The integral S sine de 1+ cose sec²0 de 1+ tan cose de 1-sine sece tane de sece-1 S x dx x²+√√x²-1-1 S³ can be transformed to which of the following using trigonometric substitution?

Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

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Q: consider ∫ xsinx cox dx= f(x) sin2x - g(x) cos2x + C. what is the value of f(1) + g(1)

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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: 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: Evaluate A B Ⓒ D S= x² - 4x 2 x² - 4x 2 x2-2x 2 x²-2x-In 3x5 3x4+6x³3x² - 6x - (x-1) 1/6(x+2) 16/3…

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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: π 5π Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= —to x = 4 1.414…

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Q: Given the following pieces of information: I. a = (4, -2, 3) II. b = (0, 3, -5) Find: a) lal b) ab…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Exercises To Solve [N0.5] -2 05² = dx 2 x²+2x+5 5² 3dx 9x²-6x+5

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Q: A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the cheetah…

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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…

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

Q: Exercises To Solve [No.5] 3dx 9x²6x+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: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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

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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: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

A: We have to solve Integral

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

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

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

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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: 3x5 3x4+6x3-3x2 - 6x (x-1) 1/6(x+2) 16/3- +In x + 1 ¯ (x− 1) 1/6(x+2) 16/3- (x+1) 1/2 ¯ (x− 1)…

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Q: Evaluate Stan" (x) sec¹x dx- 1 A -tan ₂ (m+3)(x) + —_—_—_tan (m+1)(x) + C m+3 m+1 1 1 B −tan…

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Q: Question 9 The integral - dx (x²+4)² can be transformed to which of the following when trigonometric…

A: The given  integral can be transformed to which of the following when trigonometric substitution…

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: 3x5 3x4+6x³-3x² - 6x B с -+ x-1 x+1 x+m S= Consider Sx-m+- A xm+-+- -dx. Using the method of partial…

A: Since the degree of the numerator is not less than degree of the denominator, perform polynomial…

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: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

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Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

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Q: af Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.

Q: Estimate the slope of the tangent line to the curve at the given point (-3.5,1.250) on the graph to…

A: In this question, we want to find the slope of the tangent line of the curve at point (-3.5, 1.250).

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: The integral I com S f se fse x dx x² + √√√x²-1. cose de 1-sin sinᎾ dᎾ 1+ cose sec²0 de 1+ tane sece…

A: Substitute x= secθ and solve . dsecθdθ = sec(θ) tan(θ).

Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: It is clearly seen in the figure that the tangent line is horizontal to the x axis at the point…

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

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Q: Convert S.S. dzdydx 3-√√9-**-* Into an integral of spherical coordinates 319-x2

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Q: ·S- y dy √y+2 using the substitution u +5=√√y+2. A(√3+2-5)(-5√y+2+y+21) +C B (√y+2-5) (5√3+2-y+24)…

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Q: Find the area bounded by the curve y= 16 (A) 8 square units (B) 4 square units (C) 10 square units…

A: To find out the bounded area by the curves.

Q: ³ SS ²0 Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), an

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Q: Find the velocity of the particle at the times given. Velocity at time t = 1: -3 Velocity at time t…

A: We will find the velocity.

Q: Pre Estimate the slope (slope = rise/run) of the tangent line to the curve. Q st 6 8 P 9 6 64 4 62 4…

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Q: Find S y dy y+2 using the substitution V +5=√y+2

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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: Evaluate tan" (x) sec4x dx. 1 1 A -tan 2) (x). + (m+2 -tan" (x) + C m+2 m (m+1) ¹) (x) (m- m+1 1…

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Q: Exercises To Solve [No.5] dx 05². of зах (2) x²+2x+5 9x²6x+5 D

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Q: -S₁ Consider 08 14/3 O 17/8 05 3x5 3x4+6x³-3x²-6x •√(x-1 -dx- Using the method of partial fractions,…

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Q: 10. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: The region bounded by the given curves x2=4y & y2=4x is: which is rotated around y=4.

Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

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Q: For the function f(x) = x6 – 10x4 , find the points of inflection.

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Q: 57 ves y sinx and y=cosx from x=- to x=- 4 4

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