+ R (+) et sinti-etcost] a) Find the velocity and acceleration vectors. 6.) Find the speed, tangential and normal of acceleration when to 12. Sur la components

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

A:

Q: me

A: We have to solve the given differential equation

Q: Find the area of the shaded region. f(x) = 10x - 3x²-x³, g(x) = 0 The area is (Type an integer or a…

A: This question can be solved using the concept of  area bounded by two curves.

Q: .. Find the derivative of each of the following functions:- 1. y=(sin ¹x²+ 1+tan x

A:

Q: Amount of error  Percent of error

A: Given ,  1 cubic inch = 16 cubic cm  True value :  1 cubic inch = 16.39 cubic cm We have to find…

Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A:

Q: Let f(x) = 4x²(x-8) + 14. Find the critical points c that correspond to local minima. (Use symbolic…

A:

Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: Question 6 (a) Use the Maclaurin series, In(1 + x) = x -+-+-=-1(-1) ¹+¹ ² 1+2 to derive the series…

A:

Q: dy 2.L/+R/+y=0 dx2 dx

A: Homogeneous Differential equation with constant coefficients.

Q: 6. - Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral that will give the volume.

Q: 5. A ball of mass 2 kg is dropped from rest in a viscous fluid, the resistance of which is 0.001v N…

A: By solving differential equation

Q: Q1/Without using L'Hopital rule, find the following limit. +². lim

A:

Q: Find the derivative of the trigonometric function. Use the chain rule. f(t) = 5 sec9(pi(t) − 4)

A:

Q: 6. S²2 (+1/12 - √x) dx

A:

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: 8. · √(x) √₁² 1 9. J 5x + 1 dx 10. S 3x +9 (x) √√x² - 1 dx dx

A:

Q: Find an antiderivative F(x) of the function f(x) = 5√√2-7 such that F(0) = -6. F(x) = 5. Now, find a…

A:

Q: 5. A function u(x, y) is defined by u2³-3xy². (a) Show that u is harmonic, i.e. it satisfies…

A:

Q: 5. y"+y= secx tan x

A:

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

A:

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

A: The area of the surface obtained by rotating the curve y=f(x) from x=a to x=b about the x-axis is…

Q: 2. Determine the area above f(x) = 3x² + 6x - 9 and below the x-axis.

A:

Q: 15. Which of the following is equivalent to the triple integral dz dydx in the order dydzdx? 32 31…

A:

Q: -15 Evaluate the integral: -dz x²√²+64 (A) Which trig substitution is correct for this integral? 0x…

A:

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A:

Q: Find an antiderivative F(x) of the function f(x) = 5 sin(x) such that F = 3. F(x) Now, find a…

A:

Q: For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5) dx…

A:

Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

A:

Q: Problem 2. Find an equation for the tangent line to the curve y = 2x² + x3 at x = 4. You must use…

A:

Q: 7. favn-1dr 8. (1) Vai - dar 1 f sh 1 9. dx 5 + 1

A:

Q: 4. [ε (8x − 3) (4x² – 3x) * dx

A:

Q: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

Q: Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic…

A:

Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

A:

Q: Question 1. (5 marks) Find the distance between the point A = (2,2,3) and the line L : x = -1-4t, y…

A:

Q: 1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

A:

Q: Find the first derivative of y = (e³x)(3x² – 7)

A: This question is related to differentiation, We will solve it using given information.

Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

A:

Q: (d) Any local minimum or local maximum of a function f must occur at a critical point of f. True…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and f'(0) = 5,…

A:

Q: Use the graph below, which shows the minimum wages in the United States (in dollars) from 1950 to…

A:

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: f(x, y, z) = x cos(y - z), find: 02 f дудх 02 f дхдz 3. Given (a) (b) (c) (d) 82 f 0x2 8 f дхдудz

A:

Q: 10. f(x, y) = x/(x² + y²)

A:

Q: Given a > 0, evaluate the following limit: k X lim x-0 a 1x

A:

Q: Help with question 11 plz

A:

Q: (f) The function f(x) = √√x is differentiable at x = 0. ○ True O False

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: a) dy dx xe ex²+ y(0)=1

A: