S sin³x vcos x dx 2 Vcos7x + Vcos³x + C |cos³x 2 Vcos³x + C B 2 Vcos"x -Vcos?x + C Vcos³x + C none of the choices O A

Q: Work Problem 1 (With integrity statement] ( Let R be the region bounded by y-x+2, y=0, and x=2. Draw…

A: Given; I=∫∫R-2ydA And y=x+2, y=0, x=2   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: In fx³Vx²-62 625 dx , if we let x = 25sece , then dx =25secede. True False

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Q: csc*n y 7. S dy cot²n y

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Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

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Q: Q3 Find y ン ニ月(^)→ t(メッ) tanx 2 y-(1+x)

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Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

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Q: dx J Evaluate: (x-4)(x-1) A None of the given choices 1 B x-1 +C X-4 (c) x-1 3ln X-4 + C 1 D X-4 + C…

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Q: 1.5 3-y Q1) Evaluate the integral dx dy

A: To evaluate the given integral.

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: Write Tif the statement is true, or F if it is false. Write your answers on the blanks. dx x +C 3 2.…

A: 1.∫5x233dx=∫53x23dx=53x5353+c=x53+c1. T2.∫-45x544dx=-45x944×49+c=-5x94+c2. T

Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

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Q: DO NOT include spaces in between characters. * Using implicit differentiation, find the slope of the…

A: We can solve this as follows:

Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: 12t – cos 31) dt sin7t sin4t dt = A True B False

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Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

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Q: S cot®x csc°x dx Gcot'x -cot"x + cot":) + c B none of the choices Gcot"x - cot "x - cot":) + c…

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Q: Find volume of body bounded by z 0 from below and z = 4 - y from above inside y = x2 ,y = 4 .

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Q: 00 sinde 2ode Estimate the slope of the tangent line. (b) what are the.units of measure for the…

A:

Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Q3) Evaluate triple integral , dz dy dx.

A:

Q: dx = x +C 3. 45x dx = -5x +C 4. 12V dx =-x+2x' +C 4x + 35x 4. 4 +8x dx = -5xi +C 4 28x 15x dx = 4x+-…

A: The integration of the integral  35x3/4/4 +8x-3.

Q: DO NOT include spaces in between characters. * Find the value of at the point (0,1) given the curve…

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Q: 2 2 y 6 L72 L48 yzdxdzdy =

A: Topic = Integration

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

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Q: Find the general solution of the following differential equation: y" + 4y" + 4y = 0. %3D

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: For item # 6, use the product rule. 6.) f (x) = (x³ – 1)(4x + 5) %3D | x+3 7.) f (x) = 5х-2

A: Here we have to differentiate the given functions.

Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

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Q: J1 (3x -1)3 * tvt2 +1 dt

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Q: Use the Trapezoidal rule with step size Ar = 1 to appoximate the integral f(x)dx where a table of…

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Q: Question 2 Evaluate: J y* sech (e m)tanh (e ), 7Iny @ -ch(v^) +C B) None -ech-(7) +C 7 ® ech (»*) +c

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Q: Q2 Find the limits 1- lim h +h cosh thcosh Sinh.cosh J4ズ メラ 2x-8

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Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: 2x + 1 Evaluate: (3x – 1) (x² + 2x + 2) 2 In (|3x – 1|) – In (x² + 2x + 2) + 4 arctan (x + 1) +C A F…

A: Find your answer below

Q: 9 – 4x² -da | Evaluate: (A) f (x) = V9 – 4x² + 2 sin () +C B None of the given choices f (x) = /9 –…

A:

Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is V4- x²…

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: dy Find given x' +y =8.y. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Topic = Derivative

Q: 2BVC = (12x - 24)° and mZEVD = (2x + 15. What is m2CVE ? THAM V. A D. Find the missing pieces.

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Q: A line is drawn through the point (6,4,2) perpendicular to the yz- plane. Find the coordinates of…

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

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

Q: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: 5xy = 4x²z – 3yz²; yx and yz.

A:

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.