Find the surface area of the part of the plane z = 2 + 5x + 3y that lies inside the cylinder x² + y² = 4

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A: We will solve this question by substituting the value of 3x.

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Q: Use Green's Theorem to evaluate Calculator Jo F =√x + 5y, 2x + 5y) C is the boundary of the region…

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A: We have to graph the function.

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Q: 2. (600) A linear second-order differential equation is given as y" + 3y' + 2y = 5e¯* + 10 sinx a)…

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A: We need to solve the given system using Cramer's Rule: 8x=322x+4y=0

Q: Part 1: Partial Fractions Use the partial fractions method to express the function as a power series…

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Q: In problems 4-7 use the definite integral to find the area 少 y=√x 4. x 5.

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A: fx=sec-1ex

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Q: 9.3 Find the directional destive of f(x,y) x²x4²x4² at (1,1) in the direction of √(3,4)

A: Find the directional derivative of f(x, y)= x3 y4 + x4 y3 at (1, 1) in the direction of v(3, 4).

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Q: The goal here is to directly evaluate x² y² 16 4 First, determine a parameterization for C: r(t) = (…

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Q: F(x)=√x² about x = 16 using te Legler Series what be the first three tems. LAXE

A: fx=x Taylor series at x=afx=f(a)0!x-a0+f'(a)1!x-a1+f''(a)2!x-a2+f'''(a)3!x-a3+.....

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A: The cost function Cx=-19x2+70000x+20613 dollarsThe Revenue function Rx=-24x2+220000x dollars

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: D) -ex (4x³-9x² +7x-3)+e-*(12x2 +18x + 7) + C 9x² + 7x+3)-e-*(12x² 18x-7)+C (2) The value of fo…

A: Note:- As per your demand we solve question 2 for you  ∫02πsin5xcos3xdx

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Q: x + 2 x²-4 For the function f(x)=- lim, f(x) find the limits.

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Q: 14x In 14x In (5x)dx for x > 0

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Q: 3. y' + y tan x + 1 = 0

A: Firstly find integrating factor and then General solution.

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Q: Find the derivative of y= SHOW all the steps (3x³ +7)5 (e³x) √√4x²+1 using logarithmic…

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Q: 1. Sketch the region enclosed by the given curves and: y = x, y = x² - 2x Graph the bounded region.…

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Q: Find the area of the surface generated when y=2√ x from 1≤ x ≤ 4 is rotated around the x-axis.

A: Find the area of the surface generated when y=2√ x from 1≤ x ≤ 4 is rotated aroundthe x-axis.

Q: nd [ 2³² 2 x²z ds, where C' is the line segment from (0,3,-2) to (-4,3,-7) Find

A: Given line segment is from (0,3,-2) to (-4,3,-7). To solve this problem we need to parameterize the…