Compute the length of the curve r(t)= (-3t, 3t + 7,–7t + 1) over the interval 0

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ < t < ∞.

A: Given: x=3+2t y=-12-6t            - ∞ < t < ∞ To find: curve generated by given functions.

Q: What curve is described by the function (t) = (2t + 3) + i(t - 5), 0 ≤ t ≤ 1

A: Step:-1 Given parametric function is ft =2t +3 +i t-5,  0≤t≤1 Here,  x=2t +3  ---(1)y=t-5  ---(2)…

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Find the length of the curve y = In(1-2) over the interval

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Q: Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function is…

A: Given that - Consumer A’s utility function is UA(x1,x2)=min(2x1,x2). Consumer B’s utility function…

Q: Find the set of values of y=2x+k meets the curve y=1+2kx-x² at 2 distinct points?

A: Given: y=2x+kat 2 distinct points

Q: Find the domain of the function f(x, y) = In(3x? – 2y + 1). The set of all ordered pairs (x. y) for…

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Q: On a grid (x-y plane), a road is designed have a curve defined by f(x) = x² + 2 for 0 ≤ x ≤. Find…

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Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: Find the maximum point of the curve y= -2x+1 3 2 В. D.

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Q: List the points in the xy-plane, if any, at which the function z = 7+ ((x-4)² + (y+3)²)´ is not…

A: The given function is as  z= 7+((x+4)^2 +(y+3)^2)^2  We have to check the that this function is…

Q: Show that V₂ = C1 CiYt-i+1 is stationary

A: As per the question we are given a stationary process {Yt} having the acf (auto-correlation…

Q: Find t for the following terminal points, 0 <t < 2m (a) P(0, 1), t %3D (b) P t3D 2 2 (c) P( – 1,0),…

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