Match the given parametrizations to the surfaces shown in the figures. Answer Bank u cos (v) ((u² + 6u + 11) cos (v) O (u, v) = u sin (v) O (u, v) =| O (u, v) = 4 - и сos (o) — u sin (), (u² + 6u + 11) sin (1) ) (12 – 8u – 30)) u e [0, 1] ; vE [0, 2x] u cos (v) Ф (и, D) 3D| u sin (v) 4 - u?

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

A:

Q: Q2) Verify v(x.y)-3x3y-y3+5x is harmonic in the entire complex plane then find the conjucte harmonic…

A:

Q: Use spherical coordinates to evaluate 2π FT S 2-r r+z 0 (r² +2²) ³/ rdz dr de.

A:

Q: Use hyperbolic functions to parametrize the intersection of the surfaces x² - y2 = 25 and z = 5xy.…

A: Surfaces : ,

Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: (a) z(t) = (2 +3i)(1 – t) + (4 + 7i)t, 0 st<1, (b) obtained by writing the equation of the line…

A: This is a problem of Complex line Integral.

Q: Find polar coordinates (r,θ) where r < 0 and 0≤θ≤2π of(√3,−1)

A: Given point in the rectangular coordinates is 3,-1. To find the polar coordinates r,θ, where r&lt;0…

Q: 5. Find the parametric equations of the line tangent to the curve C defined by the vector equation…

A: To find the parametric equation of the given tangent to the curve. The vector equation of the curve…

Q: Find parametric equations of the line through (-3, 1, 5) that is parallel to 2i-5j+k. x(t) y(t) ||…

A:

Q: 4. (a) (5 marks) Use the distributive property of dot product to find (x – y) · (x + y) when x = 3i…

A: Given:             a) x=3i-4j and y=2i+4j Use the distributive property of dot product to find:…

Q: Parametrize the intersection of the surfaces y² - z² = x - 1, y² + z² = 36 using trigonometric…

A:

Q: post office sells 4-cent sheep stamps and 2-cent sunset stamps. Cole bought 5 stamps spent exactly…

A:

Q: Match the parametrizations to the surfaces shown in the figures. Þ(u, v) = v 4² u cos(v) (u, U) = |…

A:

Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

Q: c) Determine the Cartesian form of the following equations. i) x = sin{(R + 1)t}, y = cos{2(R +…

A: Given: x=sinR+1t, y=cos2R+1t We know that cos2x=1-2sin2x…

Q: Identify the parametric equations that represent the graph of y = (5 - x)². Ox (t) = t y (t)=(5-t)²…

A: given  y=(5-x)2

Q: QUESTION 5 Calculate F.dr if F=(sinx,x²y³) and C is the triangle oriented counterclockwise with…

A: Solution is given below

Q: x = 3 sin(t), y = cos(t 2 urve of intersection of the surfaces z = x² an

A: Perametric equation .