Answer all the questions COMPLETELY. Vote will be given based on answers

1

Find f'(x) and nd the value(s) of x where the tangent line is horizontal. f(x)= 1/)(2 -18x+89 Select the correct choice below and ll in any answer boxes in your choice. '53 A- The value(s) of x where the tangent line is horizontal is (Use a comma to separate answers as needed.) if] B. The tangent line is never horizontal. The drug concentration in the bloodstream t hours after injection is given approximately by C(t) = 3.752\(A) Select the correct choice below and fill in the answer box to complete your choice. (Type an \"6ng decimal. Do not round until the nal answer. Then round to the nearest hundredth as needed.) After hours, the concentration is decreasing at the rate of '1' mg/mL per hour. After hours, the concentration is increasing at the rate of mg/mL per hour. After hours, the rate is neither increasing nor decreasing. Select the correct choice below and ll in the answer box to complete your choice. (Type an integer ora decimal. Do not round until the nal answer. Then round to the nearest hundredth as needed.) After 5 hours, the concentration is decreasing at the rate of 0.3 mg/mL per hour. After 5 hours, the concentration is increasing at the rate of mg/mL per hour. After 5 hours, the rate is neither increasing nor decreasing. (B) Graph the function C(t) = I\" \fUse a graphing calculator to find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y3 - xy - x3 = - 12, where x = 1. Give the equation of the line that is tangent to the curve at x = 1. y=] (Type your answer in slope-intercept form. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed. Round all intermediate values to two decimal places as needed.)A 6.50-fttall man walks at 4.00 ft/s toward a street light that is 14.0 ft above the ground. At what rate is the end of the man's shadow moving when he is 8.0 ftfrom the base of the light? Use the direction in which the distance from the street light increases as the positive direction. The end of the man's shadow is moving at a rate of D /s. (Round to two decimal places as needed.)