24. [-/1 Points] DETAILS BERRAPCALCBR7 4.3.051. MY NOTES ASK YOUR TEACHER Find the equation for the tangent line to the curve y = f(x) at the given x-value. f(x) = x In(x - 6) at x = 7 25. [-/1 Points] DETAILS BERRAPCALCBR7 4.3.059.MI. MY NOTES ASK YOUR TEACHER Find the second derivative of the function. f ( x ) = e-x'17 f" (x ) = 26. [-/2 Points] DETAILS BERRAPCALCBR7 4.4.003. MY NOTES ASK YOUR TEACHER Consider the following function. f(t) = 50e0.1t (a) Find the relative rate of change. (b) Evaluate the relative rate of change at t = 7. 27. [-/2 Points] DETAILS BERRAPCALCBR7 4.4.007. MY NOTES ASK YOUR TEACHER Consider the following function. f (t ) = e-th (a) Find the relative rate of change. (b) Evaluate the relative rate of change at t = 19. 28. [-/2 Points] DETAILS BERRAPCALCBR7 4.4.009.MI. MY NOTES ASK YOUR TEACHER Consider the following function. f(t) = 25v t - 2 (a) Find the relative rate of change. (b) Evaluate the relative rate of change at t = 8. 29. [-/1 Points] DETAILS BERRAPCALCBR7 4.4.011. MY NOTES ASK YOUR TEACHER Because of the popularity and power of smartphones, demand for wireless communication is growing rapidly. Suppose monthly global data traffic is predicted to be 4.90-597x petabytes, where x is the number of ears since 2015. Find the relative growth rate in any year x % per year 30. [-/1 Points] DETAILS BERRAPCALCBR7 4.4.013. MY NOTES ASK YOUR TEACHER If the national debt of a country (in trillions of dollars) t years from now is given by the indicated function, find the relative rate of change of the debt 13 years from now. (Round your answer to two decimal places.) N(t) = 0.5 + 1.7e0.01t % per year 31. [-/2 Points] DETAILS BERRAPCALCBR7 4.4.017. MY NOTES ASK YOUR TEACHER For the demand function D(p), complete the following. D(p) = 90 - 3p (a) Find the elasticity of demand E(p) E(p) = (b) Determine whether the demand is elastic, inelastic, or unit-elastic at the price p = 25. O elastic inelastic O unit-elastic