Let f(x, y) = sin2(x)cos(y). Calculate 22 ахду -f.

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A: The given rectangular coordinate isSo here we have,

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Q: Write S = Σ n=5 SN = S = 1 n(n-1) as a telescoping series and find its sum.

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Q: find the derivative  f(x)=log|tanx|

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Q: For the given cost function C(x) = 14400 + 300x + x²,

A: C(x)=14400+300x+x2

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Q: 4. Find the limit of the following sequences. You can use any method you choose but make sure to…

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Q: Let lim g(x) = 10 and lim h(x) = 6 x-4 x-4 Determine the value of the limit X lim x→4 g(x) + h(x)…

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Q: Let y = f(x) be given by the graph below: -6 -5 Not Image 0-4 0-1 02 -4 04 -3 -2 -1 6 1 -1 -2H -31…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = (a) Find the interval…

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Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

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Q: Let f(x) = x³ + 6x² + 1. Calculate the derivative f'(x) = 3x² + 12x Calculate the second derivative…

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Q: If sin(A) = 0.59 and cos(A) < 0, determine: Be certain to express all answers to at least four…

A: Sin(2A) = 2sin(A) cos(A) Cos(2A) = cos2(A) - sin2(A)Tan(2A) =

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Q: Let y = f(x) be given by the graph below: -6 -5 -4 -3 -2 T -1 S 3 2 -1 -2- -31 1 2 3 4 5 Out of the…

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Q: If cos 22.5° = √A + √B, then, by using a half-angle formula, find A B =

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Q: Let lim g(x) = -1 and lim h(x) = 10 x 4 x→4 Determine the value of the limit lim [8+√xh(x) x→4

A: Let, To determine the value of the following limit.

Q: Use graph below to calculate the following: (a) f(f(2)) = (b) g(g(2)) = (c) f(g(4)) = (d) g(f(4)) =…

A: A graph of the functions  and  are given.The aim is to find the composite function values  and .

Q: Calculate dy dx = dy. You need not expand your answer. dx y = (7x² + x)(x - x²)

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Q: •π/2 1 [™ ² + xy cos(x²y) dx dy

A: Evaluate the double integral.

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Given that 1 1-x = M8 n=0 x" with convergence in (-1, 1), find the power series for 1 9-x with…

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Q: Find the indicated maximum or minimum value of the objective function in the linear programming…

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Q: Consider the function f(x) = x² + 2x - 3 x-4 a. Find the first derivative. f'(x) b. List any…

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Q: The value of c that satisfies the Mean Value Theorem on the interval [0, 5] for the function f(x) =…

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Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

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Q: Write the equation r+r(8 sin 0-10 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A: To write the equation  in Cartesian coordinatesand to identify the corresponding curve.

Q: Let f(x) = -9x - 1 Determine the absolute extrema of f on [-5, -4]. The absolute minimum of f is The…

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Q: Find the absolute extrema and where they occur for f(x) = 5x² + 7x+8 on [-4,4]. Give exact answers.…

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Q: 2. Use g(x) = 1 + x on the interval [1, 3] in this problem. X a. Show that The Mean Value Theorem…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. an =…

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Q: Suppose that p(x) = anx" converges on (-1, 1], find the interval of convergence of p(6x - 4) . x= to…

A: If a series P(x) converges on the interval (−1,1], we can determine the interval on which the power…