Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

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A: See this solution in below.

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Q: C) Convert the equation 5x² + 2y² = 3z to spherical coordinates.

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Q: Write the equation of the parabola y = x² - 6x + 14 in vertex form y - k = (x - − h)²

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Q: An object of mass 5 kg is released from rest 2000 m above the ground and allowed to fall under the…

A: According to question,Given Informations,Mass m = 5 kg,b = 50 N-secm,g = 9.81 msec2

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A: Use the chain rule of derivative and put the value from the given table.

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Q: Find the derivative of the given function. Use all lower case letters. ax² + b C h'(x) = h(x) =

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Q: In chapter 4 we will need to factor the results from using product rule. Suppose the following…

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Q: Consider the following. u = (-5, 2, 4) v = (0, 1, 7) Find u x v. Determine if u x v is orthogonal to…

A: Use the formula for the cross product of two vectors.

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Q: find the equation of the line 9. Through (2, –50) with equal intercepts 10. Through (–7, –4) with…

A: Coordinate geometry

Q: (b) Find the sound level of a vacuum cleaner if its intensity is 10 times Io. The sound level of a…

A: We have to find sound level by using log formula.

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Q: Find the absolute maximum and minimum values of f(x) = 2 cos x + sin 2x on the interval [0]. (Recall…

A: The absolute maximum and absolute minimum of functions y=f(x) defined in the interval [a,b] can be…

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A: Given paraboloids : y=x2+z2  , y=32-x2-z2

Q: Given F = (xyz², x²yz³, y²), find the following. (a). div (b). grad (divF) (c). curl (grad (divF))

A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

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Q: For the function f(x) = 4x² - 5x+5, find f'(x). Then find f''(0) and f''(3). f''(x) = (Simplify your…

A: The given function is f(x)= 4x2-5x+5, find f''(x). than find f''(0) and f''(3).

Q: Consider the following. y = -x³ + 4, -x² + 4x, X ≤0 X>0 Find the critical numbers. (Hint: Check for…

A: Given: y = -x3+4,      x≤0-x2+4x,    x&gt;0 To find the critical number.

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Q: Find the area of the region bounded by the curves y = (x^4) −(2x^3) −(x^2) + 2x and y = 10x + 25

A: Given: y=x4-2x3-x2+2x and y=10x+25 To find: Area of the region bounded between the above mentioned…

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

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Q: ← In x For the function f(x) = - 6x find f''(x). Then find f''(0) and f''(9). point(s) possible…

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A: calculation of mass of a solid shape with necessary calculation are as follows

Q: log 457,129 is between log 457,129 A and

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

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Q: Find the volume cut from the sphere p = 4 by the cone = 1.

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Q: Consider the function on the interval (0, 2π). f(x) = 4 sin²(x) + 4 sin(x) (a) Find the open…

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Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this…

A: Given, -x +2y-z =0 -x -y +2z=0 2x -z =6 Here, we can write this equation in AX = B form where,  A =…

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Q: Evaluate the integral. (Use C for the constant of integration.) [Car dx (arcsin(x))²

A: Please see the below picture for detailed solution.

Q: 5+4n - 2n² Put the following statements in order to justify why lim n→∞ 5n² + 8n +7 Statements to…

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Q: 2. Consider the collection of vectors --0·00) 2 S = Is S linearly independent or linearly dependent?…

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Q: Write the composite function in the form f(g(x)) y = tan(7x)

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Q: Find the interval of convergence of Σn(x - 9)" n=2

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