Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Pls finish all questions showing all steps pls write neatly 1MC3 Assignment # 7 For all problems, use Table of Derivatives and Rules of Differentiation
Pls finish all questions showing all steps
pls write neatly
1MC3 Assignment # 7 For all problems, use Table of Derivatives and Rules of Differentiation 1. Differentiate and simplify your result: a. f(x) = arccos v2x b. f(1) = tan '(t) + tan '(1/t) c. y = sin(esin ) 2. Find f' for f (x) = Vix+ (x+sin4x)213 +1 ) ex 3. Use logarithmic differentiation to find the derivative of a. f (x) = (sin x)3x- b. y = (cosx) In x 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = x- Vx e* sin x 1 -x x 1/3 _9 b. y = 2x2 - x-1 c. y = tan ("tan"?" means inverse tan) d. xy'+ sec(xy) = by e. y= csch(sin(2v/x)) f. y = (x)sin5x g. y= x2x. h. y = tan (x - VI+ x i. xsin 2y + ysin 3x =5 j. xy - y' sin 2x = Inx+ y 5. Find the equation of the tangent line and the normal line to the curve 4x -5 -1 a. y = - when x = 2; b. y = at the point (1,1) . x+1 X 6. A particle moves according to a law of motion s() =13 -12/ + 361, 1 2 0, where t is in seconds and s in meters. (a) Find the velocity at time t. (b) What is the velocity after 3 s? (c) When is the particle at rest? (d) When is the particle moving in positive direction? (e) Find the total distance traveled during the first 8 s. (f) Draw a diagram illustrating the motion of the particle. (g) Find the acceleration at time t and after 3 s. (h) Graph the position, velocity and acceleration functions for OSt $ 8. (i) When is the particle speeding up? When is it slowing down? 7. The height in meters of a projectile shot vertically upward from a point 2 m above the ground level with an initial velocity of 24.5 m/s is h = 2 + 24.51 -4.9t- after t seconds. (a) Find the velocity after 2 s and after 4 s. (b) When does the projectile reach its maximum height? (c) What is that max height? (d) When does it hit the ground? (e) With what velocity does it hit the groundStep by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started