Provide an appropriate response.Suppose that g(0) = 7 and that g'(t) = -3 for all t. Must g(t) = -3t + 7 for all t?

What will be an ideal response?


Yes, all antiderivatives of g' are of the form G(t) = -3t + C, where C is a constant. The only such function to satisfy the initial condition g(0) = 7 is g(t) = -3t + 7.

Mathematics

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Give an appropriate answer.Given the function f(x, y, z) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures  < ?.f(x, y, z) = x + y - z ; ? = 0.09

What will be an ideal response?

Mathematics

Graph the following line.Through (9, 0), m = - 

A.

B.

C.

D.

Mathematics

Multiply the expressions.(p + 8)2

A. 64p2 + 16p + 64 B. p + 64 C. p2 + 64 D. p2 + 16p + 64

Mathematics

Find a graph that shows that the given graph is planar.

Mathematics