Question 18 Suppose that T (a)centered at 2 for f(x)is given by T₁(a)=3+5(x-2) + 8(x-2)² + 2(x-2)³ + (x-2). Then, f(2)= [Select] and f(3) (2) - [Select]

Q: Mammator Mbaye ) Find the derivative of the expression - carefully. Do not simplify. (81) - 24r + 22…

A: To find out the derivative.

Q: Consider the function f(t) = 6 sec²(t) - 6t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: The given function is: ft=6sec2t-6t3   As we know that; The expression for the antiderivative:…

Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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Q: Find the equation of the tangent line at the point 0, In 3 3 for f(x)=In 3 e²x² 2e +e²x

A: Topic:- application of derivatives

Q: "풍 2 secx dx tan³x + 4 tanx

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Q: D Question 20 Use Euler's Formula to express 5ie in a form of a + bi. O + 1 2 O 5√3 5 + 2 O 5√3 2 2…

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Q: 3. S (5y-4)dy y³+4y²

A: We know, ∫dx/x= ln|x|

Q: 1 cot³ x dx =

A: To solve the given integral.

Q: ₁ = 4-3i and Z₂ = 3 + 4i Use trigonometric forms to find Z₁Z2 and Z1 Z2

A: Topic:- application of complex numbers

Q: Consider the function f(x) = 9 x³ Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: 4. S (y³+4)dy y(y+1)

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Q: if y = (x - 1)(2-3x)² Determine the slope of the tangent at (1, 0) 0-1 01 0-5 05

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Q: Evaluate

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Q: let cosx=-4/5, pi<2<3pi/2. find csc(x/2).

A: Solved below

Q: it is planned to construct a right circular cylindrical steam boiler. the available budget for the…

A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…

Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. 242/5 b.244/5 c. 148/5 d. 152/5

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Q: Airport B is 400 miles from airpot A at N30E. A pilot accidently flies East 200 miles per hour for…

A: To find the destination after his error.

Q: 3. Find the domain of f(x) = 1- 1 X X

A: We have to find the domain of f(x)

Q: 2. S (x²–5x+3)dx x3-4x²+3x

A:

Q: III. Consider the power series +∞ n(3x + 2)n n³ +4 n=1 -1. 1. Show that the series is absolutely…

A: Given power series is ∑n=1∞n(3x+2)nn3+4 When x=1, the series becomes…

Q: 2 s x² dx x2-4

A:

Q: Find the volume of a solid obtained by rotating the region enclosed by the graphs x = 2 - y and x =…

A: The given curves are; x=2-y and x=4-y2 Now find the point of intersection between the given curves.…

Q: If z² - 3yz² + xyz -2=0, find Az дz and дх ду

A: The objective is to find the Partial derivatives.

Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π]

A: We can find the answer in the following steps.

Q: Which of the following equations represents a line that passes through the point (0, 1) and has a…

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Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: dr 4+x² S Choices: tan ¹(x + 2) + C 1 In x² + 4 +C In x + 2+ C 1 tan 2 1 ¹ 1/2 + +C

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Q: The linear density of a rod 3m long at a point x meters from one end is ke-3x kilograms per meter.…

A: Solution is given below:

Q: Find the Fourier series for the following functions: {3¹ f(x) -2≤x≤0 0≤x≤2

A: Given functionf(x)=-1     if   -2≤x≤03        if       0≤x≤2

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

Q: 2 Given an = n² sin for all positive n converges Determine whether the sequence {an} Determine…

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 - 6t, where 0 < t < 1.5…

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of stat notation is N35°F…

A: Let the position of fire be at C. Given, Distance between two fire lookout stations AB= 14 miles…

Q: Evaluate 1 2. tht Htte tan e(:-+) 2 , у акуся, whve с is the contour given by

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Q: Evaluate: [² 3 x³dx -

A: Here we have to find the definite integral.

Q: Date 3. Determine if the equation is homogeneous in what degree then solve for the general /…

A: Solution

Q: Set-up the double integral that will solve for the volume of the solid in the first octant bounded…

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Q: Use integration by parts to find the antiderivative of f(x) = ln(x).

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Q: from a material costing 6 cents/in². The front of the box must be decorated, and will cost 9…

A: answer is in next step.

Q: Thank you! It's a little hard to read. If you don't mind, may you upload a picture?

A: Our Aim is to find two positive numbers satsisfying the following requirement given below:-The…

Q: Consider the region bounded by x=4-1², the y-axis and the x-axis. N 1 1 2 3 4 The volume of the…

A: Given problem:-

Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (-2,…

A: Topic:- function

Q: ) In the following exercises, use direct substitution to show that each limit leads to the…

A: The objective of the question is determine the limits of the given function.

Q: A particle is moving with a position function given by s(t) = 6t² - ³ with position in metres and…

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Q: Solve the given initial value problem. y'' - 4y' + 3y = 0; The solution is y(t) = y(0) = - 1 2 y'(0)…

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Q: Evaluate the definite integral: 0.8 4ze-2%dz = -0.2

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Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

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Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: s) Given the piecewise function below, find h(-5) and h(-4). if x < -4 h(x) = { 6x - 7 √x+8 ifx ≥-4…

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