Provide an appropriate response.Suppose that g(0) = 5 and that g'(t) = -2 for all t. Must g(t) = -2t + 5 for all t?

What will be an ideal response?


Yes, all antiderivatives of g' are of the form G(t) = -2t + C, where is is a constant. The only such function to satisfy the initial condition g(0) = 5 is g(t) = -2t + 5.

Mathematics

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Solve: 6x + 4 = 5x - 13

A. -52 B. -17 C. 9 D. -9

Mathematics

Find the range and the standard deviation. Round to the nearest hundredth, if necessary.0, 1, 1, 6, 8, 9, 12, 20 range is__________deviation is__________

What will be an ideal response?

Mathematics

Use even and odd properties of the trigonometric functions to find the exact value of the expression.cos

A. - 
B.
C. - 
D. - 

Mathematics

Indicate whether the equation represents direct variation, inverse variation, or neither. If it is a variation equation, identify the constant of proportionality.y = 24

A. direct variation; k = 24
B. neither
C. direct variation; k = 
D. inverse variation; k = 24

Mathematics