# math/Calc

posted by .

g(x)={1+cos(pi/2-x/1)
0

for-2 <or= x <or=2
for x<2 or x>2

is g(x) continuous at x=2 is it differentiable at x=2? ex[lain in detail I'm very confused as to how to solve this problem

• math/Calc -

As written, it appears that
g(x) = 1+cos(pi/2 - x) = 1+sin(x)...

At x=2, that would make g(2) = 1+sin(2)

since g(2) is not 0, g is not continuous at x=2, since g(x)=0 for x>2.

## Similar Questions

1. ### 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, …
2. ### 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?
3. ### Calculus

g(x)={1+cos(pi/2-x/1) 0 for-2 <or= x <or=2 for x<2 or x>2 is g(x) continuous at x=2 is it differentiable at x=2?
4. ### calc

Which of the following statements would always be true?
5. ### Calculus

Which of the following describes the graph of y=|2x+6|?
6. ### Calculus

Use the graph of f(x)=x^2/(x^2-4) to determine on which of the following intervals Rolle’s Theorem applies. A. [0, 3] B. [-3, 3] C. [-3/2, 3/2] D. [-2, 2] E. none of these I know what the Rolle's Theorem is but I'm unsure on how …
7. ### Calculus

f'(x) if x is less than or greater than 1 Let F'(x)={ g'(x) if x>1 Where f'(x)=x/(x^2-2)^2 and g'(x)=3x-4 A. If f(1)=3/2, find f(x) B. If F(x) is continuous at x=1, find g(x). C. Express F(x). D. If F(x) is continuous at x=1, determine …
8. ### Calc 1

If a function is continuous, then it is differentiable.
9. ### Math (Continuous/Differentiable)

goo.gl/photos/2RPU1dAWoKzUn4Pf8 1. Which of the above functions are not continuous where they are defined?
10. ### Calculus

If f is differentiable at x=c, which of the following statements must be true?

More Similar Questions