a) [ Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius.

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A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

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Q: 7) You are teaching a first year algebra course and the author of your textbook has a statement that…

A: Formula:  an-bn=a-ban-1+an-2b+⋯+abn-2+bn-1

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Q: 10 dx 64-Г 3

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Q: Q3: Test convergence for the following series : 1- Eno)(x + 5)" n+1 2- 2n-one 3-

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A: given LPP Maximize Z=x1+x2 subject to  x1+5x2≤52x1+x2≤4 where x1≥0, x2≥0

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 1 10. Rotate the region bounded by y=y=9, x = -2, x = 3 about the x-axis.

A: Note: Volume V of revolution about the x-axis is given by V=∫abπ y2dx .

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Q: 5. (a) (b) (d) Suppose T: R5 → R³ with T 21 12 Iz CA 15 Express ker(T) as the span of a finite list…

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A: GIVEN GRAPH equation of line passing through x1, y1 &amp; x2, y2 is f(x)=y1+y2-y1x2-x1(x-x1)

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