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October 25, 2014

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

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Calculus
lim([-1/(x+2)]+1/2)/x as x->0
Thursday, February 20, 2014 at 6:11pm

calculus
#3 A solid has a base in the form of the ellipse: x^2/25 + y^2/16 = 1. Find the volume if every cross section perpendicular to the x-axis is an isosceles triangle whose altitude is 6 inches. #4 Use the same base and cross sections as #3, but change the axis to the y-axis.
Thursday, February 20, 2014 at 3:19pm

Math (pre calculus)
ax+b/cx+d=2 solve for x
Thursday, February 20, 2014 at 12:58pm

calculus
ax+b/cx+d=2 solve for x
Thursday, February 20, 2014 at 12:32pm

Calculus
x dy/dx +2y=1
Thursday, February 20, 2014 at 10:10am

calculus
Surface area of revolution y=(x^3)+3 about the x-axis from (0,1)
Wednesday, February 19, 2014 at 8:14pm

Calculus Help
The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.)
Wednesday, February 19, 2014 at 4:48pm

Finite Math and Applied Calculus
Betty Sue sets up a retirement account. For the first 35 years, she deposits $500 at the end of each month into an account with an annual interest rate of 3.6%, compounded monthly. Then, she stops making monthly payments and transfers the money into a di fferent account ...
Wednesday, February 19, 2014 at 3:02pm

Calculus
Integral of dx/{(x+1)sqrt(x^2+4x+2)} is given as -arcsinh{(x+2)/(xsqrt3)}, but I am not getting it.? The hint given is 'Put 1/(x+1)=t' Using it, the expression reduces to Int. -1/sqrt(1+2t-t^2). How to proceed further to get the desired result?
Wednesday, February 19, 2014 at 2:30am

Calculus
A holding pen for fish is to be made in the form of a rectangular solid with a square base and open top. The base will be slate that costs $4 per square foot and the sides will be glass that costs $5 per square foot. If the volume of the tank must be 50 cubic feet, what ...
Monday, February 17, 2014 at 10:47pm

Calculus
The half-life of radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 11 percent of the ...
Monday, February 17, 2014 at 9:35pm

Calculus II - Trapezoidal Rule
Find the error resulting from approximation by Trapezoidal Rule: integral (from 0 to 1) sqrt(1+ x^3) dx .... compute the results for n=8
Monday, February 17, 2014 at 5:01pm

Calculus
I need help finding the derivative of √3x/(x^2-4) at x=3
Monday, February 17, 2014 at 4:59pm

Calculus II - Simpson's Rule
Find the Error resulted from approximation by Simpson's Rule: integral (from 0 to 1) sqrt( 1+x^3) dx ... compute the result for n=8
Monday, February 17, 2014 at 4:59pm

Calculus II
show that; given any three non-collinear points (x1,y1), (x2,y2), (x3,y3) there is a parabola p(x)=Ax^2+ Bx + c , containing the three points.
Monday, February 17, 2014 at 2:14pm

Calculus, Surface Area Pt.2
The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
Monday, February 17, 2014 at 11:13am

Calculus, Surface Area Pt.2
The base costs 0.9 cents/square cm, the front costs 0.8 cents/square cm and the sides and back cost 1.3 cents/square cm. The cost of the material to make the box is : Cost = ?
Monday, February 17, 2014 at 11:12am

Calculus, Surface Area
An open rectangular box (no top) has a square base with side 10 cm and height 16 cm. The surface area is:
Monday, February 17, 2014 at 11:09am

Calculus
integral(8&4) y dy/(y^2-2y-3)
Monday, February 17, 2014 at 7:57am

Calculus
What is the integral of [(2x-y)^2]dx?
Sunday, February 16, 2014 at 10:43pm

Calculus
What is the integral of [(2x-y)^3]dx?
Sunday, February 16, 2014 at 10:28pm

Calculus
Sorry for all of the questions.. if f'(x) exists for all x and f(-1)=-12 and f(5)=12, then for at least one value of c where -1<c<5, what must be true? a) f'(c)=4 b) f'(c)=-4 c)f(c)=14 d)f(c)=-14 e) f'(c^2)=64
Sunday, February 16, 2014 at 11:53am

Calculus
A car traveling at 72 mph starts braking and decelerates at a constant rate. the car takes 1/9 of a mile to stop. Find, to the nearest half-second, how long it took the car to cover the 1/9 of a mile. I don't need the whole thing done. Just don't know how to start!
Sunday, February 16, 2014 at 11:37am

Calculus
The figure at the right consists of a rectangle topped by an isosceles right triangle. The area of the figure is 200 sq. feet. The minimum perimeter of the figure is ___ft.
Sunday, February 16, 2014 at 11:24am

pre calculus
Slove: 2logbase5(x+2) = 2 + log base5(x-2)
Saturday, February 15, 2014 at 8:53pm

Calculus
Line l is tangent to the graph of y= x - x²/500 at point Q & it crosses the y-axis at (0, 20) a). Find the x-coordinate of point Q b. Write an equation for line l c) Suppose the graph of y=x-x^2/500, where x and y are measured in feet, represents a hill. There is a 50-...
Saturday, February 15, 2014 at 6:25pm

Calculus 3
If the curve of intersection of the parabolic cylinder y = x^2 and the top half of the ellipsoid x^2 + 5y^2 + 5z^2 = 25. Then find parametric equations for this curve.
Saturday, February 15, 2014 at 1:05am

Calculus
How to find x-intercepts from x(x-2)(x+2)?
Friday, February 14, 2014 at 1:48pm

Calculus
Let h(x) = 5g(x) - 3x^2 + 2 sin(x) - 7x, and suppose g'(0) = 2, find h'(0)
Thursday, February 13, 2014 at 11:47pm

Calculus
The position of a function of a moving particle is s(t)=5+4t-t^2 for 0<t<10 where s is in meters and t is measured in seconds. What is the maximum speed in m/sec of the particle on the interval [0,10]?
Thursday, February 13, 2014 at 3:03pm

Calculus
Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse of f(x), and g(2)=1, what is the value of g'(2)?
Thursday, February 13, 2014 at 3:00pm

Calculus-Help Please
Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity). f(x)= lf(x)l =
Wednesday, February 12, 2014 at 2:14pm

Calculus I
If x^2+y^2=25, find dy/dt when x=3 and dx/dt= -8.
Wednesday, February 12, 2014 at 9:57am

Calculus I
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 8 cm/s, find the rate of change of the radius when the radius is 3 cm.
Tuesday, February 11, 2014 at 1:38pm

Calculus (Math)
Integral of (cot4x)^5 (csc4x)^7
Tuesday, February 11, 2014 at 12:18am

calculus
3. Plot f(x) =ln(x) and f’(x) = 1/x in your calculator. Remembering that the derivative of f(x) is the instantaneous rate of change of f(x) why does it make sense that 1/x is the derivative of ln(x)?
Monday, February 10, 2014 at 6:36am

pre calculus
The age of a document is in dispute, so archaeologists test for carbon-14. Due to radioactive decay, the amount A of carbon -14 present compared to the initial amount A0 after t years is given by the formula A(t) = A0e^-0.000124t . If 72% of the original amount of carbon- 14 ...
Saturday, February 8, 2014 at 11:06pm

pre calculus
A sum of $5000 is be invested in a bank. if the annual interest is 10% and compounded monthly, how long will it take for the original investment to double.
Saturday, February 8, 2014 at 10:57pm

pre calculus
Which is worth more after 5 years, an investment of $1000 at 5% interest compounded semi - annually(twice a year). or an investment of $1000 at 5% interest compounded continuously?
Saturday, February 8, 2014 at 10:03pm

Calculus Help
If a ball is thrown vertically upward from the roof of 64 foot building with a velocity of 32 ft/sec, its height after t seconds is s(t)=64+32t–16t2. What is the maximum height the ball reaches "in ft"? What is the velocity of the ball when it hits the ground (...
Saturday, February 8, 2014 at 1:01am

Calculus 3
Find the center of the ellipsoid x^2+4y+2z^2+2x-4y+z = 20 I'm having trouble factoring to get the center points. Can someone please help. This is where I'm stuck. (x^2+2x+1)+4(y^2-y+1/4)+2(x^2+1/2z+1/16)​=20+1+1+1/8 (x+1)^2+ Now I don't know how to get the y ...
Friday, February 7, 2014 at 3:45pm

grade 12 calculus and vectors
Determine the average rate of change form x = 1 to x = 4 for each function. a) y= x b) y=x^2 c) y=x^3 d) y=7
Thursday, February 6, 2014 at 5:07pm

calculus
Evaluate the limit as x approaches 0 of [tan(x+Δx)-tan(x)] /Δx: sec^ 2 (x) cot (x) sec (x) does not exist
Thursday, February 6, 2014 at 1:18pm

calculus
Suppose f (1) = 2, f ΄(1) = 3, g(1) = 5, and g΄(1) = -4. Evaluate (f g)΄v at x = 1. Answer -12 7 10 23
Thursday, February 6, 2014 at 1:14pm

calculus
If limit as delta x approaches 0 of tan(0+Δx)-tan(0)/Δx =1 which of the following is false: d/dx [tanx]=1 the slope of y = tan(x) at x = 0 is 1 y = tan(x) is continuous at x = 0 y = tan(x) is differentiable at x = 0
Thursday, February 6, 2014 at 12:56pm

calculus
Suppose h(x) = f (g(x)) and the graphs of f and g are shown below. Describe the continuity of h at x = 0. how would you do this if you were given two graphs: F--- discontinuity at -2,0; point at -1,1; and point at 0,0 (to make a parabola) then discontinuity at 0,-1; and then ...
Thursday, February 6, 2014 at 12:49pm

Math (pre calculus)
please simplify (1/1+x+h) - (1 /1+x ) divided by h
Thursday, February 6, 2014 at 1:49am

pre calculus
Simplify the rational expression 3 (1 + x)^1/3 - x (1 + x)^-2/3 divided by (1 + x)^2/3
Thursday, February 6, 2014 at 1:44am

Math (pre calculus)
State whether the given equation is true for all values of the variables (disregard any value that makes a denominator zero) equation one (2/ 4 + x) = (1/2) + (2/x) equation two (1 + x + x^2 / x) = (1/x) + 1 + x
Thursday, February 6, 2014 at 1:41am

Calculus
A trough is 15 ft long and 4 ft across the top, as shown in the figure. Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft^3/min. How fast is the water level rising when it is 2 ft deep?
Thursday, February 6, 2014 at 1:02am

Pre-Calculus
A certain sum of money is invested in a business. in each year this investment earns 1 1/2 times as much as in the preceding year. If the investment earned a total of $29,250.00 in four years, how much did it earn in the fourth year?
Wednesday, February 5, 2014 at 7:22pm

calculus
Which of the following best describes the limit as x approaches 4 of the quotient of 2 times x divided by the quantity negative 2 plus square root of x ? It exists and equals 4 It fails to exist because it is unbounded. It fails to exist because its one-sided limits are not ...
Wednesday, February 5, 2014 at 6:58pm

calculus
It is known that x 2 + 4x ≤ f(x) ≤ -x 2 -4x the interval [-4, 0]. Use the Squeeze Theorem to evaluate the limit as x approaches negative 2 of f of x. -4 0 4 Squeeze Theorem does not apply
Wednesday, February 5, 2014 at 6:58pm

calculus
Suppose f of x equals 3 times x minus k when x is less than 5 and equals 1 plus k times x when x is greater than or equal to 5.Find the value of k that would make f continuous at x = 5. -3 0 7/3 no such k will make f continuous
Wednesday, February 5, 2014 at 6:57pm

calculus
At a constant temperature, the pressure, P, and volume, V, of a trapped gas have the relationship P equals the quotient of k divided by V , where k is some positive constant. What occurs if the volume is compressed such that V → 0+? The pressure increases without bound. ...
Wednesday, February 5, 2014 at 6:56pm

Calculus 2
Find Mx, My, and (x, y) for the laminas of uniform density ρ bounded by the graphs of the equations. y=sqrt(x)+4 y=(1/2)x+4 The I keep getting 20/3 for Mx but webassign acts like it is wrong.
Wednesday, February 5, 2014 at 1:51pm

calculus
At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
Wednesday, February 5, 2014 at 10:38am

calculus
At midnight, ship B was 90 km due south of ship A. Ship A sailed east at 15 km/hr and ship B sailed north at 20 km/hr. At what time were they closest together?
Wednesday, February 5, 2014 at 10:35am

Calculus
I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I don't know how to get there.
Wednesday, February 5, 2014 at 12:05am

CALCULUS 2
Use calculus to find the volume of the following solid S: The base of S is an elliptical region with boundary curve 9x^2+4y^2=36. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.
Tuesday, February 4, 2014 at 10:47pm

Calculus
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2 Find the distance traveled by the kite.
Tuesday, February 4, 2014 at 10:27pm

Calculus
A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 60 ft is given by the following. y= 155-(1/40)(x-50)^2
Tuesday, February 4, 2014 at 10:09pm

Calculus
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. y = tan x, 0 < x < π/9
Tuesday, February 4, 2014 at 10:08pm

calculus
Use the principles of translating and reflecting to graph the function f(x)=(x-5)^3 +2
Tuesday, February 4, 2014 at 1:27am

pre calculus
determine the order of magnitude for the following: 1. a $1 bill and a dime 2. two products scored a PH level of 6.1 and 4.o I can't figure out #1… but I did get #2 to be 10^2.1 Please help with #1 and check to see I did #2 right?
Monday, February 3, 2014 at 4:25pm

calculus
y= -5x + 4 OVER 10 - 5x find the asymptotes of the function
Monday, February 3, 2014 at 1:37am

Calculus II
Solve the initial value problem using Taylor Series and the following conditions: y'(t) = y(t) + 2t y(0) = A
Sunday, February 2, 2014 at 11:01pm

CALCULUS PLEASE HELP!!!
SHOW WORK PLEASE!!! The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 2 sin πt + 3 cos πt, where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the ...
Sunday, February 2, 2014 at 8:12pm

calculus
In a lab experiment 8 grams of acid were produced in 28 minutes and 17 grams in 47 minutes. Let g be the number of grams and m be the number of minutes. Find a linear equation that you could use to calculate g for any number of minutes.
Sunday, February 2, 2014 at 3:28am

Calculus & Vectors
A search and rescue aircraft, travelling at a speed of 240 km/h starts out at a heading of N 20 degrees West. After travelling for 1h and 15 min, it turns to a heading of N 80 degrees E and continues for another two hours before returning to base. Find the total distance the ...
Saturday, February 1, 2014 at 6:10pm

calculus
The rabbit population on a small island is observed to be given by the function P(t)=120t−0.4t4+700 where t is the time (in months) since observations of the island began.
Saturday, February 1, 2014 at 5:28pm

CALCULUS
Find a formula for the inverse of the function. y=x^2-x, x>=(greater than or equal to) 1/2 Please give me a step by step explanation. I think my algebra is wrong... Ty
Saturday, February 1, 2014 at 9:16am

calculus
Four out of five days were used to create a problem, how many days will it take to solve it?
Saturday, February 1, 2014 at 8:21am

calculus
Four out of five days were used to create a problem, how many day will it take to solve it?
Saturday, February 1, 2014 at 8:21am

integral calculus
Evaluate the limit limit gose from x to 4 (x/x-4)integral from x to 4
Friday, January 31, 2014 at 10:04pm

Calculus
Let f be the function given by f(x)= 2x/(sqrt(x^2 +x +1)) c. Write an equation for each horizontal asymptote of the graph of f. d. Find the range of f. Use f'(x) to justify your answer.
Friday, January 31, 2014 at 5:26pm

Calculus
Find the distance between the given parallel planes. 4z = 4y − 4x, 6z = 3 − 6x + 6y
Friday, January 31, 2014 at 3:15pm

Calculus
Find the distance between the given parallel planes. 5x−4y+z=10, 10x−8y+2z=3
Friday, January 31, 2014 at 3:14pm

Calculus
Find the distance from the point to the given plane. (−3,8,7), x−2y−4z=8
Friday, January 31, 2014 at 3:13pm

Calculus
Find the distance from the point to the given plane. (1,−5,9), 3x+2y+6z=5
Friday, January 31, 2014 at 3:12pm

Calculus
Find parametric equations for the line through the point (0,2,2)that is parallel to the plane x+y+z = 2 and perpendicular to the line x=1+t, y=2−t, z=2t. (Use the parameter t.) (x(t), y(t), z(t)) =
Friday, January 31, 2014 at 3:11pm

Calculus
Where does the line through (1,0,1) and (3,−2,5)intersect the plane x+y+z=10? (x, y, z) =________?
Friday, January 31, 2014 at 3:09pm

Calculus
Find the point at which the line intersects the given plane. x = 1 + 4t, y = 4t, z = 2−3t ; x + 2y − z + 1 = 0 (x, y, z) = _____________?
Friday, January 31, 2014 at 3:07pm

Calculus
Find the point at which the line intersects the given plane. x = 4 − t, y = 5 + t, z = 2t; x − y + 3z = 3 (x, y, z) =____________?
Friday, January 31, 2014 at 3:05pm

Calculus
Find an equation of the plane. The plane that passes through the point (−1, 2, 1)and contains the line of intersection of the planes x + y − z = 4 and 4x − y + 5z = 4
Friday, January 31, 2014 at 3:04pm

Calculus
Find an equation of the plane. The plane that passes through (8, 0, −2)and contains the line x = 6 − 2t, y = 3 + 5t, z = 3 + 2t
Friday, January 31, 2014 at 2:57pm

CALCULUS
Starting with the graph of f(x)=5x, write the equation of the graph that results from reflecting f(x) about the line y =4. y=_______? Thank you!
Friday, January 31, 2014 at 12:27am

Calculus
Let g and h be any two twice-differentiable functions that are defined for all real numbers and that satisfy the following properties for all x: I) (g(x))^2 + (h(x))^2=1 ii) g'(x)= (h(x))^2 iii) h(x)>0 iv) g(0)=0 a)Justify that h'(x)=-g(x)h(x) for all x b) Justify ...
Thursday, January 30, 2014 at 2:44pm

Calculus II
Find an equation of the set of all points equidistant from the points A(−2, 6, 3) and B(5, 3, −3)
Thursday, January 30, 2014 at 11:33am

Physics
Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
Wednesday, January 29, 2014 at 11:24pm

Pre-Calculus
Find dy/dx if y= x^6[(x^2-9)^8]? So the answer is supposed to be 2x^5[(x^2-9)^7](11x^2-27), but I don't understand how to get it. Do you use product rule, chain rule or both? thanks
Wednesday, January 29, 2014 at 9:44pm

Calculus
A superball is tossed vertically 40 feet and rebounds on each bounce 3/5 of the height from which it fell. How far will it travel before coming to rest?
Wednesday, January 29, 2014 at 8:14pm

Calculus
A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the particle at t=6. c...
Wednesday, January 29, 2014 at 4:38pm

Calculus
write in parametric form the equation of the line that joins (1,-2) and (3,0)
Wednesday, January 29, 2014 at 4:14pm

Physics
Problem 1 (80 points) Consider a spring of equilibrium length L, lying horizontally in a frictionless trough. The spring has cross sectional area S perpendicular to its length. The trough constrains the motion of the spring so that any wave propagating along the spring is a ...
Wednesday, January 29, 2014 at 3:50pm

Calculus
Consider the solid obtained by rotating the region bounded by the following curves about the line x=1. y=x,y=0,x=4,x=6 Find the volume So it would be pi (integral from 3 to 6) of ((1-y)^2 -(1-0)^2) right? so then you integrate it and get pi(Y^3/3-y^2) from 3 to 6. ?
Wednesday, January 29, 2014 at 3:15pm

calculus
i am on "rolles and the mean value theorem" and was just wondering, when i am doing rolles, do i really need to find the exact value of x where f'(c) = 0? for example: f(x) = (x+4)^2 (x-3) on [-4,3] i get to: 3x^2+10x-8=7 then i dont know if i then need to find ...
Tuesday, January 28, 2014 at 11:51pm

Calculus
Find the critical numbers of the function. h(t) = t3/4 − 5t1/4
Tuesday, January 28, 2014 at 10:25pm

Calculus
A poster is to have an area of 160 in2 with 1 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Tuesday, January 28, 2014 at 10:25pm

Calculus
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = (x2 - 1)3 [-1, 6]
Tuesday, January 28, 2014 at 10:24pm

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