Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A 1/2 B 3/8 C) 1/4 1

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Q: Exercises To Solve [No.5] 05² dx 3dx x²+²x+5 9x²6x+5

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Q: dx 3-2x-x² L

A: According to our guidelines we can answer only one question. Other questions can be reposted.

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: Use cofactor expansions to evaluate the determinants in Prob lems 1-6. Expand along the row or…

A: Please see the answer below.

Q: QUESTION 6 Suppose m and n are constants and m‡n. Evaluate 1 1 -sin(m-n)x+ -sin (n m-n m+n n+n)x] +…

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Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx 1 1 1 [1 -cos(m− n)x= cos(m+n)x]…

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Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. -15…

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Q: Evaluate 3 TIT 4xyzdxydydz O 15 O 15/2 10 о None of the choices

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Q: Evaluate sin (1 sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

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Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

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A: We know that integration of xn is nxn-1.   Here i attached the solution of this question.

Q: Explain the concept of marginal cost. How does it relate to cost? How is it found? How does the…

A: The marginal cost measures the change in the cost that arises from unit increase in quantity. The…

Q: x dx x² + √√x². The integral - sine de SSH 1 + cose sece tane de sece - 1 sec²0 do 1+tano cose do…

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Q: Sketch the curve of f(x), a function whose first derivative has the following properties. You must…

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Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: When applying the u-substitution technique to this integral, we will need to exchange dx for du. 99…

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Q: Let integral in the order of dadzdy, then what are the limits of integrations? A.0 sz55, Osys…

A: Concept: Changing the limits of the triple integral: A sequential triple integral can be presented…

Q: 5. Evaluate the following triple integral. ſſſ (.x² + y² ) dx dy dz D D={(x,y):x² + y² ≤9.15:53)

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Q: Question 7 Consider S= Sx- x-m+ A) 5 3x5 3x4+6r³-3x²-6x A B C -+ -+- x-1 x+1 x+m 17/6 14/3 -dx.…

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Q: Use the quotient rule to find the derivative of the following. 2x-3 y= 7x+5

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Suppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx' cos(m− n)x- = cos(m+n)x] + C 1…

A: Solution is here

Q: Let S be the solid inside the sphere p _ 6cos@ and below the cone Ø = π/4 Find the volume of the…

A: S be the solid inside the sphere ρ=6cosϕ and below the cone ϕ=π4

Q: Л 5n Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x== 4 A 1.414…

A: Here we have to find the area bounded by the given trigonometric curves.

Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

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Q: Question 12 What is the value of f(1) - 16B in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? (A) 1 B) 3 2 D

A: Please see the below picture for detailed solution.

Q: y dy Find ·S- using the substitution +5=√√√y+2 √√y+2 (√x+2-5)(-5√/y+2+y+21) + C © ²/(√x+2-5)…

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Q: ind g'(3) given that f(3) = -1 and f'(3) = 5. (a) g(x) = 2r³-7xf(x)

A: Topic:- application of derivatives

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A: Follow the procedure given below.

Q: True or False: lim O False O True 2² + 3x - 1 14-2 2-9 3 11

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Q: Evaluate [sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after…

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Q: fsin sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

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Q: Evaluate the integral S√x Inx dx 3 2 4 -x² Inx+ x² + C 03x³nx-x²+c 4 2 -x² Inx+ 2 C 15 3 2 4 °²x²nx…

A: We have to solve above integral

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4…

A: Solution is here

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1.₂0 +00 1 2. Determine whether the integral da converges or rvin x diverges. If it converges,…

A: We have to find out integral

Q: Please

A: We will solve the problem.

Q: can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin ²0…

A: Please see the answer below.

Q: Consider S x-m+ (A) 6 B) 5 3x5 3x4+6x³3x² - 6x A B C + + x-1 x+1 x+m 17/6 (D) 14/3 -dx. Using the…

A: Here is the solution of the given problem. Method of Partial Decomposition