Ask a New Question

Asked by Anonymous

Find the POSITIVE value of x that satisfies the mean value theorem for
f(x)=sin(x) on the closed interval
[-3pi/2, 3pi/2].


please help I have no idea how to solve this problem
10 years ago

Answers

Answered by Damon
sin 3 pi/2 = sin 270 = -1
sin - 3 pi/2 = +1

change in sin x = -1 - +1 = -2
change in x = 3 pi/2+3pi/2 = 3 pi
so
slope from left to right = -2 / 3pi
= -.2122

so where does the derivative of sin x = -.2122 ?

d/dx (sin x) = cos x
so cos x = -.2122
x = 102.25 degrees = 1.78 radians
10 years ago

Related Questions

x^2+x-k find all positive values for k, if it can be factored Allowed values of k for for the exp... find a positive value of k such that the area of the region enclosed between y= kcosx and y=kx^2 is... find the least positive value of @. sec (4@+10)cos(3@+17) @=theta find the next two positive and negative angles coterminal with the quadrantal angle. 90 degrees.... find the next two positive and negative angles coterminal with the quadrantal angle. 90 degrees.... Find the positive zero of the function f(x)=x2−5x−7 . Round your answer to two decimal places. (1 po... 3) Find the positive zero of the function f(x)=x2−5x−7 . Round your answer to two decimal plac... Find the positive zero of the function f(x)=x²-5x-7. Round your answer to two decimal places. Res... Find the positive zero of the function f(x)=x^2−5x−7. Round your answer to two decimal places. A... If y2-x=7, find the positive value of y when x=9
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use