Wednesday

February 10, 2016
**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*

**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 by Anonymous*

**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 by Roger*

**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 by keli*

**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 by Francine*

**Calculus**

Find the point on the parabola x+y^2=0 that is closest to the point (0,-3).
*Monday, January 12, 2015 by Anonymous*

**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 by Anonymous*

**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 by Matthew*

**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 by Satesh Gobin*

**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 by Satesh Gobin*

**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 by Anonymous *

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Derek*

**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 by Derek*

**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 by Derek*

**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 by Derek*

**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 by Derek*

**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 by Derek*

**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 by Derek*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**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 by Anonymous*

**Calculus**

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

**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 by Marie*

**calculus**

Please how do i integrate this = ¡Ò (5 x⁶ + 2/x³ ) ? Thanks
*Saturday, January 10, 2015 by Joel*

**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 by Dan*

**Calculus**

Evaluate each telescoping sum: 1) Sum from i = 1 to 100 of (5^i - 5^(i-1)). I know that I could apply the (n(n+1))/2 summation rule to the 5^i part of the question and then plug in 100, but I am unsure what to do for the second half --> -5^(i-1)! Thank you for any help!
*Friday, January 9, 2015 by Lucy*

**college pre-calculus**

what is the equation of lowest degree with real coefficients if two of its roots are -1 and 1+i? A. x^3+x^2+2=0 B. x^-x^2-2=0 C. x^3-x+2=0 D. x^3-x^2+2=0 e. none of the above i dont get it is it (x+1) (1+i)
*Tuesday, January 6, 2015 by kyle*

**Calculus**

a balloon rises straight up to 5 ft/sec. and a crying child who lost the balloon is standing 40 ft away. how fast does the balloon move away from the child when it is 30 ft above the ground?
*Sunday, January 4, 2015 by Anon*

**calculus**

finding first derivative for functions y=x³In(5x)
*Saturday, January 3, 2015 by sharon*

**Calculus**

∫csc x cot^2 xdx
*Saturday, January 3, 2015 by Anonymous*

**calculus**

Y =-( x+2)² - 4 state clearly intercept x and intercept Y
*Saturday, January 3, 2015 by arul*

**Calculus**

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). I'm very confused and I do not have any idea on what the first step is.
*Friday, January 2, 2015 by Daniel*

**Calculus**

The function h(x) = x^3+bx+d has a critical point at (2,-4). Determine the constants b and d and find the equation of h(x). Show your work.
*Friday, January 2, 2015 by Daniel*

**calculus**

this is an exploration in my textbook that we are assigned to do. it basically means we are supposed to use our graphing calculator to help. my calculator won't work for some reason so I'm trying to do it without and cannot figure it out. the question is really ...
*Thursday, January 1, 2015 by emilia``*

**Calculus**

f(x)= x/(1+x)^2 c) find the intervals of concavity and the inflection points. My answers: f is concave downward on (- infinity, 2) and concave upward on (2, infinity). Inflection point: ( 2, 2/9)
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

I don't get how you get this part: f' = (1-x)/(1+x)^3 f" = [(-1)(x+1)^3 - 3(1-x)(x+1)^2]/(x+1)^6 = [-(x+1)+3(x-1)]/(x+1)^4 ( I don't understand how you got this!!) = (-x-1+3x-3)/(x+1)^4 = (2x-4)/(x+1)^4
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

What is the derivative of f(x)=(10-3x)/2• sqrt of (5-x)?
*Wednesday, December 31, 2014 by Anonymous*

**calculus**

I really don't know where to start or go with this question...There aren't any similar examples in my book so if you could walk me through it so I can be prepared for my test - that would be great! Thanks. (a) Approximate √26 by using the linearization of y=&#...
*Wednesday, December 31, 2014 by Tenley*

**Calculus**

How would I find out what the height of the pile would be after 5 minutes? A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. The volume formula for a right ...
*Wednesday, December 31, 2014 by Peter*

**Calculus **

f(x)= x/(1+x)^2 a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max values of f.. For f(-1) I got undefined... ...
*Wednesday, December 31, 2014 by Anonymous*

**Calculus**

a) find the intervals on which f is increasing or decreasing. Is it ....f is decreasing on the intervals (- infinity, -1) and (1, infinity)...f is increasing on the interval (-1, 1)....... b)find the local min and max values of f.. For f(-1) I got undefined... f(1)=1/4....... ...
*Wednesday, December 31, 2014 by Anonymous*

**Pre-Calculus**

How do you solve the equation(800+x)tan33=xtan35?
*Monday, December 29, 2014 by Angie*

**Calculus- Can you help me solve for dr/dt**

How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dv/dt , the change in volume with respect to time, which is 15 cubic centimeters per second. The rate we want to find is dr/dt...
*Monday, December 29, 2014 by Rachel*

**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 = x^2h cm^3. 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 ...
*Monday, December 29, 2014 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 = x^2h cm^3. Find the rate at which the volume of the box is changing when the edge length of the base is 4 cm, the edge length of the base is increasing ...
*Monday, December 29, 2014 by Anonymous*

**Calculus**

evaluate each of the following integral:- I= ∫((x^2+ 1)/(x^4+ 1))dx Y=∫(sinhxcoshx)dx/√(sinhx^4+coshx^4)
*Sunday, December 21, 2014 by NA*

**Calculus**

If 3x^2+y^2=7 evaluate ((d^2)y)/(dx^2) when x=1 and y=2
*Sunday, December 21, 2014 by John*

**calculus**

use implicit differentiation to find y=(x+8)^(3x)
*Sunday, December 21, 2014 by John*

**Calculus **

Determine the equation of the normal line y=x^2+5 at the point (2, 9) I got y= 4x+1
*Sunday, December 21, 2014 by Olivia*

**Calculus**

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
*Thursday, December 18, 2014 by Ad*

**Calculus**

Determine the intersection, if any, of the planes with equations x + y - z + 12 = 0 and 2x + 4y - 3z + 8 = 0. I have no clue where to even begin. If someone could help and give me the steps to complete it, that would be greatly appreciated. Do I have to first simplify the ...
*Thursday, December 18, 2014 by Ad*

**Pre-Calculus**

Can you create another pair of six-sided dice (different from the standard dice) that produces the exact same probabilities of the sums two through twelve appearing? The only rule is that the numbers on each face must be positive integers. I've been attempting this problem...
*Wednesday, December 17, 2014 by Evelyn*

**Calculus **

find the absolute extrema for f(x)= (5-x) with a closed interval of -1,2
*Wednesday, December 17, 2014 by AC*

**AP AB Calculus**

Linear approximation: Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent line to the curve at the point (4,-1) c. There is a number k so that the point (4.2,k) is on the curve. Using the tangent line found in part (b), ...
*Wednesday, December 17, 2014 by Katie G*

**calculus honor**

If y = 2x3 – 4x and , find when x = 1. Give only the numerical answer. For example, if = 3, type only 3.
*Wednesday, December 17, 2014 by Anonymous*

**calculus honor**

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 4 cm, the edge length of the base is increasing at ...
*Wednesday, December 17, 2014 by Anonymous*

**calculus**

The height of a cylinder with a fixed radius of 6 cm is increasing at the rate of 3 cm/min. Find the rate of change of the volume of the cylinder (with respect to time) when the height is 20cm.
*Wednesday, December 17, 2014 by Anonymous*

**calculus**

The area A = πr2 of a circular puddle changes with the radius. At what rate does the area change with respect to the radius when r = 5ft?
*Wednesday, December 17, 2014 by Anonymous*

**Calculus **

Average value of f(x) = e ^ 4xsquared on the interval [-1/4,1/4]
*Tuesday, December 16, 2014 by Star*

**calculus**

No idea where to start The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000. (10 points) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 101. Include units in your answer. Find the ...
*Tuesday, December 16, 2014 by John*

**calculus**

Do I just put in 3 for t? A ball is dropped from a tower 550 meters above the ground with position function s(t) = 4.9t2 + 550. What is the velocity of the ball after 3 seconds?
*Tuesday, December 16, 2014 by John*

**Calculus**

Given the function f(x)= x√(x+3), Indicate the domain of f(x): ………………
3;……… What are the x – intercepts of the graph of f(x)? POINTS! ………………
3;…………. ...
*Tuesday, December 16, 2014 by Anonymous*

**calculus**

A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at the instant when the bottom of the ladder is 20 ft from the wall?
*Tuesday, December 16, 2014 by Anonymous*

**Calculus**

Find the derivative of 1/(1+(x-3)^2) Steps would be appreciated.
*Monday, December 15, 2014 by Dan*

**calculus**

there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. 4) F(x)=³√(x); -3</=x</=64 A...
*Monday, December 15, 2014 by K.T.*

**Calculus **

Use linear approximation to approximate f(0.8) given f(x)=2x^3-3x+1 I'm not sure how to do it without a point given.
*Monday, December 15, 2014 by Anonymous *

**Calculus (math)**

The volume of the solid obtained by rotating the region enclosed by y=1/x4,y=0,x=1,x=6 about the line x=−2 can be computed using the method of cylindrical shells via an integral. it would be great if you can just even give me the function inside that I need to take the ...
*Monday, December 15, 2014 by Thank you in advance :)*

**Calculus (math)**

The velocity function (in meters per second) for a particle moving along a line is given by v(t)=t3−5t2. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. Distance traveled = ?? I got 2089/12m as answer but it was incorrect ...
*Sunday, December 14, 2014 by Help me plz!*

**Calculus (math)**

A bacteria culture grows with constant relative growth rate. The bacteria count was 784 after 2 hours and 117649 after 6 hours. What is the relative growth rate? What was the initial size of the culture? Find an expression for the number of bacteria after t hours. Find the ...
*Sunday, December 14, 2014 by Help me plz!*

**Calculus (math)**

Warfarin is a drug used as an anticoagulant. After administration of the drug is stopped, the quantity remaining in a patient's body decreases at a rate proportional to the quantity remaining. Suppose that the half-life of warfarin in the body is 35 hours. Write a ...
*Sunday, December 14, 2014 by luna*

**Calculus (math)**

A tank in the shape of an inverted right circular cone has height 7 meters and radius 4 meters. It is filled with 5 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ=...
*Sunday, December 14, 2014 by Help!!*

**Calculus (math)**

A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax2 about the y-axis. If the dish is to have a 8-foot diameter and a maximum depth of 2 feet, find the value of a and the surface area (in square feet) of the dish.
*Sunday, December 14, 2014 by mariel*

**Calculus (math)**

Consider the area between the graphs x+3y=35 and x+5=y2. This area can be computed in two different ways using integrals
*Sunday, December 14, 2014 by mia*

**Calculus**

Show that Rolle's Theorem applies to the given function for the given values of x: x=-1 and x=4 for f(x)=3x-x^2+2.
*Sunday, December 14, 2014 by Anonymous*

**Calculus **

Consider the function y = 3x5 – 25x3 + 60x + 1. Use the first derivative test to decide whether this function has a maximum at x = 1
*Sunday, December 14, 2014 by Carey*

**calculus**

Given f(x,y,z)=<y,z^2-x,x> use stokes theorem to determine the flux integral curlF dot ds, where S is the graph of z=9 - x^2 - y^2 for z>=0 , oriented by the upward normal. please help!
*Sunday, December 14, 2014 by sam*