Shetch the region in the plane consisting of points whose polar coordinates satsfy the given coordinates. 37T

Q: TOPIC: Partial Fraction Decomposition 1. J: 2х3 —х2+2х-2 dx (х2-2х+2)x2

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Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: dz S- 2ydy , if we let y=Vz+4, then the new integral becomes = y-2 In z+4 - 2 (A) True

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Q: Using homogenous differential equation determine the particular solution of xy?dy - (x³ + y³)dx = 0…

A: differential equation

Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat…

A: Which of the integral is not solved by substitution.

Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: I. Evaluate the following integrals. 1 1. -d.x x(9 – In² æ)5/2°

A: Given

Q: vhether the following series is convergent or diverger (-1)"3n² 4n²–1 (b) n=1

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Q: A box is designed so that 4 cans of soup fit tightly into the box, as shown below. ABLE VEGETABLE…

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

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Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

A: Here, the given series is: ∑n=0∞tan-1(2n-1)-tan-1(2n+3) which is a telescoping series. Let,…

Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

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Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: I. Evaluate the following integrals. 1 d.x J #(9 – In² x)5/2* 1. -

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: Given: Em 00 tanm tan m+1) q. Find the Sum of this Convergent series.

A: Given that ∑m=1∞1tan-1m-1tan-1m+1Solution…

Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: +oo (-1)"n" sin" () ' Σ 2n n=1

A: According to question,Given series,∑n=1+∞-1nnnsinn1n2n

Q: 1 In solving the antiderivative of f(x) 2-3sin(x) by miscellaneous substitution, the substitution…

A: Given problem:-

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: check if the series below is convergent or divergent, thanks!

A: This question can be solved using the concept of alternating series test.

Q: V3 3 9) 9 +x2

A: The given integral,        ∫0339+x2dx

Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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Q: Example 7 Sketch the curves (c) r 0 (0 > 0) in polar coordinates.

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Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: find dy/dx. y= (cosx-pix)^(4x)^5

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Q: II. Consider the sequence (n + 2)! n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Given

Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1

A: Radius of convergence of a power series of the form ∑n=1∞anx-an  is given by R=limn→∞anan+1 For…

Q: Given: y = (3)³ – 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State…

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Q: If sin theta is square root of (x^2 - 4), what is sin 2 theta?

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Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

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Q: A. LIMITS Limr - 25 1.) lim VE – 2 2.):-4t-4 x-5 x-5

A: Here we have to find the limits.

Q: Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are…

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Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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Q: 2. Given: an = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent.…

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Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

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Q: +oo Consider the power series 22n (2x – 1)". n=1 Determine the radius and interval of convergence of…

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Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: