Match each of the Maclaurin series with the function it represents.

Q: Evaluate the line integralſ (x + 2y) dx + x² dy, where C consists of line segments from (0,0) to (2,…

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Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: .3 t +y3

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Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers…

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Q: Sketch a graph of the function. Given the piecewise definition f(x) = Draw the graph of f. 4. 3 2-…

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Q: 1/2 y = (4x-3)¹/²₂ d³y 3 dx

A: Third derivative id given.

Q: A fungus starts off weighing 23.1 grams. Its mass increases by 1 percent every day, that is, each…

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the limit. lim 1→2(t i - 5 j + t² k)

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Q: and the magnitude of the given vector. (-4, 4, 7)

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j|| dt =

A: ||xi + yj || = √x^2. + y^2

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: Solve the differential equation: (D³ + D)²y = 0

A: D3+D2y=0

Q: CO Start with the geometric series Σχ. m=0 (a) Find the sum of the series Σ - = 1 (b) Find the sum…

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Q: (a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = x/2 using four…

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Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 4 Sª √5 +…

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Q: Question 3 Select all of the following tables which represent y as a function of a. I Y I x y I y…

A: Let's find.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: We have to find the value of c.

Q: а) 2х, -3х2 +5х3 -2Хм = 9 5X2 +X3 +3Х4 = 1 7Х3 - Ху = 3 2Х4 =8

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Q: Find the limit. lim t→3(t i-4 j + t² k) a z→3(t 1-4 j + P²³ k) = [i i+ Mi + M k

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Q: Write the given (total) area as an integral.  • The area above the x − axis and below y = 4x− x²…

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Q: 43. Vertices: (0, 12), (0, −12); Asymptotes: y = ±x

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Q: Direction: Find the integral of the following functions: 1. (5 cos x + 7 sin x) dx 2. f(3tan² x +…

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Q: onsider the quadratic function f(x) 2²-3x + 10. etermine the following: (enter all numerical answers…

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Q: (D²+1)y= tan x

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Q: Finding an Indefinite Integral In Exercises 55-66, find the indefinite integral. 58. far² √²…

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Q: Let C be the curve represented by the equations x = 3t, y = t², (0 ≤ t ≤ 1). In each part, evaluate…

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Q: Homework 11 Parametric: Problem 3 Suppose a curve is traced by the parametric equations as t runs…

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Q: Solve the following initial value problem: y′′+6y′+18y=0y″+6y′+18y=0 when y(0) is 5 and y’(0) is…

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Q: Finding Extrema on a Closed Interval In Exercises 1-8, find the absolute extrema of the function on…

A: To find the absolute extrema of the function on the closed interval. By using a graphing utility to…

Q: Sketch the region enclosed by the curves x = sin 3y and x = y, and compute its area as an integral.…

A: We have to find the area between the curves.

Q: Differentiate using delta method y=6x2-24

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Q: Solve the differential equation: (D41)y = 0

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if…

A: Follow the procedure given below.

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Here we have given a linear programming problem with equations as given below:  x + 3y ≥ 20 7x + y ≥…

Q: we have 27ft squared of material to build a box of maximum volume with a square base and no top.…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (Enter your…

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Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³1 (4t³i + 14tj - 6√tk)…

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Q: Problem 3

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Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: To find the domain of the following vector‐valued function.rt=25-t2 i+t2 j-4t k

Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.