Question

The table below shows values for four differentiable functions. Suppose we know the following things: h'(x)...

The table below shows values for four differentiable functions. Suppose we know the following things:

h'(x) = g(x)

g'(x) = f(x)

f'(x) = b(x)

b'(x) = h(x)

0 1 2 3 4
b(x) 2 4 3 1 0
f(x) 1 4 2 3 0
h(x) 2 0 3 1 4
g(x) 2 0 4 3 1

a) What is intergal from a = 2 and b = 4  f(x) dx?

b) What is intergal from a = 0 and b = 3 (h(x)+3) dx

c) What is the equation of the tangent line to the curve y = b(x) when x = 2.

Math   Calculus   
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