Convert the point from cylindrical coordinates to spherical coordinates. (4,2,0) =([ (p, 0, 4) =

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Q: 8 2. a) Differentiate the function Q(p) = -2³√/p³ (e²-√³) b) Hence or otherwise, determine Q'(1).

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: The Power Rule:The Chain Rule:

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

Q: 64. lim X18 x - √x² + 4x - 65. lim (√x – 2 – √x – 4 x18 66. lim x² In x48 os 1) X COS

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A: The given function , and the region .The objective is to find the value of the integral .

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Q: believe the correct answer for concave upward is (-inf, -1) U (1, inf)

A: In this question, we will find concave upward and downward.

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A: find the general solution of the

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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: Greenhouse gas emission level in 2020 = 56440 MTCDE

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Q: Let lim g(x) x 4 = 8_and_lim h(x) = 8 x 4 Determine the value of the limit 2 lim [g(x) - 3]² x→4…

A: Given that To find:-

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Q: Consider the following. -1 focus I directrix y -2 -3 Find an equation of the parabola. Find the…

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Q: ₂2 Find the derivative of f(x) = ln ( ² sin x 2x+1 2 2 O f'(x) = + sinx - 241 x 2x+1 o f'(x) 2 X = =…

A: f(x)=ln[x2sinx/(2x+1)].

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A: The velocity of an object is shown in the graph below.To find the total displacement and distance…

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A: Given that the function

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A: A rectangular area adjacent to a river is fenced​ in; no fence is needed on the river side. The…

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A: The ellipse is given as,

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A: We will find the displacement.

Q: Find all the values of x such that the given series would converge. 8 xn n=1 (6)" (√n+7) The series…

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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: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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A: Area of square = (side)2Parameter of square = 4(side)

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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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A: Find

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