1. Determine if each series converges or diverges, you can use any of the tests discussed in class. If a series converges, find its sum. Not all of these series are geometric 3" a) E ,1+3" 2" • 3*- c) 3 4" W?

Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: A region bounded by f(x) = 1 1 x-5 , y = 0, y = 2, and x = 0 is shown below. %3D Find the volume of…

A: A region is bounded by f(x)=12x-12, y=0, y=2 and x=0

Q: K to to Match each equation with a graph above O 2(0.72)" a. blue (B) O 2(1.2)" O 2(0.81)" O 4(1.2)"…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x<cos(2x), Determine the value of C if x = 35 and y=…

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Q: Find the area in square units bounded by the following: (Show graph and detailed solution. Box final…

A: To find the area bounded by the given curve and x axis.

Q: x?y" – 2." 3 2xy' + + 2y = x° sin x

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given problem:-

Q: Solve for æ: 109z - 2 = 710z – 6

A: To solve for x.

Q: y′=5ex−6x3−3x2+3 y(0)=−8 Solve the initial value problem above. Do not include "y=" in your answer

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Q: Find the general solution using separationof variables y = re" y = 5ry – 2r Solve r dy = y +1 and…

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Q: Use partial fraction to find the integral 3-x 3ペ-ペート

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Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,4​).   8x2−y3−8=0

A: The given equation is 8x2-y3-8=0. Obtain the derivative y' using implicit differentiation as…

Q: A region bounded by f(x) = 2x-2, y = 1, y = 4, and x = 1 is shown below. Find the volume of the…

A: A region bounded by fx=2x-2, y=1, y=4, and x=1 is shown below.To find the volume of the solid formed…

Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 - -x + 3y + z = 7 Find the normal vector,…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 3t, y =…

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Q: y(x) = tan3x² + In(5x*)

A: Given problem:- y(x) = tan((3x2)(1/3) +ln(5x4))   To find:- find dy/dx of following functions by…

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

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Q: Evaluate the following indefinite integrals. Show all the necessary solutions. 4. Ssin'x cosʻx dx

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Q: 00 1 Given the power series representation determine a power series representation for 1+ 7 n=0 In…

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Q: f2ox²-40x+3 x'- 2x Evaluate.

A: Topic:- integration

Q: a b b -b ) Give the determinant of the matrix A = d e -e Lg h -h]

A: Given query is to find the determinant of the matrix.

Q: Q)find the inverse Laplace transform -2P (P+1)* 2. (2) 2. (P²-1)2

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Q: The integral expression Jxsin (2x)dx can be evaluated using integration by parts of the form Judv:…

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Q: 3. Scscx dx Csc°x

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Q: y(x) = tan(V3x² + In(5x*)} - In(5x'

A: Given,           yx=tan3x23+ln5x4To find : Find dydx of following functions by using Chain Rule.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 6t, y = 8 –…

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Q: Exercise 1: Express an inequality statement that relates HI and 1. 19° G I 26°

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Q: find the derivative of f(x)=x/(x+2) using the limit definition of a derivative

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Q: ) Given f'(x)=12.r -4r+8, and f (3) = 1000 find f.

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Q: 3. a) Use the sum of the first 10 terms to estimate the sum of the given series. n-1 b) Improve this…

A: We have to find the sum and improve the estimates.

Q: Find the polynomial function f with real coefficients that has the given degree, zeros, and solution…

A: This question is based on roots of a function.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

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Q: (x² – 9) + xy = 0 dx

A: We have to solve the differential equation x2-9 dydx + xy = 0

Q: Given G = {a | a EN and 368 < a < 400} %3D G has subsets. G has proper subsets. Add Work

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Σ 1 n5+1 n=0

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Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: B) Use separation of variable or homogenous equation to get the general solution for each…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation in slope intercept form is given by:y=mx+cwhere m=slope, c=y-intercept

Q: B) Use separation of variable or homogenous equation to get the general solution for each…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 %3D y + 5 =…

A: The given question has been solved in detail.

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

A: Here is the solution

Q: What's the difference between finding the difference of the tangent line, and finding the tangent…

A: What's the difference between finding the difference of the tangent line, and finding the tangent…

Q: Let A=[0 1 0 0 0 1 4 -17 8 ] Show that x = 4 is a root of det(A - xI) = 0. Hence find the other…

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Q: u さx Jx (x+6) 18Evaluate: fo

A: We need to evaluate : ∫0∞4xx+6dx

Q: Determine whether the following equation represents exponential growth or exponential decay.…

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Q: A region bounded by f(x) = 3- x, y = 1, and x = 0 is shown below. Find the volume of the solid…

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