Find a vector function that represents the curve of intersection of the two surfaces: the top half of the ellipsoid x²+6y²+6z²=36 and the parabolic cylinder y=x².
What will be an ideal response?
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Mathematics
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Express the vector as a product of its length and direction. -
i - 
j + 
k
A. 
B. 
C. 
(-i - j + k)
D. 
Mathematics
Decide whether the given set of numbers is a commutative group under the given operation.Rational numbers; multiplication
A. Yes B. No
Mathematics
Find the perimeter of the figure. 6
13
A. 26
B. 21
C. 26
D. 13
Mathematics
Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form 
for the given value of k.f(x) = 3x5 + 4x4 + 2x2 - 1; k = -2
A. f(x) = (x + 2)(3x4 + 2x3 + 4x2 + 8x) - 15 B. f(x) = (x + 2)(3x4 - 2x3 + 4x2 + 6) - 13 C. f(x) = (x + 2)(3x4 - 2x3 + 6x2 - 12) + 23 D. f(x) = (x + 2)(3x4 - 2x3 + 4x2 - 6x + 12) - 25
Mathematics