Find the the first maclaurin following: four Series nonzero for each terms of the

Q: 4. 5⁰ -x² xe dx

A: Given Problem:- ∫0∞xe-x2dx

Q: so xe x dx

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Q: 1 2 ¹/² (²1-5) dz. Write a limit using summations that would equal

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Q: 00 ΣΤΑ 1 — (−1)n-¹n² 10 Select one: O True O False ≈ 0.0676

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Q: Let v = 17 + 17 and w = 17 + 8j. Find a number c so that w- cv is perpendicular to v. C =

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Q: 2. d. lim f(x) = e. x-0+ f lim_f(x) = lim f(x) =

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Q: I: SEQUENCE For each sequence, state if conver find the limit. 1) an = n²-1 2 2n -n+7 , n=1, 2, 3,…

A: since you have posted multiple question i can do first question as per our company guidelines please…

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Q: Which of the following is the complete set of roots of the auxiliary equation fory"'' - 3y "' + 3y…

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Q: 0 4 From a square piece of metal of side length 6 m, four squares are removed as shown in the…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: We have to find open intervals on which the graph is concave upward or concave downward

Q: Question 2 Compute the following limit. Give your answer as a simplified radical, if necessary. lim…

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Q: Problem Set question: The position function for a falling objects is given by s (t) = -16t² + vot +…

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Q: x2-x1/3=0 x1/3(x5/3-1)=0 How do I get to the final simplification from the first equation?

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Q: 13. Given f(x) = 2x² − 5x + 14 and g(x)= x − 3 a) Evaluate g(12) b) Determine & simplify f(-2c) c)…

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Q: A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume…

A: 20 new bees are added to the hive each week. Each bee in the colony needs 5 cm3 of space. (space…

Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

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Q: Use Taylor series you already know to find the Taylor series generated by f(x) = x sin(6x) at x = 0

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Q: Find a vector with initial point (4, -4,0) and terminal point (7, -14, - 10). Then find a unit…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Assume that the shape of the athlete's high-jump is parabolic. the function, in vertex form, where…

A: The axis of symmetry is t = 0.6 and the maximum height is 1.80 mhence the vertex is  (0.6, 1.80)

Q: Let f(x) = f'(x) = f'(9) = 4log7 (x)

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Q: Find a vector with initial point (-4,-2, 1) and terminal point (-12, 5, -8). Then find a unit vector…

A: Given problem:- Find a vector v→with initial point -4,-2,1 and terminal point -12,5,-8.Then find a…

Q: Let à = (1, -2, 0) and 6 = (1, 3,2). b Find the angle between the vector (in radians) Check Answer

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Q: Evaluate J 2xz dV where E = E Round your answer to four decimal places. {(x, y, z) | 2 ≤ x ≤ 5, x ≤…

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Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0

A: Solve the exact differential equation  1+y2+xy2dx+x2y+y+2xydy=0

Q: UX = Iz = uz = ly = Find the limits of integration ly, uy, Ix, ux, lz, uz (some of which will…

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Q: For the following exercise, find the volume generated when the region between the curves is rotated…

A: I am attaching image so that you understand each and every step.

Q: 2 1. The area of a rectangle is represented by the function A = 12x² + 48x + 48 cm² What is the…

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Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: 1. Which of the following functions grows the fastest as x goes to infinity? O 2x О 3x O Ox20 ex

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Q: 2. Which expression represents the volume of the rectangular prism shown? 2x - 3 a) (2x - 3) + (3x +…

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

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Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

A: Graph of the function given on the interval 2,4 with 20 sub interval of equal length we have to find…

Q: Part 1 A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Suppose that f(x, y) = 5, and D = {(x, y) | x² + y² ≤ 1}. Then the double integral of f(x, y) over D…

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Q: , b) Find the angle ZB.

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Q: Find a plane through the points (6,-8,5), (5,6,5), (-6,-7,3) Check Answer

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Q: 14. Given the graph of g(x), Draw the graph of g-¹(x). Show your strategy for drawing the graph of…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 2x² + y²…

A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

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Q: 2 8. y' + ²y = -x²y² cos x

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² +…

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Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: For y=5x^−2+8x^−3−7x−4, find dydx.

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Q: -) 1 = dx x (1-√x)²

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Q: 5. 6. 7. 8. √√x-1 lim- x-1 x-1 x³-x²-x+10 lim X4-2 x²+3x+2 2x²-x-3 lim x-1x³ + 2x² + 6x +5 lim…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2022" + n 2022 (d) lim sin 2022! + n!

A: Apply the limits to solve

Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

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