1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges, or diverges. 2. Determine the interval of convergence.

Q: The area bounded by the x-axis, y = x², and y = 2 - x.

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Q: Activity 6.1.3. In each of the following problems, our goal is to determine the area of the region…

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Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: Determine the indefinite integral below. S(9x+4)²dx. (9x+4)²dx =

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Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

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Q: Consider the following all-integer linear program. Max 1x1 + 1x2 s.t. 5x1 + 7x2 ≤ 37 1x1 + 6x2 24…

A: As per the instruction, we will be answering the first one. Kindly post again for others. Given:

Q: (2x²-10a+15) da Integrate: f gở ba tô 2x+3 ln()+ +C n(²²³)+c +C 3 In O2a +3 ln()+ ○ 3 ln() + C o +C

A: We have to integrate ∫2x2-10x+15x2-5x+6 dx.

Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C None of the choices cos" (2x)…

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Q: z = √xy, dz dt t², y = -t² then 2 2 2t²) =?

A: We have to choose the correct option from the given options according to the given information

Q: Explain why A -[-8=2] and 18 B 6 form a linearly dependent set o (Solve this problem by inspectic A…

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: If y = x?, then dy = a Ο 2 Δε Ο 2 Δy Ο 2 Δε Ο π*Δy

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Q: 2x² + 5x-1 x³ + x² 3 -dx x² – 2x

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Q: Evaluate L 8y (x³ + 1)² 2y by reversing the order of integration. dady

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Q: Which of the following is the partial derivative with respect to x of the function f(x, y)= 4xy + 7x…

A: Given problem:- f(x, y) =4xy+7x+6y-ln(9xy)   To find :- fx(x, y)

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: The following limit Select one: O O equals 16 3 equals 0. None of them O does not exist. O equals 3…

A: This question is based on two variable limits.

Q: 253-45-8 (5²-5) (5²+4) 253-15-8 s(5-1)(5²+4) Focusing on 5(5-1) (5²+4) A+B (3-1) S on denominator +…

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

Q: 2. y²dx + (x² − xy - y²)dy = 0 [Answer: (x - y)y² = c(x + y)]

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Q: Evaluate f cosh² x dx đ (sinh 2 từ t + x) + C O 2r O2e² +42 + C 8 O None of the choices…

A: We have to evaluate  ∫ cosh2(x) dx

Q: If f(x, y) = x²y + cos(x) then (fx, fy) = (2xy + sinx, x²). Select one: O True O False

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Q: 1= z In zdz

A: Given, ∫ xlnxdx

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, x3. f(x) = x² - 6x + 4, xo =…

A: We have to find the x1, x2 , x3.

Q: Find the general solution of the following differential equation. y” + 5y′ − 14y = 0 NOTE: Use c₁…

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Q: Let z = √√√7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2. ds

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Q: f(x) = log(x)+x g(x)=In(x-1)+7 X -10 (1.002.1.004) (8.047,8.953)

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Work problem 2 (1 Let w(x, y) = 5x - 5y - x² + 5y³, x = cos(t) and y = -sin(3s). Use chain rule to…

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Q: P₁: -60x + 90y + 120z = 29 P₂: 4x - 6y - 8z = 5 P3: -20x + 30y + 40z = 4 P4: 12x18y + 24z = 9

A: Follow the procedure given below.

Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co). f(x)…

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Q: Solve -2-55ds a. Ob. 2-5s In 32 C. 25s 5 ln 2 d. 25s 2 In 5 2-5s 2 In 5 +C +C +C +C

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Q: The function is continuous from the right at x = 2. Select one: True False f(x) = x+ 2 x². x < 2 x22

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Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: ZOOM Find the following for each problem: a) domain, b) x-intercept(s), c) y-intercept, d) vertical…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: In(t³ r(t) = 4 lu(t²+1); - (4e-2 - 5e"); _ sin³t 5e²t)j -k, + 1 t3 then the limit lim r(t) equals…

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Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

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Q: 01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

A: This question can be solved using the concept of definite integrals and modulus function.

Q: A screen saver displays 3 cm x 5 cm and then expands it in such a way that the length of the longer…

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Q: (x¹+y¹) dx - xy³ dy = 0 [Answer: y = 4x¹logx + Cx¹]

A: This question is based on Homogeneous differential equation.

Q: Find the smallest number of terms of the series Σ1 partial sum sn is within of the sum. 1 100…

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Q: Work Problem for the question. Let where x = t = -1. You must provide a clear and detailed solution…

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Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: Let z =ellxy-56y and x =5616 + 6 and y =sin(s + 56). Use the дz дz Chain rule to find and dt - дл

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Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

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Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

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Q: Let g(t) = cos (nt). Compute the average value of g(t) over the interval IN

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Q: Using Linear Approximation, estimate Af for a change in x from x = a to x = b. f(x) = ln (x), a = 1,…

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Q: π/2 The integral f/2 So sin drde is equal to cos O-1/2 O 1/2 0 1 00 10

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Q: Find 7 sin (7x) dx

A: According to question,Given Integral,Let I = ∫7 sin27x dx

Q: Evaluate: ffefdxdydz 0-1/1 O 01/12 O-1 S

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