Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 3 sin²(e) + 14 sin(8) - 24 = 0

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A: To evaluate the following limit. limx→0 sin6xx2+3x

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Q: 3. For the function g(x) = x³ - 2x² -1, at what tangent point is the instantaneous rate of change…

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Q: on my corrections, the answer shows up as 1/25

A: Given, limx→5x-51x-15

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Q: Suppose f(x) = 7* log(x). Find: f'(x) = Note: Enter In(a) In(b) for log, (a).

A: Given query is to find the derivative.1

Q: d² u du dr2 dr (d) + u = sin u. 2 (e) ² = √ 1+ (dy) d²y dx2 (f) *x (1 + x³ ) x - x.

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

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Q: Find the values of x 20 and y 20 that maximize z = 14x + 13y subject to each of the following sets…

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Q: Calculate the derivative of the following function. 5x y= 2x+7

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Q: Determine a direction vector of the line of intersection of the two planes x = 2 + 2t x+ 5y3z- 8 = 0…

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A: To Rewrite h(x)  using negative exponents and find the derivative using the Product Rule.

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Q: The sum of the arithmetic series: t2 = 8, t5 = 9.5 and n = 12 is equal to

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Please see the below picture for detailed solution.

Q: Find the absolute maxima and minima of the function on the given domain. 13) f(x, y) = x2 - 2x - 2y2…

A: Given function is  f(x,y)=x2-2x-2y2+2y And closed triangular region is bounded by the lines x=0,y=3…

Q: 25. N= ƏN ди 7 p+q p+r ƏN до p = u + vw, q = v + uw, r = w + uo; ƏN 2, v = 3, w = 4 дw when u =

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Q: at is the average rate of change between x-2 and x-3 for the function g(x) = 4(x + 1)² -5

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Q: For the equation given below, evaluate y' at the point (1, 1). 3x³y-3r² = 0. y' at (1, 1) =

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Q: sum of an infinite series is given by S= 25/(1+3/4) What is the common ratio of this series? A. 25…

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Q: Suppose that the demand function for q units of an appliance priced at $p per unit is given by 160(q…

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Q: Winston's Treats finds that their weekly cost function is C(x) = 100 + 4x, where x is the number of…

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Q: Use the given graph of f(x) to answer the following questions. f(x) -2 0x-3 0x-3 c. Find the…

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Q: 14. For the function f(x) = a) The x and y-intercepts. 3.x - 9 find the following b) The horizontal…

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Q: [4-R] [CLO 11] Give an equation for the line which pass through the points (3, 10) and (7,-3).

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Q: If √√x + √y=9 and y(16) = 25, find y'(16) by implicit differentiation. y'(16) =

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Q: Find the gradient of the function f(x,y) = 4y - 6x at the point (2,7). Then sketch the gradient and…

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Q: Let f(x) = 1 (x¹ - £)5 6 f'(x) = 0 Find f'(x).

A: to find f'(x)