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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = − 42, an+1 = √√42+…

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Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level…

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Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded (a)…

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Q: het fncx) = 1 + 1JCa 10 Evaluate [faces doc @ Find facad face) and face) Ⓒ find lion faces and f'cor…

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Q: When using the vector moment equation, M = r X F, the r vector: O must be perpendicular to the F…

A: Vector motion equation  .

Q: ][₁ xyz dS, where S is the cone with parametric equations x = ucos(v), y = usin(v), z = u, 0≤ u≤ 1,0…

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Q: Find all the local maxima, local minima, and saddle points of the function. 6 x² + y²-1 f(x,y)=- 2…

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Q: Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables.

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Q: Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y², defined on the disc D = {(x,…

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Q: Evaluate Əw at (u, v) = (3,4) for the function w(x,y) = xy-y²; x = u-v, y = uv. au A. - 1 B. C. 7 O…

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Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

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Q: S 2 x + 9x - 1 -dx 2 (x-4)(x + 1)

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Q: Find the derivative of the function at Po in the direction of u. 2x-y 5xy +6 Po(1,-1), u = 3i+4j…

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Q: Find the limit. lim (12.17) 2'2 (x,y)→>> x+y#1 x+y=1 √x+y=1

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Q: (b) Let f(x) = [(3/6=+1) x<1 2x+3b, x21 continuous everywhere. . Find the constant X=1 b such the…

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Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: Examine function f(x, y) = x² – 3xy - y²for relative extrema and saddle points.

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Q: Q4// At time t, the position of a body moving along the s-axis iS s = t³ - 6t² + 9t m. 1 Find the…

A: Given,

Q: The population of a city is P(t) = 2e0.05t (in millions), where t is measured in years. (a)…

A: The population of a city is (in millions), where  is measured in years.(a) To calculate the doubling…

Q: Find the absolute maxima and minima of f(x, y) on the given regions O f(x, y) = x² + y² 0≤ y ≤2-2x}…

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Q: dw 5 Evaluate at t= for the function w(x,y,z) = ; x = sint, y = cost, z = t². dt Z

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Q: The curves Fi(t) = (t, t², 3t4) and F₂(t) = (sin(-3t), sin(2t), t - *) intersect at the origin. 77…

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Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 0 -8-√64-x² O A.…

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Q: Assume that the recursively defined sequence converges and find its limit. a₁ = 1, an+1 = 6 1+ an…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: |f''(x)| expresses the curvature x(x) of a [1 + (f'(x)) ²2] ³/² curvature function of the following…

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Q: A bank pays interest at a rate of 7%. What is the yearly multiplier if interest is compounded

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Q: Subject: calculus  Solve the system of nonlinear equations ((2x)^2/3) +( y ^2/3)= (9^1/3)…

A: x=     , y=x=,  y=x=, y=x=,   y=

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: The derivative of y = 4cosxsinx is: ○ a) yl= 4(1 — 2 sin² x) b) y/= -4 sin x cos x c) dy = 4 sin x…

A: To determine the derivative of the following function.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 8 x² + y²-2…

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Q: Calculate the acute angle that is formed by the intersection of each pair of planes. a. 2x + 3yz + 9…

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Q: Given that sino 3 and 0<0<= what is the exact value of sin(20)?

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Q: If In a 2, ln b = 3, and ln c = 5, evaluate the following: - a (2) In ( )=[ 64c-2 (b) In √b-2c-¹a²=…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 s4us 8, 1…

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

A: The given curve equation

Q: f(x,y) = In 19x²-x²y²+19y² x² + y²

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Q: Find Of/ax and Əf/ay. f(x,y) = 2x²y of ox of ду II

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Q: An object moves along a line, where its velocity function is as described by the graph below. What…

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Q: A B U 12.64 feet 15.82 feet 16.77 feet X 21 ft 37°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: any method to determine the selles converges or diverges. Give reasons for your ans (n + 2)(n+1) n!…

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Q: For what values of x does the series converge conditionally? (-1)+1(x+4)n ngn Σ n=1 O A. x= -13 O B.…

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Q: DIFFERENTIATE f(x) = THE FOLLOWING FUNCTION +1

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Q: Evaluate h+ fiz" /// 1 AP (2x + 2h + fix) = {(x, y, z) |0 ≤ x ≤ 8,0 ≤ y ≤ 1,0 ≤ z ≤7} .

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Q: Find the displacement of an object on the interval 0 ≤ t ≤ 5 if its position s(t) = 3In(t+1).

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Q: Suppose that f(x, y, z) = x²yz — xyz³ is a function of three variables. 1. Find the gradient of f(x,…

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Q: Find dy dx cos(xy) = y³ 3

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Q: b. through the points (3, 0, 1) and (0, 1, -1), and perpendicular to the plane with equation…

A: (B) we can use the cross product of the direction vector…