What is f 2sm z cos e sin x dæ? 2sin z +C In 2. 2sin z +C In 2 2cos z +C O A. O B. In 2 20os z +C D. In 2

Q: хcos(x) is If x =0.62 and y = 0.43, then value of C in the antiderivative of F(x) = V1-x² (use…

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Q: Find a power series for f(x) = ln(1+x^4)

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Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: xcos-1(x) If x =0.97 and y = 0.85, then value of C in the antiderivative of F(x) = is (use radian…

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Q: In tan"u du where n is any integer, we use the transformation for tan²u= sin²u cos?u

A: ∫(tan2u)du then put x=tan(u) then u=tan-1(x) and du=dxx2+1

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

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Q: Convert the point (-7 3, 7 V3) from Cartesian coordinates to polar coordinates for 0 <0 < 2m. Give…

A: The given point -73, 73

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=1 3-2x and y=2 ?…

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Q: Which of the following is equal to sec 2x tan³x dx to obtain the correct indefinite integral? A x-…

A: The given integral,        ∫sec32x tan3x dx

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: Using reciprocal substitution x=-, the integral -dx reduces to (z- 1) 1/3 © -/t- dz 1/3 © - /(?-1)…

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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: Question 7 By algebraic substitution, the integral dx dx is converted to: 4+/x dy A) y+4 ydy B Jý+4…

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Q: The general solution of xty= -x³y- csc(xy) is 2x?cos(xy) – 1= cx B 2x?cos(xy) +1= cx? (с) -2хсos(xу)…

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Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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

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Q: Use the given information to find the indicated probability. P(A U B) = 0.8, P(B) = 0.5, P(A n B) =…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

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

A: This is a problem of Integration of the function. Based on the general formula we will answer the…

Q: To begin evaluating sin*xcos xdx conveniently, express: A sintx as (sin?x)²and use the identity…

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Q: In Problems 11-15, verify that the indicated function is a solution of the given differential…

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Q: 13. y" - y'- 12y = 0; y = Ae** + Be-3*

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Q: Which of the following will yield an inverse trigonometric function?

A: answer is in next step

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

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Q: 25 -x2 -dx, if we let u=/25 – x? , then udu =- xdx. In A) True B) False

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Q: 2- /2x+1 Let F(x,y) = C be the antiderivative of f(x) = .What is the value of C if x=17 and y=11?…

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Q: Question 12 is 2V5 – Sin|Vã + s| + C. Vits dx The antiderivativeof |- 5ln x +5 A) True B False

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Q: The equation (tan?x+3y?) sec?xdx+(3tan?x+y²)dy=D0 can be solved by A Bernoulli's Equation DE with…

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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: 2x +1 (3x – 1) (a2 + 2x + 2) Evaluate: -da J A F(x) 2 In (|3x - 1|) + In (a2 + 2x + 2) – 4 arctan (x…

A: To find the integral

Q: x dx is equivalent to If we let u = V 5+x, the integral 5+x A) u (5- B |u(u²-5) du (C | 2(u²- 5) du…

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Q: 1 Solve the integral: dx x +x + x +C © anls+c B 6ln 5+ x° + C + X + C + X +C (E) None of the given…

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

A: To find whether given integral can be solved only by algebraic substituion technique

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: Consider the alternating series (-1)"bn with n=0 1 bn 9+ 5n2

A: answer is in next step

Q: Solve the integral: Vx + x A x ³ | + C B None of the given choices 6ln|5+ x 6|+ C + C E) +C

A: We need to evaluate the integral.

Q: To begin evaluating sin*x cos x dx, express 1+ cos2x cosx to (cos?x)^cosx and use the identity…

A: We have to find out

Q: dæ Evaluate: A f (x) = -3 ln (|1 – V¤) + C B) None of the given choices f (x) = 3 ln (| V – 1|) +C f…

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Q: Question 13 sin2x cos3x dx = sinSxdx - sinxdx 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: List all possible rational roots for the function f(z) = 7x* – 4x – 5z² – 6x + 119. Give your list…

A: givenf(x)=7x4 -4x3 -5x2 -6x +119

Q: Question 15 The x²-4 dx can only be evaluated using trigonometric substitution technique . A True В…

A: Follow next step

Q: e4x dx ? (4e2x + 9)/2 Which of the following trigonometric substitutions is the most appropriate to…

A: integration if it is helpful please like it

Q: Use finite approximation to estimate the area under the graph of f(x) = 9x and above the graph of…

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Q: What is the general solution for following differential equation? y′+2=−2x (Do not include the "+C"…

A: Follow the procedure given below.

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

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Q: Find 2f (x) dx jf f (x) dr=2 and f (x) dr= - 6

A: We have to find out

Q: xªdx Using trigonometric substitution technique, the simplified integral after substitution is: A…

A: Given: integral∫x4x2-4dxwe know that sec2θ-tan2θ=1sec2θ-1=tan2θsubstitute x=2secθ…