Saturday

November 28, 2015
Number of results: 74,090

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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**

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*

**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*

**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*

**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*

**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 43Ί. 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*

** 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*

**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*

**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 21°C, calculate the number of He atoms per cubic centimeter. atoms/cm3 .00000524 - atmospheric composition of airnear sea level ...
*November 17, 2007 by mel*

**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 **

x -1 -1 -2 -2 y 0 -1 2 3Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents the number of tennis matches Diana won each month when she practiced ...
*May 6, 2014 by Mona*

**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*

**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*

**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*

**math**

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents the number of tennis matches Diana won each month when she practiced tennis for h hours every...
*January 17, 2014 by Miya*

**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*

**Math**

The table below represents the velocity of a car as a function of time: Time (hour) x Velocity (miles/hours) y 0 50 1 52 2 54 3 56 Part A: What is the y-intercept of the function, and what does this tell you about the car? Part B: Calculate the average rate of change of the ...
*November 27, 2015 by Adam*

**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*

**6th Grade Math Help & FAST!!!**

I only have 2 questions. 1 is multiple choice and one I have to type so please help. 1. Which set of output values correctly completes the function table? This is the function table: y= 2x - 4. Input (x) 6, 2, -4. Output (y) those three slots all have question marks. A. 8, 2...
*April 14, 2015 by MusicLover14*

**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 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 -- 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*

**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*