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A: We need to setup integral.
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Q: Evaluate (A) (В B D Stan" (x) see4x dx- 1 m+3 -tan (m+3)(x) + m+1 1 (m+1 1 tan + ¹)(x) − − m+1 m-1 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…
A: Washer Method
Q: Find ·S= y dy 0(√3+2-5) (5√3+2-1+24)+C 0² (√y+2-5)(-5√/y+2+y+21)+C 03/(√3+2-5) (5√y+2+y+21) +C…
A: On solving this we will get
Q: Л 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=-tox= 4 4 A 1.414…
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Q: fsinx cos/x Зл А 256 3 (В 512 (C) None Зл (D) 512 3 E) 256 -dx is equal to
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Q: Question 21 y dy Find y+2 using the substitution +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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A: Given: y=3sin2xcosx To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx
Q: Suppose m and n are constants and m‡n. Evaluate [sin(mx) sin (mx) cos(nx) dx 1 _____cos (mn)x -…
A: We have to solve integration
Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…
A: We need to choose correct option.
Q: Find the value of k that will make the function f 2 if x<-4 . f(x)= -x+3k, if x2-4 Blank 1 Blank 1…
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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: dx (x-3)² (A) None B 0 C ∞o (does not exist) - 1 1 S Evaluate: D E
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A: Given:∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method, ∫udv=uv-∫vdu Let…
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: 3x5 ·S -dx- Using the method of partial fractions, the given integral can be written as 3x4+6x³3x² -…
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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² A +…
A: Since you have asked multiple questions , we will solve first question for you. If you want any…
Q: QUESTION 14 I 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x==…
A: Find area between two curve
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Q: Find the area bounded by the curve y = 16 A 16 square units (B) 8 square units 10 square units 4…
A: Find the area bounded by the curve y= 1/16x3-3/4x2+3x and the line y= x .
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: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…
A:
Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx
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Q: 20. [(x²+2x-10/3 (5x+5)dx
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Q: R 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=- 4 4 (A…
A: Here we have to find the area bounded by the given trigonometric curves.
Q: Differentiate: y(x) along the curve xy =ex Show all working out.
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Q: 16. Find the area bounded by the curve y=-x³--x²+3x and the line y=x. 16 4
A: 16)Given,y=x316-3x24+3x and y=x
Q: 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…
A: dsecθdθ= sec θ.tan θ
Q: Question 11 Evaluate: S₁ 2 A 63 16 B 105 C) None 16″ D 105 E 2π - 63 sinxcos³xdx is equal to
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Q: Question 7 x3 -4 16-x² (Α A 8 (в B 0 C) None D 4 E 2 dx is equal to
A:
Q: QUESTION 10 Consider O 5 14/3 O 6 O 17/6 3x5 3x4+6x3-3x2 - 6x Sx-m + A+ dx Using the method of…
A: On solving this we will get
Q: Using Newton's method with an initial approximation of x₁ = 2, what is the second approximation x₂…
A: As we know the integration formula for the Newton's method. xi+1=xi-fxif'xi where i=0,1,2,3.....…
Q: If •S" (x + 5) dx = 14, then the value of b is equal to A) None B 2 C 4 D -3 (E) 3
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Q: s 3x5 3x4+6x³-3x2 - 6x Evaluate x²–2x Α) +In x² - 4x Ⓒ²-*** B + In 2 x²-2x-In x² - 4x 2 dx. using…
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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…
A: The simple use integration
Q: [x²cos x²cosx dx, use integration by parts. What is the expression after the second integration by…
A: We will use integration by parts to solve this question.
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: Find the area bounded by the trigonometric curves 5ñ to - 4 3.667 square units 3.459 square units…
A: topic- area bounded by curves
Q: S= Evaluate Ox² - 4x 2 Ox²–2x 2 O x² - 2x - In x² - 4x 2 3x5 3x4+6x + In 3x² - 6x - (x-1) 1/6(x+2)…
A: Explained below
Q: b The volume of the solid generated by revolving the region bounded by x2-4y and y2-4x about y = 4…
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Q: (-2-x)²+5 if x ‡ - 3 = 4x + 17 if x = -3 the following limits. Enter "DNE" if the limit does not…
A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3
Q: Consider s √(x- x-m+ 06 05 O 17/6 14/3 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m dx Using the…
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Q: Evaluate fsir sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…
A: topic - integration by parts
Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…
A: The objective of the question is find the derivative .
Q: 3 Find the area bounded by the curve y=-x3- 16 A) 8 square units (B) 10 square units C 4 square…
A: The region is bounded by the curves y=116x3-34x2+3x and the line y=x
Q: [sin(mx) cos(nx) dx 9. Suppose m and n are constants and m #n. Evaluate 1 1 -cos(m− n)x+ -cos(m+n)x…
A: Evaluate the integral
non-homogenous equation using undetermined coefficient or variation of parameters. show complete details of solution and avoid using wronskian method please
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