Find the value of integration of Semi-deviant manner when y-n found the real integration facilities Lound error S xẻ dx

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

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Q: If tan A = and tan B B = 1/1, calculate and simplify the following: tan (A - B) = [?]

A: SOLUTION-

Q: 12. 4 CSC X cot² x dx

A: Given problem:-

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

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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: Find the area bounded by the trigonometric curves 3.667 square units 2.828 square units 3.459 square…

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Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin²x+25inx+5

A: Here is the solution

Q: 15. cos³ 3x 3√√/sin 3x dx

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

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Q: S- Find y dy Vy+2 using the substitution u +5=√√x+2. A ²/ (√x+2-5) (-5√/y+2+y+21)+C ℗ ²/(√√y+2-5)…

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Q: Find 1- y dy y+2 using the substitutionu +5= √√y+2.

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Q: iven the vectors u = (8,5) and v = (-3,6), со (a) 6u (b) 7v - 2u (c) ||10u +3v||

A: Vector

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

A: We have given  ∫x sinx cosx =fx sin2x-gx cos2x+C Let,  I=∫x sinx cosx dx I=∫x sin2x2dx I=12∫x sin2x…

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

A: Given

Q: Find the area bounded by the curve y = 1x³ - 2x² + 3x and the line x3_ 16 16 square units 10 square…

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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: 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: Evaluate: 2 sinxcos³xdx is equal to 0

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Q: The volume of a cube can be represented using the function V(s) = s³ Which formula of the sphere is…

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Q: 13. - (In t ² )º t dt

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Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

A: We have to choose to correct option

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: What is the dy/dx of y = 3sin²x cos x ? O 3 sin x(sin²x - 2cos²x) O-3 sin x(sin²x - 2cos²x) O 3 sin…

A: Given: y=3sin2⁡xcos⁡x To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx

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: The velocity of a projectile is found using the function v(t) = 2 + 16t and is measured in feet per…

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Q: St. -4 16-x² A 4 (В 2 (C) 0 (D) None (Ε 8 00 dx is equal to

A: This is based on the definite integral.

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: 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: 3. f(e-²x - 1) dx

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Q: 6x9-x5+- (A) π B 0 C) None π √4-x2 dx is equal to

A: Here we have to evaluate I=∫-226x9-x5+14-x2dx

Q: 2. 2 4 Scot² 3x csc + 3xdx

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Q: Evaluate A B с D S= 3x-5 3x4 + 6x3-3x2 - 6x x² - 4x 2 x² - 2x 2 x² - 4x 2 x2-2x-In (x-1) 1/6(x+2)…

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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: y dy y+2 (√√y+2=5)(-5√√y+2+y+21) + C 3 B (√√y+2-5) (5√√y+2=y+24) + C 3 © ²² (√√y+2-5) (5√/y+2+y+24)…

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Q: 6 "Cosx dx. Sinx+25inx+5

A: Integration by Trigonometric substitution:

Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

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: Evaluate • O Stan" (x tan O m+1 1 m+3 1 m+2 m+1 "(x) sec¹x dx n (m + 1) (x) — __ ¹ (m+3)(x) + n (m +…

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Q: y= (4x² + 2) (4x3³ - x)

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

Q: 11. The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4…

A: Follow the procedure given below.

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: Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.

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Q: What will be the rate of change of the area of a circle with respect to its radius when the radius…

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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: Consider the equation below. x² - y² + z² - 2x + 2y + 4z + 2 = 0 Reduce the equation to one of the…

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Q: 16. S cot xdx /1 + In sin x

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Q: Question 14 Find the area bounded by the curve y = - -x 16 A 10 square units B) 4 square units C 8…

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Q: 3 S² x³ cos x ²dx 6.

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