Sunday

February 7, 2016
**Calculus **

If Y = SecXTanX, find y" 4y' 4y. I can easily do the second part of the question if I could if only I could find d first and second derivative of SecXTanX, pls do help.
*Monday, February 9, 2015 by Francis *

**Math- Calculus**

I need help with these problems, I cannot find a similar example to help me in the book: 1. Find lim x->infinity (e^(-2x) + sin x). 2. Find the derivative of sqrt(9-x) using the limit process. 3. Find lim x-> -infinity (x + sqrt(x^2 + 2x)). 4. Show that the equation e^x...
*Monday, February 9, 2015 by Amber*

**Calculus**

Can someone show me a step by step process, along with explanations on how to do this problem? Thank you. :) Evaluate the integral ∫ [(x^2 - 1)/(x^2 + 1)]dx?
*Monday, February 9, 2015 by Aria*

**Calculus**

I am in a car and travel for 12 minutes. Below are the speeds in mph, recorded every two minutes. Use trapezoids, right-bound rectangles, and midpoint rectangles to estimate the distance I traveled. Min 0 2 4 6 8 10 12 Speed 20 22 35 46 50 50 20 Trapezoids: Right-bound ...
*Sunday, February 8, 2015 by Anonymous*

**Calculus**

By applying Rolle's theorem, check whether it is possible that the function f(x)=x^5+x−5 has two real roots. Answer: (input possible or impossible ) Your reason is that if f(x) has two real roots then by Rolle's theorem: f′(x) must be (input a number here) ...
*Sunday, February 8, 2015 by Sarah*

**Calculus**

At 2:00pm a car's speedometer reads 60mph, and at 2:10pm it reads 65mph. Use the Mean Value Theorem to find an acceleration the car must achieve. Answer( in mi/h2):
*Sunday, February 8, 2015 by Dee*

**Calculus**

Graph the function f(x)=x+4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] c= Notice that if you graph the tangent line to the point (c,f(...
*Sunday, February 8, 2015 by Bob*

**Calculus**

Consider a regular tetrahedron whose face is an equilateral triangle of side 7. Find the area of the horizontal cross section A at the level z=3. A= ? Find the volume of the tetrahedron. Consider a regular tetrahedron whose face is an equilateral triangle of side 7. Find the ...
*Saturday, February 7, 2015 by Mwe*

**Calculus**

Find the volume of the solid whose base is the circle x^2+y^2=25 and the cross sections perpendicular to the x-axis are triangles whose height and base are equal. Find the area of the vertical cross section A at the level x=1.
*Saturday, February 7, 2015 by Mwe*

**pre cal**

The given equation is a partial answer to a calculus problem. Solve the equation for the symbol y'. 6y2y' − y − xy' = x y' =
*Friday, February 6, 2015 by mj jad*

**Calculus**

The volume of a solid
*Friday, February 6, 2015 by Francis*

**calculus**

Simplify the following power functions to the form y=kxp, where k and p are some numbers. (a) y=(18)/x√ is y=kxp. What are k and p?
*Thursday, February 5, 2015 by Lindsay*

**Calculus**

Find the anti-derivative of the integral [3sqrt(x)(2x^2-4)]dx
*Thursday, February 5, 2015 by Anonymous*

**Calculus**

Find the anti-derivative of the integral (7tan^2x+12)dx
*Thursday, February 5, 2015 by Anonymous*

**Calculus**

a) Find d/dm (x^4m^5 + y^3m +z^6) b) Find the first and second derivatives of: v = 3t^2 + 8t + 11 v' = v'' =
*Thursday, February 5, 2015 by Arin*

**Calculus**

Find the anti-derivative of the integral [(7t^2+6t-15)/t^4]dt
*Thursday, February 5, 2015 by Anonymous*

**Calculus**

Solve the differential equation f"(x)=x^2, f'(0)=3, f(0)=-1
*Thursday, February 5, 2015 by Anonymous*

**Calculus**

I am in a car and travel for 12 minutes. Below are the speeds in mph, recorded every two minutes. Use trapezoids, right-bound rectangles, and midpoint rectangles to estimate the distance I traveled. Min 0 2 4 6 8 10 12 Speed 20 22 35 46 50 50 20 Trapezoids: Right-bound ...
*Thursday, February 5, 2015 by Anonymous*

**Calculus**

Linda has $9000 to invest. She invested x dollars in an account that earned 3% simple interest and the remainder of the money in an account that earned 2.6% simple interest. In one year, both accounts together earned $250 interest. How much was invested in each account?
*Thursday, February 5, 2015 by Q*

**Calculus**

Integral sqrt(x-1/x^5)
*Thursday, February 5, 2015 by Akki*

**Survey of Calculus**

A total revenue function is given by R(x) = 1000(x^2 - 0.1x)^1/2 , where R(x) is the total revenue, in thousands of dollars, from the sale of x items. Find the rate at which total revenue is changing when 20 items have been sold. So far my answer is R'(x) = 1000 Coming ...
*Wednesday, February 4, 2015 by Shanxxix*

**Calculus 2**

integral of e^x(sqrt(1+e^(2x)))dx
*Wednesday, February 4, 2015 by Matt*

**Calculus 2**

use the method of equating coefficients. integral of (x^3+5x^2+12)/((x^2)(x^2+4)) dx
*Wednesday, February 4, 2015 by Matt*

**calculus**

At noon, Ship A is 100 km west of ship B. Ship A travels south at 35 km/h. Ship B travels North at 25 km/h. At 4 pm, how fast the distance between them change?
*Wednesday, February 4, 2015 by gerald*

**Calculus II**

Find the indefinite integral. ∫xe^-4xdx
*Wednesday, February 4, 2015 by Kris*

**calculus**

Hello! Just needed help with understanding this specific question. We never really wet over Euler's method so I'm not sure how to go about it. "Use Euler's method in order to solve the initial value problem below. dy/dx = x-3 and y=4 when x=1 Use Euler's ...
*Tuesday, February 3, 2015 by megan*

**calculus**

Find the value of the limit. lim ã(x+4) - 2 divided by x x->0 The 2 is outside of the square root. The answer is supposed to be 1/4 but I keep getting 0/0 no matter how many times I redo the algebra.
*Tuesday, February 3, 2015 by paula*

**Pre-calculus**

The area of a triangle wall on a barn is 160 square feet. Its length is 4 feet longer than twice the width. Find the length and width of the wall of the barn
*Tuesday, February 3, 2015 by Tamika*

**Pre-Calculus**

If h(x)=x^3, what is the difference between h(x) reflected about the x-axis and h(x) reflected about the y-axis?
*Tuesday, February 3, 2015 by Adrian*

**Pre-Calculus**

find the inverse of g(x)=(x+7)^3+4
*Tuesday, February 3, 2015 by Drue*

**Pre-Calculus**

Reflect f(x)=x^2 about the y-axis. What changes?
*Tuesday, February 3, 2015 by Christian*

**Pre-Calculus**

find all the maximums of the polynomial f(x)=x^2-8x+11 What is the global (absolute) maximum?
*Tuesday, February 3, 2015 by Andrea*

**Pre-Calculus**

Describe the function resulting from reflecting f(x)=x^3+2x^2-x+5 about the x-axis and then the y-axis. Does the order of the reflections matter?
*Tuesday, February 3, 2015 by Andrea*

**Pre-Calculus**

Describe the function resulting from reflecting f(x)=x^3+2x^2-x+5 about the y-axis and then shifting to the left by 4. Is this the same as performing the operations in the reverse order
*Tuesday, February 3, 2015 by Jose*

**Calculus - Differentiation**

Differentiate: y = 3/(1-6x^4)
*Monday, February 2, 2015 by Zac*

**calculus**

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π].
*Monday, February 2, 2015 by Anonymous*

**calculus**

A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
*Monday, February 2, 2015 by Anonymous*

**Calculus**

Compute the area of a leaf given by the equation y^2 = (x^2−1)^2 for −1 ≤ x ≤ 1
*Monday, February 2, 2015 by Antonette*

**Math- Vector Calculus**

A manufacturer sells two products, one at a price of $3000 a unit and the other at a price of $12000 a unit. A quantity q1 of the first product and q2 of the second product are sold at a total cost of $5000 to the manufacturer. Express the manufacturer's profit, as a ...
*Saturday, January 31, 2015 by Javier*

**Calculus**

Compute the maximum and minimum amount of a drug remaining in a patient in the limit (that is, as time tends to infinity) given that the patient takes an 80 milligram dose once a day at the same time each day and the drug has a half life of 22 hours.
*Saturday, January 31, 2015 by Jona*

**Pre Calculus **

Can someone help me with this problem? Determine the number of positive integers less than 10,000 that can be formed from the digits 1, 2, 3, and 4 if repetitions are allowed. Thank you!
*Saturday, January 31, 2015 by Anonymous*

**Calculus**

Differentiate: y = (x^2 + 8x +3)^3
*Saturday, January 31, 2015 by Wes*

**Calculus**

Write 2.445353535353... as a fraction I'm learning integrals right now and this is part of the exercises under it. Is there a trick to this? Using integrals? Thank you very much!
*Saturday, January 31, 2015 by Alex*

**Calculus**

Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II? So, surely there should be a ln in the solution as well? I would like a step by step process ...
*Saturday, January 31, 2015 by Aria*

**Calculus**

Determine the interval(s) at which f(x) is concave up given that f′′(x)=−x2+x+6. a) (–2, 3) b) (–∞, –2), (3, ∞) c) (–∞, –3), (2, ∞) d) (–2, ∞) e) (–∞, 3)
*Friday, January 30, 2015 by joshua*

**Calculus **

Determine the interval(s) at which f(x) is concave up given that f′′(x)=−x2+x+6. Critical points are: -2 & 3
*Friday, January 30, 2015 by joshua*

**pre calculus **

12. Use the remainder theorem to find P (-2) for P(x) =x^3+2x^2-x-7. Specifically, give the quotient and the remainder for the associated division and the value of P (-2). Quotient =? Remainder =? P (-2) =?
*Friday, January 30, 2015 by gary *

**Calculus**

The volume, V cm3 , of a cone height h is pi x h^3 / 12 If h increases at a constant rate of 0.2 cm/sec and the initial height is 2 cm, express V in terms of t and find the rate of change of V at time t.
*Friday, January 30, 2015 by Akki*

**calculus**

(cx)={X if 0 is less than or equal x less than or equal 10 and 0.9x if 10<x
*Thursday, January 29, 2015 by john*

**calculus**

A trough is 9 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x4 from x=−1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water...
*Thursday, January 29, 2015 by Catherine*

**Calculus**

A hot air ballon lifts off the earth 300m away from an observer and rises straight up at a rate of 80m/min. At what rate is the angle of inclination of the observers line of sight increasing at the time the balloon is 300, above the ground?
*Thursday, January 29, 2015 by Chris*

**calculus **

lim x->0 (Sin^3 3x - 3x^3)/(x^3) (x^4)
*Thursday, January 29, 2015 by Francis *

**Calculus**

1) An equation of the line contains points (7/9, 7) and (-7/9) is 2) Find the slope of the line tangent to the curve y=x^2 at the point (-0.6, 0.36) and find the corresponding equation of the tangent line
*Wednesday, January 28, 2015 by Seth*

**Calculus **

Evaluate lim x->0 (Sin^3 3x - 3x^3/x^3 x^4) I got zero (0) to be my answer by imputing 0 in place of x but am not so sure if the answer should be 0, am thinking it should be like 1/0 or something like that.
*Wednesday, January 28, 2015 by Francis *

**Calculus **

Find ¡Ò[dx/(x-2)(x+3)(x-4)] this is really confusing and I need help with it.
*Wednesday, January 28, 2015 by Francis *

**Calculus **

differentiate tan-1(2x/1-x^2)
*Tuesday, January 27, 2015 by Francis *

**calculus**

Please i need help with this. Find the area bounded by the curves y0…5 - 4x = 0, 2x - y - 4 = 0
*Tuesday, January 27, 2015 by Jazmine*

**calculus 1**

A rock is dropped off the edge of the cliff and its distance S ( in feet ) from the top of the cliff after T seconds is S ( T ) = 16t^2. Assume the distance from the top ofthe cliff to the water below is 96ft Make a table of the average velocity and approximate the velocity at...
*Tuesday, January 27, 2015 by sky*

**calculus 1**

A rock is dropped off the edge of a cliff its distance S (in feet) from the top of the cliff after T seconds is S(T) = 16t^2. Assumme the distance from the top of the water below is 96ft. When will the rock strike the water? T=16t^2 -96 96=16t^2 80=t^2 4 and squareroot of 5= t...
*Tuesday, January 27, 2015 by sky*

