Using the miscellaneous substitution 2=tan match the integral expression on the left to its appropriate transformation on the right. Prompts Submitted Answers

Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=11 and y=5 ? (use…

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Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 | (A) - 4 B None 3 D -3 (E 4

A: Explained below

Q: Question 18 (x+1)dx If JT+2)(x-1)² B 1 2 |dx ,the values of A & C respectively are (x-1)2 9 3 x+2…

A: We need to find value of A and C.

Q: Find the linearization L(x) of the given function for the given value of a. f(x) = 9/x, a = 27 %3D…

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Q: Which of the following is true? @ Ssin*(x)cos³(x)dx = - cos°(x) , cos®(x) cos(x) cos °(x) 6 4 10 ©…

A: answer of A:    Answer of B:

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the high…

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Q: The given DE: (2y3-x3) dx+ 3xy²dy3D0 can be solved by: A 3 methods B 2 methods 1 method D 4 methods

A: Let's find.

Q: aluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: In’t dt 1. 2(9–In²t)' 4 tan e sec ede tan0-2 tan 0-15 2 2.

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Q: 9-4x2 In solving for the antiderivative of f(x) = using trigonometric substitution, is transformed…

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Q: Let x = 1.84 and y = 3.72. Determine the value of C when you evaluate cot *(2x)dx, (use radian form…

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Q: /x[cosh?( 2x²) – sinh²(2x²) ]dx is equal to (A) x?dx B) None © Sar dx (D 4 xdx E xdx

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Q: V9-4x2 In solving for the antiderivative of f(x)= x2 using trigonometric substitution, Jf(x)dx is…

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Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: The orthogonal trajectory of y = ce* is a parabola of the form y = ax+b. Find the values of a & b so…

A: We are asked to find the value of a and b

Q: If h(x) = | cosxdx and h =4, then h (0) is equal to A B 4 C) -4 (D) -3 E) None

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. P+1 dt (Express numbers in…

A: Evaluate the integration using the fundamental theorem of calculus.

Q: The 4 dx can only be evaluated using trigonometric substitution technique. A True B False

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Q: Let x = 1.19 and y = 2.02. Determine the value of C when you evaluate cot *(2X)dx.(use radian form…

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Q: Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t)…

A: To find the area between the parametric curves

Q: (x+1)dx If (x+2)(x– 1)² A B 2 + dx ,the values of A & C respectively are x - 1 (x- 1)² . 9 3 x+2 (A)…

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Q: (9xª –10) where "a" is equal to ) = - is F (x) = 30 choices

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

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

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Q: Find the slope of the tangent line to the curve below at the point (6, 8). V3r + 4y + V2ry…

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Q: (3x2+ 8x - 12)dx In the complete factored form of the denominator is x(x+4) (x+3). x3+ 7x2+ 12x A…

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form Judv =…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 88 and y=…

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Q: x/4 The definite integral sin24x cos2x dx is equivalent to x/2 1 -sin20 cos20 de A x12 2sin20 cos40…

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Q: In t dt 1. 1(9–In²r)*

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Q: Question 11 sin?u In tanmudu, where m is any positive integer, we use the transformation for tan?u=…

A: Here we have to check whether the transform is true or not.

Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 х — 1 is x =

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Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

A: Let's find.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 1, (1, 4) Vf(1, 4) =…

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Q: S "sin(em sin-3) dx – cos( sin-!x) + C 1-x2 A True B) False

A: SOLUTION-

Q: A camera is set up at the starting line of a drag race 60 ft from a dragster at the starting line…

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Q: Insec2 (sin2y) dy e Which of the following is one of the correct steps to evaluate the sec2y

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Q: Question 3 x+6 is divided by x-1 4x+24 The restrictions on X, when can be written in the form 2x2…

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Q: Problem 10.2.3. We can modify the proof of the case f(a) v > f(b). However, there is a sneakier way…

A: Proof

Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: x*dx Using trigonometric substitution technique, | the simplified integral after substitution is: x²…

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

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Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: If h(x) = cosxdx and h =4, then h (0) is equal to 4 A 4 B C -4 D E) None 3. 3.

A: Given query is to find the value of the integral.

Q: Which of the following is true? O Scos(3x)cos(4x)dx= [ r cos(x) + cos(7x) dx B Jsin(3x)cos(4x)dx= […

A: Option D

Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: sec ede 2. tan' 0+9 tan e

A: