Thursday
September 3, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

calculus
1.) Find the derivative of ((x + 3)/e^x) ^ (Log e X) 2.) T/F (log e X)' = (log e |x|)' 3.) T/F (Log e 7x)' = (log e x)' 4.) Find the derivative of e^(log e 7x)
Sunday, March 15, 2015 by Alex

Calculus check
Let f(x) be a polynomial function such that f(3)=3, f'(3)=0 and f"(3)=-3. What is the point (3,3) on the graph y=f(x)? A. Relative maximum B. Relative minimum C. Intercept D. Inflection point E. None of these I got C
Sunday, March 15, 2015 by Sarah

Please check my calculus
If x^2+xy-y=2, find dy/dx My answer: (2x+y)/(1-x)
Sunday, March 15, 2015 by Anonymous

Calculus check
Given f(x)=x^4(2x^2-15). On what interval(s) is the graph of f concave upwards? A. (0, sqrt(3)) B. (-sqrt(3), 0) C. (-sqrt(3), 0) and (0, sqrt(3)) D. (-sqrt(3), sqrt(3)) E. (Negative infinity, -sqrt(3)) and (sqrt(3), infinity) I got E
Sunday, March 15, 2015 by Sarah

calculus
The graph of the function y=x^5-x^2+sinx has a point of inflection at x= a. 0.324 b. 0.499 c. 0.506 d. 0.611 e. 0.704 Thanks.
Sunday, March 15, 2015 by John

Calculus
For f(x)=x^2/3(x^2-4) on [-2,2] the "c" value that satisfies the Rolle's Theorem is A. 0 B. 2 C. +or-2 D. There is no value for c because f(0) does not exist E. There is no value for c because f(x) is not differentiable on (-2,2)
Sunday, March 15, 2015 by Anonymous

Calculus check
An equation of the line tangent to y=sinx+2cosx at (pi/2, 1) is A. 2x-y=pi-1 B. 2x+y=pi+1 C. 2x-2y=2-pi D. 4x+2y=2-pi I got A
Sunday, March 15, 2015 by Sarah

Calculus check
The smallest slope of f(x)=6x^2-x^3 for 0 is less than or equal to x is less than or equal to 6 occurs at x= A. 0 B. 2 C. 3 D. 4 E. 6 I got E
Sunday, March 15, 2015 by Sarah

Calculus
Let f be a function such that the limit as h approaches 0 [(f(5+h)-f(5))/h]=4. Which of the following must be true? I. f(5)=4 II. f'(5)=4 III. f is continuous at x=5 A. I only B. II only C. III only D. I and II only E. II and III only
Sunday, March 15, 2015 by Anonymous

Calculus check
The limit as x approaches 1 (x^3-1)/(x^2-1) is I got 3/2
Sunday, March 15, 2015 by Sarah

calculus
What is the limit, as x approaches 1, of (sqrt(x) - 1)/(x - 1)? I need to show work, but I know the answer is 3/2, because I confirmed with a TI-89.
Sunday, March 15, 2015 by John

Calculus
If f'(x)=sinx and f(pi)=3, then f(x)= A. Cosx+4 B. Cosx+3 C. -cosx+2 D. -cosx-2 E. -cosx+4
Sunday, March 15, 2015 by Anonymous

Please check my Calculus
f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is A. Even B. Odd C. Divisible by 3 D. For all values E. For no values I got B.
Sunday, March 15, 2015 by Anonymous

Calculus check
Find the equation of the line tangent to y=tan2x at x=pi/8 A. y-1=sqrt(2)(x-pi/8) B. y-1=1/2(x-pi/8) C. y-1=1/4(x-pi/8) D. y-1=2(x-pi/8) E. y-1=4(x-pi/8) I got A
Sunday, March 15, 2015 by Sarah

Calculus
If f(x) is a continuous function with f"(x)=-5x^2(2x-1)^2(3x+1)^3 , find the set of values for x for which f(x) has an inflection point. A. {0,-1/3,1/2} B. {-1/3,1/2} C. {-1/3} D. {1/2} E. No inflection points
Sunday, March 15, 2015 by Anonymous

Calculus
The integral of sqrt(x)(sqrt(x)+1) dx A. 2(x^3/2+x)+c B. x^2/2+x+c C. 1/2(sqrt(x)+1)^2+c D. x^2/2+2x^3/2/3+c E. x+2sqrt(x)+c
Sunday, March 15, 2015 by Anonymous

Calculus
Given the function f(x)= sqrtx a) Let M= f´´(50) and N=f''(49). Argue on that f´´(x) lies between M og N if x =]49,50[ (Tip: show that f´´(x) is increasing function, that is look at f´´´(x)). b) Use the numbers from...
Sunday, March 15, 2015 by Calculus

Calculus
If y=3x-7, x is greater than 0, what is the minimum product of x^2y? A. -5.646 B. 0 C. 1.556 D. 2.813 E. 4.841
Sunday, March 15, 2015 by Anonymous

Calculus
If the limit as x approaches infinity (6x^2/200-4x-kx^2)=1/2, then k= A. 3 B. -3 C. 12 D. -12 E. -3
Sunday, March 15, 2015 by Anonymous

Calculus
A conical tank has a height that is always 3 times its radius. If water is leaving the tank at the rate of 50 cubic feet per minute, how fast if the water level falling in feet per minute when the water is 3 feet high? Volume of a cone is V=1/3(pi)r^2h A. 1.000 B. 5.305 C. 15....
Sunday, March 15, 2015 by Anonymous

Calculus check
Given f(x)=4+3/x find all values of c in the interval (1,3) that satisfy the mean value theorem. A. 2 B. Sqrt(2) C. Sqrt(3) D. +or- sqrt(3) E. MVT doesn't apply I got C
Saturday, March 14, 2015 by Sarah

Calculus
For how many values of x will the tangent lines to y=4sinx and y=x^2/2 be parallel? A. 0 B. 1 C. 3 D. 4 E. Infinite
Saturday, March 14, 2015 by Anonymous

Calculus
if f'(x)=2(3x+5)^4 , then the fifth derivative of f(x) at x=-5/3 is A. 0 B. 144 C. 1,296 D. 3,888 E. 7,776 I got A
Saturday, March 14, 2015 by Sarah

Calculus
A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true? A. f'(1)=0 B. f' exists at x=1 C. The graph is concave up at x=1 D. f'(x) is less than 0 if x is less than 1, f'(x) is greater than 0 if x is greater than 1 E. f'(...
Saturday, March 14, 2015 by Anonymous

Calculus
The circumference of a circle is increasing at a rate of 2pi/5 inches per minute. When the radius is 5 inches, how fast is the area of the circle increasing in square inches per minute? A. 1/5 B. pi/5 C. 2 D. 2pi E. 25pi
Saturday, March 14, 2015 by Anonymous

Calculus check
If f(5)=3 and f'(5)=-2, find the derivative of x^2f(x) at x=5. A. 0 B. -18 C. -12 D. -20 E. -80 I got D
Saturday, March 14, 2015 by Sarah

Calculus
The normal (perpendicular) line to the curve y=sqrt(8-x^2) at (-2,2) has slope A. -2 B. 1/2 C. -1/2 D. 1 E. -1 I got A
Saturday, March 14, 2015 by Sarah

calculus trig substitution
∫ x^3 √(x^2+9) dx If you work it can you write the steps? I really don't like the way my teacher teaches it. Someone else doing it might help.
Saturday, March 14, 2015 by Allie

Calculus
∫ x^3 √(16-x^2) dx evaluated between [0, 4] I know this is solved using trigonometric substitution, but I'm not sure how to work it. Please show steps so I will understand.
Saturday, March 14, 2015 by Nick

Calculus 2
∫ tan^2 (x) sec^4 (x) dx ∫ [tan^2 (t) + tan^4 (t)] dt ∫ [1-tan^2 (x)] / [sec^2 (x)] dx Trigonometric integral Please show steps so I can understand!
Saturday, March 14, 2015 by Janice

Calculus check
The integral of (x^2-4secxtanx) dx= I got x^3/3-4secx+c
Saturday, March 14, 2015 by Sarah

Calculus
In the next questions, a particle is moving along a horizontal line according to the formula: s=2t^4-4t^3+2t^2-1 a) the particle is moving right when A. 0 is less than t is less than 1/2 B. t is greater than 0 C. t is greater than 1 D. 0 is less than t is less than 1/2, t is ...
Saturday, March 14, 2015 by Anonymous

Calculus
f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is A. Even B. Odd C. Divisible by 3 D. For all values E. For no values
Saturday, March 14, 2015 by Anonymous

Calculus
If y=3/(sinx+cosx) , find dy/dx A. 3sinx-3cosx B. 3/(sinx+cosx)^2 C. -3/(sinx+cosx)^2 D. 3(cosx-sinx)/(sinx+cosx)^2 E. 3(sinx-cosx)/(1+2sinxcosx)
Saturday, March 14, 2015 by Anonymous

Pre-Calculus
How many parameters in a quadratic function in a vertex form change when you change the location of the vertex? ( P and Q change? The value of the coefficient( a ) may also change?)
Saturday, March 14, 2015 by Lucina

Calculus check revised.
y=-1/sqrt(x^2+1) , then dy/dx= A. x/(x^2+1)^1/2 B. x/(x^2+1)^3/2 C. -x/(x^2+1)^1/2 D. -x/(x^2+1)^3/2 E. x/(x^2+1) I got B.
Saturday, March 14, 2015 by Sarah

Calculus check
y=-1/sqrt(x^2+1) , then dy/dx= A. x/(x^2+1)^1/2 B. x/(x^2+1)^1/2 C. -x/(x^2+1)^1/2 D. -x/(x^2+1)^3/2 E. x/(x^2+1) I got B.
Saturday, March 14, 2015 by Sarah

Calculus check
If f(x)=sin^2(3-x) then f'(0)= A. -2cos3 B. -2sin3cos3 C. 6cos3 D. 2sin3cos3 E. 6sin3cos3 I got B
Saturday, March 14, 2015 by Sarah

Calculus
The limit as x approaches 4 ((-3x+1)/(x-4)^2) is A. -11 B. -13 C. Infinity D. Negative infinity E. DNE
Saturday, March 14, 2015 by Anonymous

Calculus
Find an equation of a line tangent to y = 2sin x whose slope is a maximum value in the interval (0, 2π] I believe the equation is y=2x-4pi. How is the b-value -4pi?
Saturday, March 14, 2015 by Sara

Calculus
How would I find the instantaneous rate of change using this formula y=3.9657(0.9982^x) and given a table of values?
Friday, March 13, 2015 by Sara

Pre-Calculus
I posted this question about an hour ago, got a response but still confused. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers ...
Friday, March 13, 2015 by Alyssa

Pre-Calculus
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is smaller than ∠B2.) a = 34, c = 43, ∠A = 39&...
Friday, March 13, 2015 by Alyssa

Calculus 1
Find the derivative of the function. F(t) = e^(4t sin 2t)
Friday, March 13, 2015 by TayB

Calculus 1
Use logarithmic differentiation to find the derivative of the following equation. y = (2x+1)^5(x^4−3)^6
Friday, March 13, 2015 by TayB

Calculus 1
Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x
Thursday, March 12, 2015 by TayB

Calculus 1
Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx)
Thursday, March 12, 2015 by TayB

calculus
A ladder 13 feet long is leaning against the side of a building. If the foot of the ladder is pulled away from the building at a constant rate of 8 inches per second, how fast is the area of the triangle formed by the ladder, the building, and the ground changing in feet ...
Thursday, March 12, 2015 by beth

Pre-Calculus
One walker was sponsored $100 plus $5 for the first kilometre, $10 for the second kilometre, $15 for the third kilometre, and so on. How far would this walker need to walk to earn $150? (I know it is 4 km, but I can't figure out how to write the general term.)
Wednesday, March 11, 2015 by Lucina

Calculus 1
If f(x)=3 sin x+ln(5x), find f '(x).
Wednesday, March 11, 2015 by TayB

Pre-Calculus(Trignometry)
There are 3 airports, A , E and G. G is 200km from A.E is 160 km from A From G the bearing of A is 052 degrees. From A the bearing of E is 216 degrees. What's the distance between A and G? 360- 216 = 144 144-52 = 128 144-128 = 16 a^2 = b^2+c^2-(2*b*c)*cos(A) a^2 = 160^2 + ...
Tuesday, March 10, 2015 by Lucina

Calculus
An observer is 36m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 26m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
Tuesday, March 10, 2015 by Zee

Pre-Calculus
Determine a quadratic function in vertex form given each set of characteristics. * minimum value of -24 and x-intercepts at -21 and -5 I have: (-21,0) and (-5,0) How would I find the x-coordinate of the vertex? (Thank you)
Tuesday, March 10, 2015 by Lucina

Pre-Calculus
Water is spraying from a nozzle in a fountain forming a parabolic path. The nozzle is 10 cm above the service of the water. The water achieves a max height of 100 cm above the waters surface and lands in the pool. The water spray is again 10 cm above the surface of the water ...
Tuesday, March 10, 2015 by Lucina

Calculus
An observer is 23m above the ground floor of a large hotel atrium looking at a glass-enclosed elevator shaft that is 15m horizontally from the observer. The angle of elevation of the elevator is the angle of the observer's line of sight makes with the horizontal (it may be...
Tuesday, March 10, 2015 by Zee

calculus
If 3x^2 + y^2 = 7 then evaluate the second derivative of y with respect to x when x = 1 and y = 2. Round your answer to 2 decimal places.
Tuesday, March 10, 2015 by Jordan

Calculus
For which pair of functions f(x) and g(x) below will the lim f(x)/g(x)equal 0 x-infinity f(x) e^x; g(x) = x^3 f(x) x^5; g(x) = e^x f(x) x^3; g(x) = ln(x) f(x) x^negative 2; g(x) = e^negative x
Tuesday, March 10, 2015 by Gary

Calculus
A curve passes through the point (7,6) and has the property that the slope of the curve at every point P is 4 times the y-coordinate of P. What is the equation of the curve? Simplify the equation as much as possible.
Monday, March 9, 2015 by Matt

Calculus
For the question "Determine the equation of the tangent to the curve y = xtanx at the point with x-coordinate π." how is the answer -πx + y + π2 = 0?
Monday, March 9, 2015 by Sara

Calculus 2
find an equation to the curve at the point corresponding to the given value of the parameter. x = tcost y = tsint when t = π i know I am supposed to find dy and dx which is: dy = (product form) t*-sint + 1*cost simplifying = -tsint+cost dx = tcost+sint now, to find the I ...
Monday, March 9, 2015 by Hanky

Calculus 1
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x^2+y^2=(2x^2+4y^2−x)^2 (0, 0.25) (cardioid)
Monday, March 9, 2015 by TayB

Calculus (Integral)
How would you take the integral of the following two functions: 1) ∫ 25 / e^x(25 + e^2x) dx 2) ∫ 7x / x^3 + 27 dx
Monday, March 9, 2015 by Misa

Pre-Calculus
What are the vertices and co vertices of the ellipse x^2/4 + y^2/25=1 I actually have no idea how to even start to solve this problem, so any help will be appreciated. Steps on how this problem is solved are also appreciated.
Friday, March 6, 2015 by Julissa

Calculus
Find the general solution for the differential equation. Leave your solution in implicit form. dx/dt=(2-x)sqrt(1-x)
Thursday, March 5, 2015 by Anonymous

Calculus
Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2
Thursday, March 5, 2015 by Cat

Calculus, HELP!!
1) A rectangular page is to contain 24 square inches of print. The page has to have a 6-inch margin on top and at the bottom and a 1-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used. 2) A cable runs along a wall from C to P at a ...
Thursday, March 5, 2015 by Henry

Calculus
1) A rectangular page is to contain 16 square inches of print. The page has to have a 2-inch margin on top and at the bottom and a 2-inch margin on each side. Find the dimensions of the page that minimize the amount of paper used. 2) A rectangular garden of area 480 square ...
Thursday, March 5, 2015 by Gary

Calculus (Partial Derivatives)
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately H hybrid cars will be sold each year, where H(x,y)=6000−13x^(1/2)+2(0.1y+20)^(​3/2). She estimates...
Wednesday, March 4, 2015 by Bill

Math (advice)
So in my calculus class we learned about implicit differentiation today. The professor would stop and ask if we had any questions, which was nice. I didn't ask any questions though, because I don't really like to ask questions during class. I didn't really get ...
Wednesday, March 4, 2015 by TayB

calculus
differentiate y = 2^3x^2 read as two to the 3x squared power
Wednesday, March 4, 2015 by paula

Calculus 1
Find an equation of the tangent line to the curve at the given point. y =(1+2x)^12, (0,1)
Wednesday, March 4, 2015 by TayB

Calculus 1
The curve y =|x|/(sqrt(5−x^2)) is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point (2,2).
Wednesday, March 4, 2015 by TayB

Calculus 1
Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3).
Wednesday, March 4, 2015 by TayB

Calculus Physics
A glass of orange juice is on the floor of a subway car traveling along a straight path at constant velocity. Everything's fine. The coefficient of static friction between the glass and the floor is 0.32. The subway suddenly accelerates forward. What is the maximum ...
Wednesday, March 4, 2015 by Mik

Pre-calculus (trigonmetry)
The Bermuda Triangle is an unmarked area in the Atlantic Ocean where there have been reports of unexplained disappearances of boats and planes and problems with radio communications. The triangle is an isosceles triangle with vertices at Miami, Florida, San Juan, Puerto Rico, ...
Tuesday, March 3, 2015 by Lucina

calculus
Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]
Tuesday, March 3, 2015 by kales

calculus
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.
Tuesday, March 3, 2015 by Danijela

calculus
Find the arc length of the given function/curve on the given interval. y=ln(x-sqrt(x^(2)-1)); x ϵ [1, sqrt(2)]
Tuesday, March 3, 2015 by kales

calculus
Find Indefinite Integral of dx/(x(x^4+1)). I think that Im complicating it too much. I moved the dx out making it 1/(x(x^4+1))dx than 1/(x^5+x)dx. I think i have to use formula indef integral of dx/(x^2+a^2) = 1/a(tan^-1(x/a)) but im stuck i dont know what to do next. I would ...
Tuesday, March 3, 2015 by anna

calculus
If u=(0,2,3) and v=(1,3,-1) find the projection of u onto v a) 1/3 u b) 3/11 v-> -> c) (1,1,-1) d) (1/3, 1, -1/3)
Tuesday, March 3, 2015 by muntrey

Calculus, HELP!!!!!!!!!
A cable runs along the wall from C to P at a cost of $6 per meter, and straight from P to M at a cost of $10 per meter. Let x be the distance from C to P. If M is 8 meters from the nearest point A on the wall where P lies, and A is 18 meters from point C, find x such that the ...
Tuesday, March 3, 2015 by Francois

Calculus I
A spherical balloon is inflated at a rate of 10 cm^3/min. How fast does the radius change when the radius is 20 cm? Need help with set up and work through of problem.
Monday, March 2, 2015 by Mike

Calculus I
Sand falls from a hopper into a conical pile with radius equal to half its height. The sand is poured at a rate of 3 m^3 each minute. How fast is the radius increasing after 10 minutes? Need help with the set up and work through of the problem.
Monday, March 2, 2015 by Mike

Calculus Physics
Imagine a spaceship on its way to the moon from the earth. Find the point, as measured from the center of the earth, where the force of gravity due to the earth is balanced exactly by the gravity of the moon. This point lies on a line between the centers of the earth and the ...
Monday, March 2, 2015 by danny

Calculus Physics
A glass of orange juice is on the floor of a subway car traveling along a straight path at constant velocity. Everything's fine. The coefficient of static friction between the glass and the floor is 0.32. The subway suddenly accelerates forward. What is the maximum ...
Monday, March 2, 2015 by danny

Calculus 2
Can someone please show and explain step by step how to evaluate this integral? Problem #1)∫ 1/(x^3+x^2+x+1) dx This is what I got so far. I am not sure what to do thereafter after doing partial fraction decomposition (in which I got A = 1/2, B = 1/2, and C = 1/2) 1/(x^2...
Monday, March 2, 2015 by Miki

calculus
Plot three points with first coordinate equal to (-2.8) and join them
Sunday, March 1, 2015 by hadasha

Calculus
(1/sqrt(1-(3x/4)^2) * 3/4
Sunday, March 1, 2015 by Sandra

Math Calculus (ALEVEL)
Find the equation of the tangents to the curve x^2+3x-2y^2=4 at the points where the curve crosses the x- axis
Sunday, March 1, 2015 by Anonymous

Calculus
Find the area of the bounded region by the graph of x=2y-3 and x=y^2-2y in two ways (i) using x axis as refrence y axis (ii) using y axis as refrence x axis
Sunday, March 1, 2015 by Akki

Calculus
Find out the partial derivative w.r.t 'x' and 'y' of f (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x ln y so can you find out what will be the partial derivatives w.r.t 'y'
Sunday, March 1, 2015 by Akki

Calculus (Partial Derivatives)
A car dealer determines that if gasoline-electric hybrid automobiles are sold for x dollars apiece and the price of gasoline is y cents per gallon, then approximately H hybrid cars will be sold each year, where H(x,y)=6000−13x^(1/2)+2(0.1y+20)^(​3/2). She ...
Saturday, February 28, 2015 by Bill

Calculus (Partial Derivatives)
Using x hours of skilled labor and y hours of unskilled labor, a manufacturer can produce Q(x,y)=40xy1/5 units each week. Currently 20 hours of skilled labor and 243 hours of unskilled labor are being used. Suppose the manufacturer reduces the skilled labor level by 2 hours ...
Saturday, February 28, 2015 by Bill

calculus 2 extremely difficult
The function is r(t)= 400texp(-0.2t^2) and it shows the rate at which people show up in a line outside a theatre to buy tickets. t is the number of hours after 8:00am Assume there is no people at 8:00am and the patrons are served at a constant rate of 200 people after the ...
Saturday, February 28, 2015 by Integration

calculus
Find the area between the curves y=x^2 & x=2?
Saturday, February 28, 2015 by Akki

calculus
Find the area of the region bounded by the curves y=x^2 & y=2x???
Saturday, February 28, 2015 by Akki

calculus
Find relative Minimum and Maximum f'(x) = (9-4x^2)/ (x+1)^1/3
Saturday, February 28, 2015 by Akki

Pre-calculus (Trigonometry)
The rotating spotlight from the Coast Guard ship can illuminate up to a distance of 250 m. An observer on the shore is 500 m from the ship. HIs line of sight to the ship makes an angle of 20 degrees with the shoreline. What length of shoreline is illuminated by the spotlight...
Friday, February 27, 2015 by Lucina

calculus
limx¨0 sin ^3 (3x)/ x sin(x ^2)
Friday, February 27, 2015 by Tuhafeni

Calculus
Find an equation of the normal line to the parabola y=x^2−8x+1 that is parallel to the line x−6y =7.
Thursday, February 26, 2015 by TayB

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