Find the third degree Taylor polynomial T3 (x)centered at a = 1 for the function f(x) = 3 x²

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Q: g(x)=3*-1 range y=()*__y=()*__ _y=(3) y =()* YA 2 (y=10²¹ C X O y=5t State the domain and range.…

A: Given  function:- g(x) =3x-1  To find:- Graph, Domain, Range and asymptote

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Q: e2+8i = a + ib, where: a = b i = i

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Q: Let the function be f(x)=-log(base3)X. Use the properties of the reciprocal of a function to graph…

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Q: Find F as a function of x and evaluate it at x = 2, x = 6 and x = 9. = $₁² F(x) = F(2) = F(6) = F(9)…

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Q: Evaluate the six trigonometric functions of the angle 6. (a) (b) sin(8) = cos(8) = tan(8) = cot(8) =…

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A: Given: a(t)=7 sin(T) ,Initial velocity v(0)=-6m/s

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Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

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Q: Find the average value have of the function h on the given interval. h(u) = (In(u))/u, [1, 6] have =…

A: The function is given as , hu=lnuu find the average value have on 1,6.

Q: 12. Let x be a positive real number and f(x) = log₁0x. Then f(10-x-2) is equal to: I1 f(x) B.…

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Q: Find the third degree Taylor polynomial T3 (x)centered at a O T3 (x) = 3 - 6x + 9x² - 12x³ O T3…

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Q: The masses m, are located at the points P. Find the center of mass of the system. = 2, m3 4, m2 6.…

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Q: If f(x) = 4x² - 5x + 5, find f'( − 3). Use this to find the equation of the tangent line to the…

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Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

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Q: A farmer wants to enclose a rectangular area with 400 feet of fence. In order to maximize the area…

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Q: Use Newton's method to approximate the given number correct to eight decimal places. √47 1.89969104…

A: Use Newton's method to approximate the given number correct to eight decimal places.476

Q: f(x) = (x-1)^3 (x-1) (x-2)

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Q: Find the general solution of the differential equation. y(4) + 14y" +49y = 0. NOTE: Use C₁, C2, C3,…

A: Given :y4+14y''+49y=0

Q: Find div(F x G) = V. (F x G). F(x, y, z)= i + 7xj + 8yk G(x, y, z) = xi - yj + zk

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Q: 9 (4) Giver Sifon dx = 37 g(x) dx = 16 So Find S (2 f5r1 + 3 ger)) f(x) dx and

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Q: y = √√2x-5, y = 0, x=4

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Q: y = x y 2 1 2 X

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Q: You're studying anacondas in tropical South America, and you've decided that a particular…

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Q: Evaluate I= I=S 2+41 Iti NJ Z 2 dz

A: This question is related to definite integration, we will solve it using given information.

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Q: 1. Determine whether the following series diverge or state that the Divergence Test is inconclusive.…

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Q: Find the gradient of the function z(x, y) at the given point P: z = cos(x² + y²), P(3, — 4).

A: The given function is z=cos(x2+y2), P(3,-4).

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Q: Find the interval of convergence of the power series .x" /n². 0-1<x<1 0-1<x< 1 0-1≤x≤1 O-1<x< 1

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Q: Evaluate the iterated integral. 2 √4-3²3-8²-12² SS S x dz dy dx 0 -S+x² + y²

A: Given, ∫02∫04-x2∫-5+x2+y23-x2-y2xdzdydx

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2) 5 4…

A: Please see the below picture for detailed solution.

Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: 13. A certain type of glass is such that a slab 1" thick absorbs one-quarter of the light —which…

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Q: explian how to get the domain, vertical asymptote, and end behavior of  h(x)=-log(3x-4)+6

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Q: 9. (a) Express 2 x4 – x² as partial fractions. (b) Hence, compute the exact value of the following…

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