Find the exact length of the curve. X = Vу (у — 3), 16

Q: The rate of accumulation of salt in the tank is equal to: O the product of the concentration and the...

A:

Q: If f(x) 3. find f'(3).

A:

Q: Find the Laplace Transform of the piecewise function. ,0 <t < 2; j(t) = 4+5(t – 2)e- t22. { 6. %3D 5...

A: We need to  find Laplace transform.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A:

Q: Solve the radical equation. Check all proposed solutions. V2x + 19 - 8 =x Select the correct choice ...

A:

Q: [1] S(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – vx)* d. [3] S V1+ 2sin3xcos3xdx

A: As per bartleby guidelines we are support to answer only 3 subparts of a question. This post contain...

Q: Find the exact value of each trigonometric function  16. Sin -225 degrees  18. Sec -360 degrees  ...

A: Given: To find- Sin -225 degrees  Sec -360 degrees  Cos 300 degrees 

Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, ...

A:

Q: Given the equation sec x tan x S - Vsec2 x – 1 dx

A: Given,            ∫secxtanxsec2x-1dxTo find : Simplify the given equation.

Q: Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A...

A:

Q: Applying variation of parameters to the DE: y" - y = e +e-, we get the following system of equations...

A: The solution is given below

Q: Why must n2 r in the notation nCr?

A: Topic = Algebra

Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular solution...

A: follow the procedure given below.

Q: Differentiate each function with respect to x. 4. y = (-5x^3- 4)^3 -2)^5 5. y = ((-5x^3 -2)^4 -3)^3

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: evaluate

A:

Q: Find the inverse laplace transform of: F (s) = 2e-3s s(s+1) ° f (t) = (1 – eʻ-3) u (t + 3) ° f (t) =...

A: Given:   F(s) = 2e-3sss+1

Q: (10 O Find (*) if fray= 10 V ex-5

A:

Q: Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular...

A:

Q: Answer the following True or False: For any function f(x) that is differentiable at z = 9. f( – 9 + ...

A:

Q: Question 7 Is there a solution to -1 = 0 on the interval [-2, 2]? Is this solution guaranteed to exi...

A: The given equation, 1x-1=0

Q: 3 9 Bruce is 7- inches taller than Tim. If Bruce is 52 inches tall, what is the best estimate of Tim...

A:

Q: reproends the volume of the solid of revolution obtained byrotating the region 2)Set up but do notev...

A:

Q: Suppose 7x + 2 f(x) ? + х — 2 Then A f(æ) : В х — 1 x + 2 where A = and B =

A:

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = Va and the line ...

A:

Q: 15 51 :- -/- -1- :- ーによ -1- イーキーーュ ナー ートー- ー ーー III II III IL 1,0 15 15 -1 ーャー- -15 r2 + 13x + 42 f(...

A: The given question can be solved as shown in step2.

Q: Given the vectors v and u, answer a. through d. below. v = 11i - 8k u = i+j+k

A:

Q: 0 2 4 6 8 10 12 f(x) =|-16-12 -10 -8 -7 -8 -10 . Estimate f'(2) using the values of f in the table. ...

A:

Q: An automobile's velocity starting from rest is given by the equation below, where v is measured in f...

A: Given query is to find y the acceleration at different times where v(t) is velocity.

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 8x² f'(x) = ...

A: Given, f(x)=3+6x-8x2 Domain of f(x)=(-∞,∞)

Q: For the functions f(x) = - 4x + 1 and g(x) = 2x - x+ 5, find (f o g)( -1.1). (fo g)(- 1.1) =D (Round...

A: Let f(x) and g(x) be the two given functions.Then

Q: Evaluate the given indefinite integral. Indicate u, n, and du. ((e-4)de (0+5)

A:

Q: 7) cos 330°

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Rational Function Identify the domain and the equations of the holes, vertical asymptote and horizon...

A: We have to find domain

Q: The differential equation y" – 4y = e2t has a particular solution of the form y, = u1e + uze“. du1 F...

A: Follow the procedure given below.

Q: Find the Laplace transform of: F (t) (2+t) e*. ( 3n.)! f(s) = + (s+4)* s+4 (s+4)3n+1 (3n)! f (s) = 2...

A:

Q: A 300 liter tank initially contains 100 liters of concentrated orange juice. 10 liters per minute of...

A:

Q: 6. Solve the following problem: kiwis cost 5 coins, oranges cost 4 coins, and 2 grapes together cost...

A:

Q: Find the general solution: (x – y) dx + xydy = 0 - x3 +с — 0 2x2 O none of the choices given In x + ...

A:

Q: A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushe...

A:

Q: Problem 1. Evaluate the following integrals (d) S V3 – 2x – x2 dx. -

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: d²y + 4y = 0 and the Given the differential equation dr2 initial conditions y(0) =0 and y'(0) = a, w...

A:

Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: Find the inverse laplace transform of F (s) = 3se-s s2 +16 f (t) = 3 sin(4t + 4)u (t – 1) f (t) = 3 ...

A: Given:       Fs=3se-ss2+16      ft=L-13se-ss2+16 Apply inverse transform rule:   if L-1Fs=ft then L-...

Q: Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading coef...

A: We have to find f(x) 

Q: Evaluate 2 sin x cos x dx by three methods: (a) Let appearance of the answers obtained in (a), (b), ...

A: To evaluate: I=∫2 sin x cos x dx

Q: Find the equation for the plane through the point Po = (2,2,7) and normal to the vector n= 8i + 3j +...

A: Equation of plane passing through point P(x0,y0,z0) and normal to vector n=ai+bj+ck is given by: a(x...

Q: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

A:

Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6" o...

A:

Q: Evaluate the partial sum SN of the first N terms of the following series, and hence determine whethe...

A: We have to find SN and determine the series. 

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

A: