V. Provide up to the 5th degree Taylor Polynomial of the given function: f(x)= xex by about x=-1

Q: 3. The radius of a sphere ball is measured at r = 25 cm. Estimate error in the volume and surface…

A: The radius of a sphere is measured at r = 25 cm. We have to estimate error in the volume and surface…

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: 5. Find the volume of the solid by the shell method. The solid is obtained by rotating the region…

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Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

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Q: S 2 (2x² + 1) dx

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Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

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Q: 04: Answer two only: (A): IF A-2 10 1-2 -1 Find AB and AC. 3 and C-0

A: Given :A=420210-2-11B=2312-2-2-121C=31-3026-121

Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below:

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x +…

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Q: (B): Find the tangent equation to the curve y = sin²x at point x =

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Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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Q: O IT 3 tan'z sec z dx

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Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: S ³+3 dz

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Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

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Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

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Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: What is the general solution to y² tan(x) dy = sin(x) dx o y = √3 sin(x) + C o y = -√√3 cos(x) + C o…

A: Here we have to solve the differential equation.

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

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Q: 1. Solve the differential equation dy dx + 2 Y sin r 22

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. cos(A) 0.49 X…

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Q: Find the general solution to: dy X xẩy = xảy x²y d y = o y = Cet² ° y = Cezx² ○ y = ex² ez x² + C…

A: We need to find out the general solution of the differential equation.

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

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Q: Find all the values of x such that the given series would converge. (x-8)" 8n n=1 The series is…

A: We will use ratio test.

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

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Q: If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det…

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Q: In 100 yrs, 132mg of radium decomposes to 96mg. How many mg will be left after 200 yrs?

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Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

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Q: Evaluate the indefinite integral. √2² √11 + x³dr

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Q: Simplify the following with out 1) -5, 3+1 using the denominator

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Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or sin(8n) Σ 47 n =…

A: We will use Ratio-Test to find convergence

Q: 0/= log10 (x) dx

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Q: given u= and v= find the projection of u onto v

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Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

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Q: parametric

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Q: Question 5 Test the series below for convergence using the Root Test. 5)₁ ∞ n=1 f(n): 3n 6n + 5 The…

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Q: given u = and v= find u*v

A: To find out the dot product u*v