S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1 dx, then the value of B is equal to

Q: 3. 2 [sin 4 3x cos² 3xdx

A: 3. To evaluate the ∫sin43x cos23x dxFormula: (1) cos2x=1-sin2x(2) ∫sinn xdx=-1n sinn-1x cos x+n-1n…

Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

Q: A ream of 500 pieces of 8½ inch by Il inch copy paper has a volume of 280/2 inches³. What is the…

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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: If ["(x+5) dx = 14, then the value of b is equal to A) None B 2 C) 4 (D) -3 (E) 3

A: Let's find given integral.  We there is lower limit not given but it only possible 1.

Q: What is the definite integral represented by the limit lim (+4) Ax, on the interval [-1,1]? n-x •…

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Q: Evaluate A B e Stam" (x) sec³x dx- -tan (m+3)(x) + m+3 1 m+2 -tan (m + 2)(x) + m −tan (m + 1)(x) — —…

A: Solved below.

Q: Evaluate: (7-j3)ln(cosh(2+j5))

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Q: If f(x) = =+10, then what is the value of f(a+h)-f(z) ? h - 1 (x+10—h)(x+10) 1 (x+10+h)(x+10). 1…

A: It is given that f(x)=1x+10. we need to find the value of f(x+h)-f(x)h.

Q: The integral dx (x²+4)² sec ³0 de sin ²0 de ° csc ³0 de ° Scos²0 do can be transformed to which of…

A: Here we have to transformed the given integral.

Q: d) A scalar equation of a line that goes through T(2, -5) and is perpendicular to the line 3x - 6y =…

A: The given line is: 3x-6y=5⇒6y=3x-5⇒y=3x-56⇒y=12x-56 which has a slope m=12.

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

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Q: Which of the following is a polynomial function? C. 2x+7 A. g(x)=√x-7 y = B. f(x)=2*-5 D.…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: S Evaluate: A None 1 dx (x-3)2 (в B D -I (E) ∞ (does not exist)

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Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

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Q: dx S= can be transformed to which of the following when trigonometric substitution is used (x²+4)²…

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Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 8- 4- 6+ 2+ 4-…

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Q: 11. fel/x²di .3 X хр

A: Here, to evaluate: I=∫e1x2x3dx

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: 14. Solve the initial-value problem dy dt = -2y + u₂(t)e¯¹, y(0) = 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: -x² 9 d. f (x) = xe [0, 5]. e. f(x) = |x² − 4], [0,3]. sin x f. f(x) = = [-ㅠ -π, π]. x² + 1

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: | 5 dx Evaluate: (x-3)² (Α) - 1 B) ∞o (does not exist) C) I D 0 (E) None

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Q: dx 3-2x-x²

A: We need to solve : ∫-10dx3-2x-x2

Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

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Q: Evaluate tan" (x) sec¹x dx. 1 1 (A) -tan (m+2)(x) +· ¹tan" (x) + C - m+2 m 1 1 (в -tan (m+3)(x) +…

A: On solving this we will get Option (B) is correct

Q: 4. t²dt /t° +1 3√/₁³

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Q: (d) y = √√√x, y = 2, x = 9 M

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

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: 6. 7 [sin¹ 3xdx

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Q: y=(-4x²-5x²) (7x - 2)

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Q: usz 52 и (Inn)" 14 и OF U dim

A: We need to find limit.

Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: Rearrange lim x* so that we can apply x→0+ L'hopital's rule.

A: Given,limx→ 0+xx

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Q: Find the area bounded by the curve y=-x³ 1 - 16 A 8 square units B 16 square units 10 square units 4…

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

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

A: The region bounded by the curves y=sinx and y=cosx from x=π4 to x=5π4

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Q: x² - 16 to fill in the table: - 4 5 4.5 4.1 4.01 Based on ONLY the table of values above, what…

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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…

A: Please see the below picture for detailed solution.

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 have to find the radius of inner circle

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

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Q: y dy Find S² using the substitution u +5=√y+2. √y+2 (A) (√3+2-5) (5√3+2+y+21) +C 3…

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Q: 18. f(tan 2x + cot 2x)² dx

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Q: Question 11 Evaluate €S= A B C D 3x5 3x4+6x³-3x² - 6x x²-2x-In x² - 4x 2 x² - 2x 2 x² - 4x + In +…

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