Sunday

December 21, 2014

December 21, 2014

Number of results: 51,360

**Calculus**

Suppose f(x) is a differentiable function with f(-1)=2 and f(2)=-1. The differentiable function g(x) is defined by the formula g(x)=f(f(x))' A. Compute g(-1) and g(2). Explain why g(x)=0 must have at least one solution A between -1 and 2. B. Compute g'(-1) and g'(2) in terms ...
*April 1, 2012 by Lin*

**calculus**

In the following problem, suppose f(x) is continuous (and differentiable) function on the interval (0,1). Suppose also that for 0 < x<(1/4) f(x) is negative, for (1/4) <x<1 f(x) is positive, f(1/4)=0, f (2/3)=1, f ' (1/3)= 1, f ' (2/3) =3. a. If the function G(x) ...
*July 3, 2009 by james*

**Math--Calculus**

I'm having a tough time figuring out this problem... S(x) = bracket (piecewise function) a + b arcsin*(tan x/tan 66) for 0 ≤ x < 66 24 for 66 ≤ x ≤ 90. Is the function differentiable? Why or why not? Could someone please help me? My teacher told me the ...
*November 13, 2010 by Jill*

**Calculus, check my answers, please! **

Could someone tell me if I'm right, and if not what the correct answer is? Thank you! I'd appreciate an explanation, too, if you could. :) 1. Suppose you're given the following table of values for the function f(x),and you're told that the function is even: x f(x...
*October 2, 2013 by Samantha*

**General Calculus Question**

On a graph what ways can it not be differentiable? I know at cusps it's not differentiable but are there other instances where it is not differentiable?
*December 1, 2014 by Anonymous*

**calculus**

I am given a table that shows the temperature of the water and the days, which looks like this: t(days) W(t) (in Celcius) 0 20 3 31 6 28 9 24 12 22 15 21 the temperature of the water in a pond is a differentiable function W of time t. The table above shows the water ...
*December 17, 2006 by Jan*

**Calculus**

Decide if the following function f(x) is differentiable at x=0. Try zooming in on a graphing calculator, or calculating the derivative f'(0) from the definition. f(x) = x^4sin(2/x), if x is not equal to 0, and f(x) = 0 if x = 0. If it is differentiable, what is the derivative...
*February 23, 2011 by Abigail*

**Math11**

Hello, I dont know how to do this, please help. Thank you. 1).Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2 − 3x + 2, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the ...
*October 30, 2014 by GUGi*

**calculus**

Let f be the function defined by f(x)= sqrt(x), 0 <or= x <or= 4. and f(x)= 6-x, 4 < x <or= 6 a. Is f continuous at x=4? justify. b. Find the average rate of change of f(x) on the closed interval [0,6]. c. suppose the function g(x)= k sqrt(x), 0 <or= x <or= 4...
*October 8, 2012 by lisa*

**mean value theorem**

Show that the function f(x)=1-|x|, [-1,1] does not satisfy the hypotheses of the mean value theorem on the given interval. Also how do I graph the function together with the line through the points A(a,f(a)) and B(b,f(b)). Also how do I find values of c in (a,b) that satisfy f...
*October 29, 2006 by Jen*

**econ question**

2 questions that im stuck on!!! 1. Suppose a firm has a production function Q = 3(squareroot)N, where N is labour. Suppose the wage is 3, and the price of the output 4. (a) Write the Firm profits (b) Calculate the firm optimal labour choice when the wage is 3. 2. 2. Suppose a ...
*March 10, 2007 by tofu*

**math**

find the numerical deriviative of the given function at the indicated point. use h=0.001. is the function differentiable at the indicated point? 4x- x^2, x=0
*October 3, 2009 by joclyn*

**MATH**

Where are the functions f1(x)=|sin(x)| and f2(x) = sin(|x|) differentiable? Use n as an arbitrary integer constant.) f1(x) = |sin(x)| is differentiable for all x ≠______________ f2(x) = sin(|x|) is differentiable for all x ≠______________ No one has answered
*February 11, 2013 by Selma*

**need help i don't understand**

"If y is a differentialble function of u, u is a diffferentiable function of v, and v is a differentiable function of x, then dy/dx=dy/du *du/dv *dy/dx
*October 5, 2013 by loli*

**calc again!**

i got answers for this one, but i feel like i did something wrong. f(x)= 2x+1 when x is less than or equal to 2 (1/2)x^2 + k when x is greater than 2 1) what value of k will make f continuous at x = 2? my answer: i got k = 3 because it would make the two parts of the function ...
*February 20, 2009 by jane*

**math**

Suppose p(x) is a twice-differentiable function such that p(1) = 3, p'(1) = 0, and p(1) = -2. Which of the following is true? there is a relative maximum at p(1) = 3 there is a relative minimum at p(1) = 3 there is a point of inflection at p(1) = 3 none of these are true
*March 11, 2014 by lilly*

**calc**

Which of the following statements would always be true? I. If f is differentiable at x = c, then f is continuous at x = c. II. If f is continuous at x = c, then f is differentiable at x = c. III. If f is not continuous at x = c, then f is not differentiable at x = c.
*December 9, 2012 by Meera*

**Math Ms. Sue please**

6. Use the function rule (x) = x2 5x + 1. Find the output (3). (1 point) 7 5 25 5 7. Suppose you earn $12 each time you mow the lawn. Use function notation to describe the relationship between your total earnings E and the number of times m you mow the lawn. (1 point) E(...
*May 2, 2013 by Delilah*

**Math **

Where are the functions f1(x)=|sin(x)| and f2(x) = sin(|x|) differentiable? Use n as an arbitrary integer constant.) f1(x) = |sin(x)| is differentiable for all x ≠______________ f2(x) = sin(|x|) is differentiable for all x ≠______________
*February 11, 2013 by Amka*

**Calculus**

Show that the function f(x)= x^(3) +3/(x^2) +2 has exactly one zero on the interval (-infinity, 0). So far this is what I have: 0=x^3 + 3/(x^2) +2 -2= (1/x^2)(x^5 + 3) -2x^2= x^5 +3 But now I'm stuck. I also am not sure if this is how I'm supposed to be solving the problem. We...
*April 12, 2009 by Lauren*

**calculus**

Consider the function f(x) = piecewise [(x^3)(cos(1/x)) , x=/=0], [0, x=0]. Use the definition of the derivative at a point to determine if f is differentiable at x=0 I am not sure how to start this question. Am I supposed to plug in x = 0?
*January 29, 2012 by Daniel*

**Calculus**

Given that f is a differentiable function with f(2,5) = 6, fx(2,5) = 1, and fy(2,5) = -1, use a linear approximation to estimate f(2.2,4.9). The answer is supposed to be 6.3. Here's what I've done so far: L(x,y) = f(2,5) + fx(2,5)(x) + fy(2,5)(y) L(x,y) = 6 + x - y L(2.2,4.9...
*September 30, 2012 by James *

**Craig - baloon - calculus moved up**

Posted by Craig on Tuesday, November 25, 2008 at 7:54pm. t: 0 2 5 7 11 12 r'(t): 5.7 4.0 2.0 1.2 0.6 0.5 The volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon in feet is modeled by a twice-differentiable function ...
*November 26, 2008 by Damon*

**calculus**

suppose that f(x) = x^3 x<=1 ax+b x>1 is differentiable at x=1 then a=?, b=?
*October 20, 2012 by jul*

**Calculus**

Assuming that f and g are functions differentiable at a (though we do not know their formulas). Prove that f +g is differentiable at a using the definition of the derivative.
*October 15, 2012 by Marissa*

**Calculus**

Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2, and g'(1)= 3. Find the value of h'(1). h(x)= [x f(x)] / [ x + g(x) ]
*September 26, 2009 by Dee*

**Calculus**

Suppose f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = -1, g(1) = -2, and g '(1) = 3. Find the value of h '(1). h(x) = (x2 + 11) g(x) h '(1) =
*June 13, 2013 by Mike*

**Math**

Find the value of b, if any, that will make the function differentiable at x = 0 g(x)= { x+b, x<0 cos(x), x≥0 can you help, I got 0 but I don't know if that will make the function differential at x=0.
*November 16, 2014 by Robby*

**Math**

Find the value of b, if any, that will make the function differentiable at x = 0 g(x)= { x+b, x<0 cos(x), x≥0 can you help, I got 0 but I don't know if that will make the function differential at x=0.
*November 18, 2014 by Henry*

**Math**

Find the value of b, if any, that will make the function differentiable at x = 0 g(x)= { x+b, x<0 cos(x), x≥0 can you help, I got 0 but I don't know if that will make the function differential at x=0.
*November 18, 2014 by Henry*

**calc**

x^2 + √(x+y) + y^2 = 0; y is a differentiable function of x
*May 8, 2013 by Sunny*

**calc help**

t= hours 0 1 3 4 7 8 9 l(t) people 120 156 176 126 150 80 0 concert tickets went on sale at noon (t=0) and were sold out within 9 hours. the number of people waiting in line to purchase tickets at time t is modeled by a twice-differentiable function L for 0< = 0 < = 9. ...
*May 20, 2008 by dave*

**calc**

t= hours 0 1 3 4 7 8 9 l(t) people 120 156 176 126 150 80 0 concert tickets went on sale at noon (t=0) and were sold out within 9 hours. the number of people waiting in line to purchase tickets at time t is modeled by a twice-differentiable function L for 0< = 0 < = 9. ...
*May 20, 2008 by sarah*

**CACULUS**

If the function f(x) is differentiable and f(x)= {ax^3 + 6x, if x≤1 {bx^2 + 4, if x>1 then a = What do I do?? No idea what's going on..
*January 4, 2009 by BOB*

**Calculus**

Sketch the graph of a function that is continuous at x=5 but not differentiable at x=5.
*November 10, 2009 by Matt*

**Algebra**

f(x) is a function differentiable at x=1 and f(1)=1/8. What is the value of f(x)-f(1) f'(x) denotes the derivative of f(x)
*May 21, 2013 by Andy*

**Maths**

f(x)is a function differentiable at x=1 and f'(1)=1/8. what is the value of f(x)-f(1) f'(x) denotes the derivative of f(x)
*May 24, 2013 by Andy*

**Math**

Hey I have a question, what does is mean when a function is/not differentiable? thank you.
*February 1, 2010 by Anonymous*

**calculus**

sketch graph of a function f that is differentiable and that satisfies the following
*March 24, 2011 by Anonymous*

**Calculus (Limits)**

f(x) is a function differentiable at x=1 and f′(1)=1/13. What is the limit of (x^3 - 1)/f(x) - f(1) as x approaches 1?
*July 21, 2013 by Drake*

**calculus (hint?)**

f(x) is a twice differentiable function such that f(2x)=f(x+5)+(x−5)^2 What is f''(x)?
*July 21, 2013 by andy*

**Precalculus **

The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function is f(x) is used as the...
*February 10, 2013 by Julie*

**math**

The application of one function followed by the application of a second function to the result of the first as in F^-1(f(x)) is called composition of functions. The two functions need not be inverse of each other. In a diagram, the output of one function is f(x) is used as the...
*February 10, 2013 by Julia*

**math**

Suppose that a<b are extended real numbers and that f is differentiable on (a,b). If f' is bound on (a,b) prove f is uniformly continuous.
*March 8, 2012 by sarah*

**Calculus**

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a,b) such that f'(x)=0. f(x) = x^(2/3) - 1 [-8,8] I plugged in both values and found out that they both equal 4 so ...
*September 26, 2013 by Maddie*

**calculus**

Describe all of the different ways a function may not be differentiable at the point P (a,f(a)).
*March 3, 2010 by Anonymous*

**Calculus**

Given f'(x)=9/2x(3x^2+2)^1/2 (this is the derivative of y= sqrt[(3x^2+2)^3]) , state any values of x for which the function is not differentiable
*May 10, 2014 by Kim*

**Calculus**

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving ...
*May 20, 2007 by Anonymous*

**Calculus**

Let f be a twice-differentiable function such that f(2)=5 and f(5)=2. Let g be the function given by g(x)= f(f(x)). (a) Explain why there must be a value c for 2 < c < 5 such that f'(c) = -1. (b) Show that g' (2) = g' (5). Use this result to explain why there must be a ...
*February 7, 2011 by Leanna*

**math**

The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the following table. the values that you need on the table are.. 20hr/30 knots...
*September 23, 2014 by sara*

**math**

If g is a differentiable function such that g(x) < 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true?
*January 3, 2011 by nicko*

