Solue D.E dy + (y cotx Sina) de = o

Q: sin (t) -dt 3 (4+ cos (t))?

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Q: 2 [ (e² + 1)² dx et

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Q: 4. sin x dx

A: As you mentioned problem number 4 solved

Q: 3. (2x - 2)dx

A: Follow the procedure given below.

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: The antiderivative of f (x) = Ga“ + 23x – 9 is F (2) = a ln (Jæ + 3|) + b ln (Jæ|) + d In (r - 1) +C…

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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: 2x2 +S

A: We have to check whether the given integral is divergent or convergent.

Q: Solve for the general solution of the following differential equation and determine whether it is…

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Q: - If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³…

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Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: S dy =2/y- 5inlVỹ+ 5| + c Vy +5 A True B) False

A: I am attaching image so that you understand each and every step.

Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

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Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

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

Q: 1 S. xV x¯ – 4

A: =&gt; i have provided this answer with full description in step-2.

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

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Q: ind the sum of the convergent series. +00 3n+1 Z 6n-1 n=0

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

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Q: x² dx J (² – 25)5/2

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Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. X-1 A True B) False

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Q: ystem. help (numbers) 2. (See page 530 of the text.) help (formulas)

A: a) Frequency :  T1= 2π/ω =( 2×22/7) / 14 = 22/49 T2 =2π/ω = ( 2×22/7) / 20  = 22/70 T1/T2 = rational…

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: Given: S 10xe", 2а3 + За2 — 12а, х >0 x < 0 f(x) = + За? — 12х, х a. Find all the critical numbers…

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Q: 7. F- dr from (0,0) to (3,9) along the curve y=x' if F(x, y, z) = 4 xyi + 3xy'j Evaluate

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Q: 1 Given the function g(a, b) = suppose m = g(a, b) where a2b+b a = cd b = c3 + 6d The task is to use…

A: Given problem:-

Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: The given series,          ∑n=1∞3-n4n34

Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: 5. What are the coordinates of the centroid of the area bounded by y = x² +2, x-axis (ory = 0), x =…

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Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

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Q: FALSE if otherwise. Prove your answer. (b) If the power series > an(x + 1)" converges at x = 2, then…

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Q: 10. [ tan 0 de 12.f cos do 3

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Q: f(x) = x²+2x+1 g(x)= x+3 Set up the integral to find the area between the two curves. 1 -3 -2 -1

A: We have to find area bounded by the given curve.

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: 2n Σ (2т — 1)" Vn2 + 1 n=1 Use alternating series test to show that the given power series is…

A: Given the series is ∑n=1∞ 22nn2+132x-1n

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: f(x) = 2"[In(cot(x³))]5

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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

Q: Shetch the region in the plane consisting of points whose polar coordinates satsfy the given…

A: Shaded area is the required area

Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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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: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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

A: Given

Q: log3 r + [Arcsin(5x)]³ 3

A: To find the derivative of given function.

Q: Function f(x) = 3x4 – 4x3 – 12x2 + 5 increasing on interval ... Fungsi f(x) = 3x4 – 4x3 – 12x2 + 5…

A: We know that a function f(x) is increasing on the interval , if for every point in the interval…

Q: The task is to evaluate the function using reversed order of integration. •1 eee-x dx dy 1 Jlny

A: Change of order.

Q: (-1)" V2n² + 5 Given: power series > (x+ 1)" n=1 i. Determine if the resulting series of constant…

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