Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

Q: If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17…

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

Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor's series.

Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: Riemann Sums and Ecosystem Services Definitions: Watershed: the area that drains into a stream,…

A: The objective of this question is to calculate the area under the graph for each watershed to…

Q: Current Attempt in Progress Given the figure and [ f(x)d(x) = 1.25, estimate: (a) f f(x) dx = (b) […

A: Given that.We will find the remaining values.

Q: A particle starts from rest at the point (2,0) and moves along the x-axis with a constant positive O…

A: We have to find the graph of the distance of particle as a function of time.As we know that-As given…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x = 1,…

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Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic…

A: Let r be the radius of the balloon and V be the volume of the balloon That is we are to find the…

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: The world population is approximately seven billion and still rapidly growing. How would the…

A: The graph shows the relation between year and the population in millions.Let the graph be…

Q: If you wish to integrate a function over the top half of the unit ball using spherical coordinates,…

A: The objective of the question is to determine the range of the spherical coordinates θ and φ when…

Q: (d) What is >[*\ If (x)| dx? [1500 dx = i

A: Consider the graph

Q: example 1- Find the linear approximation to f(x)=√√2x+1 at x = 4, then use it to approximate he…

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Q: Find the radius of convergence for: (n!) ³ (3n)! -xn

A: Consider the series

Q: Question 4 Find the expression for the exact area of the surface obtained by rotating the curve…

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Q: The volume of a right Circular Cone of radius r. and height his given by V=1 arth. Suppose that…

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Q: Select ALL matrix multiplications that are valid given the following matrices: A = 1 2 3 2 - 10 B*B…

A: This is question of algebra Here matrix is given We have to check it multiplication is valid or not…

Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

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Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

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Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE b) y" -9y=0. when x = 0, y…

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Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

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Q: c) y" +10y' + 25y = 0

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: -2 -1 2+ 1 T 1 y=h(x) 2 True/False True or False: At every point where h'(c) is zero or does not…

A: To determine whether the following statement is true or false.At every point where  is zero or does…

Q: Determine the Fourier transform of the following signal: x (t) = è¯(t-1) u(t-1)

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Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: Find the Maclaurin series for the given function. 3e-x

A: A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: In each of the following functions is there any value of x where the function is discontinuous? If…

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Q: 3+x 4. (a) Find a power series representation for the function f(x) = is the radius of convergence?…

A: The given function is

Q: 3. Three functions are shown: f(x) = (x + 2)² - 2, g(x), and h(x). Determine an equation for g(x)…

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

Q: If you wish to integrate a function over the top half of the unit ball using spherical coordinates,…

A: To find the limit of integral in spherical coordinates

Q: I’m not really sure how to solve i’ve tried several times.

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Q: The function f(x) = x³ + 5 is

A: f(x)=x3+5

Q: Find The derivatives: @-ª [secx - 5c0sx] d dx @y=3x²³ + sin x +5 cos x m yle) (sinx) y= и @y= 5 2 y=…

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 1. Evaluate each of the following derivatives. You need not simplify your answer. (a) √t (2-1)³ dt d…

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Q: Find the work done by the force field F in moving an object from P(-7, 5) to Q(5, 5). 2x. F(x, y) =…

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Q: The closed interval [a,b] is partitioned into n equal subintervals, each of width Ax, by the O…

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Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for f (x) = √√x + 4 on the…

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Q: Use Newton's method to estimate the two zeros of the function f(x)=x*-x-17. Start with xo = -1 for…

A: Newton-Raphson method:-

Q: 6) Show that=1

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Q: A particle moves with acceleration function a(t) = 5 + 4t − 2t2. Its initial velocity is v(0) = 3…

A: A particle movoes with acceleration function  Its initial velocity is  and initial displacement is…

Q: f(7) = 18 and n: S 0. f'(0) de = [² 10 0 f(y) dy = -10

A: f(7)=18 and ∫07f(y)dy=−10I=∫07θ⋅f′(θ)dθUsing Integration by Parts∫udv=uv−∫vdv

Q: lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

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Q: Find the work done by the force F = -2yi + 4xj along one loop of the curve r direction). = sin 80…

A: The given force  along one loop of the curve

Q: Find the Maclaurin series for the given function. 14e x What is the Maclaurin series of f(x) =…

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Q: f(x) = ln(1+x¹)

A: f(x)=ln⁡(1+x4)We know that11+x=∑n=0∞(−1)nxn

Q: x sin x 10 dx

A: Consider the integral

Q: Use Newton's method to find an approximate solution of In (x) = 9-x. Start with xo

A: Here ln(x)+x-9=0Let f(x)=ln(x)+x-9