**Calculus**

What is the state of the function f at x = 2? F(x) = [x^3 for x < 2; 5x - 2 for x > or = to 2] ?continuous or differentiable both or neither one or the other?
*February 10, 2012 by Scooby10*

**algebra**

mang pedring wanted to construct a square table such that the length of its side is 30 cm longer than its height. 1. How does the illustration look like? illustrate. 2. How would you represent the height of the table? How about the length of its side? 3. What expression ...
*July 11, 2012 by Sella*

**calculus**

Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20 where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when it is left out on a picnic table is given by T(t)= 4t + 10, 0<...
*September 23, 2014 by Anonymous*

**calculus**

Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20 where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when it is left out on a picnic table is given by T(t)= 4t + 10, 0<...
*September 23, 2014 by Anonymous*

**Math**

Use the function tables to solve the problems. Table :2 Input ( Number of Pies Sold). Output( cost) 1. $ 12.65 2 3 $ 37.95 4 What is the rule for Table 2 ? What are the missing output entries in Table 2? 2/ following the same rule set in Table 2 , what would the output number ...
*February 22, 2014 by NAwaf*

**Math**

complete the function table below for the function F(x) =x2=2 . the numbers in the second row of the completed table make an arithmetic sequence ?.
*January 3, 2012 by Love*

**algebra**

does the data in the table represent a linear function? if so, wirte a rule for the function. (below is what the table looks like) x | -2| -1| 0 | 1| 2| y | -7| 1| 8 | 17| 25| answer choices yes; y = 8x +9 yes; y = 8x + 8 no yes; y = 1/8x + 8
*June 5, 2014 by Emma*

** math**

the table below shows some values for the function f. if f is a linear function, what is the value of a+b? table: X | f(x) 0 | a 1 | 12 2 | b
*July 26, 2014 by anonymous *

**calculus ap**

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true?
*January 2, 2011 by jane*

**calculus**

sketch graph of a function f that is differentiable and that satisfies the following conditions:(1)f'(x)>0, when x<-5 (2)f'(x)<0, when -5<x<1 and when x>1 (3)f'(-5) =0and f'(1)=0 (4)f(-5)=6and f(1)=2.
*March 24, 2011 by Anonymous*

**Calculus**

A differentiable function f(x,y) has the property that f(2,2)=2 and fx(2,2)=1 and fy(2,2)=2. Find the equation of the tangent plane at the point on the surface z=f(x,y) where x=2, y=2.
*October 17, 2012 by Caroline*

**Calculus **

1.a)Determine dy/dx if y= sqrt[(3x^2+2)^3] For this question, I got 9/2x(3x^2+2)^1/2 as my answer. b)State any values of x for which the function is not differentiable
*May 9, 2014 by Kim*

**Trigonometry**

Suppose a smooth glass-top table is tilted slowly. The angle, A, at which a glass plate on the table begins to slide is 43. Use the equation mg sin A = umg cos A to determine the coefficient of friction, u. A)0.43 B)0.22 C)0.90 D)0.93
*October 17, 2014 by TeeKay*

**Algebra**

There is a table of values for the function f. They read: x=3, f(x)=4 x=4 f(x)=5 x=5 f(x)=6 x=6 f(x)=3 x=7 f(x)=5 x=8 f(x)=7 What is the value of 2f(5)-f(4)? I did this wrong obviously, but what I did was figure out the function of five from the table (4), and multiplied that ...
*November 25, 2010 by Benjamin*

**Graphing and Exponential Function**

I really don't understand on graphing exponential function. Can anyone help? It is difficult to answer this. Make a table of values, say. y x for the function y=e^x fill in the table, plot the points.
*February 27, 2007 by Brittany*

**calculus**

If y is a differentiable function of x, then the slope of the tangent to the curve xy - 2y + 4y^2 = 6 at the point where y=1 is ...... How do I do this? Thanks. xy - 2y + 4y^2 = 6 ---> d[xy - 2y + 4y^2] = 0 ---> xdy + ydx - 2dy + 8ydy = 0 ---> (x + 8y - 2)dy/dx = -y...
*December 3, 2006 by Jen*

**maths**

prove that the following function is differentiable at x=0 using first principles: f(x)= e^x when x<0 x=1 when x>0 or x=0 also is f(x) differntiable for all real x?
*December 1, 2009 by kobe*

**Calculus**

Suppose you have a rational function that its denominator is (X-c) and numerator can be any function. Suppose you need to find the limit of this rational function given as x goes to value c. Can you always say that for this problem the limit does not exist?
*January 22, 2012 by Cody*

**math**

Suppose you have a rational function that its denominator is (X-c) and numerator can be any function. Suppose you need to find the limit of this rational function given as x goes to value c. Can you always say that for this problem the limit does not exist?
*January 22, 2012 by Codster*

**Calculus**

It is given that a differentiable function f(x)=4x^3+kx^2-36x-15 (k is a constant) is decreasing on -3/2<x<2 and increasing on 2<x<5. Find the value of k and the turning point(s) of the curve y=f(x).
*November 9, 2012 by Anonymous*

**Algebra2**

Complete parts a c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x) = 2x^2 2. f(x) = x^2...
*February 8, 2008 by Mara*

**sql**

Write a SELECT statement that returns four columns based on the InvoiceDate column of the Invoices table: Use the CAST function to return the first column as data type varchar. Use the CONVERT function to return the second and third columns as a varchar, using style 1 and ...
*September 19, 2011 by Anonymous*

**Real Analysis**

a) Give an example of a function, whose limit exists as x approaches 2, but it is not continuous at x=2 b)Give an example of a function that is not differentiable at x=2, but it is continuous at x=2
*June 9, 2010 by Akkie*

**Calculus (Continuity and Differentiability)**

Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain that the function g ...
*November 12, 2011 by Mishaka*

**Calculus Help Please!!!**

Consider the function f(x)= x −1≤ x< 0 f(x)=tan(x) 0≤ x ≤ π/4 a. Draw a neat sketch of this function. b. Is f(x) continuous at x = 0? (Justify your answer.) c. Is f(x) differentiable at x = 0? (Justify your answer.) show steps! Thanks!
*April 8, 2014 by Anonymous*

**Math**

How do you make a function table? This is the question Jackie is saving her money to buy a coat that costs $121. she already has $61 and if she saves $15 each week,in how many weeks can she buy coat? make a function table to answer the question. I know the answer is four weeks...
*January 5, 2011 by Kate R.*

**Calculus**

Which of the following describes the graph of y=|2x+6|? A. Only continuous B. Only differentiable C. Both A and B D. Not continuous, not differentiable E. Constant
*November 30, 2014 by Anon*

**use equation to complete the function table**

y=5x+3
*March 15, 2011 by Laurin*

**Calculous**

let f be the function defined by |x-1|+2 for X<1 f(x)= ax^2-Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values ...
*November 21, 2011 by Yoona*

**AP Calculous**

let f be the function defined by |x-1|+2 for X<1 f(x)= ax^2-Bx, for X>or equal to 1. where a and b are constants a)if a=2 and b=3 is f continious for all x? justify your answer b)describe all the values of a and b for which f is a continious function c) For what values ...
*November 21, 2011 by Yoona*

**math**

Suppose that function f:[0,2]->R is continuous at [0,2], differentiable at (0,2) and such that f(0)=0, f(1)=1 and f(2)=1. a) Show that there is a x1 that belongs to (0,1) such that f'(x1)=1. b) Show that there is a x2 that belongs to (1,2) such that f'(x2)=0. c) Show that ...
*January 16, 2013 by Zisis*

**Calculus I**

Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20 where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when it is left out on a picnic table is given by T(t)= 4t + 10, 0<...
*September 24, 2014 by Anonymous*

**Calculus**

Below is a table containing information about differentiable functions f and g: x: -2 -1 0 1 2 f(x): 4 3 5 2 1 f'(x):1 4 2 5 3 g(x): 5 2 1 3 4 g'(x):3 5 4 1 2 F(x) + g(x), G(x)=f(x) * g(x), H(x) = g(x)/f(x) Find F'(-1) Find G'(0) Find H'(-2)
*April 11, 2013 by Lauren*

**Calculus**

Suppose that p(x) is the density function for heights of American men, in inches, and suppose that p(69)=0.22. Think carefully about what the meaning of this mathematical statement is. (a) Approximately what percent of American men are between 68.7 and 69.3 inches tall? b) ...
*October 27, 2011 by Cesar*

**Calculus**

Suppose that p(x) is the density function for heights of American men, in inches, and suppose that p(69)=0.22. Think carefully about what the meaning of this mathematical statement is. (a) Approximately what percent of American men are between 68.7 and 69.3 inches tall? b) ...
*October 28, 2011 by Cesar*

**Calculus**

1. For a differentiable function f, f' be the funcyion defined by f'(x) lim h->0 =f(x+h)-f(x-h)/(h) a: Determine f'(x) for f(x)=x b: Determine f'(x) for f(x)=x^2
*October 29, 2012 by Rudy*

**Math-Equations**

Help: I need an equation for the following problems: When x=25, y=? In the function table the values for x are: x = 3,5,7,9 and y = 8,14,20.26 #2 When x=8, y=? In the function table the values for x are: x = 0,2,4,6 and y = 8,18,28,38
*September 3, 2007 by Vp*

**Calculus**

find all values of x for which function is differentiable. y=lnx^2 why is the answer= for all x doesn't equal 0?
*October 29, 2010 by Jin*

**Calculus**

Identify any x-values at which the absolute value function f(x) = 6 |x + 7|, is not continuous: x = _____ not differentiable: x = _____
*February 23, 2011 by Cesar*

**math help !**

3. Which function rule would help you find the values in the table ? n 2 4 6 m -8 -16 -24 A) m = -2n B) m = n - 2 C) m = n - 4 D) m = -4n 2. Explain how to write a function rule from the table below. Then write a function rule. x 2 4 6 y 1 0 1
*May 18, 2014 by kelsey *

**calculus**

Hi, I am lost on couple of problems and i was wondering if you could just help me out with them. 1. Find and classify the points of discontinuity of the function F(x) = (x^2+7x+12)/(x^3-9x) now for this problem i know there is going to be an infinite discontinuity because of ...
*October 7, 2010 by Help asap!! plz*

**another graph - complicated**

Sketch the graph of a differentiable function y = f(x) with the following properties. f(2) = 3, f'(2) = 0, and (a) f'(x) > 0 for x < 2, f'(x) < 0 for x > 2 (b) f'(x) < 0 for x < 2, f'(x) > 0 for x > 2 (c) f'(x) < 0 for x not equalt to 2 (d) f'(x) >...
*November 5, 2006 by Jen*

**math**

Hydra are small freshwater animals. They can double in number every two days in a laboratory tank. Suppose one tank has an initial population of 60 hydra. When will there be more than 5000 hydra? How can a table help you identify a pattern? What function models the situation (...
*January 21, 2012 by Jane*

**Math**

Hydra are small freshwater animals. They can double in number every two days in a laboratory tank. Suppose one tank has an initial population of 60 hydra. When will there be more than 5000 hydra? How can a table help you identify a pattern? What function models the situation...
*January 21, 2012 by Jane*

**calculus**

consider g(x)= {a sin x + b, if x ≤ 2pi} {x^2 - pi x + 2, if x > 2pi} A. Find the values of a a b such that g(x) is a differentiable function. B. Write the equation of the tangent line to g(x) at x = 2pi. C. Use the tangent line equation from part B to write an ...
*January 4, 2013 by Vanessa*

**Calc**

Suppose Y1 is a function of x which dy1/dx=3y1. Suppose y2 is a function of x which dy2/dx=8x+5. If the graphs of y1 and y2 have the same y-intercept and they intersect at x=2, then determine the value of the y-intercept.
*October 11, 2011 by Andres*

**Calculus**

Suppose that you can calculate the derivative of a function using the formula f(x) = 2f(x) + 4x. If the output value of the function at x=4 is 3 estimate the value of the function at 4.012. Linear Approximation right? I'm not seeing an f'(x) anywhere. Can you retype your ...
*October 14, 2006 by Michael*

**calculus**

Let f be a differentiable function such that f(3) = 2 and f'(3) = 5. If the tangent line to the graph of f at x = 3 is used to find an approximation to a zero of f, that approximation is? So confused
*April 21, 2011 by Matt*

**calculus**

The function f is twice differentiable, and the graph of f has no points of inflection. If f(6)+3, f'(6)=-1/2, and f"(6)=-2, which of th following could be the value of f(7). A.)2 B.)2.5 C.)2.9 D.)3 E.)4 the answer is A. but what are the steps to reach this answer?
*April 26, 2011 by Confused*

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