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# Mathematics - Calculus

I really need help on these 4 problems and if you could please post your steps on how to do them, I'd greatly appreciate it.

#1 Find an equation for the line tangent to the curve at the point defined by the given value of t.

Also, find the value of d2y/dx2 at this point x=6t, y = &#8730;t, t = 1/25

The equation for the line tangent to the curve at t=1/25 is?

d2y/dx2| t= 1/25 = ?

#2. Find the function's absolute maximum and minimum values on the given interval.

F(x) = x 5/3, -8<x<1

The absolute maximum of the function f(x) = x5/3 on the interval -8<x<1 has a value of ?

The absolute minimum of the function f(x) = x5/3 on the interval -8<x<1 has a value of?

#3. Find the absolute maximum and minimum values of the function on the given interval. F(x) = 1/3 x+5, -1 < x < 3

The absolute maximum of the function f(x) = 1/3 x+5 on the interval -1<x<3 has a value of?

The absolute minimum of the function (x)=1/3x+5 on the interval -1<x<3 has a value of ?

#4 Find the value or values of c that satisfy the equation f(b)-f(a)/b-a = f(c) in the conclusion of the Mean Value Theorem for the following function and interval.

F(x) = 5x(squared) + 2x-3 [-1,0]

The values(s) of c that satisfy the equation f(b)-f(a)/b-a = f(c) is/are ?

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.

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