Tuesday

May 26, 2015

May 26, 2015

**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*

**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 at 1:06am*

**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 at 8:47pm*

**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 at 7:38pm*

**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 at 3:00pm*

**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 at 2:58pm*

**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 at 1:10pm*

**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 at 10:33am*

**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 at 2:16am*

**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 at 1:15am*

**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 at 2:39am*

**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 at 2:39am*

**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 at 2:38am*

**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 at 1:55am*

**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 at 10:41pm*

**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 at 10:07pm*

**calculus **

If f(x) = 7x^6cos^-1x, find f '(x).
*Wednesday, January 14, 2015 at 9:44pm*

**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 at 8:56pm*

**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 at 8:50pm*

**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 at 8:37pm*

**calculus **

1. Find f '(x) for f(x) = cos (3x3) 2. Find f '(x) for f(x) = ln(x4 + e2x
*Wednesday, January 14, 2015 at 11:18am*

**Calculus II Help Please**

Only question I can't do on the assignment In pharmacokinetics the area under the graph of the drug concentration function with respect to time can be used to determine the total amount of the drug absorbed (the area is actually proportional to the amount of the drug ...
*Tuesday, January 13, 2015 at 10:39pm*

**Calculus 1**

Write a function that has two infinite limits at two different x-values. Write a function where both one sided limits exist at some x value but the two sided limit do not. I don't understand how this would look, please help!
*Tuesday, January 13, 2015 at 9:51pm*

**pre-calculus**

The passenger capsule at the very top is 135 meters above the ground. The diameter is 120 meters? How high is the center of the ferris wheel?
*Tuesday, January 13, 2015 at 9:23pm*

**Calculus**

Find the height of street light that is 12 feet tall. How tall is the light. Write in sentence form, do not forget units of measure.
*Monday, January 12, 2015 at 11:02pm*

**Calculus**

Find the point on the parabola x+y^2=0 that is closest to the point (0,-3).
*Monday, January 12, 2015 at 10:41pm*

**Calculus**

I get mixed up when graphing derivatives. If I'm given the graph of f how do I get f' and f"?
*Monday, January 12, 2015 at 10:39pm*

**Calculus **

F(x) = 3/4x^4 –x^3 -3x^2 + 6x Determine the interval(s) where f(x) is increasing (if any) and the interval(s) where f(x) is decreasing (if any). How do I know where f(x) is increasing or decreasing?
*Monday, January 12, 2015 at 7:09pm*

**Calculus **

suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5m/s^2) . If the car has an initial velocity of 25m/s, how far does the car travel before coming to a full stop? So do I try to integrate the acceleration to find the velocity ?
*Monday, January 12, 2015 at 4:56pm*

**Calculus **

suppose a car is decelerating at a constant rate of 5 m/s^2 (i.e. its acceleration is -5m/s^2) . If the car has an initial velocity of 25m/s, how far does the car travel before coming to a full stop?
*Monday, January 12, 2015 at 4:55pm*

**Please check my Calculus**

1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=-3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal f(2) E. None of these I got ...
*Monday, January 12, 2015 at 10:52am*

**Please check my Calculus**

1. Which of the following describes the behavior of f(x)=x^3-x A. Relative maximum: x=0 B. Relative maximum: x=(1/sqrt(3)); Relative minimum: x=(-1/sqrt(3)) C. Relative maximum: x=(-1/sqrt(3)); Relative minimum: x=(1/sqrt(3)) D. Relative minimum: x=0 E. none of these I got C. ...
*Monday, January 12, 2015 at 10:07am*

**Please check my Calculus**

1. Find all points of inflection of the function f(x)=x^4+x^3 A. (0, 0) and (-½, -1/16) B. (-½, -1/16) C. (0, 0) D. (0, 0) and (-¾, -27/256) E. none of these I got A. I found the second derivative and solved for x and plugged in the values to find the ...
*Monday, January 12, 2015 at 7:35am*

**Please check my Calculus**

1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original function to get points. 2. Find dy/dx ...
*Monday, January 12, 2015 at 2:32am*

**Please check my Calculus**

1. Find all points of inflection: f(x)=1/12x^4-2x^2+15 A. (2, 0) B. (2, 0), (-2, 0) C. (0, 15) D. (2, 25/3), (-2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values in to get my points. 2. Find the ...
*Monday, January 12, 2015 at 12:32am*

**Please check my Calculus**

1. Given f(x)=-6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward on the interval (negative infinity, ...
*Monday, January 12, 2015 at 12:22am*

**Please check my Calculus**

1. Find all critical values for f(x)=(9-x^2)^⅗ A. 0 B. 3 C. -3,3 D. -3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x-1)/(x+3) is concave upward A. (negative infinity, infinity) ...
*Monday, January 12, 2015 at 12:15am*

**Calculus**

Find the absolute maximum and absolute minimum of f on the interval (-4, -1]: f(x)=(x^3+8x^2+19x+12)/(x+4) A. Maximum: None; Minimum: (-2, -1) B. Maximum: (-4, 3); Minimum (-1, 0) C. Maximum: (-4, 3); Minimum: (-2, -1) D. Maximum: None; Minimum: (-1, 0) E. none of these
*Sunday, January 11, 2015 at 11:23pm*

**Calculus**

Find the values of x that give relative extrema for the function f(x)=3x^5-5x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=-1; Relative minimum: x=1 C. Relative maxima: x=+or- 1; Relative minimum: x=0 D. Relative maximum: x=0; Relative ...
*Sunday, January 11, 2015 at 11:08pm*

**college pre-calculus**

4x^2+4y^2-16x-24y+51=0 is the equation of a circle. where is the center of the circle and what is it's radius? A. center (2,3) radius=1/4 B. center (2,3) radius=1/2 C. center (-2,-3) radius=1/4 D. center (-2,-3) radius=1/2
*Sunday, January 11, 2015 at 8:14pm*

**college pre-calculus**

if 1-1/x=2-2/x, then 3-3/x=? A. -3 B. -1/3 C. 0 D. 1/3 E. 3 idek how to do it?
*Sunday, January 11, 2015 at 8:11pm*

**ap college pre-calculus**

if 3abs(x+4)=8, then x=? A. {-10,2} B. {-2,2} C. {-19,11} D. {-22,-14} which one? idek
*Sunday, January 11, 2015 at 8:08pm*

**college pre-calculus**

simplify: (y+1)(y/1-y^2) which answer: A. Y/y-1 B. y/1-y C. y+1/y-1 D. -1 this is what i got y+1/1* Y/1-y^2=-1
*Sunday, January 11, 2015 at 8:05pm*

**college pre-calculus**

simplify: 6-y/6/1/6-1/y 6-y/6*6y/y-6= 6y/6=y Is this correct help i need help!! answers: A. -y B. y C. -6/y D. -1/y which one?
*Sunday, January 11, 2015 at 8:04pm*

**college pre-calculus **

simplify: square root (4/3)-square root (3/4) A. 2-sqaure root(3)/2 square root (3) B. square root (7/12) C. square root (3)/6 D. 2/square root (3) which answer? this is what i got square root (16/12)- square root (9/12)= square root (7/12)
*Sunday, January 11, 2015 at 8:03pm*

**college pre-calculus help**

simplify: 6-y/6/1/6-1/y 6-y/6*6y/y-6= 6y/6=y Is this correct help i need help!!
*Sunday, January 11, 2015 at 8:00pm*

**Calculus**

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle’s Theorem applies. A. [0, 3] B. [-3, 3] C. [-3/2, 3/2] D. [-2, 2] E. none of these I know what the Rolle's Theorem is but I'm unsure on how you know if the function is ...
*Sunday, January 11, 2015 at 2:30pm*

**Calculus**

Let f(x) be a polynomial function such that f(4)=-1, f’(4)=2 and f”(4)=0. If x<4, then f”(x)<0 and if x>4, then f”(x)>0. The point (-4, -1) is which of the following for the graph of f? A. relative maximum B. relative minimum C. critical value D...
*Sunday, January 11, 2015 at 1:58pm*

**Calculus**

Let f(x) be a polynomial function such that f(-2)=5, f’(-2)=0 and f”(-2)=3. The point (-2, 5) is which of the following for the graph of f? A. relative maximum B. relative minimum C. intercept D. inflection point E. none of these
*Sunday, January 11, 2015 at 1:16pm*

**Calculus**

Which statement is NOT true of the graph f(x)=(x+1)(x-3)^2? A. f has a relative maximum at (⅓, 256/27) B. f has a point of inflection at (3, 0) C. f has an intercept at (3, 0) D. f has a relative minimum at (3, 0) E. none of these For f'(x) I got 3x^2-10x+3 For f&...
*Sunday, January 11, 2015 at 12:16pm*

**Calculus**

Consider f(x)=x^2/(x^2+a), a>0. Determine the effect on the graph of f if a is varied. A. Each y value is multiplied by a B. As a increases, the vertical tangent lines move further from the origin C. The graph of the curve is shifted sqrt(a) units to the left. D. As a ...
*Sunday, January 11, 2015 at 10:25am*

**Calculus**

Given f(x) = -1/x, find all c in the interval [-3, -½] that satisfies the Mean Value Theorem. A. c= -sqrt(3/2) B. c= +or- sqrt(3/2) C. The Mean Value Theorem doesn’t apply because f is not continuous at x=0 D. The Mean Value Theorem doesn’t apply because f(-&...
*Sunday, January 11, 2015 at 2:41am*

**Calculus**

A particle is moving along the x-axis according to the position function s(t)=3t^2-t^3. What is its maximum velocity? A. 1 B. 2 C. 3 D. 4 E. none of these I thought velocity was the derivative but I'm not sure with this problem.
*Sunday, January 11, 2015 at 1:34am*

**Calculus**

Find all points of extrema on the interval [0, 2pi] if y=x+sinx (-1.-1+(3pi/2)) (pi, pi) (-1,0) ((3pi/2), 0) none of these I got pi as my critical number but I'm confused with the intervals.
*Sunday, January 11, 2015 at 12:57am*

**Calculus**

Find dy/dx for 5x^2-2xy+7y^2=0 I'm getting confused with signs.
*Sunday, January 11, 2015 at 12:32am*

**Calculus**

Evaluate using the sum of a finite geometric series: The sum of 2^i on the range from i = 1 to n. Please Help! I don't know how to make the exponent in 2^i = to i-1!
*Saturday, January 10, 2015 at 6:32pm*

**calculus**

Please how do i integrate this = ¡Ò (5 x⁶ + 2/x³ ) ? Thanks
*Saturday, January 10, 2015 at 4:48pm*

**Math (calculus)**

If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. Please show me how to solve this problem with steps.
*Saturday, January 10, 2015 at 6:32am*