Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite Differentiate Simplify 5 A. y= 2x В. у- (2x) 7 C. y = 3x D. y = Vx y= Е. у 3 2 F. y = Page 1 I 2 +

Q: | csch2zdz=-In|csch2z – coth2z|+C 2 A True В False

A: In this question we have determine the given Integral is true or false.

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: Convert the point (3,3 7) from polar coordinates to Cartesian coordinates. Give exact values. y =…

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Q: Which of the following is true? cos(x) + cos(7x) ® s Ssin(4x)cos(3x)dx = [s A 2 B) All of the above…

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Q: The integral expression J xsin?(2x)dx Suav=uv-Jvau u can be evaluated using integration by parts of…

A: We have to find integration

Q: dx /3 X-X

A: Find integral

Q: 9.There is no function f(x) such that S f(x) dx = f(x) +C. O A. True O B. False 10.lf the integrand…

A: yhi

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

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

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Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct indef…

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Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

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Q: Using differential method, find the cube root of 600 in 5 decimal places and fourth root of 5000 in…

A: Here we have to find cube root of 600 and fourth root of 5000.

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: Use (8), (t) dr = e-1[ F(s) to evaluate the given inverse transform. (Write your answer as a…

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

A: answer is in next step

Q: Determine constants A and B such that the given piecewise function is continuous for all x. -1 if x…

A: Given query is to find the value of A and B.

Q: Let f(x,y) = C be the antiderivative of F(x) = x<cos(2x), Determine the value of C if x = 35 and y=…

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Q: 1 csch2zdz=-In csch2z – coth2z +C 2 A True B) False

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Q: 2x +1 The antiderivative of f (x): %3D is (x – 3) (x – 2) - - x- 3 A F(2) = 5 ln x – 2 +C - 3 B None…

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Q: me result of the integral in 0 given | V ²– 25 -dy is 5 tane – 50 +C , y A) True B) False

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Q: x2 In solving for the antiderivative of f(x) = (9 – x2)32 using trigonometric substitution, Jf(x)dx…

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

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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: xp, Which of the following trigonometric substitutions is the most appropriate to the intgral . :?…

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Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz B (1+z)² ©…

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

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Q: 3600 = 3600(60 + x) gives a person's average speedi -1 The function s(x) = miles per hour if he or…

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Q: The equation (4x-2y+5) dx + (2y2-2x) dy= 0 is a/an A) Homogeneous DE (B LDE of order 1 c) Exact DE…

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Q: Which of the following is true? A) All for the above ® Ssin°(x\cos*(x)dx = cos (x), cos°(x) cos1(x)…

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Q: То evaluate y?csc?(y³) cor2(y³)dy, we let u =csc(y³) A True B False

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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: (교2 + 4)- (A) None of the above (22 + 4) tan- (E) + x +C 16 (a2 + 4) B f (x) = %3D © f (x)…

A: The objective of the question is evaluate the indefinite integral and choose the correct option.

Q: 2. Solve the initial value problem. Determine the interval in which the unique solution of the…

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Q: Question 18 -미ch2e-coth2e|+C csch2zdz = A) True B) False

A: A detailed solution is given below

Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

A: Solution: ∫sechlnsinxcotxdx =2tan-1(sinx)+C

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: Determine the value of C in on the antiderivative of F(x) = sin (x)cos"(x) for x = 0.108 and y =…

A: See the details solution in below

Q: determine a power series Given the power series representation 1+ 8. representation for In (1+ along…

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Q: Let x = 1.57 and y = 4.55. Determine the value of C when you evaluate J cot-(2x)dx. (use radian form…

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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: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

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: 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: The result of the integral in 0 given 25 dy is 5 tane - 50 +C, y A True False

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Q: 4tan e sec ede tan0-2 tan 0 –15

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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: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

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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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