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

Q: y= (4x² + 2) (4x3³ - x)

A: Here we have to evaluate y=4x2+24x3-x

Q: 7. Use cylindrical coordinates to evaluate S √x² + y² dx dy dz where S is bounded by Z= √√x² + y², z…

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Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…

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Q: 4. Find a unit vector that points in the same direction as v = (1,3,9).

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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: Option C is correct  4-x^2/4

Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6 + 4t, y = 8 -…

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Q: Find the are bounded by the trigonometric curves y=sinx and y=cosx from x = pi/4 to x = 5pi/4

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Q: Find the area of the region lying between the inner and outer loops of the limacon r = 1 – 2 sin θ

A: Solution of the problem as follows

Q: 2x²+x+1 A (x - 1)(x + 1)(x-2) dx = ₁+ A -2 (B) None 3 D E 15 B x+1 + x-2 d. dx, then the value of C…

A: Given  ∫2x2+x+1x-1x+1x-2dx = ∫Ax-1+Bx+1+Cx-2 dx

Q: ad Find the equation of the tangent line to the graph of the given function at the given value of x.…

A: We have to solve the trangent line y

Q: ·S Evaluate 3x5 3x4+6x³-3x² - 6x -dx, using method of partial fractions.

A:

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

A: Given :(x+5)2=2y, the x-axis, and the line tangent to the circle x2+y2=25 at (3,4).To find :The area…

Q: Exercises To Solve [No.5] Lim 9-5 -4 dx 8X-15 "Cosx dx. 6 Sin²x+25inx +5

A:

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

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

A:

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

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Q: Q2/ Find the value of the integration by Simpson's method when 3=n, then compare the result with the…

A: We need to evaluate integral.

Q: 11. 5 [ese xdx

A:

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: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: exdx 4-ex

A: We can find the integration as below.

Q: 4 -4 x3 16-x² dx is equal to

A:

Q: [³ sin√xcos√x √x 0 A) None Зл B 256 Зл C 512 3 D 256 3 E 512 - dx is equal to

A: Given, ∫0π24sinxcosxxdx

Q: 2y”” − 3y" — 3y² + 2y= (e* + e*)²

A:

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: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: Question 1 1 Define Q as the region bounded by the function f(x) = x and the line x in the first…

A:

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

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Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: What is the derivative of the following? sin(t) d dt f 117 da cos(t) s(t) 4-sin² (t) 1 4 — sin² (t)…

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Q: Question Given compute the following integral. Provide your answer below: (-4f(x) + 4g(x)) dx = […

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Q: y dy Find ·S- using the substitution +5=√√y+2· Vy+2 ²(√y+2−5)(5√/y+2+y+21)+C 3…

A:

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

A: See the details solution in below

Q: Find y dy ·S= using the substitution u +5=√√y+21 Vy+2 ²/(√√y+2-5) (5√√y+2+y+24) +C…

A:

Q: -6 -4 -2 0 --2 (-2,-3) 2 6 4 (-1,-4) 1. Does this graph have a horizontal shift? If yes, state the…

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Q: 50 [" (ax³ + bx² + cx) dx=2b -50 A) True B) False 50 x²dx

A:

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: Which of the following equations is 1011th derivative of h(x) = -5 cos x ? Oh(1011)(x) = -5 sin…

A:

Q: S cose de 1-sine sece tane de sece - 1 The integral fo fse Si x dx x²+√√√x²−1−1 sino de 1+ cose…

A: we have to above integration

Q: QUESTION 1 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: 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: Supposem and n are constants and m #n. Evaluate sin(mx) cos(nx) dx² 1 A -sin(m-n)x+ -sin(m+n)x +n)x]…

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Q: 4. f In (2x + 1) dx =

A:

Q: the correct steps to evaluate cos²20 dº is 0 One of Ⓒ[-[²04 A de sin²20d0 0 0 [1²4] B de- cos 40d0…

A: We use double angle formula  cos(2x) =2cos2(x)-1  cos2(x) =(1+cos(2x))/2

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

A:

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: Exercises To Solve 3-2x-x²

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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