2 b. 4y"+²y = 0, y(0) = 2, y'(0) = 0

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A: To compute the Taylor polynomial of degree 4 for  centered at .

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A: f(x)=

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Q: er does not exist, enter DNE.) reasing. (Enter your answer using interval notation.) creasing.…

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: Evaluate the integral Scos³ 40 Sin 80 de

A: Given Indefinite integral as follows As we know that

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A:

Q: Find the volume of the given solid. Enclosed by the paraboloid Z = 5x2 + 4y2 and the planes x = 0, y…

A: The region enclosed by planes

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A:

Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

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A:

Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

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A: The side of a square is 10 ft., with a possible error of 0.4 ft.

Q: Determine the derivative with respect to a: In (255)

A: Given, .We know,

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Q: Find the following integrals using substitution. -1 1. fx sin xdx. 2. fcot x In (sin x) dx.

A: To find the following integrals by using substitution.

Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

A:

Q: 7. The arch of an underpass is a semi-ellipse10 meters wide and 4 meters high. Find the clearance at…

A: We solve the given problem by using the concept of the ellipse.

Q: 4 7. Find the equation of the tangent line to f(x) = x5 + √√x³ + v +//w when x = 1.

A:

Q: 9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I…

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A: y"-2y'+y=

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A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: Solve the following homogeneous diffe y"-4y'+4y= 0 »._4y"+л²y = 0, y(0) = 2, y'(0) = 0 x²y" - 2xy' +…

A: Given differential equationwhich is clearly a Euler Cauchy DE

Q: Differentiate. F(x)= F'(x) = e3x 9

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Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

A: From the given graphParent function f(x)=y=x2

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

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Q: Find all relative extrema of the function. Use the second derivative test where applicable. (If an…

A: The given function is

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Q: Solve the initial value problem. dy Ꮎ +y=8 cos 0,0 >0, y(t) = 1 de

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Q: -6 What is the characteristic polynomial of the matrix A = For ease of entry, for this problem we…

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Q: Find dy dy dx by implicit differentiation. tan(x - y) = = y 7+x²

A: Here to find implicit differentiation , we must differentiate both sides of the simplified form of…

Q: Evaluate the following integral 8 ["* e* dx е 0

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Q: 2. Determine d (sin-¹(x²-1)). dx Simplify your answer as much as possible.

A: Consider the function

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Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

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Q: Use deductive reasoning to complete the magic square below: 2       5       8

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Q: 1. Consider the second-order homogeneous linear differential equation, y"+p(x)y'+q(x)y=0 (a) Let y,…

A:

Q: The function f(x) = 2x³ − 42x² + 270x - 7 has two critical numbers. Use the derivative to…

A: we are given the function and we need to find the critical numbers.