Homework Help: Math: Calculus

Recent Homework Questions About Calculus

calculus
If x^2 + y^2 = 100 and dy/dt = 6, find dx/dt when y = 8. (Enter your answers as a comma-separated list.)
Thursday, November 1, 2012 at 8:17pm

Pre Calculus
(secx)/(tanx)+(cscx)/(cotx)=secx+cscx Please help me verify this trigonometric identity.
Thursday, November 1, 2012 at 7:31pm

Pre-Calculus
An open box is to be made from a piece of cardboard 11 in by 17 in, by cutting out a square of length x from each corner and turning up the sides. Express the volume V of the box as a function of the length x of the side of the square cur from each corner.
Thursday, November 1, 2012 at 3:48pm

Calculus
Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0
Thursday, November 1, 2012 at 3:20pm

Calculus
Find the volume of the solid obtained by rotating the region enclosed by y=x^3, y=25x, x ≥ 0
Thursday, November 1, 2012 at 2:56pm

calculus
a rectangle has its base on the x-axis, and its upper corners in the graph of y=27-x^2. what is the maximal area of this rectangle?
Thursday, November 1, 2012 at 1:20pm

Calculus
f(x)=(1/3)x–4 on the interval [2,9]. The domain of the inverse function is the interval [A,B] where A=? and B=?
Thursday, November 1, 2012 at 5:37am

calculus
Find the dimensions of the rectangle with the largest area that is inscribed inside the parabola y = 16- x^2 and the x-axis
Thursday, November 1, 2012 at 1:23am

Calculus
An open top box with a square base is to have a volume of exactly 500 cubic inches. Find the dimensions of the box that can be made with the smallest amount of materials.
Wednesday, October 31, 2012 at 2:42pm

Calculus
A rancher has 900 meters of fence to enclose a rectangular corral. The corral is to be divided into four subcorrals. What are the overall dimensions of the large enclosure that yield the maximum area?
Wednesday, October 31, 2012 at 2:40pm

Calculus
An offshore well is 2 miles off the coast. The refinery is 4 miles down the coast. If a laying pipe in the ocean is twice as expensive as on land, what path the pipe should follow in order to minimize the coast. Is the answer 2.1? Can you some list their steps?
Wednesday, October 31, 2012 at 2:36pm

calculus
really stuck on these two, steps would be greatly appreciated. gotta find the derivative thanks! first one: f(t)=2^(log5t) the 5 is the base second one: y=(2(x^2) - 1)^5 /(√(x+1) for the second one you have to use logarithmic differentiation
Wednesday, October 31, 2012 at 11:38am

Calculus
1. Determine whether Rolle's Theorem applied to the function f(x)=((x-6)(x+4))/(x+7)^2 on the closed interval[-4,6]. If Rolle's Theorem can be applied, find all numbers of c in the open interval (-4,6) such that f'(c)=0. 2. Determine whether the Mean Value Theorem ...
Wednesday, October 31, 2012 at 12:11am

Calculus
1. Find all relative extrema of the function f(x)=x^(6/7)-3. Use the Second Derivative Test where applicable. 2. Find all relative extrema of the function f(x)=2x^4-16x^3+4. Use the Second Derivative Test where applicable.
Tuesday, October 30, 2012 at 11:58pm

Calculus
1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers of f(if any); b) Find the open intervals where the function is increasing or decreasing; and c) Apply the First Derivative Test to identify all relative extrema 2. For the function f(x)=(x-1)^(8/11) a) Find ...
Tuesday, October 30, 2012 at 11:55pm

Calculus
1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the closed interval [0,1/2]. 2. Determine whether Rolle's Theorem applied to the function f(x)=x^2+6x+8 on the closed interval[-4,-2]. If Rolle's Theorem can be applied, find all values of c in the open ...
Tuesday, October 30, 2012 at 11:51pm

Calculus
A farmer has 120 meters of wire fencing to make enclosures for his pigs and cows. The rectangular enclosure he is considering will have one side up against a barn (in the center of one side that is 150 meters long, so the enclosure won't require fencing along that edge) ...
Tuesday, October 30, 2012 at 11:41pm

Calculus 2
Solve the differential equation: dy/dx = y^2 + y
Tuesday, October 30, 2012 at 7:44pm

calculus
Find any critical numbers of the function h(x)=sin^2(x)+cos(x) 0 < x < 2π
Tuesday, October 30, 2012 at 6:30pm

Calculus 2
The question is: n=0 E to infinity 4+sin(n)/3^n Does it converge or diverge? i'm doing this hw problem and I believe it converges according to other example? Is this the case?
Tuesday, October 30, 2012 at 11:43am

Calculus
g(x)=5x^2+3x+2 Compose g(g) and find domain
Monday, October 29, 2012 at 10:32pm

Calculus 2
Does Series n=1 to infinity 1/2n+1 converge or diverge? I'm thinking it converges, because p would be < 1 right? I'm a little confused.
Monday, October 29, 2012 at 10:10pm

Calculus
A rectangular cardboard poser is to have 150 sq ft in for printed matter. It is to have a 3inch margin at the top and bottom and a 2inch margin at the right and left. Find the dimensions of the poser so that the amount of cardboard used is minimized.
Monday, October 29, 2012 at 8:53pm

Pre Calculus
Write the Rectangular Form of the Polar Equation: r=12
Monday, October 29, 2012 at 8:53pm

Calculus
An open top bos with a square base is to be constructed from 192 sq ft of material. What should be the dimensions of the box if the volume is to be a maximum? What is the maximum volume?
Monday, October 29, 2012 at 8:51pm

calculus
f(x)=1-3x g(x)=5x^2+3x+2 find f(g) g(f) and f(f) and their domains.
Monday, October 29, 2012 at 4:17pm

Calculus
Suppose x^2+1>= f(x) >= 4x-3 for all x. Compute lim f(x) x->2
Monday, October 29, 2012 at 3:44pm

Calculus
solve for x e^(2x+3) -7=0 ln(5-2x)=-3
Monday, October 29, 2012 at 3:37pm

calculus
g(x)= (((x-1)/x)-1)/((x-1)/x) Simplify and state the domain.
Monday, October 29, 2012 at 3:19pm

Calculus
Let f(x) = 1/(x+2) and g(x)= (x-1)/x. Simplify and state the domain. f(g(x)) g(f(x))
Monday, October 29, 2012 at 2:26pm

Calculus
If the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, then k is a: 1/2 b: 1/4 c: 0 d: -1/8 e: -1/2
Monday, October 29, 2012 at 2:32am

Calculus
1. For a differentiable function f, f' be the funcyion defined by f'(x) lim h->0 =f(x+h)-f(x-h)/(h) a: Determine f'(x) for f(x)=x b: Determine f'(x) for f(x)=x^2
Monday, October 29, 2012 at 2:31am

calculus
the region bounded by the quarter circle (x^2) + (y^2) =1. Find the volume of the following solid. The solid whose base is the region and whose cross-sections perpendicular to the x-axis are squares.
Sunday, October 28, 2012 at 6:42pm

calculus
(Use the fact that the kinetic energy of a particle of mass "m" moving at a speed "v" is (1/2)m(v^2). Slice object into pieces in such a way that the velocity is approximately constant on each piece.) Q: Find the kinetic energy of a phonograph record of ...
Sunday, October 28, 2012 at 5:43pm

calculus
(Use the fact that the kinetic energy of a particle of mass "m" moving at speed "v" is (1/2)m(v^2). Slice objects into pieces in such a way that the velocity us approximately constant on each piece.) Q: Find the kinetic energy of a rod of mass 10kg and ...
Sunday, October 28, 2012 at 5:28pm

calculus
c)The price (in dollars) p and the quantity demanded q are related by the equation: p2+2q2=1100. If R is revenue, dR/dt can be expressed by the following equation: dR/dt=A(dp/dt), where A is a function of just q. i)Find A. ii)Find dR/dt when q=20 and dp/dt=4.
Saturday, October 27, 2012 at 11:31pm

calculus (math)
Simplify exactly log_2 1/16
Saturday, October 27, 2012 at 4:06pm

calculus
lim x^(3)+x x->2 Suppose x^(2)+1 is greater than equal to f(x) is greater than equal to 4x-3 for all x. Compute lim f(x) x->2
Saturday, October 27, 2012 at 11:32am

calculus
lim (x^(2)-4)/(x-2) x->2 lim x->1 (x+1)/(x-1)
Saturday, October 27, 2012 at 11:02am

Calculus
Let R be the region bounded by y=6sin((pi/2)x), y=6(x-2)^2, y=3x+3 containing the point (2,6). Find the area of R, find the volume of R rotated about the x-axis, find the volume of R rotated about the y-axis, and Suppose R is the base of a shape in which cross-sections ...
Saturday, October 27, 2012 at 1:13am

calculus
Write a formula for f^-1 (x) if f(x) = (x+5)/(3x-4) and state the domain of F^-1
Saturday, October 27, 2012 at 12:55am

Calculus
lim (2Q^(2)+5)/(q+2) q->2 lim |y+3| y->-3
Saturday, October 27, 2012 at 12:47am

calculus
The volume V of a cube with sides of length x in. is changing with respect to time. At a certain instant of time, the sides of the cube are 6 in. long and increasing at the rate of 0.3 in./sec. How fast is the volume of the cube changing at that instant of time?
Saturday, October 27, 2012 at 12:40am

Calculus
The region between the graphs of x=y^2 and x=4y is rotated around the line y=4. The volume of the resulting solid is?
Friday, October 26, 2012 at 9:24pm

Calculus
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3(x^(1/2)) , y=5 and 2y+3x=6
Friday, October 26, 2012 at 9:16pm

Calculus
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=x^2,x=y^2 about the axis x=–7
Friday, October 26, 2012 at 8:05pm

calculus
Compute each of the following limits if they exist. lim 3x^(2)-x-2 x->2 lim (x^(2)+x-6)/(x-2) x->2
Friday, October 26, 2012 at 5:36pm

Calculus
Find the slope-intercept equation of the line with the following properties: parallel to the line x=-1;containing the point (-7,2)
Friday, October 26, 2012 at 1:45pm

Calculus
Find the slope intercept equation of the line with the following properties :parallel to the line x=-1; containing the point( -7,2)
Friday, October 26, 2012 at 11:15am

Calculus
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 cm^3 per second. How fast is the surface area of the balloon increasing when its radius is 9cm? * ball of radius r has volume V=(4/3)pi r^3 and surface area S=4pir^2 ** I try to do it ...
Thursday, October 25, 2012 at 7:42pm

Calculus
If f(x)=8 ln(6x+3 ln (x)), find f'(x)
Thursday, October 25, 2012 at 7:04pm

Calculus (Urgent Help)
The graph of y=cos x * ln cos^2x has seven horizontal tangent lines on the interval [0,2pi]. Find the x-coordinate of all points at which these tangent lines occur.
Thursday, October 25, 2012 at 2:59pm

calculus
a curve is such that dy/dx = x^2 - 1 Show that no tagent to this curve is parallel to the line with equation 3x + 2y - 4 = 0
Thursday, October 25, 2012 at 1:48pm

Calculus (Help)
The graph of y=cos x * ln cos^2x has seven horizontal tangent lines on the interval [0,2pi]. Find the x-coordinate of all points at which these tangent lines occur. What the derivative of the function?
Thursday, October 25, 2012 at 3:09am

calculus
don't understand at all... find the slope of the tangent line to the curve y=xe^x at (1,e)
Wednesday, October 24, 2012 at 9:36pm

calculus
(a) Find the number c such that the limit below exists. Limit as x goes to -2 of: x^2+cx=c-3/x^2+2x (b) Calculate the limit for the value of c in part (a).
Wednesday, October 24, 2012 at 6:46pm

Calculus
A baseball diamond is a 90 foot square with the pitcher's mound at the square's center. A runner races for home at 25 ft/sec. How fast is his distance from the pitcher changing as he crosses the plate?
Wednesday, October 24, 2012 at 2:37pm

BC Calculus
Use linear approximation to estimate sec^2(pi/4 + .025) Need help quickly please!! :)
Wednesday, October 24, 2012 at 2:17pm

Calculus
What is the point of inflection of the function f(x)=x^3-8x^2+5x+50? Is the local extrema at f(1/3)=50.8 max and f(5)=0 min? For the second derivative I got f(x)=6x-16 and then got x=16/6 when set to zero.
Wednesday, October 24, 2012 at 1:09pm

Calculus
An open topped cylinder has a volume of 125 cubic inches. Express the surface area of the cylinder as a function of its radius.
Tuesday, October 23, 2012 at 9:52pm

calculus
A man starts walking north at 4ft/s from a point P. Five minutes later a woman starts walking south at 5ft/s from a point 500 ft due east of P. At what rate are the people moving apart 15 min after the woman starts walking? I'm confused about the diagram and what to do ...
Tuesday, October 23, 2012 at 8:11pm

Calculus
A woman 5 ft tall walks at the rate of 5.5 ft/sec away from a streetlight that is 16 ft above the ground. At what rate is the tip of her shadow moving?
Tuesday, October 23, 2012 at 4:47pm

Calculus
find the points on the curve x^2+xy+y^2=7 (a) where the tangent is parallel to the x-axis and (b) where the tangent is parallel to the y-axis. In the latter case, dy⁄dx is not defined, but dx⁄dy is. What value does dx⁄dy have at these points?
Tuesday, October 23, 2012 at 2:47pm

calculus
Two cars start from the same point at the same time. One travels north at 25 mph, and the other travels east at 60 mph. How fast is the distance between them increasing at the end of 1 hr? Find D after 1 Hr, solve D^2=25^2+ 60^2
Tuesday, October 23, 2012 at 10:22am

calculus
Find the equation of the tangent line to the graph of the function f(x)=x-3/3x-5 at x=1
Monday, October 22, 2012 at 10:32pm

Physics
A 59.1 N/m spring is unstretched next to the 90 degree angle of an incline, and the system is released from rest. The mass of the block on the incline is m1 = 21.4 kg. (Neglect the mass of the pulley). If the coefficient of kinetic friction between m1 (the one sliding down the...
Monday, October 22, 2012 at 10:22pm

Calculus 1
Find the derivative of y with respect to x. y=(x^6/6)(lnx)-(x^6/36) So far this is what I've gotten: y=(x^6/6)(lnx)-(x^6/36) y=(1/6)x^6(lnx)-(1/36)x^6 y'=(1/6)x^5(1/x)+lnx(x^5)-(1/6)x^5 What do I do now?
Monday, October 22, 2012 at 8:33pm

Calculus
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(-3.23x10-5h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given by travelers is that air pressure drops ...
Monday, October 22, 2012 at 7:47pm

calculus
Find the derivative of (x^2)(e^-3x)
Monday, October 22, 2012 at 7:44pm

calculus
A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 24 ft/s. a.) At what rate is his distance from second base decreasing when he is halfway to first base? b.) At what is his distance from third base increasing at ...
Monday, October 22, 2012 at 6:56pm

Math Calculus 2
At a certain instant an aircraft flying due east at 240 miles per hour passes directly over a car traveling due southeast at 60 miles per hour on a straight, level road. If the aircraft is flying at an altitude of .5mile, how fast is the distance between the aircraft and the ...
Monday, October 22, 2012 at 4:37pm

calculus
Find the limits lim_x->2 x^3+x lim_x->2 (x^2-4)/(x-2)
Monday, October 22, 2012 at 4:11pm

Calculus
Find the limits if they exist lim_x->0 x/|x| lim_x->0+ sqr(x+4)
Monday, October 22, 2012 at 3:26pm

calculus
What is the degree 5 coefficient of the polynomial p(x)= x^2 (x+1) (x+3x^3 + 4x^4)?
Monday, October 22, 2012 at 2:57pm

Calculus
Im finding local Min and max of x^2/x-2 I know I take the derivative of the first one but how do i derive this one. And the second one especially don't know how to do.
Monday, October 22, 2012 at 1:01pm

calculus
Left f(x) = 1/x+2 and g(x) = x-1/x. Simplify as much as possible and sstate the domain. f 0 g(x) g 0 f(x)
Monday, October 22, 2012 at 12:58pm

Calculus
The population (in thousands) of the Tzitzit bird is well described by a function of the form P(t) = ae^kt, where t is the time in years and a and k are constants. If the population was 10 thousand when t-0 and 300 thousand when t=3, determine the constants a and k exactly. ...
Monday, October 22, 2012 at 12:40pm

Calculus (math)
Write a formula for f^-1 (x) if f(x) = (x+5)/(3x-4) and state the domain of f-1
Monday, October 22, 2012 at 12:24pm

Calculus
simplify log2(4x^2 2^x)
Monday, October 22, 2012 at 12:18pm

calculus
A health club offers memberships at the rate of $300, provided that at least 50 people join. For each member in excess of 50, the membership fee will be reduced by $2 for all members. Due to space limitations, at most 125 memberships will be sold. How many membersips should ...
Monday, October 22, 2012 at 11:15am

calculus
compute the maximum profit for the profit function P(x)= x^3/3-9/2x^2+8x
Monday, October 22, 2012 at 9:47am

Calculus
Find the inflection points of f(x)=8x^4+46x^3-18x^2+1. (Give your answers as a comma separated list, e.g., 3,-2.) Please Help!!!!!
Monday, October 22, 2012 at 9:40am

Calculus
use the intermediate value theorem to prove that every real number has a cubic root. That is, prove that for any real number a there exists a number c such that c^3=a
Sunday, October 21, 2012 at 11:50pm

Math- Calculus
A 20 foot ladder is sliding down a vertical wall at a constant rate of 2 feet per second. a) How fast is the ladder moving away from the wall when the base of the ladder is 12 feet away from the wall? b) Find the rate of change at which the angle between the ladder and the ...
Sunday, October 21, 2012 at 11:46pm

calculus
If f and g are two functions for which f' = g and g' = f for all x, then prove that f^2 - g^2 must be a constant.
Sunday, October 21, 2012 at 2:13pm

Calculus
Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (-infinity, infinity) Intercepts: (0,1)and(-1,0) ...
Saturday, October 20, 2012 at 8:57pm

Pre-Calculus
Applications of Logarithms I really need help with this log stuff please. If the PH of acetic acid is 5, what is the PH of hydrochloric acid if it is 200 times more acidic? the formula is right here: P=P0*10^PH2-PH1 200=10^5-PH1 log200=(5-PH1)log10 And I dont know where to go ...
Saturday, October 20, 2012 at 7:34pm

Calculus
Suppose f and g are inverses, and (1,5) is a point on the graph of f. If f'(1) = -3, what, if anything, does that tell us about g'(1).
Saturday, October 20, 2012 at 5:45pm

Calculus.......plz help! =)
Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes, and points of inflection for y = -x(x+1)^3
Saturday, October 20, 2012 at 4:01pm

CALCULUS
A cone shaped paper drinking cup is to be made from a circular piece of paper of radius 3 inches by cutting out a sector of the circle and gluing the straight edges together. Find the angle of the cut that gives the cup with the largest capacity.
Saturday, October 20, 2012 at 3:55pm

Calculus -- HELP!
If 1200 square centimeters of material is available to make a box with a square base and open top, find the largest possible volume of the box.
Saturday, October 20, 2012 at 3:49pm

Calculus
Use Newton's Method to approximate the positive root of the function f(x) = (x^5) - 20 Show each iteration until successive iterations agree to six decimal places.
Saturday, October 20, 2012 at 3:40pm

calculus!
Use differentials to approximate the maximum error propagated when calculating the volume of a sphere, if the radius is 5 + or - .01 meters
Saturday, October 20, 2012 at 3:35pm

Calculus
Sketch the graph of f(x)=x^2/x-2. Identify the domain, x-intercepts, y intercepts, symmetry, periodicity, asymptotes, increasing and decreasing intervals, local max/min, concavity, inflexion points.
Saturday, October 20, 2012 at 3:28pm

Calculus
Use any calculus method to determine extrema, intervals where the function is increasing or decreasing, asymptotes,and points of inflection for y = -x^4 + 2x^3 - x + 2
Saturday, October 20, 2012 at 3:26pm

calculus (vectors)
Determine a vector that is orthogonal to the vector e = [3, -1, 4]
Saturday, October 20, 2012 at 12:42pm

Calculus
I am maybe overthinking this, but what is the lim as n-> infinity of |(n+1)/(n+2)| ? I am trying to use the ratio test to find interval of convergence for the infiinite series (n/n+1)((-2x)^(n-1)) so i did the limit of |(n+1)/(n+2)| but i am wondering if the limit is simply...
Saturday, October 20, 2012 at 10:50am

Calculus
does infinite power series -1/n diverge? (i think so, because it is just the negative of the harmonic series)...? thank you!
Saturday, October 20, 2012 at 10:13am

calculus
Write h(x) = 6x^4 - 2x^2 + 1 as a composition of two functions f and g
Saturday, October 20, 2012 at 9:53am

calculus
suppose that f(x) = x^3 x<=1 ax+b x>1 is differentiable at x=1 then a=?, b=?
Saturday, October 20, 2012 at 8:44am

calculus
For the function y = 9x2 + 6x + 2, at the point x = 7, find the following. (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function
Saturday, October 20, 2012 at 1:34am

calculus
A cylinder is generated by rotating a rectangle with perimeter 12 in. about one of its sides.? Express the volume of the cylinder as a function of x. Find the approximate value of x that maximizes the volume. Then give the approximate maximum volume.
Friday, October 19, 2012 at 9:49pm

calculus
what is the integral of (e^x)/(sqrt(9(e^2x))-25)?
Thursday, October 18, 2012 at 10:52pm

Calculus
(x) = x ^3 - 12 x + 11, write the equation of the line tangent to the curve at x = 1
Thursday, October 18, 2012 at 10:34pm

Calculus
Find the first and second derivative for the function g(t)=t^2(3t+1)^4
Thursday, October 18, 2012 at 10:12pm

Calculus L'Hopital Rule
lim x->0 (x)sin(x)/1-cos(x). They both go to 0 so 0/0. now take L'H and product rule of top? lim x->0 (1)sin(x)+ cos(x)(x)/1-cos(x) what next? how do i solve from here?
Thursday, October 18, 2012 at 12:34pm

Calculus (Please Check)
Show that the equation x^5+x+1 = 0 has exactly one real root. Name the theorems you use to prove it. I.V.T. *f(x) is continuous *Lim x-> inf x^5+x+1 = inf >0 *Lim x-> -inf x^5+x+1 = -inf <0 Rolles *f(c)=f(d)=0 *f(x) is coninuous *f(x) is differentiable f'(x) = ...
Thursday, October 18, 2012 at 11:34am

Calculus
Find the critical points of f(x)=x^4e^-x. You would use the product rule. Then what?
Thursday, October 18, 2012 at 9:21am

Calculus
The side of a square box is increasing at a rate of 4mm/s and its height is increasing at a rate of 2mm/s. How fast is the volume increasing when the side is 40mm and the height is 100mm. Can someone just tell me what formula to use?
Thursday, October 18, 2012 at 9:19am

Calculus HELP PLEASE!!!
Find all extrema for the function y=x^5-2x^3+3 on the interval [-10...10]
Thursday, October 18, 2012 at 2:40am

Pre-Calculus - Reiny
Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, dont know where to go abouts from here: I did it on paint and uploaded it...
Wednesday, October 17, 2012 at 10:24pm

Calculus
A differentiable function f(x,y) has the property that f(2,2)=2 and fx(2,2)=1 and fy(2,2)=2. Find the equation of the tangent plane at the point on the surface z=f(x,y) where x=2, y=2.
Wednesday, October 17, 2012 at 9:32pm

Calculus
use the mean value theorem to find the c's on the open interval (a,b) such that fprime(c)= (f(b)-f(a))/(b-a) f(x)= 3xlog(base 2)x , [1,2]
Wednesday, October 17, 2012 at 4:40pm

Calculus II
Fed loves polynomials with rational coefficients and only such polynomials.Suppose f(x)=square root of x. Find a polynomial P(x) that Fred will adore so that, for any x in the interval [3,5], the difference between P(x) and f(x) is less than .01 Hint: The interval is [3,5]. ...
Wednesday, October 17, 2012 at 1:43pm

Calculus
The hypotenuse of a right triangle is 25 ft. If one of the acute angles increases at rate of 4 degrees per second, how fast is the area increasing when the angle is 30 degrees.
Wednesday, October 17, 2012 at 7:38am

Calculus
A ladder 10 ft leans against a vertical wall. The upper end slips down the wall at 5 ft/sec. How fast is the ladder turning when it takes an angle of 20 degrees with the ground.
Wednesday, October 17, 2012 at 7:34am

Pre-Calculus
Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, dont know where to go abouts from here: I did it on paint and uploaded it onto this website because I dont know how to do the subscript numbers, so it probably wouldnt really ...
Tuesday, October 16, 2012 at 11:42pm

Pre-Calculus
Laws of Logarithms Without using a calculator use the change of base rule to evaluate 1. a) log(subscript8)32(hint use base 2) =log(subscript2 32)/log(subscript2 8) = 5/3 b) log(subscript36)1296. This one doesnt even give you a hint, so how do you know which base to use? Does ...
Tuesday, October 16, 2012 at 10:25pm

Pre-Calculus
Exponential Functions A=P(X)^t/n A-final amount P-initial amount X-growth rate t-time n-number of growth periods The teacher had this question as an example and did it however i do not understand one thing: The Ebola virus double every 30 min. If there are currently 2000 ebola...
Tuesday, October 16, 2012 at 10:05pm

Calculus
y = 1/2x^2-x + 3 for 0_<x_<6. (b) Calculate the mid-ordinates of 5 strips between x = 1 and x = 6, and hence use the mid- ordinate rule to approximate the area under between x = 1, x = 6 and the x-axis. (c) Assuming that the area determined by integration to be the ...
Tuesday, October 16, 2012 at 8:37pm

Calculus
Find the d^3z/dydx^2 partial derivative of: ln[sin(x-y)] The answer is supposed to be 1/2; however, I cannot figure out how to get this answer. Any help is appreciated.
Tuesday, October 16, 2012 at 8:34pm

Calculus
Water is leaking out of an inverted conical tank at a rate of cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height centimeters and the diameter at the top is centimeters. If the water level is rising at a ...
Tuesday, October 16, 2012 at 5:31pm

calculus
An airplane is cruising at 340 km/h at an altitude of 4000 m. If the plane passes directly over an observer on the ground, how fast is the distance from the plane to the observer changing when it is 3000 m away from the point directly above the observer?
Tuesday, October 16, 2012 at 5:31pm

Calculus
A rectangular play area is to be fenced off in a person's yard and is to contain 108 yd^2. The next-door neighbor agrees to pay half the cost of the fence on the side of the play area that lies along the property line. What dimensions will minimize the cost of the fence?
Tuesday, October 16, 2012 at 11:46am

calculus
A street light is mounted at the top of a 6-meter-tall pole. A man 2 m tall walks away from the pole with a speed of 1.4 m/s along a straight path. How fast is the tip of his shadow moving when he is 16 m from the pole?
Tuesday, October 16, 2012 at 2:53am

Calculus
What is the derivative of 7e^(3sin^(4x+5))?
Tuesday, October 16, 2012 at 12:44am

Calculus
What is the derivative of 2^(5x)tan(x^2)
Tuesday, October 16, 2012 at 12:42am

Calculus integral
evaluate the integral: integral from -pi/4 to 0 for the function 6sec^3x dx. it has to be an exact answer and i did it and keep getting it wrong. I got 4sqrt(2)-4ln(-sqrt(2)+1)
Tuesday, October 16, 2012 at 12:40am

Calculus
Assuming that f and g are functions differentiable at a (though we do not know their formulas). Prove that f +g is differentiable at a using the definition of the derivative.
Monday, October 15, 2012 at 11:37pm

Calculus
What is the derivative of sin(3x+1)^4?
Monday, October 15, 2012 at 10:29pm

calculus
suppose f(x) is a function such that f(3)=5, f'(3)=0, and f''(3)=3. Is the point (3, 5) a relative maximum, minimum or inflection point?
Monday, October 15, 2012 at 9:57pm

calculus
if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), then evaluate the limit (3h(x)+f(x)-2g(x), assuming you know the following things about h(x): h is continuous everywhere except when x = -1 lim as x approaches infinity of h(x) = infinity lim as x approches -1...
Monday, October 15, 2012 at 8:04pm

AP Calculus
if i define the function f(x)= x^3-x^2-3x-1 and h(x) = f(x)/g(x), then evaluate the limit (3h(x)+f(x)-2g(x), assuming you know the following things about h(x): h is continuous everywhere except when x = -1 lim as x approaches infinity of h(x) = infinity lim as x approches -1...
Monday, October 15, 2012 at 6:26pm

Calculus
a square is defined by the unit vectors i(vector) and j(vector). FInd the projections of i(vector) and j(vector) on each of the diagonals of the square.
Monday, October 15, 2012 at 6:03pm

Calculus
y=sqrt(x)^1/x. Find dy/dx That is to the power of 1/x So to start this do I need to take Ln on both sides and then use a logarithm property? Ln(y)=lnx^1/2x?
Monday, October 15, 2012 at 4:35pm

Calculus
f(theta)= 4sec(theta)+ 2tan(theta), 0 less than theta less than 2pi. find all critical numbers
Monday, October 15, 2012 at 1:57pm

Calculus
Find dy/dx using implicit differentiation of xy + sin^2y=10350. Is it -y/(x+2siny)
Monday, October 15, 2012 at 12:26pm

Calculus
Find the equation of the tangent line to the graph of the function f(x)= 2x^3−3x^2+4x+2 at x=2 I got y=16x-12 but I know it is wrong.
Monday, October 15, 2012 at 12:14pm

Calculus
Find the dervatives: 1. f(x)=(3x+1)e^x^2 2. y = e^(sin x) ln(x) 3. f(x)=(x^(2)+x)^23 4. f(x)=sin(2x)/cosx 5. square root of x/(3x+1) 6. f(x)=sin^4(3x=1)-sin(3x+1) 7. x+y=cos(xy) The answers I got: 1. 6x^(2)e^(x^2)+2xe^(x^2)+3e^(x^2) 2. e^sinx/x + -lnxe^(sinx)cosx 3. 46x+23(x^2...
Monday, October 15, 2012 at 12:04pm

Calculus
Air is being pumped into a spherical balloon and the volume is increasing at the rate of 100 cubic cm per minute. How fast is the radius of the balloon increasing when the radius is 10 cm? (V=4/3 times pie times r^3)
Monday, October 15, 2012 at 11:54am

Calculus
Let Q(x)= f(f(x)−g(x)). Find Q'(x).
Monday, October 15, 2012 at 11:52am

Calculus
Find an equation of the tangent line to the curve of f (x) = x^3 − 8, at the point where the curve crosses the x-axis.
Monday, October 15, 2012 at 11:51am

Calculus
A pebble is dropped into a pond, causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate of 2 feet per second. When the radius is 10 feet, at what rate is the total area A of the disturbed water changing?
Monday, October 15, 2012 at 11:50am

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