Show that the following are equal using set identities. Provide the correct solution with the name of the identity used. 1. čn(C - (Bn C)) u ((An B) – (Bn C))- A = 0

Q: 6. What does lim v2 – x = 1 means? x-1 a. The limit of the function is 1 as x approaches 1 from the…

A: As per bartleby guidelines we only give first three question answers.

Q: dy 4у dx х (у-3)

A: Given query is to find the soly of the differential equation.

Q: What will you factor out from the integrand of tanx sec'x dx so that you can transform it to its…

A: To factor out a term such that the given integrand becomes integrable.

Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: r1/2 x2 dx is F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F (a)? The…

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Q: sin x dx 1- sin2 x 4. cos x dx 2+3 sin x 5.

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Q: local

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

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Q: Consider the following function. f(x) = x3 – 3x2 - 9x + 5 Find the first and second derivatives.…

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Q: Using Integration By Parts ∫ x^3 √(x^2+4) dx find uv - ∫ v du

A: To give a representation for integration by parts.

Q: 2 Evaluate V4-x² dy dx using polar 2x-x2 Coordinates.

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Q: Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x =…

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Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: Find the centroid of the region R bounded by the graphs of y x and y 1. 1) Which of the following…

A: To find the area of the region R.

Q: Find the absolute extrema of f(x) = x − 2 tan^−1 x on [−1,√3], and identify the values of x at which…

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Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

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Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in…

A: Let V represent the volume of a cone with radius r cm. To write an equation for V in cm3 in terms of…

Q: Using trigonometric substitution, what is dx ? A sec + C 2x2 Vx² – 9 +C sec-1 6x2 none of the…

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Q: Solve the following problems. 1. Name and sketch the graph of y² = z in R³. II.

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Q: You are building a right-angled triangular flower garden along a stream as shown in the figure. (The…

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Q: V4. 4-x? Si S dy dx using polar Evaluate 2x-x2 Coordinates.

A: Let's find.

Q: d太 2.

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A: Given integral is ∫x2-x2-1 dx.

Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

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Q: cot ve csc² Ve do 3 Vo (4 + cot? Ve)

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Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

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Q: S csc6 cot* w dw W

A: Given,           ∫csc614wcot414wdw

Q: A. Direction: Evaluate the limit. f(x) = {x – 2x + 2, x < 2 х- 3, х22 1. Evaluate the limit using…

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Q: 32 (c) Show that Hence, find the interval for x that satisfies the inequality = 22* 2 x 4" 32" -…

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Q: What will you factor out from the integrand of csc°(3x)dx so that you can transform it to its…

A: the given integral,         ∫csc6(3x)dx

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A: A)f(x)=cos-1lntan xdomain of inverse of the function -1,1.-1≤lntan x≤11e≤tan…

Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 31.…

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Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: x e2x dv

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: 4-x dx. Evaluate f: T16-x 16-х2

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Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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Q: 2х — 5 lim 4x

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: ∫f(x) dx=∫ 5-31+x2-1dx=∫ 5dx-∫ 31+x2-1dx=5x-3arctanxAdd a constant to the solution=5x-3arctanx+C…

Q: Convert x = 19 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

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Q: x² + 4x – 5 dx = Using Trigonometric Substitution :| f(e)de find the new limits of integration. x+2…

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: 10 y = 5 4- y%3Dx 12. y%3D 20 4 6. 8. 10

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Q: 1. give the equivalent cartesian coordinates of ρ = π

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Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

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