ketch the curve of the parametric equations. x = 3 + 8t, y = 3 - 4t Write the corresponding rectangular equation by eliminating the parameter.

Q: y"-y-2y = 0, y(0) = 0, y'(0) = 1.

A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

Q: 4. If f(x) = 7x - 3+ In x, then f'(1) = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

A:

Q: It is very unlikely that you will have the maximum efficiency. If the actual efficiency is 75% of…

A: Let's find waste heat generated.

Q: In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between…

A: Given:- u→=2,v→=5,θ=30°

Q: Given A ABC~ A ADE, find the length of line segment AC. B D 33 3 110 Picture is not drawn to scale…

A:

Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

A: Topic:- application of integration

Q: Note that some problems 1. Draw a graph of a function f(x) that is continuous over the interval…

A: Please see the below answer.

Q: Find the values of c such that the area of the region bounded by the parabolas  y = 16x2 − c2 and y…

A:

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

A:

Q: Suppose that f(x) and g(x) are given by the power series f(x) = 4+2x+ 2x² + 3x³ +... and g(x) = 6 +…

A: We need to find coefficients. As per Bartleby guideline we can solve one question. Please upload…

Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 24 O b. 1 4x e O d. 9 O c. 1 6 4x e ∙e 4x 1 18 O e. none e 4x

A:

Q: what is the difference between a power series and the series?

A: series:        The word series as used in mathematics means an infinite sum. For example, the…

Q: Evaluate the indefinite integral. 5 sin³ (2) cos(x)dx = +C

A:

Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

Q: Calculate ff f(x, y, z) dS For Js f(x, y, z) ds = y=7-2², 0≤x, z≤7; f(x, y, z) = = 2

A: we need to solve the given double integral

Q: Determine if the series below is a power series. Select the correct answer below: O Power series O…

A:

Q: (D² - 3D + 2)y = ex, Find Yp O a.-ex O b.ex O c. -xex O d.xex O e. none

A:

Q: Expand Log Stim1 Expand the logarithmic expression below. Find the NUMERIC value of A, b, C, D and…

A: Please see the below picture for detailed solution.

Q: C. Verify by substitution that each given function is a solution of the given differential equation.…

A:

Q: 7. dx dy 4y - 3x 2x-y

A:

Q: Use this definition with right endpoints to find an expression for the area under the graph of f as…

A:

Q: 75 (B) H (C) (D) 45 (E)

A: Topic:- application of derivatives

Q: In the graph to the right, the equation of the parabola is x = OB. S (y-2)² 2 Set up the integral…

A:

Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

A: Given query is to find the value of the integral.

Q: Evaluate the surface integral. J[ ² S is the surface x = y + 3z², 0 ≤ y ≤ 1,0 ≤ z ≤ 5 z dS

A: Here we have to evaluate the given surface integral where S is the surface x=y+3z2 , 0<=y<=1,…

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 5 for f(x) = ln(x + 1). T₂(x) =…

A:

Q: answer

A:

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A:

Q: produced to achieve a maximum profit Manufacturing time per ski Finishing time per ski Downhill…

A: To solve the following problem

Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

A:

Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

A:

Q: Find the total work done if the motion is caused by the force field F(x, y, z) = (x+yz)i + (y+xz)j +…

A:

Q: (D³-2D²-5D+6)y=e³x, Find Yp O a. 1 10 O b. OC. xe O d. xe 1 10 3.x 3x 10 10 e. none 3x 3x

A:

Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

A:

Q: (D2 - 3D + 2)y=e5x, Find Y = Yc + Yp O a. 0³C₁² +₂²² +2² 1 2x 5x Cet 12 O b. О с. c₁₂e-² + C₂e-²x₁ O…

A: We have to solve differential equation (D2 - 3D + 2)y = e5x We have to find  Y = Yc + Yp

Q: 5. Compute all roots. Indicate the location of the roots on a circle centered at the origin 1/2 (i)…

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Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

A:

Q: (D4 - 1)y = sinx, Find Yp O a. 1 10 O b. 1 O C. - sin2x 15 -sin2x 1

A:

Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: Find the indefinite integral. (Use C for the constant of integration.) √x²ex/2 dx

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Q: A particle is moving along the curve having the vector equation R(t) = 4 cos ti + 4 sin tj + 6tk.…

A: Given Position vector:- Rt=4costi+4sintj+6tk

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

A:

Q: R is the region bounded by the functions f(x) = x² + 1 and the x-axis and the lines x=0 and x=3.…

A:

Q: Determine the solution of the following differential equations: (D³ - 3D² + 4) y = 40cos2x + 6

A: Let's solve given differential equation.

Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: fcxko (b) for all r. Is it possible that f is one-to-one? (Either prove that it is not possible or…

A: Explanation of the answer is as follows

Q: b) (1+x) dz

A:

Q: Check Point 3 If sin 0 < 0 and cos 0 < 0, name the quadrant in which angle lies.

A:

Q: Set up an integral that represents the arc length of the function y = 4x4 + 2x from the point…

A: formula for arc length is  L=∫ab1+(dydx)2dxdxndx=nxn-1y=4x4+2x

Q: Determine the exact area of the shaded region under the function: -2 -1 X y = x²+4x+8

A: