Use the Comparison Test or Limit Comparison Test to determine if the series converges. n² Σ.. n² + 4 Diverges O Converges

Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: • We have 3 tan ³ = 3 O What's the value of Explain in detail 0?

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Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

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Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then f xy = -10x e5y True O False O

A: I have stated the used formulas in the solution.

Q: 2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p…

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Q: 1 Use the identity sin²x = to obtain the Maclaurin series for sin² r. Then differentiate this series…

A: Here is the step by step solution of ques 4.

Q: Q17 Suppose f(x) Is find f(e). Choose a) 3 b) 1/3 a Solution of your c) 1 d) answer 9 2 y'= (y+3)² x…

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Q: Find the following limit or state that it does not exist. lim X-2 V x-2 2x+5-3

A: Solution of given question is written in below steps.

Q: The value of the definite integral 3 [²³ is Select one: O -30 (3x² O 45 O 6 O 30 O none of the…

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Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

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Q: г 3x +4 x3их н dx

A: We can find and explain the answer with proper reason as below.

Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Show that the following equations have at least one solution in the given intervals, rcos t 2x² +…

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Q: 2. If F and G are differentiable functions such that F'(x) = G'(x), which of the following is true…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy²dady where R is the region…

A: Let's solve given double integral.

Q: Rewriete rhe following equations into standard form amd dentify the vertex, focus, axis the…

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Q: The definite integral is equal to Select one: 0 0 O 2 [² ¹ 2xdx +f₁²2xdx none of the others 4 ¹ 2xdx…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount…

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Q: 1. Find a result by using variable separation 101 b- y³y+x³=0

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Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: For a person learning to type, the number N of words per minute that the person could type after t…

A: We have to find rate of improvement as per given question.

Q: If S₁₁¹-² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the resulting of…

A: Let's solve double integral.

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5using 4 approximating rectangles and…

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Show that the following equations have at least one solution in the given intervals, b. (x - 2)² -…

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Q: 3. I Graph of f Graph of g The graphs of the functions f and g are shown in the figures above. Which…

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Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: 1. ƒ'¸ (3 - 2x)³ dx

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Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1

A: This question is related to double integration, we will solve it using given information.

Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: 2 S Sec'x In cotx) dx

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Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: 20) If 8 is an angle with terminal side in 4th quadrant such thatv tan 9 = a) O b) O c) O d) O then…

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Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: If 2 [². then is equal to f(x)dx = 5 and Select one: O 15 O-5 O 10 none of the others -10 5 [³ 5 1₂…

A: We can find the correct option as below.

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

A: Due to some technical inconvenience I cannot type this answer in Math type I am providing you the…

Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Take away 7 sets of 8 from 9 tens

A: Concept: Subtraction: The act of subtracting one number from another is called subtraction. The way…