Find the tangent plane and normal line to In X 2y = z²(x-2y) + 3z +3 at (4, 2, -1).

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Q: 11. Find the absolute maximum and minimum values of each function on the given interval: (a) y =…

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Q: Find the area bounded by -π y = 2 sin x, y = tan x from ≤ x ≤ 37. 3 Round your answer to the…

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

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Q: In the following exercises, use a change of variables to evaluate the definite integral. 2 294. ² t…

A: By changing the variables, to evaluate the following definite integral.

Q: 11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot…

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Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Find a function ?(?) such that ?′(?)=?^x+?^e+1

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters…

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Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

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Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: 20. What value of x will give the maximum efficiency of a screw with a coefficient of x-μx² friction…

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Q: 2) Consider the function defined implicitly by: x+y-1-In (x² + y²). Find and sketch the tangent line…

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A: As per the Bartleby guidelines, answering only first question.

Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

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A: we need to find f'(x)

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Q: 39-44. Mean Value Theorem for Integrals Find or approximate all points at which the given function…

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Q: Prove that the volume of a sphere of radius r is r³ by evaluating the appropriate multiple integral…

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Q: Use implicit differentiation to find the equation of the tangent line to the function defined…

A: The given equation is; 6x2+2x4y5=8Point (-1,1)

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Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: The latitude of a point P on the surface of the Earth is specified by means of the angle in the…

A: OP = OE = 3960 mi.*to find : arc length, PE = ?

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Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: * Fmd the general solution of :- dy dx = (x²+ 3) + x² 3 2

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Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

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A: The legs of an isosceles right triangle increase in length at a rate of 3 m/s.Part A:To find the…

Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

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