Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following functions: (chose three only) dx and t = 1-X =

Q: 2 cy² = x² + y

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Q: [3 37 tan5 x sec4 xdx Х

A: Given:

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A: Since, we have been asked to solve Part-C in which we have to evaluate the integral given…

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A:

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: A solid of revolution is formed by revolving about the x - axis the region bounded by the curve y =…

A: Topic = Volume

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A:

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A: see below the answer and explanation

Q: -2 S² g(x) dx -6 if g(x) is an even function.

A: We need to evaluate integral.

Q: 1. (1) E (14) (1) Choose the correct option (Multiple Choice Questions): Which of the following is a…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

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A:

Q: 4. 4 1 [x²ydxdy 20

A: The objective of the question is evaluate the double definite integral.

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: The objective of the question is evaluate the indefinite integrals.

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A:

Q: Find the distance between the pair of points (2.5,8.2) and (-0.5,5.2). If necessary, express the…

A:

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

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A:

Q: (C): If w = tan x and x = 4²³ +t: Find?

A:

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(0) and y = r sin(0), and note that (x,…

A:

Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

A:

Q: J 24 tan3 xdx

A: topic- indefinite integral

Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: 1. Find the equation of the circle passing through the points (1, 5), (-2, 4), and (10,-2).

A:

Q: 2x+3 (2x² + 6x − 1) b. f 1)s dx

A: B only Integrals by Substitutions

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A: Given, ∫02∫03x2-6xy3+5y4dxdy

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A: We have to find out equation of tangent

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A:

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: If R is the region bounded by the graphs of the functions f(x) = 2 + 5 and g(x) = x + ½ interval [1,…

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Q: Compute the curl of the following vector field. F = (4x²-3y²,5xy,5z)

A: We have to find out solution

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A:

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Find f if f"(x) = 2 + cos(x), f(0) = -1, f(π/2) = 2. f(x) =

A: Find f if f"(x)= 2+cos(x), f(0)= -1 , f(π/2)= 2

Q: dw (C): If w = tan x and x = 4t³ + t ; Find ? dt dy

A:

Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: Solution

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: 1 2 Identify the true statements. Incorrect 3 4 56 f(1) is a local maximum. f(5) is a local maximum.…

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Q: In Problems 17-26, solve the initial value problem. dy y(0) = √3 dx y' = x³ (1-y), 1 dy 2 dx dy…

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Q: √ grams/cm² and occupies Find the mass and the center of mass of the lamina with density 8(x, y)=-…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

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Q: STJ (x (x + sin x) dx Jo

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Q: A-Find the intercepts, the symmetry for the polar equation r = cos20 am draw it.

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Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: Solve using variation of parameters: y" - 2y + y = e¹/(1+1²) + 3et p= ₁ ² + ₂ tet (Use 2 decimal…

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Q: If f(x) = 1/√x, use the definition of the derivative to find f'.   You must show ALL of your work…

A: The given problem is solved below in detail.

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A: The given set,     S=1,2,3,4, 1,0,1,2,3,8,11,14

Q: Sketch the plane curve. r(t) = 3ti - tj, [0, 3] y O 2 1 -1 -2 y 3 2 - -1 -2 2 4 4 Find its length…

A: This question is related to vectors and parametric equations, we will solve it using given…

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j+5k 4i + 5j-6k ;

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Q: 3. 2 洲 dx

A: