The value

V

of an item

t

years after it is purchased is given below. Use a graphing utility to graph the function.\

V=5,000e^(-0.6214t),0

\ (a) Find the rates of change of

V

with respect to

t

when

t=1

and

t=5

. (Round your answers to two decimal places.)\

V^(')(1)=\ V^(')(5)=

\ (b) Use a graphing utility to graph the tangent lines to the function when

t=1

and

t=5

. (Round your coefficients to two decimal places. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)\ tangent at

t=1,V=

\ tangent at

t=5,V=

V=5,000e0.6214t,0t10 (a) Find the rates of change of V with respect to t when t=1 and t=5. (Round your answers to two decimal places.) V(1)=V(5)= b) Use a graphing utility to graph the tangent lines to the function when t=1 and t=5. (Round your coefficients to two decimal places. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) tangent at t=1V= tangent at t=5V=