The Normal line at the point (0, –1, 1) to the 3 surface exy - xy² + z³ = -2 is 7=y+1=² Select one: True O False 3

Q: Evaluate the line integral [[(3.ry² + 6y) dr, where C' is the path traced by first moving from the…

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Q: Which of the following is the total length of the curve of intersection of the surfaces x2 + y? + 22…

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Q: Find curl (7z i + 8xj+2y k). curi (7z i+ &x j+ 2y k) = (1 i+( j +( )k

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Q: Find the shortest distance from the POINT (1, 0, -2) to the plane x + 2y + z = 4 (round-off the…

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Q: A surface in R³ is defined by the equation 4z = x² + 4y“.

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Q: Given the expression x* – 3x + 7 = y³. on the interval [3,5], determine the surface of revolution if…

A: Given; x4-3x+7=y3 on the interval [3,5]

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: Show that the line x + 1 =y/−1=(z − 2)/2 is in the plane 2x + 4y + z = 0.

A: Given equation of a line, x+1=y-1=z-22 And equation of a plane, 2x+4y+z=0

Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz.

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Q: Compute by hand the natural cubic spline for the data points (2,0), (1, 1), (0, 0).

A: Given data points are: 2 , 0 , 1, 1, 0 , 0. To Find : Natural cubic spline.

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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Q: 2. Evaluate (3xy+iy²)dz along the straight line joining z = i and z = 2 – i.

A: Given the Integral, ∫i2-i(3xy+iy2)dz We, know that z=x+iy ⇒dz=dx+idy, When z=i    ⇒x=0 and y=1  When…

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: Find the equations of the normal line to the surface z = 2a'y* at the point (2, – 1, 16). | x = y =…

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