Question: (a)(5 pts) Find the linearization of the function f(x)=e2x at an appropriate center to approximate the value of e1.98. Explicitly write the center value.(b)(5 pts
(a)(5 pts) Find the linearization of the function f(x)=e2x at an appropriate center to approximate the value of e1.98. Explicitly write the center value.(b)(5 pts ) Using the above linearization, approximate the value of e1.98.A container is in the shape of a truncated cone (frustum), which has volumeV=h3(R2r2Rr)where R indicates the radius of the top of the truncated cone, r the radius of the bottom of the truncated cone, and h the height of the cone.For this particular container, R=2 meters, r=1 meter and h=5 meters. Liquid is poured into this container so that the container is filling at a rate of 4m3s.(a)(5 pts ) Draw and label a diagram of the truncated cone.Draw and label a "snapshot" of the liquid in the truncated cone when the liquid is at a height of h=3 meters.(b)(5 pts ) When the liquid is at a height of 3 meters deep, how fast is the radius of the surface of the liquid, R, growing? Hint: Find an equation relating h to R. When constructing this equation, ask yourself: Is r, the radius of the bottom of the liquid, changing?Which of the following graphs could have a linearization of L(x)=-2x1 at x=1?
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