Wednesday

June 1, 2016
Number of results: 78,591

**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*

**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--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*

**Math**

Make a table and graph each quadratic function. Use integers from -3 to 3 for inputs. #4- y= -x2 #5- y=2x squared #6- y= -8x squared #7- y= x squared + 2 Make a table and a graph for each function. Use only positive values for x. #10- y= 10/x #11- y= 8/x Write a quadratic ...
*May 11, 2016 by Math*

**Calculus**

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolles 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 continuous and ...
*January 11, 2015 by Anonymous*

**Calculus**

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1). (4 points) x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0 f '(x) 3 2 1 4 0 2 g '(x) 1 5 4 3 2 0
*February 21, 2016 by Henry*

**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*

**Math I need help ASAP! **

1) Identify the function rule shown in the table. Function Table n - 3, 4, 5, 6 y - 2, 1, 0, -1 a. y = 2 + n b. y = 5n c. y = 5 - n d. not enough information ** 2) What is the values of the function y = -2x - 4 for x = 0,1,2 and 3? a. 0, -6, -8, -10 b. -4, -6, -8, -10 ** c. -4...
*April 7, 2015 by Talea*

**Calculus**

1. Provide an example of a function f that is continuous at a = 2 but not differentiable at a = 2. 2. Provide an example of a function g that is differentiable at a = 3 but does not have a limit at a = 3. Thanks!
*July 8, 2015 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*

**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*

**Math**

which points of f(x)=arcsin(sinx) are not differentiable? And what is the range of this function? How could I do this without graphing? I am just afraid that my test, which does not allow calculators, will have some question asking me to find this information. Also, when are ...
*January 11, 2016 by Bob*

**Calculus**

The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t---------0-----2------3-------7----8 (hours) R(t)--1.95---2.5---2.8----4.00...
*February 23, 2016 by Henry*

**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*

**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*

**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*

**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 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 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*

**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 **

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 *

**Calculus**

Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or equal to 1; bx-10/3, x<1. If the function is differentiable, find the sum of a+b.
*April 28, 2015 by Anonymous*

**Math Help Please!!!**

Use the function rule to complete the table Table= x= -2, -1, 0, 1, 2 y= (figure out y) Function rule= -10x+y=4
*March 19, 2015 by Kennabug*

**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*

**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*

**physics**

How am I supposed to answer this question on the lab write-up? I have the date, but I don't know the formula or process to use. Thanks. Organizing Data: Using your estimate of the threshold frequency from your first data table and your measured value of ft for sodium from your...
*May 21, 2013 by Sadie*

**Math**

Suppose f(x)= |x^(2)+2x−63|. Where is f(x) not differentiable?
*February 9, 2016 by jimmy*

**Math- Calc**

Suppose f(x)= |x^(2)+2x−63|. Where is f(x) not differentiable?
*February 9, 2016 by kim*

**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 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*

**economics**

suppose Y=100 is fixed,suppose the consumption function is c(Y-T)=20+M(Y-T), where M is constant between 0&1,suppose the investment function is I(r)=30-50r,suppose we leave G&T as un specified constant.drive equilibrium interest rate&predict effect of increase i G on r
*May 24, 2016 by dawit*

**Math- steve? reiny?**

1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^-1(1) and (f^-1)'(1). ...
*January 11, 2016 by Bob*

**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 1**

If a function is continuous, then it is differentiable.
*June 9, 2015 by TayB*

**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*

**calculus**

a) Obtain all solutions of the equation z^3 +1 = 0 b) Let z = x + iy. Obtain the real and imaginary parts of the function f(z) = 1/1+z c) Let f(x + iy) = x^2 - y^2 + iv( x,y). Determine a function v such that f is differentiable in the whole complex plane. Express f as a ...
*March 3, 2016 by jack*

**Statistics:Z and T Statistics: Confidence Interva**

Z and T Statistics: Confidence Intervals and Significance Tests: A friend who hears that you are taking a statistics course asks for help with a specific chemistry lab report. She has made four independent measurements of the specific gravity of a compound. The results are : 4...
*September 11, 2007 by Carma*

**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**

Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for ...
*May 7, 2015 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*

**Math**

Explain in a variety of ways how you can distinguish the exponential function f(x)=2^x from the quadratic function f(x)=x^2 and linear function f(x)=2x. (Hint: Compare the rate of change using finite differences in table of values; identify a constant ratio in the table of ...
*April 6, 2015 by Piper*

**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*

**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*

**math**

find dy/dx assuming that y is differentiable with respect to x and x is also differentiable with respect to y. a)xy+x^2y^2=x^3y^3 b)xsiny+ycosx=xy
*February 22, 2016 by ruth*

**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**

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*

**compemtary math**

. To determine the compound amount of an investment of $10,000 with an interest rate of 6% compounded monthly after 4 years requires you to use a table factor that goes beyond the Compound Interest Table. Calculate the new table factor for this investment. Now, using the new ...
*October 3, 2013 by mary*

**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*

**Math**

Find the missing number that completes the table of values what's the Function Objective a function table Example:y= X+2
*April 7, 2016 by Alyssa *

**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**

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*

**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*

**Statistics Question**

I have two questions related to moment generating functions. I can't find any sort of examples or explanations in my book... 1) Calculate P(X<=2) if the moment generating function is given by: Mx(t)=((1/4)+(3/4)e^t)^5 2) Suppose the moment-generating function for a random ...
*November 24, 2007 by Jillian*

**algebra**

The Jackson High School gymnastics team sells calendars for their annual fundraiser. The function rule below describes the amount of money the team can raise, where y is the total amount in dollars, and x is the number of calendars sold. y x = + 3 28 Use the function rule to ...
*February 23, 2016 by crissy*

**Economics - URGENT**

Suppose we now care about the long run decisions of a firm that has a production function of the form q = 4L^1/2 + K Suppose w = 1 and r = 0.5 Assume that, at the beginning when w0 = 1 and r = 0.5, the firm chose to produce q0 = 20 units of output. Then, the wage increased to ...
*February 23, 2016 by Sara*

**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*

**Algebra**

Which is NOT true about the following table. X. 1, 2, 3, 4 Y 1, 4, 9, 16 A. It shows a linear function******** B. x increases by 1 each time C. The rate of change is not constant D. Y increases by a different value each time Write a quadratic function rule for the given table ...
*February 16, 2015 by BUBBLES*

**dr. bob**

Use the data in Table 5.4 to calculate the partial pressure of He in dry air assuming that the total pressure is 1.0 atm. Assuming a temperature of 21C, calculate the number of He atoms per cubic centimeter. atoms/cm3 .00000524 - atmospheric composition of airnear sea level ...
*November 17, 2007 by mel*

**economics**

suppose a firm's constant-returns to scale production function requires it to use capital and labor in a fixed ratio of two workers per machine to produce 10 units and that the rental rates for capital and labor are given by v=1, w=3. a. calculate the firm's long run total and...
*October 4, 2007 by jon*