The OT of the DE of the family of circles with center at the origin is (A) x= ky B xy= k x-y=k D) none of the given choices

Q: After evaluation, if | tan 43rdr=–tan³3r – ( ? ) tan3r +r + C, then f ind the missing ( ?) term. 9 1…

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Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 5)²(x – 5)(x + 6)3. (a) What is the remainder…

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Q: Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest…

A: topic- trigonometric ratios

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Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

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

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Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A: The given vectors are: A=0,4,2, B=6,-1,0 & C=3,0,1

Q: Let x = 1.3 and y = 3.22. Determine the value of C when you evaluate cot *(2x)dx. (use radian form…

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

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Q: Evaluate:- 4 dx ④ -VR-4-2sec-1(즉)+c A =/x2 – 4 + sec + C (c) =2/x2 - 4 + sec -/R-4+2sec-1(즉)+c x2. +…

A: Integration

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique. (A True (B) False

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Q: In't dt 1. t(9-In?t)

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

Q: Question 11 Evaluate: (ed"+1) /Ted" + 1)?-4 3x A) None B sec -C sec D sec-1 +C E +C 2 Sec-

A: First we put e3x+1=t and differentiate both sides with respect to t and solve it.

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

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A: Follow next step

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-+dx _which will yield…

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

Q: *dx Evaluate: 3x + 4 A None e 3x, ! sec-1 В +C |

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Q: Question 8 Evaluate: Jcos 2xdx cos³2x + cos2x A + C 2 cos³2x + C 6. cos2x B sin2x sin32x + C 6.…

A: topic - integration

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

A: Given problem :-

Q: x² – 4 Evaluate: O -V-4+2sec-() +c (A + C B = 2/ x2 – 4 + sec + C = /x² – 4 + sec (4) c) + C -Vx² -4…

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Q: Let f(x) = 3x° + 5x² – 43x – 77 be the function graphed here. Click on the graph and expand window…

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Q: (4x²+ 5x+) dx (x+1) (x²– 6x + 34)² By method of partial fraction, the integral can be evaluated when…

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Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

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Q: Find the measure of the angle z. Round to the nearest tenth of a degree. 21 12 8.

A: Given:     Triangle is given

Q: Which of the following trigonometric substitutions is the most appropriate to the intgral - e4xdx -?…

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Q: sin2x cos3x dx=- sin5xdx - sinxdx A) True В False

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

Q: /*[cosh?(2x²) – sinh2(2x²) ]dx is equal to A xdx B 2 x²dx D None E dx

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Q: dx The only solution to evaluate is using algebraic substitution technique . 3+Vx

A: Follow the procedure given below.

Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A sin(3e*) - sin(11e*) + C A 22 1 ⑥ 금sin(3e")+ Sin(11e") +C B 22…

A: We have to evaluate the above integral.

Q: In solving for the antiderivative of f(x) = (9 – x2)3/2 using trigonometric substitution, is…

A: We need to find value of f(θ)

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Explained below

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

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Q: 25.In solving r In(In x) dx , which substitution should be used? O A. u = In(In æ) In a O B. U = Oc.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: The integral expression Jxsin2(2x)dx can be evaluated using integration by parts of the form :UV-…

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

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Q: 9– 4x2 In solving for the antiderivative of f(x) = "using trigonometric substitution, ]f(x)dx is…

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Q: The only solution to evaluate dx is using algebraic substitution technique. 3+ A True B) False

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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: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: 3 Which of the following is equal to sec 2 x tan?x dx to obtain the correct indefinite integral? A)…

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Q: sin(e* ) dx sin - cos( sin-1x) + C 1-x

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Q: f(x) = x4 %3D 1-a4

A: answer is in next step

Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution