5s 7.2) Find the inverse Laplace transform, £-¹ {5$+12)

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A: Determine whether the degree of the function is even or odd and whether the function itself is even…

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Q: (a) What is the equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0, 0,…

A: We find a) The equation of the plane passing through the points (1, 0, 0), (0, 3, 0), and (0,0,4).b)…

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A: Given, the CES production function with kapital K and labour L :  Q(K, L) = ( (1/2)K(-1/4) +…

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: Note : As per our guidelines we are supposed to answer only one question If there are multiple…

Q: Find all absolute maximum and minimum values for the function y = 7x² + 9x +1 on the interval…

A: Given Function is as follows

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Q: Consider the function f(x) = 2x³ - 27x² 60x-10, -5≤x≤ 15. The absolute minimum of f(x) (on the given…

A: The given function is .The aim is to find the absolute maximum and minimum of  in the given…

Q: 1 Find the derivative of y = cosh-¹(8x) where x > 8 y' =

A: The Power Rule:The Chain Rule:

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Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 5ex In(y); (0,…

A: Givenfxx

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Q: Let g(x) = f(t) dt where fis the function whose graph is shown in the figure. y f LA t 1 2 3 4 5 6 7…

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Q: Consider the function f(x)=4- 4x², -3 ≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

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Q: he temperature of a person during a certain illness is given by the following equation, where is the…

A: We are asked to find extreme point of the function

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Q: X 0 f(x) 3 f'(x) 4 042 1 5 -1 1 273 2 7 362 4 1 X 2 3 4 g(x) 3 0 7 2 g'(x) 2 4 -3 -2 3 5 2 5 0 -2 5…

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Q: x = 8 cost + 8t sint, y = 8 sint - 8t cost, 0sts 2 FEE

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Q: 20,000eY |x| 5 xy-plane, where x and y are measured in centimeters, find the total population of…

A: Given that the populaton density function

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Q: Ox-2y=0

A: Given that the graph we have to find the equation of tangent line at the point origin

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Q: Convert the point from cylindrical coordinates to rectangular coordinates. Зл (x, y, z)= 6, × )

A: Given  cylindrical coordinate is .We know in rectangular coordinates,

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Q: Let f be a differentiable function such that ƒ (3) = 15, ƒ (6) = 3, ƒ′ (3) = −8, and f' (6) = -2.The…

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Q: The graph of f is shown in the figure. y 12 8 7 6 5 4 3 2 1 (a) Evaluate 1 9 2 f(x) dx. 3 LO X 4 5 1…

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Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF INTEGRAL TEST a)…

A: The given series

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A: Given,

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Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: ind an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (5,…

A: Given that the point (0,0,0) ,(5,0,7) and (-4,-1,4) we have to find the equation of the plane…

Q: Suppose the temperature in degrees Celsius over an 8-hour period is given by T(t) = -t² + 7t+32. a)…

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Q: 3 The function f(x) = 2x³ 2x³ 21x² + 36x - 8 has two critical numbers. The smaller one is x = and…

A: Given, .For find critical numbers put f'(x)=0.

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 second-order partial derivatives of the function. Show that the mixed partial derivatives f…

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Q: Complete the rows numbered (i), (ii) and (iii). (iii) Number of Tables (T) D. 2 3 4 : n Arrangement…

A: The given tableNumber of TablesArrangement  LNumber of Chairs (C)Arrangement  MNumber of Chairs…