Calculate G(17), where dG/dt = t^−1/2 and G(3) = −3. (Round your answer to two decimal places.) G(17)=?

Step-by-step explanation:

Let and , we proceed to find by integrating in time:

(1)

Where is the constant of integration. If we know that and , then the constant of integration:

The resultant function is .

Lastly, we evaluate this function at :

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.