The value of A. - 3 cos (1²/³) + C C-3 cos (¹/3) + C sin(1¹/3) dt

Q: 3 -2 Evaluate: ₂₁ [2³(x + y)³] dz dy dx

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to a = 112+…

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Q: True or False: Given a vector v, the vector -v will have an opposite magnitude. A True B False

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Q: Find the average value of f(x) = -3√x+ 5x over the interval [0, 3]. Submit an exact answer using…

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Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: -X y" + 2y² + y = €²² ln x e^

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Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

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Q: To find the distance across a river, a surveyor chooses points A and B. which are x 450 ft apart on…

A: Consider

Q: Write Z₁ and Z2 in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = 2√3-21, Z₂ = −1 + i

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Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given problem is :

Q: n Consider a continuous function f(x) = 2e¹-¹ – 2x. The graph of f is concave upward on which…

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Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: What is the lim 700 (n-1)-1 + (n − 2) x^²-2 +...+ OB. undefined O.D. 22-1 ne2+7

A: Here, to evaluate: limx→∞xn+xn-1+xn-2+...+x(n-1)xn-1+(n-2)xn-2+...+x

Q: Evaluate: £²₁² [(*²₂²²] du dt - x+y

A: To integrate

Q: Q4: Solve the follov A) Find and graph the volume generated by revolving the first quadrant area…

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Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

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Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

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Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

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Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: e2x 1. Evaluate the indefinite integral -1 dx. ex-1

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Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: Evaluate the integral: -2е π/3 ƒºƒ²² ƒ”¹/³ t ln u tans ds du dt see

A: Given

Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: e slope of the graph at the points (x₁, y₁) and (x2, Y2). - slope = , slope = y X -4 -3 4 3 2 (X₁,…

A: Topic:- geometry

Q: Evaluate: ₂1+ 2y dy dx ₁¹

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

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Q: If f(x) = x(2^x), then f'(x) is equal to: O 2^x (2x In x + 1) O 2^x (In 2+1) O 2^x (x In 2+1) O 2^x…

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Q: Evaluate the integral: 2e π/3 ₁²² ²/³ t Inu tans ds du dt

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Whatis the equation of the line that passes through (-3,5) and is parallel to theline 4x - 2y + 2 =…

A: The line passing through -3,5 and parallel to the line 4x-2y+2=0

Q: -In Evaluate the integral: ²²ste du ds dt

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Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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Q: Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. OA.y = C₁e(t) cos2t + C2 e(t) sin3t…

A: Let's solve given diffrential equation.

Q: The value of A. +3+2x² +C C = 1 + x² +2+C 20 [ (² + 3) *²x² dx B.+²+3x³ +C D. none of the answers

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given

Q: (x - 1)ex (x + 1)³ -dx

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Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: Consider the parametric curve: x = sin² (t) y = -9t Which integral gives the arc length of the curve…

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Q: S¹₁₁ S1+₂x² x + 2y dy dx ·12x²

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Q: 2 t √3u Evaluate the integral: №³4 524 4²2 ds du dt s²+u²

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Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

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Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: Evaluate the indefinite integral given below. [6e¹tan (2) Gett 6e4 tan (2x) sec² (2x) dx

A: The given integral: ∫6e4 tan2xsec22xdx

Q: A curve with polar equation r = represents a line. Write this line in the given Cartesian form. y =…

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Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: 3. of the solid enclosed by the hyperboloid z = Set-up the iterated double integral in polar…

A: Given

Q: Find the area of the region bounded by the curves 1 y= (x+6)²¹ y = 4 and the x-axis using vertical…

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Q: 3 Evaluate: £³₂ √²₁ ₁²[z³(x + y)³] dz dy dx

A: Given :∫-23∫-12∫01z3x+y3dzdydx

Q: ³₂²₁²[z³(x + y)³] dz dy dx

A:

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to 8 = 112t -…

A: We have to choose correct option

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

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