**Calculus II (Math)**

integral of 5e^(-0.7x)
*Tuesday, January 27, 2015 by JAY Z*

**Calculus**

The cost of producing x units of a certain commodity is C(x)=1000+5.70x+0.7x^2 . What is the average rate of change of C with respect to x when the production level is raised from x = 100 to x = 120 and when the production level is raised from x = 100 to x = 101? I'm ...
*Tuesday, January 27, 2015 by Pax*

**calculus**

Find a formula for a function that has vertical asymptotes at x=7 and x=9 and a horizontal asymptote at y=7
*Sunday, January 25, 2015 by Raylyn*

**Calculus**

1.) Find the equation of the line that is tangent to the graph of y-y^3 at x=1. 2.) lim x->0 ((sin x*cos 2x)/3x) 3.) Show, using the squeeze theorem, that the limit of Xe^(sin 1/x) as x->0 is 0.
*Sunday, January 25, 2015 by Amber*

**Calculus **

This is the question: A man is running through the woods to a check point as fast as possible. He can get there by traveling east along the trail for 300 meters, and then north through the woods for 800 meters. He can run 160 meters per minute along the trail, but only 70 ...
*Sunday, January 25, 2015 by Julianne*

**Pre Calculus**

Approximate, to the nearest 0.01 radian, all angles theta in the interval [0,2pi) that satisfy the equation. a.) sin theta=-0.0135 b.) cot theta=-2.731 Thank you for helping! I appreciate it!
*Saturday, January 24, 2015 by Anonymous*

**pre-calculus**

The terminal ray of an angle passes through the point (5,12). What is the value of cosine for this angle?
*Saturday, January 24, 2015 by Anonymous*

**@Steve RE: Relative Extrema: AP Calculus **

Thanks so much for all your help! That was way simpler than I thought, I think I was just overthinking it. Do you think you could also help me find the concave up at x = −2, x = −1, and x = 2 and show f(x) is concave down at x = 0? (this is still for the function f...
*Friday, January 23, 2015 by Pax*

**Relative Extrema: AP Calculus**

Consider the function f(x)= (3/4)x^4-x^3-3x^2+6x Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values. Determine the interval(s) where f(x) is increasing (if any) and the interval(s) ...
*Thursday, January 22, 2015 by Pax*

**calculus**

The radius of circular disk is 18cm with a maximum error of 0.2cm. Estimate the maximum error in calculated area of the disk. b) The circumference of a sphere was measured to be 64cm with a maximum error of 0.5. Estimate the maximum error in the calculated surface area of the ...
*Thursday, January 22, 2015 by funmi*

**calculus **

The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop?
*Thursday, January 22, 2015 by Jeff*

**Calculus: Intergration**

Need help intergrating 1dx/[(4x − x^2)^3/2] and 1dx/[x^2√(x^2-9)] Thanks
*Tuesday, January 20, 2015 by Anonymous*

**calculus**

I needed help with this graphing calculator assignment; my sister took my calculator so I don't really have anything to work with, unfortunately. The graphing calculators online are really confusing and seem to require payment to work - so i'm pretty desperate. just ...
*Tuesday, January 20, 2015 by megan*

**calculus**

use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 by Roger*

**Calculus**

Use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 by Ben*

**calculus**

The Snowtree cricket behaves in a rather interesting way: The rate at which it chirps depends linearly on the temperature. One summer evening you hear a cricket chirping at a rate of 160 chirps/minute, and you notice that the temperature is 80°F. Later in the evening, the ...
*Monday, January 19, 2015 by Kita*

**calculus **

If 600 cm2 of material is available to make a box with a square base and a closed top, find the maximum volume of the box in cubic centimeters. Answer to the nearest cubic centimeter without commas. For example, if the answer is 2,000 write 2000.
*Monday, January 19, 2015 by jake*

**Calculus **

A student is drinking a milkshake with a straw from a cylindrical cup with a radius of 5cm. if the student is drinking at a rate of 3.5cm^3 per second, how fast is the level of a milkshake dropping?
*Monday, January 19, 2015 by Ben*

**Calculus**

a student is drinking a milkshake with a straw from a cylindrical cup with a radius of 5cm. if the student is drinking at a rate of 3.5cm^3 per second, how fast is the level of a milkshake dropping?
*Monday, January 19, 2015 by Anonymous*

**Calculus**

Suppose bacteria is growing on a pizza that has been taken out of the refrigerator at a rate that is proportional to the number of bacteria. Suppose there were 50 bacteria when the pizza was removed from the refrigerator and one hour later there were 200 bacteria. How many ...
*Monday, January 19, 2015 by Ben Klotz*

**Pre Calculus **

At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is a rectanglar prism whose height is 3 inches greater than the length of each side of the square base. A machine pours 20 cubic inches of liquid glass into each mold. What are the...
*Sunday, January 18, 2015 by Nadia*

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*Sunday, January 18, 2015 by Anonymous*

**calculus **

A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast, in ft/sec, is the bottom of the ladder sliding away from the wall, at the instant when the bottom of the ladder is 9 ft from the wall? Answer with 2...
*Saturday, January 17, 2015 by george *

**Calculus**

1. The radius of a sphere is expanding at a rate of 14 in/min. a) Determine the rate at which the volume is changing when the radius is 8 in. b) Determine the rate at which the surface area is changing when the radius is 8 in. 2. A particle moves along a path described by y=4-...
*Saturday, January 17, 2015 by Anonymous*

**calculus **

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 12 cm, the edge length of the base is decreasing at...
*Saturday, January 17, 2015 by george *

**Calculus**

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h cm3. Find the rate at which the volume of the box is changing when the edge length of the base is 10 cm, the edge length of the base is increasing at...
*Friday, January 16, 2015 by Kate*

**calculus **

If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem? (4 points) Three Two One None
*Friday, January 16, 2015 by george *

**calculus **

The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 2. (4 points)
*Friday, January 16, 2015 by george *

**calculus **

What is the instantaneous slope of y =8/x at x = -3? What is the average rate of change of y with respect to x over the interval [-3, 4] for the function y = 2x + 2? The surface area, S, of a sphere of radius r feet is S = S(r) = 4πr2. Find the instantaneous rate of ...
*Friday, January 16, 2015 by Jack P*

**calculus **

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that (4 points) If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the...
*Friday, January 16, 2015 by calc*

**calculus **

8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - 5ex. 10. Find f '(x) for f (x) = e(^lnx) + e^(x)ln(x) 11. Find the x-coordinate where the graph of the function f(x) = e^(-cosx) has a slope of 0. 12. If the slope of a...
*Thursday, January 15, 2015 by calc*

**calculus **

5. Find the equation of the tangent line to the graph of f(a) = -sec(a) at the point (0, -1) 6. Differentiate y = sin(x)tan(x). 7. Find f '(x) for f(x) = sin(x)cot(x). 8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for f(x) = xln(x) - ...
*Thursday, January 15, 2015 by gerald*

**calculus **

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -...
*Thursday, January 15, 2015 by gerald*

**calculus **

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -...
*Thursday, January 15, 2015 by mock*

**Calculus POwer RUle**

If the slope of the curve y=−kx^3+ 3k at x=-2 is 3, then what is the value of k?
*Wednesday, January 14, 2015 by Anonymous*

**calculus **

Find dy/dx for x2 + y2 = 2xy. 2. If 5x2 + y4 = -9 then evaluate d^2y/dx^2 when x = 2 and y = 1. Round your answer to two decimal places. Use the hyphen symbol, -, for negative values. 3. find dy/dx if f(x)=(x+1)^2x 4. Find the slope of the graph of the relation x2y + 4y = 8 at...
*Wednesday, January 14, 2015 by mock*

**calculus **

If f(x) = 7x^6cos^-1x, find f '(x).
*Wednesday, January 14, 2015 by mock*

**calculus **

1. If f(x) = ln(1 - 2x), then find f '(x) 2. If f(x) = 7x6cos-1x, find f '(x)
*Wednesday, January 14, 2015 by mock*

**calculus **

For f(x) = e2sin(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π].
*Wednesday, January 14, 2015 by mock*

**Calculus**

A balloon is rising at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a constant speed of 15 ft/sec. When he passes under the balloon, it is 5 feet above him. Determine how fast the distance between the boy and the balloon is increasing 3 seconds after...
*Wednesday, January 14, 2015 by Lily*

**calculus **

1. Find f '(x) for f(x) = cos (3x3) 2. Find f '(x) for f(x) = ln(x4 + e2x
*Wednesday, January 14, 2015 by mock*