The differential equation 3zy" – 2y + 7y = tan x is normal on any open interval not containing = 0.

Q: ind the general solution of the differential equation. 21y(4) + 76y" + 64y = 0 (x) = D

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Q: (d) When is the particle moving in the positive direction for 0 st S 6? (Enter your answer using…

A: The position of a particle as a function of time t is given below. ft=sinπt2

Q: Evaluate the line integral, where Cis the given space curve. xevz ds, C is the line segment from (0,…

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Q: 1 Using Integration By Parts, x sec x tan 2 x x -u v- v du Svau. Find uv- 1 1 x tan х dx - 2 O 2x…

A: Evaluation of integral by Integral by parts

Q: 1 3 0 4 2 0 0 6. -2 1 0 1 0 0

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Q: An election balot asks voters to select six city commissioners from a group of twelve candidates In…

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Q: а. f(x) = 1– 4x? 4 b. f(x) = 2х + 3 X С. f(x) .2 2х + 1 (2х — 1)" |

A: we have to determine the interval of convergence.

Q: 1.5 m A water tank, shown to the right, is shaped like an inverted cone with height 12 m and base…

A: Take a small portion of cone on the height y to find the integral required to solve the question.

Q: Solve the system by back substitution. - 4x - 8y - 2z - 6w = -1 - 4y - 24z - 8w = - 32 3z + 3w = W =…

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Q: 1.29. Let f = x² + x + 1. (a) Is the ring F7[x]/(f) an integral domain? (b) Show that Z[x]/(7) =…

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Q: Write a system of linear equations represented by the augmented matrix. Give your answer in standard…

A: To find the system of equation .

Q: Use the Shell Method to find the volume of a solid obtained by rotating the region B about the…

A: Introduction: The Shell Method is used to calculate volume by breaking down a solid of revolution…

Q: Evaluate. Leave answer in exact form. S, 2xv7 – 5x dx

A: Solution

Q: Find the area of the following: 1.y = cos x and y = sinx on [0,2n].

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Q: An oil refinery produces oil at a variable rate given by the following equation, where t is measured…

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Q: 4. Given [2r + 5], if r< -1 4 - 2x f(x) = 1² – 2x' if –1<x< 2. sin(r – 2) if r 22 a. Discuss the…

A: This question belongs to real analysis's topic continuity and differentiability.

Q: 2. Determine the second derivative of f (x) = x'e* at x= -2 with a step-size of h=0.50 using Central…

A: Given function is  fx=x2e2x

Q: use Laplace Transform to solve the following differential equation d²y(t) + 6) + 8y(1) = u(1). (0) =…

A: differential equation:d2ytdt2+6dytdt+8yt=ut; y0=0, y'0=1We have to solve the differential equation…

Q: f(x) = (x2 – 2)² ; f'(x) %3D

A: Solution

Q: -2/The graph below shows the movement of a wheel spinning underwater Determine the speed of the…

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Q: Consider the linear system -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix.…

A: The solution is given as

Q: Consider F and C below. F(x, y) = 6xy2 i + 6x3y j C: r() = (t + sinrt), + cos(t)), 0 sts1 (a) Find a…

A: The solution is below.

Q: Consider the given matrix. 3 0 0 0 2 0 12 0 1 Find the eigenvalues. (Enter yo

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Q: Write an augmented matrix for the following system of equations. 8x-4y +4z = -8 6x- 5y + 6z = 7…

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Q: (a) Find an approximation to the integral (x2 - 2x) dx using a Riemann sum with right endpoints and…

A: We have to find (a) using a Riemann sum with right endpoints and n = 8 the value of the R8 and (b)…

Q: Question 10. Solve the following initial-boundary value problem modelling the vibration of a string…

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Q: Determine whether the Mean Velue tee cn be spled to fon the dosed interval (4, Seled al the apply)…

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Q: Find the following complex series. Show vour complete Find the Mclaurin Series expansions of cos(x)…

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Q: Find the solution of the given IVP 3/'-6y + 15y = 2 sin(3t), y (0) =-1, y (0) =-4 %3D The Laplace…

A: The given IVP is                              y''-6y'+15y=2sin(3t), y(0)=-1, y'(0)=-4 Also given…

Q: xp 1) a) Integration Process b) Antiderivative c) Substitution of limits d) Computed Ardycis of…

A: We have to find the integral ;      I = ∫1∞e1xx2dx

Q: The system + 24 y + 61 z + 15 y + 37 z + 16 y + 40 z 6 x 3 4x + -4 4x -3 has the solution x = 41/4…

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Q: Identify and sketch the graph of the following cquations in R. Use our convention in creating your…

A: As you have asked more than one different question which are not linked to each other, we shall…

Q: Find parametric equations for the line tangent to the curve of the intersection of the surfaces x +…

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Q: 1. S x2

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Q: 3. For each algebraic statement below, use a geometric interpretation to help you sketch the graph…

A: Solution:-

Q: 12. Let g(x) = f(t) dt where the graph of f is shown. Evaluate. %3D y 20 a) g(0) b) g(4) = c) g(8)…

A: Given, Graph of f(t) at different values of t g(x)=∫0xf(t) dtTo find: a) g(0)              b) g(4)…

Q: f(x) – f(3) Find the difference quotient when f(x) = 2 + 3x – 4x². Simplify the expression fully as…

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Q: 4. Let X1, ,X4 be iid Unif(0, 0). (a) Show that X(4) is independent of X(1)/X(4). (b) Show that X(4)…

A: Given that X1,X2.............,X4 be iid Unif0,θ (a) X4 is complete sufficient statistics and…

Q: Braking Distance The grade x of a hill is a measure of its steepness. For example, if a road rises…

A: The braking distance D for a car traveling at 50 miles per hour on a wet uphill grade is given by,…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: see attacments

Q: 1) y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; %3D

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Q: Use Green's theorem to find the work done by the force F(x, y) = x(x + y) i + xy2j in moving a…

A: We have to find the work done by the given force using Green's theorem.

Q: factor factor 3 tactor (x+ y)' = (x+ y)(x+ y) (x+ y) 1 23 12 3 1 2 3 12 3 1 23 1 23 1 2 3 123 =…

A: (2) From question (1), the expression given as x+y3=x×x×x+x×x×y+x×y×x+x×y×y+y×x×x+y×x×y+y×y×x+y×y×y

Q: m and 5.50 m. What is the standard deviation

A: Introduction: The Standard Deviation in descriptive statistics is the degree of dispersion or…

Q: Solve eq using Laplace بلعكد لعاو مهواود إسيعوحلعووهکيجوری

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

Q: Consider the polar curves C : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as…

A: Here, we are given the polar curves C1: r=1+cos θ and C2: r=2 cos θ, and let R is the shaded region…

Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

Q: S = If -6 is a basis for the orthogonal complement of S, (which is the same as S- ) then a= b= and…

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Q: (a) If C is the line segment connecting the point (x,, Y,) to the point (x2, Y2), find the…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.