Find the magnitude and direction angle for each vector. • 431-46j (5.-6) 6) RS where R=(3,-1) S=

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A: given triangle lengths 610.02, 1022.5, 538.54

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A: x=y2 , x=2y2-y-2

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A: Given here the arc length of the curve  in the interval  from

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Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

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Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

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A: The Sum Rule:The Power Rule:

Q: e (25x) lim e x→2+

A: Limx-2+ e(5/(2-x))

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A: We know that,A function f(x) decreases where f'(x)<0 .

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A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: Find the definite integral 0 8 √√√9-9x² Provide your answer below: dx.

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Q: practice question - 11.32 Gwanda has the following equation for a sphere: (x^2) + (y^2) +(z^2) -…

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Q: 5. Let f(x) = [2-kx k+x with the value of f(1) to be determined. (a) Compute lim f(x) in terms of k.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: First, compute the gradient of the function p(x,y)=√23-4x²-3y². Then evaluate it at the point (2,1).…

A: Part a :The given function is,.Required -We have to find the gradient of the given function at…

Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: j(x) = X 9. j(5) = x-5 X j(x) 10. lim j(x) as x->5 = 11. j(0) =

A: J(x)=(x-5) /x

Q: Find (3). (If an answer is undefined, enter UNDEFINED.) f(x) = x²-3x - 4 g(x) = x² - 9x + 18 (4)(³)…

A: Given

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Q: Use the Chain Rule to find dt where z = x cos y, x=t, and y = 6t²

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Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

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Q: Find the slope of the line tangent to the curve y = 5ª³ at x = 1. 5 15 In 5 5 ln 5 O ln 5

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Q: Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 7xz at (1,1,1), (1,0,0), and…

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Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

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Q: Evaluate the following indefinite integral. 3 -dx

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Q: The statement u = w translates into which of the logarithmic forms below:

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Q: Draw the graph of f(x) = 13√-x-2 +2 below.

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Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

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Q: If a, b, and c are constants and f(x) = ax² + bx + c, then ƒ' (0) : = C. True False

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Q: Determine if the improper integral converges and, if so, evaluate it. dx -2 (x+10) ³/2 Write F if…

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Q: Evaluate the integral -2 Te ex dx Note: Use an upper-case "C" for the constant of integration.

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Q: how do i do this problem ? find the real roots of cos(x) = x3

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Q: f dy fer, dx

A: In this question , we can change the order of the integration.