R' is the image of the point R after a reflection. R(-3, 6) → R'(3, 6) Over which axis was point R reflected? X-axis y-axis Submit

Q: Find dy/dx and džy/dx2, and find the slope and concavity (if possible) at the given value of the…

A: The answer is found in step-2

Q: 2.) Find the acute angle between the given curves y² = 2x and 4x²+ 4y² +5y=0

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Q: Find the coordinates of the point(s) on the curve y = Va + 3 that are closest to the point (8, 0). O…

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Q: Find a parameterization for the line segment joining points (0,3) and (12,0) using the angle 0 in…

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Q: 4.) y = VT, y = 3, x = 0 around the y axis %3D

A: Given, y = x1/2, y = 3, x = 0, we have to find the volume by rotating about the y-axis.

Q: utwards from the point (0 nd S, the top half of the

A: Given, the vector field                        E(x, y, z)=x, y, z-3this vector field can be…

Q: Find the linear approximation at x = 0 to Write %3D 2- your answer in the form y = Ax + B. %3D

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Q: Find the plane thst passes through the equation of. the point P(6,0,-2) ¢ = 1+t, z=2 -t entains the…

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Q: 3) Find the length of the curve r= cos (0/3), 0< 0 <"/4:

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Q: 10) The line x = -1+t,y = 2 +t,z 2t + 7 intersects the surface z = x2 + y?. Find the cosine of the…

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Q: D A Find thepolar eavation for the cartesian curve (x²ty) - A)r-4 cos o =4x. Br°=4 cos e c)r?=4cos o…

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Q: Find parametric equations of the normal line to x2 the surface z + y? 4 at the point (2, 3, 10)

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Q: To find the points on the cone z2 = x2 + y² that are closest to the point (5,2,0) , we need to solve…

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Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the…

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the…

Q: 32. (sin y, x) • dr, where C is the boundary of the triangle with vertices (0, 0), 0 ), and 2' 2

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Q: Find parametric equations of the normal line to x² the surface z = + y? 4 at the point (2, -3, 10)

A: Given curve

Q: The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y =…

A: To find The equation of normal to the curve 2x^2-y^2=1 at the point (1,1)

Q: 11. dy/dx = -x/y, y(0) = 4 %3D

A: Given: Let's sketch the isoclines and their direction markers, then sketch a few solution curves,…

Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y =…

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Q: 12. Evaluate 3x ds where C is the parabolic are along y from P(0,0) to Q(2, 2).

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Here we have to find the equation of the tangent line.

Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1

A: Consider the given linear equation  x + y + z = 1 We have one equation and three unknown(x, y, z).…

Q: 5. In the standard (x, y) coordinate plane, the midpoint of LM is at (4, –4) and L is at (1,3). What…

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Q: y = VT, y = 2 - x and r O about the x-axis?

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Q: Evaluate |-y dx+x dy , where C consist of the curves along the horizontal line from (-4,4) to (-2,4)…

A: The given integral is: ∫C -ydx+xdy Where C consists the curve along the horizontal line from -4,4 to…

Q: Yij - y = yij – J,. = yj - , + , -y. Given %3D | (Yj – y)? [(Yj – Y;) + Cỹ, – y) - - i. be

A: Given that…

Q: Consider the curve r(t) = (t, 3 cos t, 3 sin t) for t 2 0. Find an equation for the projection of…

A: Equation of projection of curve on xy plane will not contain the term of z.

Q: What is the angle between the lines M ww x-2 y+4 z-3 x-2 y-5 1 2 E-3 and 1 1 O a. /2 arccos(/3) OC.…

A: Given two lines: x-21=y+42=z-31 and x-22=y-51=z-32

Q: The distance between the two lines x = 1+ t,y = -2+ 3t, z = 4 – tand x = 2s, y = s, z = s is

A: Please see the explanation below

Q: Q1 Use the parametric equations to calculate the line integral'c p ds over the path c which is given…

A: Given : 2 line segments and semi circle

Q: 2 Find the points on the cone z = x´ + y´ that are closest to the point (2,-3,0)

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Q: The region S = (x, y (x- 2) + y² < 4 is rotated about the line x = 5.

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Q: Find a parametric description for the curve y=4-x^2 from (-2, 0) to (2, 0) such that t=0 corresponds…

A: Given: The curve y=4-x2 from (-2,0) to (2,0)

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Find the equation of the osculating plane of the helix: r(t) = sin(3t), y(t) = 2t, 2(t) = cos(3t)…

A: Given the equation of the helix:     x(t)=sin(3t), y(t)=2t, z(t)=cos(3t) So, rt=sin3t,2t,cos3t. Find…

Q: CHOOSE ONE. Find the length of the curve x = 4- y (a) using the parametric equations r = 2 cos t and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the points on the cone z 22 = x2 + y? that are closest to the point (-3,1,0)

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 3 cos(0) + 8 sin²(0)) and compute…

A: The objective is to find y(x) and it's it's derivative .

Q: Find parametric equations for the tangent line to the curve of intersection of the cylinders x? +² =…

A: Here finds the parametric equation for the tangent line to the curve of intersection.   where the…

Q: Consider the following. x = sin(6t),  y = −cos(6t),  z = 24t;    (0, 1, 4?) (a) Find the equation…

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Q: Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by…

A: They will collide when their respective x coordinates are equal and their respective y coordinates…

Q: Solve for the critical points of parametric equation x=t^3-1, y=t^2+t

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Q: What are the critical points for the plane curve defined by the equations æ(t) = sint + cos(t), y(t)…

A: Critical points.

Q: b) Find the points on the curve 2 17x + 12xy + 8y“ = 100| that are farthest away from the origin…

A: Substitute x = rcosθ and y= rsinθ

Q: T 1) Reflect quadrilateral ABCD across the y-ar reflection on the coordinate plane to the right. new…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find the location of a point xyz that satisfies the condition I) xy<0, z=3 ii) |x|<2

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Q: The velocity of a particle moving in the xy plane is given by the parametric equations dx/dt=…

A: The given parametric equations of the particle is dxdt=-2t sin2t and dydt=2t cos2t. Evaluate the…

Q: The domain of ƒ(x, y) = In xy is points .(x, y) in the first quadrant

A: We have to tell about given statement.

Q: Integrate counterclockwise dz by Cauchy's formula 9. - 3 counterclockwise around the circle C : |z –…

A: Given that integrate counterclockwise  ∮Cz2z2-9dz by Cauchy's formula where  C : |z-3-3i|=32π.…