x² + y? Find a vector function that represents the curve of intersection of the paraboloid z = and the cylinder x² + y? = 4. %3D

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Q: Represent the plane curve by a vector-valued function. y = 3 – x² r(t) = %3D

A: Represent in general expression

Q: represent the plane curve by a vector- valued function. (There are many correct answers.) y=(x-2)2

A: We have to represent the plane curve by a vector- valued function y = (x - 2)2

Q: Find a vector-valued function whose graph is the indicated surface.

A: In polar coordinates, Using this rule, using appropriate substitutions:

Q: Represent the plane curve by a vector-valued function. (There are many correct answers.)

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Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x² + y² = r(u, v)…

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Q: Find the vector-valued function r(t) that satisfies the initial conditions. p (t) = +k, r (1) = 2i…

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Q: ) Jar t, < t 3 tz+ operator DP(x), stating cle scalar equation ÿ + y3 VI

A: The one to one function is shown as,

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Q: Represent the plane curve by a vector-valued function. x² = y² = 4 %3D

A: We have to represent the plane curve by a vector-valued function.…

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A: In the question it is asked to find domain of the vector function r(t)=&lt;9-t2,e-3t,ln(t+2)&gt;.

Q: Represent the plane curve by a vector-valued function. x2 + y2 = 16 r(t)

A: The given plane curve is   x2+y2 =16.  We have to represent the curve by a vector valued function…

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Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

A: Given: r→(t) =2costi→+tj→+2sintk→. x=2costy=tz=2sint Then, x2=costz2=sint

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A: Given:r(t)→=(3t-1)i^+t34j^+4k^u(t)→=t2i^-8j^+t3k^To determine:r(t) →. u(t)→

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A: Given: The cylinder x2 + y2 = 25 Surface z = xy

Q: Find the direction in which the maximum rate of change occurs for the function f(z, y)= 5x sin(xy)…

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A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: 1 u (-y°i +x rmal vector to

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Q: Q5) Let f(x, y) = Find unit vector for which Duf(2,3) = 0. %3D x+y

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Q: Represent the plane curve by a vector-valued function. (There are many correct answers.) 4x + 5y −…

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 5x sin(xy)…

A: f(x,y) = 5xsin(xy)  at point (2,3)

Q: c) Given that the pressure of air at any point (X,y,z) is P(x, y, z) = e²" (x + 2²) – 4xz², At point…

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Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x2 + y2 = = 81…

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Q: ion 2. Find the domain of the vector function r(t) = (√5 – t², 1⁄2, et). t-

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A: Option e is true.

Q: Represent the plane curve by a vector-valued function. x2 + y2 = 36 r(t)

A: Represent the plane curve by a vector- valued function                       x2 + y2 =…

Q: Find the domain of the vector function. (Enter your answer using interval notation.) r(t) = (v 36 –…

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Q: Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? %3D

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Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

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Q: Q2) Find the vectors „N of the curve r(1) = ) at the point (1.1)

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Q: 2) r(1) = ti –t j-tk, t20 Draw the graph of the vector-valued function, explaining it in detail.

A: The general form of the parametric equation of the curve in three dimensional space is given by ,…

Q: Q1) Transform the vector to cylindrical coordinate system: - K= yx'+ xy + (x²/Vx²+y*)z°

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