Last two CALC questions. :)

posted by .

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
* 2
No such value exists.
There is not enough information to determine the value.

  • Last two CALC questions. :) -

    8.
    f'(x) = -5cos(7-5x)
    f'(π) = -5cos(7-5π)
    = 3.769
    or your last choice of 3.770

  • Last two CALC questions. :) -

    #9.first, you need
    0+b = cos(0)
    so b=1
    Now f is continuous

    But you also need the derivative to be defined at x=0, so
    1 = -sin(0)
    But it does not. What that means is the left limit and right limit do not agree, so g' has a break at x=0.

    If you plot both parts of g(x), you can see that the slope changes abruptly at x=0:

    http://www.wolframalpha.com/input/?i=plot+y%3Dx%2B1+and+y%3Dcos%28x%29

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math integrals

    What is the indefinite integral of ∫ [sin (π/x)]/ x^2] dx ?
  2. Precalculus

    Use one of the identities cos(t + 2πk) = cos t or sin(t + 2πk) = sin t to evaluate each expression. (Enter your answers in exact form.) (a) sin(19π/4) (b) sin(−19π/4) (c) cos(11π) (d) cos(53π/4) …
  3. Trig Help!

    Question: Trying to find cos π/12, if cos π/6 = square root 3 over 2, how to find cos π/12 using DOUBLE angle formula?
  4. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally?
  5. Trigonometry

    IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally?
  6. Math

    If y = sin−1 x, then sin y = x,−π/2 ≤ y ≤ π/2. Therefore, to find y = sin−1(−3/22, we must find an angle y whose sine is -3/2. There are many possible angles with this sine, but the range …
  7. Calculus Help

    If f(x) = sin(7 − 5x), find f′(π), which is the derivative at π: −0.754 −0.657 0 0.657 3.770 I chose 0.657 ... I did not really get this exact answer, its just that while I was trying to figure this …
  8. calculus

    F.(0) (10 puntos posibles) C1   What is limh→0cos(π6+h)−cos(π6)h?
  9. precalc

    Find the exact value of each expression, if it exists: the -1 are representing the inverse functions! (a) sin -1 (-√2/2) (b) cos−1 (−1) (c) sin( 􏰀sin−1 (π)􏰁) (d) cos−1􏰀(cos􏰀(−4π􏰁􏰁/ …
  10. pre cal

    Suppose cos(u)=3/5 and sin(u) is positive. sin(u)= sin(u−π)= cos(u−π)= sin(u−π/2)= cos(u−π/2)=

More Similar Questions