8:10 B < (D) 7.265 Crop photo .III LTE 68 For t≥0, the components of the velocity of a parti equations x'(t) = and y' (t) = kekt where k is a t+1 line tangent to the path of the particle at the point where (A) 0.072 (B) 0.433 (C) 0.495 (D) 0.803 (E) 0.828 If x = t² + 1 and y = t³, then d²y/dx²= (A) 3/4t (B) 3/2t (C) 3t (I) 61 E) 3/2 3 AP Calculus BC Reset Done

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: (a) Find the equation of the tangent line to y = In x at x = 1. (b) Use your answer to part (a) to…

A: a) The given data is: y=lnx  Find the equation of the tangent line at x=1 At x=1, y=ln1y=0 ∴point is…

Q: Find the slope of the line tangent to the graph of f(x) = xe* at x = 0. %3D

A:

Q: A projectile is launched upward from ground level with an initial velocity of 30 mis. (a) Find the…

A: It is given that, Initial velocity, u=30 m/s,Angle, θ=90°,andg=9.8m/s2 The ball is thrown vertically…

Q: 2. The figure below shows the graph of a function k(x) and its tangent line at a point (a, 2). The…

A: Given: The average rate of change of kx between x=a and x=6 is 16 and the below graph: To find: (a)…

Q: The value of the instantaneous velocity at t = 1 is

A: Consider the position function To calculate the instantaneous velocity

Q: II. Application of Derivatives 3. Find the tangent line to f (r) = (2– 4x²)° at z = 1.

A:

Q: 3. Find the equation of the normal line to the curve f(x) = 6e2* cos x at the point (0,6).

A: Given: fx=6e2xcosx; 0,6 We know that for finding equation of normal at given point, we need to find…

Q: (A) Find equations of the tangent and the normal lines to the curve x-4t-3, y-3t-6 at the…

A:

Q: 8.) For this problem, include any derivatives you compute. The position of a particle moving along…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Consider the following. y' = V 4x - 3 %3D Find each indicated derivative. y" y(4) %3D %3D %3D

A:

Q: Consider the following graph. y 4л y = 6 x arccos(X – 1) (1, 3 л) 2л 1 2 Given the function y = 6x…

A: Given y=6xcos-1(x-1)We have to find y'Differentiate with respect to x we get-y'=ddx6xcos-1(x-1)…

Q: What is the slope of the line tangent to the curve X = (1 + sin t) cost, y = (1 + sin t) sint at t =…

A: x=(1+sin⁡t)cos⁡t,y=(1+sin⁡t)sin⁡t at t=π

Q: B. find y' and y" 5x+2 1. y = %3D 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4)

A: Topic = Derivative As per guidelines , At a time only three sub-parts can be answered. please repost…

Q: dy of the curve yln x + 5x² + y' = 13 at the point (1,2) dx b) Find

A:

Q: of the curve yln x + 5x² + y' =13 at the point (1,2) dx b) Find

A: