I only need the answers :) (just please make sure they are all right)

Q1

\fIf f(x) = h(tan(x)), then f'(x) is equal to which of the following? Oh (sec2(x)) O sec2(x) Oh '(tan(x)) Oh '(tan(x))(sec2(x))Which of the following is an equation of the tangent line at (2, 5) of 3x- - xy = 2? O y-5=-(x-2) Oy-5=- NIN (x -2) Oy-5--6(x-2) O y-5=5(x-2)\fA particle in rectilinear motion is defined as s(t) = -In(-4t + 4) + cos(2t) for t 2 0 seconds, where s is given in meters. Find the instantaneous rate of change in position, in meters per second, at t = 2. O 0.25 - sin4 O-1 - 2sin4 O 1 - 2cos4 O 1 - 4cos4An airplane's height in feet during an eight-hour flight is given as h(t). Find the expression that represents the rate of change of the plane's height, with respect to time, five hours into the flight. O h(5)-h(0) 5 O Ah 45 Oh "(5) Oh '(5)The amount of medication, in milligrams, in a patient's bloodstream after t hours, can be represented by the following function: 100 M(t) = 1+ ex+0.8 What is the rate of change for the amount of medication in the patient's bloodstream after 3 hours? O-2.1881 mg/hr O -2.1402 mg/hr O-0.0479 mg/hr O 2.1881 mg/hrThe table of values describes the behavior of decreasing function k(x). Find the slope of the line tangent to the graph at k-1(1). X -1 1 K 2 1 -1 K' 1 3 0 O1 O O Undefined due to a 0 in the denominator O N/-What is the derivative of y=(sin 15x2)37 Oy'= V1-25x4 O y'= 10x V1-25x4 Oy'= 30x(sin 15x2)2 V1-25x4 Oy'= 3(sin 15x2)2 V1-25x4Based on the graph, which of the following guarantees that an estimate using a tangent line approximation will result in an underestimate? ' O A point of tangency near x = 2 l O A point of tangency near it = 0 ' O A point of tangency near it = 6 l O A point of tangency near x = 12 A particle moves along the y-axis such that its position at time t is given by y(t) = to - 6t for t 2 0. At what time is the particle speeding up? Of = 0 Of = 2 Of = 4 Of =5Functions x, y, and z are differentiable with respect to time and are related by the equation x = yz2. If y is increasing at a constant rate of 2 units per minute and z is decreasing at a constant rate of 3 units per minute, at what rate is x changing, with respect to time, when y = 4 and z = 5? O-170 O-70 O 70 O 170A stomp rocket is launched straight into the air and is being watched by students 500 meters away. After 2 seconds, when the angle of elevation is ", the angle is increasing at a rate of 0.4 radians per second. How fast is the stomp rocket rising at that moment? O 400 m/sec O 300 m/sec O 200 m/sec O 100 m/secWhat is the missing portion of f ' for f(x) = 2e(2x2-x) V3x+ sin23x f ' ( x ) = (V3x + sin?(3x))2e(2x