Use partial fractions to find the power series of the function. 130 (x2 + 1)(x2 − 25) ∞ n = 0

Q: Below is the graph of y = x² +5. 401 D 30- 20 10- -3 -2 -1 0 1 2 3 4 5 6 The area bounded by y = x²…

A: the area bounded by the curve y=x^2 +5 and the x axis from x=2 to x=5

Q: I = [x² -√3 Jo √3-1² z²+y² 2-√4-x²-y² 2y dz dy dx

A: Here we have to use cylindrical coordinates.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

A: Here the velocity function is v(t)=13-5t   , where 0≤t≤1 (in meter per second). We have to find the…

Q: 1.4 1.5 1.6 Calculate if there is a surplus or deficit after the class outing. What percentage of…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = and y = (Use…

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Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: Consider the region bounded by x=4-1², the y-axis and the x-axis. N 1 1 2 3 4 The volume of the…

A: Given problem:-

Q: A smooth curve C is defined by some vector function R(t) with R (7) 2 = = (π,0,−2) and R' (t) = (2,…

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Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: 1. Which of the following is the solution to the differential equation = y³e²² that satisfies the…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: Proor: Let † and g be one-to-one functions. a) Prove that (a) fog is one-to-one b) Prove that (b) (ƒ…

A: We will prove this using the concept of one to on

Q: 3. Find the domain of f(x) = = 1 - 1- x X

A:

Q: Consider points P(-1, 3), Q(1, 7), and R(-4, 9). (a) Determine the unit vector in the direction of…

A: The objective is to determine unit vector in standard form and as well as component form.

Q: 5. What is odd and even function?

A: We have to define odd and even function.

Q: IV. Fill in the blank to make each statement true. Use correct notations. 12π ¹ (sin ¹25). = 1.…

A: We can solve this as follows:

Q: 2 2 lim √x + 6x - √√x - 8x X-00

A: We have to evaluate limit in this question.

Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: ) Find the formula for bn given by the recurrence bn+1 = 3bn + 2n, bo = 1

A: As per the guidelines I am answering only first question. i.e. (d) bn+1=3bn+2n, b0=1

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (−2,…

A: First we need to find the equation of the quadratic function.

Q: bounded by x² + 2y = 4 and - Sketch the area x+y+2=0 and determine: d) area using using horizontal…

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Q: Sample space S is partitioned into E₁, E₂, E3, and E4 such that P(E₁) = 0.17, P(E₂) = 0.05, and…

A: We have to find the value of P(E4), the odds in favor of and the odds against E4 occurring.

Q: s) Given the piecewise function below, find h(-5) and h(-4). if x < -4 h(x) = { 6x - 7 √x+8 ifx ≥-4…

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Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: 16x4+9y12 (x,y)→(0,0) 4x²+3y6 Show that lim does not exist.

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Q: Thank you for your help! Also, what was the 3rd digit for the 4.04?

A: I think you need all answers having three decimal places. So,i am uploading all the answers with…

Q: 11. (y-x+xy cotx) dx + x dy = 0.

A:

Q: Given f''(x) = - 36 sin(6x) and f'(0) = 6 and f(0) = 0. Find f(1) = [

A: Given the function f''x=-36 sin6x and f'0=6 and f0=0 use the integration formulas,…

Q: • 25 Which of the following graphs represents (+2 30 la T 7 17 T 49 19 15 O . 7 17 T 19 19 15 19 19…

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

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Q: Show that lim (x,y) →(0,0) 16x4 +9y¹2 4x² + 3y6 does not exist.

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Q: If evaluate f f(x) dx = 7 f(x) dx = 8 f2f (x) dr.

A: Topic = Integration

Q: Consider the integral (ln(x))6 dx:

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Q: 2 s x² dx x2-4

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Q: Using the Factor Theorem, which polynomial function has the zeros 5 and 4-5/? Ox²-9x-5x + 25/+20…

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Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

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Q: 3. Find the domain of f(x) = = 1 1 X X 3.3

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

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Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: 뿐 for the following: y = ln(e2z) 0 읊 ○ 2 Oezz ○ ez (In 2)

A:

Q: When a consumer has quantities, ₁ and ₂, of apples and oranges respectively, his utility is given by…

A: Concept: Lagrangian function : The initial problem is reformulated as a result of the link between…

Q: (i) Consider the function f: R\{-2,3} → R defined by 2x³4x²5x - 3 x²-x-6 f(x)= - (a) Prove, using…

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Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. 242/5 b.244/5 c. 148/5 d. 152/5

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Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

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Q: For all x ER, it is known that 1. Find the value of f(2022) (0). +∞o 2. Find the exact value of f(x)…

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Q: Solve p = So (S2₁ Aedx) e dy Evaluate p assuming A closest to your answer: = 2.0 and 8 = 3.0, and…

A: Answer must be option 3.

Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

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Q: Which of the following equations represents a line that passes through the point (0, 1) and has a…

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Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d