Evaluate the limits. lim?→∞ 4?^6+2?^5−?^4 / ?^7−6?^3+2?^2−1

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A: The position vector and the formula for the velocity is given by÷

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Q: Please solve and show all work and steps. Please make sure the answers are visible. √1-2² sin ¹r. 1…

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Q: QUESTION 16 Change the order of integration and evaluate the integral. 7/2 7/2 6 cos q Į Į Į 9772…

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Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

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Q: 1. Convert the following points as indicated. A. (√2, 3π/4) to Cartesian coordinates. B. (2,-3) to…

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Q: Find the area between y = (x-3)* and the x-axis from x=3 and x = 8. The exact value for the area is…

A: y=x-3ex Find the area between the curve and the x-axis from x=3 and x=8

Q: J F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y - cos y, x…

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Q: If v × ŵ = i − 3j + 5k, and ở · ☎ = 2, and is the angle between 7 and w, then (a) tan = (b) 0 =

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Q: solve the differential equation (full procedure) dy/dx= 2sec2x-cos(x), y=0 when x=1

A: solve the differential equation (full procedure) dy/dx= 2sec2x-cos(x), y=0 when x=1   integration of…

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Q: Two rectangles are to be inscribed in identical right triangles having sides of lengths 6, 8, and 10…

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Q: 4) In calm waters, the oil spilli 35 r(t) = 2t+4 ft/min t min after the ruptur r(t): = How large (in…

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Q: Find the partial derivative of f(x, y) = 2x³ - 3xy + y² with respect to x at the point (1, 6, 20).

A: A partial derivative of a function of several variables is its derivative with respect to one of…

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Q: 1 3 Find the area between y = 3x² and y = x³ from x = 0 to x = - 2 The area is (Simplify your…

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Q: Find r'(t), r"(t), r'(t) ・r"(t), and r'(t) × r"(t). r(t) = 클레 - 3tj + (a) r'(t) (b) r"(t) (c)…

A: We need to find derivative and dot and cross products.

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Q: ƒ(x) = x² − 7x+8, [0, 7]

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: the distance d of a point from P to the line through A and B is the length of the component of AP…

Q: An auditorium with a flat floor has a large screen on one wall. The lower edge of the screen is 4 ft…

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A: The given curves z=3x2+y2 and y=x3

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A: f(x)=lnx.

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³9x² - 21x + 3 Find…

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Q: TV Viewers: Newsmagazine Shows The number of viewers of a weekly TV newsmagazine show, introduced in…

A: ∫xndx=xn+1n+1+c Given The Rate of increase in the viewership of the TV show is given by 23+12t-13…

Q: 5. Let R be the region bounded by the graph of y = x-2 and the x-axis, for x ≥ 1 (a) Find the volume…

A: For a given function y = f( x )  Volume of solid obtained by revolving around x axis is given by V =…

Q: Assume that u∙ v = 1, ||u|| = 7, and ||v|| = 10. What is the value of 3u. (3u – 10v)?

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Q: Evaluate the improper integral: xe* dx

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Q: Find the value(s) of a making v = 4a i – 3 parallel to a = = : a² i +3j. (If there is more than one…

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Q: Find the area of the surface. The portion of the sphere x² + y² + z² = 400 inside the cylinder x² +…

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Q: Evaluate the following definite integral. If necessary, 10 [.²⁰ - 5 -9t² +7t-6 dt =

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Q: Use algebra to indicate the type of intersection each system of equations has. If it is a point of…

A: When two lines share exactly one common point, they are called the intersecting lines

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Q: A couple received a $129,000 inheritance the year they turned 51 and invested it in a fund that…

A: Given  Investment= $129,000 Deferred Time = 11 years Rate= 7.3%

Q: Find the area of the shaded region on the right. The area is (Simplify your answer.) y=2x² y = 24-8x

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Q: by curves about the given axis. (a) y = 25x², and y = 0; about the line x = -5 (b) y = -x² + 7, and…

A: Since you have posted multiple questions i can do first question as per our company guidelines.…

Q: Find the domain of the given function f(x,y) = 3x² - 4y².

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