Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use symbolic notation and fractions where needed.) ds dt

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Q: 24) A frustum (truncated cone), and the formula for determining its volume, is shown below. The…

A: Frustum :  a solid formed by cutting the cone parallel to its base side and then removing the…

Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: Let f(x) = (3x2 + 10x + 4)/(6 - 5x2). The horizontal asymptote is given by y = ? Round your answer…

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Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: ( + TO 1) y= sin 4. 6. 1 cos (20- TC %3D 2. 3

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Q: If f(x) : = 4 In(x² + x + 1), at what value of X is f' (x) = 4? O a) -1 O b) 2 O c) o d) None of…

A: This question can be solved using the concept of differentiation of function of function.

Q: Consider the double integral ° S sin a dy dx. What conclusion can you make about the value of this…

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Q: So r dr do

A: Follow the procedure given below.

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

A: We have to find the integral using left and right endpoints.

Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: :Q2 Find F(t) for the differential equation below x²y' + 2xy – 2y = 0

A: We have to find the solution of differential equation.

Q: Use the transformation x = 2u + v and y=u+2v to evaluate where R is the triangular region with…

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Q: Find a power series solution of the differential equation

A: Use power series for finding  solution.

Q: Suppose that we know that the function f(x) is differentiable at = a, then what must always be true?…

A: We have to choose correct option

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 6sxs1. The…

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Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: The total cost would be $ (Round to the nearest integer as needed.)

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Q: The following table gives the approximate amount of emissions, E, of nitrogen oxides in millons of…

A: Please see the explanation below and appreciate my efforts...

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: In a circle of radius 18, find the length of the arc spanned by a central angle of radians. Round…

A: Here, the radius18 r=18.

Q: Question Use the second Taylor polynomial for f(x) = e" at x = 6 to estimate e7. Round your answer…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

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Q: Use logarithmic differentiation to find dy/dx. 4 y = x> 2 x* + 4 dy dx

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Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

Q: A metal sheet is shaped as a region R on the plane defined by the following: 0 <x < 2, 0 < y <4- x².…

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Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: 21. If F(x)= [ VP +1 dr, then F'(2) = %3D (A) -3 (В) -2 (C) 2 (D) 3 (E) 18

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Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: 2. The population of a city grows from a initial size of 1000,

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Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: 14) Test the secies for convergane divergence or 2. (-1)"

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Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

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Q: Find the time required for an investment of $2500 to grow to $5500 at an interest rate of 5.4% per…

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Q: Problems Find the radius of convergence and interval of convergence. (a) п! n=0 (b) (5х — 4)" 00 -…

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Q: Question Suppose f is continuous on [3, 10] and differentiable on (3, 10). If 5 <f'(x) < 8 for all…

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Q: Two polynomials P and D are given. Use  synthetic division to divide P(x) by D(x), and express P in…

A: The objective of the question is dividing the given polynomials.

Q: Find the following limit. 2- 4t – 5 lim t - 5 t+5 answer =<

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Q: Evaluate: S Vx(x – 5)dx

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Q: 1 Use the formula A1 = to find the inverse of the 2 x 2 matrix (if it exists). (If an answer does…

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Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

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Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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