Find the volume of the solid that lies within the sphere x² + y² + z² = 4, above the xy plane, and outside the cone z = 4√√√x² + y².

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Q: 1 2 -2 -1

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A: Solution of the question is given below.

Q: 1) Let A = [¹] and and B= =13241 be two matrices in M₂x2- a) Show that the matrix C = [] does not…

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Q: Prove that the triangle formed by the points 1, vertices in the Argand diagram is isosceles. 1 + i…

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Q: .Draw the graph of a function defined on [0,8] such that f(0) = f(8) = 3 and the unction does not…

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Q: Show that the polynomial x + x 3 divisible by x³ + x² + x + 1, where p, q, r, se N. + ¹ + x² 1 x4r +…

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Q: Let G be an abelian group of order n and suppose p is a prime such that pk | n and pk+1 n. Let H be…

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Q: 6. On the polar grid given below, plot the following points (label the first point A and the second…

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 2x² -…

A: CRITICAL POINTS OF A FUNCTION IS GIVEN BY TAKING, ∂f∂x=0 and ∂f∂y=0  AS, ∂f∂x=4x-2 and∂f∂y=4+10y

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Q: 13. How many edges does a tree with 6000 vertices have?

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Q: What is the dimension of the basis spanned by the following vectors {(1,2,3), (2,4,6), (3,6,9)} 0 1…

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Q: ii. x1 + 3x2 = -3 x2 = 2 -x1 + 2x₂ = 4 321+522 - 10z3 - 724 = 0

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Q: In 2013, the average surface temperature of the earth was 58 (degrees Fahrenheit) and, according to…

A: In 2013, the average surface temperature of the earth was 58 (degrees Fahrenheit) and, according to…

Q: Use the Fundamental Theorem of Line Integrals to find the work done by the force field F(x, y) = (2x…

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Q: 1. ₂ F₁ (1,2;3;x) = log{e(1-x) = 2

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Q: What are the neighbors of 4? 1 3 2 5 6 4

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Q: Let p(x) = 5x + 4x³ + 3x² + 2x + 1 and 0 1 0 0 0010 0001 0000 A = Find the matrix p(A). What is the…

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Q: Solve each quadratic inequality using the Case Exploration Method. ,11, x−5x+60 14. x² - 4x-12>0 -…

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Q: Let (6,-8) be an ordered pair on the terminal side of the angle in standard position. a. The ordered…

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Q: 17. If f(x) = 5x - 2, then f¹(x) = = 2x+1 5 x+2 5

A: Solution :-

Q: Find the location of the indicated absolute extremum for the function. 17) Maximum -6 -5 -4 -3 -2 -…

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Q: 4r 2 4s + 3 polynomial x¹ + x¹q+ ¹ + x²r + ² + x² Show that the 3 divisible by x³ + x² + x + 1,…

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Q: Question 1. A waveform is periodic with period 27 and over one cycle is defined by - π<t≤0 0 <t≤…

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