Question 14 Find the area bounded by the curve y = - -x 16 A 10 square units B) 4 square units C 8 square units D) 16 square units 3 3 --x² + 3x and the line y=x. 4

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: To evaluate x²cosx dx' x2sinx+2x cosx – 2 x2sinx+2x cosx – 2 x²sinx- – 2x cosx — 2 x2sinx – 2x…

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

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

A: Volume of revolution

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

Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: topic- slope of a line

Q: Consider two athletes running at variable speeds v₁ (t) and v₂ (t). The runners start and finish a…

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

A: Please follow the next steps.

Q: -tan (m + 1)(x) + C tan I + m um + ( x ) (x + ₁)² I m+3 1 с

A: Using substitution then integrating we get correct answer as (C)

Q: Question 13 Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) +…

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

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Q: a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)

A: topic- equation of line

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

A: Follow the procedure given below.

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

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Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

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Q: x dx 7. The integral trigonometric substitution? sece tane de [s sece - 1 sino de S 1+ cose [sec²0…

A: We have to transform the integral using substution.

Q: In this problem, you are asked to carefully read Example 6.4.2 of APEX Calculus. 1 The given…

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Q: 1

A: We will solve the problem.

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: What is the value of f(1)-168 in [x³ Inx dx = f(x) ((1/4) Inx-B) + C? A) 2 B) 1 (C) D) 3

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)²=2y, the…

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Q: Suppose m and n are constants and m #n. Evaluate [sin (mx) cos (nx) dx.

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

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Q: The height s (feet) of a ball hit into the air is given by s(t) = -16f² +50t + 5, where t is the…

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Q: Evaluate tan" (x) sec¹x dx m+ 1 m+1 1 m+2 B D -tan (m + 1)(x)-tan (-1)(x) + C m - 1 (m+1)(x) +tan…

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Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: Exercises To Solve [No.5] 4 S (x-1) √X²2X-3 dx 3-2x-x²

A: Note:- according to the company policy we have to attempt only one question so please upload the…

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: QUESTION 19 A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are…

A: Solution of the problem as follows

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

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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: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

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

Q: x dx x² + √√x²-1-1 The integral - (A) cose de can be transformed to which of the following using…

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Q: Exercises To Solve [No.5] 4 S (X-+1) √ X ²2X-3 3-2x-x²

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Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

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Q: Evaluate Stan" (x) tan" (x) sec¹x dx

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

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

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Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

Q: y dy Find ·S= √y+2 0²/(√y+2-5)(-5√/y+2+y+21)+C 3 03 (√y+2-3) (5√/y+2+y+24) +C 3…

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Q: What is the value of f(1) - 16B in ∫x^3 lnx dx= f(x) ( (1/4) lnx - B ) + C

A: To find out the required value.

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: To evaluate x²cosx dx use integration by parts. What is the expression after the second integration…

A: We have to find the solutions

Q: º fun"(x) sec¹x dx tan Evaluate

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Q: өpapzp4=6,ff f f +

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Q: ·S- y dy Vy+2 using the substitution (√√y+2-5) (5√√y+2+y+21) +C 0²/(√y+2-5) (5√y+2+y+24) + C ○ ¾…

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Q: Evaluate Stan" (x) sec¹x dx*

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Q: 2 I зах 9x²-6x+5

A: On solving this we will get

Q: Consider J 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…

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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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