1.5 3-X Evaluate the integral *dy dx using polar coordinate

Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: Determine if the improper integral converges or diverges. Find its value if it converges. Show…

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Q: Find the sum of the convergent series tan - ( m til tan M=1

A: This is a telescoping series.  Whose sum is  2/π

Q: Find the complete solution of the differential equation using separation of variables dy 2х + 2ху?…

A: Given

Q: Solve the following equation: 16ª = 8ª+1 O 3 O-3 O 1

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Q: 3 < x < 2/3 < x < 3/2

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

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: given series is convergent 2"

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Q: Find the second-order partial derivative fry (x,y) for the function, f(x, y) = 4x3 - 5x?y-3y + 9

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Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

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Q: x- y' + 3, x - 0, y=-2, y 1 Find the volume of the solid that results when the region enclosed by…

A: Point of intersection:x=y2+3x=0-2≤y≤1Volume of solid of revolution:V=∫cdA(y) dyA(y)=π[outer…

Q: (-1)" Given: power series (x + 1)" 2n2 + 5 i. Determine if the resulting series of constant terms…

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Q: the Q2, Find hergth of o polor Curve ア= B4 Use this formula dr de

A: Given:  The polar curve is given byr=eθ2 To Find:  To find the length of the given polar curve by…

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

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: Determine if the improper integral La dx converges or diverges. If it converges, find its -1 (1-e*)2…

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Q: Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false…

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: 22n Σ (2л — 1)". - Vn² + 1 3 n=1 Use limit comparison test to show that the given power series is…

A: Solving

Q: The temperature (in degree Celsius) at a point (x, y) on a metal plate is given by a function T(x,…

A: T=Tx-yTyTo Find:a. Suppose T(4, 6)=320C and Tx(4, 6)=20C. Use the linearization of T at (4, 6)  to…

Q: x + 2, untuk x 3 The following statements are true, except x + 2, untuk x3 Pernyataan dibawah ini…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: 11. Find dy/dx of In(x² + y²) + 2 arctan

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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: 1-5 by Partial funtron x-16

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Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: 2. Use integration by parts to evaluate the following. (a) Sx tan- x dx

A: LetI=∫xtan-1xdxApply integration by…

Q: Let g be a differentiable function of x, and let the range of g be an interval [a, b]. Let f be a…

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: 10n? + 18 7n2 + 16n + 21 n=1

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Q: de Evahuale integ. w) partiar frac. calcu larors no

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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 vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

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Q: Given the integral of S cos² x dx,

A: O integrate the given function.

Q: Consider the following. f(x) = x4 + 6x² – 27 (a) Write the polynomial as the product of factors that…

A: The given polynomial is f(x)=x4+6x2-27 ........................................ (1)

Q: Osyt . yrosx

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Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: 24 3y7 ts dy

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. f(t) = t? cos 2t.…

A: Answer is in below steps.

Q: Find fy (x,y) if f(x.y) = (x° +y®)* fxy (X.y) = %3D

A: Topic = Derivative

Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: | 3xV3x2 + 4 dx = -. 2 (3x2 + 4)V3x² + 4 + c 3 1. O -;(3x? + 4)V3x2+4 + c 2. O 1 (3x² + 4)v3x² + 4 +…

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Q: /2n?

A: The given series is: ∑n=1∞(-1)n(-1)n2n2+5=∑n=1∞(-1)2nn2+5n2=∑n=1∞1n2+5n2

Q: (-1)"n" sin" () Σ n 2n n=1

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Q: Using the squeeze theorem, find the value of lim,0 x² sin=) O 1 O -1 O does not exist

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Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

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Q: 5. y = Arctan²(x³) 6. y = Arccos (

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