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March 3, 2015

March 3, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**Calculus**

Integration with trig functions Integral of [(1-sinx)/cos^2x] dx
*Thursday, February 12, 2015 at 11:58pm*

**Calculus**

I am not too sure if I did this question correct. Thanks in advanced! Data table: Time after Consumption (min): 30 60 90 120 150 180 Amount of Codeine in Blood (mg): 27.0 23.5 21.2 18.7 16.6 14.5 1.) create a scatter plot of the data and determine a suitable equation to model ...
*Thursday, February 12, 2015 at 11:54pm*

**Calculus**

Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.
*Thursday, February 12, 2015 at 11:22pm*

**Calculus**

Suppose f"(x)=6x-2 A. If f'(1)=5, find f'(x). I got f'(x)=3x^2-2x+4 B. Fine the average rate of change of f on [-1,4]. C. Fine the value of x guaranteed by the mean value theorem for r on [-1,4]. D. If f(-1)=-2, find f(x) I am not sure how to do B, C, and D.
*Thursday, February 12, 2015 at 10:14pm*

**Calculus**

Integrate: Indefinite integral of [(sqrt(x))-1]^2 / [sqrt(x)] dx
*Thursday, February 12, 2015 at 9:54pm*

**Pre-calculus**

Hello, Consider a geometric sequence with t3= 18 and t7= 1458. Are there one or two values for the common ratio? How does this affect the sequence (I got one, but the way this question mentions 2 ratios, I get the feeling there are 2 values.) My work: 1458 = 18r^4 81 = r^4 3 = r
*Thursday, February 12, 2015 at 9:29pm*

**calculus**

integral sqrt(1-x^2) . sin^-1 x dx
*Thursday, February 12, 2015 at 11:25am*

**calculus**

integral sec^-1 x dx
*Thursday, February 12, 2015 at 11:15am*

**Calculus**

What would an example of a logarithmic function that contains a radical within it and a quotient within it where you would need to use chain rule and quotient rule to take derivative look like? How would taking the derivative of the function in its original form look different...
*Thursday, February 12, 2015 at 12:14am*

**Calculus**

What would an example of a logarithmic function that contains two trig functions within it where you would need to use chain rule and product rule to take derivative look like? How would taking the derivative of the function in its original form look different when using log ...
*Thursday, February 12, 2015 at 12:13am*

**calculus**

A small airplane has an air speed of The pilot wishes to fly to a destination that is 480 km due west from the plane’s present location. There is a wind from the south.
*Tuesday, February 10, 2015 at 4:50pm*

**Pre-Calculus**

On a campus of 9000 students, a single student returned to campus with a case of measles on Monday January 5th. The infirmary is keeping track of the number of students who have been diagnosed with the disease Day # of students infected 1. 2 2. 5 3. 9 4. 28 5. 64 6. 81 7. 320...
*Tuesday, February 10, 2015 at 12:24am*

**Pre-Calculus**

The Gateway Arch in St. Louis, Missouri is not a parabola but a shape known as a catenary. The name is given to the shaoe formed by the Graph of the hyperbolic cosine (cosh). The arch has a height of 625 feet andna span of 600 feet. The hyperbolic cosine is defined as: Cosh x...
*Tuesday, February 10, 2015 at 12:11am*

**Pre-Calculus**

A corpse was discovered in a motel room at midnight and uts temperature was 82°F. The temperature dropped to 80.5°F two hours later. Given k is a constant for the object in question, S is the surrounding temperature, t represents the time and theta(of time) is the ...
*Monday, February 9, 2015 at 11:55pm*

**Calculus**

Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
*Monday, February 9, 2015 at 11:43pm*

**Calculus**

The rate of growth of a particular population is given by dP/dt=50t^2-100t^3/2 where P is the population size and t is the time in years. The initial population is 25,000. Find the population function. Estimate how many years it will take for the population to reach 50,000.
*Monday, February 9, 2015 at 11:38pm*

**Calculus**

An object has a constant acceleration of 72 feet per second squared, an initial velocity of 17 feet per second, and an initial position of 10 feet. Find the position function describing the motion of this object.
*Monday, February 9, 2015 at 11:33pm*

**Calculus**

Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 56 feet per second. For how many seconds will the ball be going upward?
*Monday, February 9, 2015 at 11:25pm*

**Calculus**

Use a(t)=-32 ft/second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will it go?
*Monday, February 9, 2015 at 11:18pm*

**Calculus**

Sketch the region enclosed by the curves x= 49-y^2 and x = y^2 - 49. Decide whether to integrate with respect to x or y. Then find the area of the region.
*Monday, February 9, 2015 at 9:37pm*

**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 at 8:29pm*

**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 at 10:43am*

**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 at 12:42am*

**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 at 10:47pm*

**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 at 8:37pm*

**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 at 8:37pm*

**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 at 8:36pm*

**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 at 8:33pm*

**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 at 8:29pm*

**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 at 11:16pm*

**Calculus**

The volume of a solid
*Friday, February 6, 2015 at 5:05am*

**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 at 9:09pm*

**Calculus**

Find the anti-derivative of the integral [3sqrt(x)(2x^2-4)]dx
*Thursday, February 5, 2015 at 8:02pm*

**Calculus**

Find the anti-derivative of the integral (7tan^2x+12)dx
*Thursday, February 5, 2015 at 7:33pm*

**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 at 7:32pm*

**Calculus**

Find the anti-derivative of the integral [(7t^2+6t-15)/t^4]dt
*Thursday, February 5, 2015 at 7:25pm*

**Calculus**

Solve the differential equation f"(x)=x^2, f'(0)=3, f(0)=-1
*Thursday, February 5, 2015 at 7:23pm*

**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 at 7:05pm*

**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 at 4:30pm*

**Calculus**

Integral sqrt(x-1/x^5)
*Thursday, February 5, 2015 at 10:22am*

**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 at 11:44pm*

**Calculus 2**

integral of e^x(sqrt(1+e^(2x)))dx
*Wednesday, February 4, 2015 at 8:27pm*

**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 at 7:47pm*

**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 at 5:30am*

**Calculus II**

Find the indefinite integral. ∫xe^-4xdx
*Wednesday, February 4, 2015 at 3:55am*

**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 at 8:27pm*

**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 at 7:41pm*

**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 at 12:34pm*

**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 at 12:54am*

**Pre-Calculus**

find the inverse of g(x)=(x+7)^3+4
*Tuesday, February 3, 2015 at 12:53am*

**Pre-Calculus**

Reflect f(x)=x^2 about the y-axis. What changes?
*Tuesday, February 3, 2015 at 12:45am*

**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 at 12:38am*

**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 at 12:33am*

**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 at 12:32am*

**Calculus - Differentiation**

Differentiate: y = 3/(1-6x^4)
*Monday, February 2, 2015 at 9:54pm*

**calculus**

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π].
*Monday, February 2, 2015 at 9:13pm*

**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 at 9:11pm*

**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 at 12:07am*

**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 at 8:56pm*

**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 at 5:53pm*

**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 at 2:44pm*

**Calculus**

Differentiate: y = (x^2 + 8x +3)^3
*Saturday, January 31, 2015 at 2:27pm*

**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 at 3:38am*

**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 at 1:09am*

**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 at 11:13pm*

**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 at 11:11pm*

**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 at 11:08pm*

**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 at 9:59pm*

**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 at 10:19pm*

**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 at 10:01pm*

**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 at 2:41pm*

**calculus **

lim x->0 (Sin^3 3x - 3x^3)/(x^3) (x^4)
*Thursday, January 29, 2015 at 3:51am*

**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 at 11:18pm*

**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 at 7:01pm*

**Calculus **

Find ¡Ò[dx/(x-2)(x+3)(x-4)] this is really confusing and I need help with it.
*Wednesday, January 28, 2015 at 12:02am*

**Calculus **

differentiate tan-1(2x/1-x^2)
*Tuesday, January 27, 2015 at 11:58pm*

**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 at 9:26pm*

**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 at 9:22pm*

**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 at 8:44pm*

**Calculus II (Math)**

integral of 5e^(-0.7x)
*Tuesday, January 27, 2015 at 8:28pm*

**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 at 4:42pm*

**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 at 9:48pm*

**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 at 9:39pm*

**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 at 4:09pm*

**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 at 4:02pm*

**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 at 11:36am*

**@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 at 12:29am*

**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 at 11:59pm*

**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 at 2:30am*

**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 at 2:03am*

**Calculus: Intergration**

Need help intergrating 1dx/[(4x − x^2)^3/2] and 1dx/[x^2√(x^2-9)] Thanks
*Tuesday, January 20, 2015 at 11:30pm*

**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 at 2:04pm*

**calculus**

use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 at 9:53pm*

**Calculus**

Use a linear approximation to estimate (8.2)^(2/3)
*Monday, January 19, 2015 at 9:50pm*

**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 at 9:27pm*

**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 at 1:20pm*

**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 at 12:10pm*

**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 at 12:00pm*

**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 at 11:55am*

**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 at 8:34pm*

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