Thursday

July 31, 2014

July 31, 2014

Number of results: 17,566

**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*

**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*

**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**

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*

**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*

**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*

**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**

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*

**calc**

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

**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**

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*

**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*

**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*

**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**

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*

**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 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*

**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*

**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*

**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**

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**

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*

**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*

**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*

**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 *

**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**

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*

**Calc ii**

Let f be twice differentiable with (f(0)=4), (f(1)=8), and (f'(1)=6). Evaluate the integral from 0 to 1 of xf''(x)dx\). I have no clue how to approach this since we dont know what the function is? please help, I've finished every other question and the assignemnt is due at 9
*October 4, 2013 by Anonymous*

**Math **

suppose u and v are functions of x that are differentiable at x=2 and that u(2) =3, u'(2) = -4, v(2) = 1, and v'(2) find values of derivatives at x = 2 (d/dx)(uv) = ? I would like to know how to set this up because I'm only used to getting problems that want the d/dx given ex...
*November 1, 2011 by Amy*

**math**

Thank you for your help :) "The piecewise function f(x)= n(x^3)-x______when____x<(or=to)1 =m(x^2)+5_______when_____x>(or=to)1 is differentiable everywhere. What is n? If you could explain step by step how to do this that would be great because I just do not see how to do...
*January 17, 2011 by APPRECIATIVE STUDENT*

**Calculus **

I need help creating an equation for a piecewise defined function with two different rules, that is continuous but not differentiable at the point where the rules change, x=3. Please help to justify the answer.
*October 20, 2010 by Kelly*

**Maths Derivatives & Calulus**

1) Find d^2y / dx^2 given that y^3 - x^2 = 4 2)If y = x + ( 1 / x ) , prove that x^2 . y'' + xy' a^2 . y = 0 3) Find dy/dx for the following function. cos ( x - y ) = ( y ) ( 2x + 1 ) ^3 4)Find the values of A and B that make f(x) differentiable at x = 0 f(x) = A + 2x + 3...
*October 21, 2011 by Yousef*

**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*

**Last two CALC questions. :)**

8. If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π: −0.754 −0.657 0 * 0.657 3.770 9. Given the function: g(x)={x+b, x<0 {cos(x), x≥0 Find the value of b, if any, that will make the function differentiable at x = 0. 0 1...
*December 20, 2013 by Samantha*

**Calculus**

Sketch a graph of a function f(x) that is differentiable and that satisfies the following conditions. c) f'(-3) = 0 and f'(1) = 0 Please show me, step by step, how to sketch the problem!
*May 25, 2008 by Anonymous*

**math**

I dont understand this calculus problem at all. can someone show me step by step? Find all values of x for which the function is differentiable
*October 3, 2009 by alison*

**math, please somebody help me**

Given the function f(x) = x4 , and suppose g(x) is some other function of x. (a) Then the function F(x) = (g(x))^4 is the same thing as ... a. f '(g(x)) g'(x) b. f(g(x)) c. f '(x) d. f '(g(x)) e. g(f(x)) (b) By either the extended power or the chain rule, we have F '(x) = a...
*February 20, 2007 by jessica (the other one)*

**math**

Hi would you please show how to know if the function is differentiable or not ? please show me the answer with examples
*December 13, 2011 by jack*

**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*

**economics**

Suppose a monopolist faces production function Q = 3KL and demand function Q = 12 − P. Derive the input demand (as a function of Q, r and w) for capital and labor.
*March 31, 2011 by Yash*

**calculus 2**

Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013
*November 15, 2009 by rimmel*

**Precalculus **

Suppose f is a function with exponential decay. Explain why the function g defined by g(x)=1/f(x) is a function with exponential growth. PLEASE HELP!!
*March 10, 2010 by jh*

**Calc**

Various values for the derivative, f'(x), of a differentiable function f are shown below. x=1, f'(x) = 8 x=2, f'(x) = 4 x=3, f'(x) = 0 x=4, f'(x) = -4 x=5, f'(x) = -8 x=6, f'(x) = -12 If f'(x) always decreases, then which of the following statements must be true? A) f(x) has a...
*January 21, 2011 by Erica*

**Calculus, check my answers, please! 3**

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f 1 that is even. The function f has an inverse f 1, but we can'...
*October 2, 2013 by Samantha*

**How to sketch graph of...**

a differentiable function y =f(x) that has the given properties. 1. local minimum at (1,1), and local maximum at (3,3) 2. local minima at (1,1) and (3,3) 3. local maxima at (1,1) and (3,3) I don't remember how to do this. Thank you. http://en.wikipedia.org/wiki/...
*November 3, 2006 by Jen*

**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*

**one more graph question**

Hopefull the last one. :) Sketch the graph of a differentiable function y = f(x) with this property: A local minimum value that is greater than one of its local maximum values
*November 5, 2006 by Jen*

**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*

**Micro econ**

1: Suppose John had a utility function of U=X^2/3Y^1/3 . Derive Johns demand function from his utility function showing all the necessary steps. i know that the MUx=MUy and first i derive the equation to 2/3X^-1/3 1/3Y^-2/3 then im stuck i need help with the simplification
*September 18, 2007 by Brett*

**Calculus**

Can someone prove (informally) the following theory: If there is a differentiable function, f, that is represented by a Taylor series, T, then the convergence interval for series T is identical to the convergence interval for the term-by-term derivative T'.
*June 22, 2009 by Sean*

**precalculus**

Suppose f is an even function and g is an odd function such that the composition fog is defined.d show that fog is an even function
*September 23, 2012 by Fatima*

**Check a few more CALC questions, please?**

I feel pretty good on my answers. Are there any I got wrong? Thank you for the help! 1. If g(x) = tan (5x^2), then g′(x) = * 10x sec2(5x2) sec2(5x2) 10xsec(5x2)tan(5x2) 10sec2(5x2) 7xsec2(5x2) 2. The inflection point of the curve y = x4 − 8x3 + 24x2 + 7x − 3...
*December 19, 2013 by Samantha*

**Math -- Calculus**

Hours of Daylight as a Function of Latitude Let S (x) be the number of sunlight hours on a cloudless June 21, as a function of latitude, x, measured in degrees. (a) What is S (0)? (b) Let x0 be the latitude of the Arctic Circle (x0 ≈ 66◦ 30′ ). In the ...
*October 10, 2008 by Gerald*

**Algebra**

Suppose H(x)=(sqrt5x+3). Find two functions f and g such that (fog)(x)= H(x) . f(x)= g(x)= Neither function can be the identity function. (There may be more than one correct answer.)
*February 4, 2011 by Janet*

**precalculus**

Suppose g is an even function and f is any function such that the composition fog is defined. show that fog is an even function
*September 23, 2012 by Fatima*

**calc**

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [-1/2,1/2] Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is ...
*April 14, 2007 by Julia*

**pre calc**

The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest Integer Function The ...
*December 18, 2009 by kim*

**calculus**

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? f has a relative maximum at x=-2 and a relative minimum at x=2, f has a relative minimum at x=-2 and has a relative maximum at x=2, f...
*January 2, 2011 by felix*

**differentiability**

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x2-4)*g(x), which of the following is true? A. f has a relative maximum at x=-2 and a relative minimum at x=2, B. f has a relative minimum at x=-2 and a relative ...
*December 31, 2010 by matthew*

**Calculus**

Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to f(x) (E) f(x)~y=f(a...
*November 5, 2008 by George*

**Calculus**

Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to f(x) (E) f(x)~y=f(a...
*November 5, 2008 by George*

**Calculus**

Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to f(x) (E) f(x)~y=f(a...
*November 5, 2008 by George*

**Calculus**

Suppose f(x) is differentiable at x=a. What does tangent line approximation, y=, mean? Select all that apply (A) Local linearization (B) y=f(x)-f(a)-f'(a)(x-a) (C) The best liner approximation of f(x) near a (D) After zooming y is a good approxiamtion to f(x) (E) f(x)~y=f(a...
*November 5, 2008 by George*

**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*

**Calculus c**

Let f be a twice-differentiable function defined on the interval -1.2 less than or equal to x less than or equal to 3.2 with f(1)=2. The graph of f', the derivative of f, is shown on the right. The graph of f' crosses the x-axis at x=-1 and x=3 and has a horizontal tangent at ...
*December 19, 2012 by Madeline*

**statistics**

Suppose that a random variable Y has a probability density function given by f(y) = ( ky 3 e y=2 ; y > 0 0; elsewhere: Find the value of k that makes f(y) a density function.
*April 16, 2012 by Anonymous*

**URGENT!! PLEASE Calc**

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [-1/2,1/2] Well according to Rolle's Theorem, it has to be continuous on [a.b] and it is ...
*April 14, 2007 by Julia*

**economics**

Suppose a person has a utility function U=YX. What is the minimum level of income required to get a utility of 20? Your answer should be a function of, among other things, Px and Py.
*September 20, 2007 by jon*

Pages: **1** | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Next>>