Given the points P = (1,2,3), Q = (5, 5, 3) and R=(1,7, 15) in R3, if 8 is the angle between the vectors PQ and PR, what is the value of cos 0 ? 03 O 3 స్త్రీలు రైలు డో/లు /లు O O 845

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Q: 2) The following diagram shows the points P, Q, and M. M is the midpoint of [PQ]. P(0, 2) 0 M Q(2.0)…

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Q: sketch the graph of the ellipse defined by each. the following equations. Transform the equation of…

A: We can find standard equation of ellipse and about ellipses.

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Q: Let S = {a+bx+cx²: = {V1, V2, V3} and T a, b, c = R}, where v₁ = 1 + x + 3x², v₂ = −2 − 2x – 7x², v3…

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Q: Q#12 Please prove that cos(a− ß) cos(a+ß) = (cosa cos 6)²-(sina sin 6)²

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Q: Question 3. In this question you will examine relationships between integrals of the form [ S² (1)…

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Q: 23 Solve y" - 2y + 2y = 2x2, y(0) = 0, y(t) = π.

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Q: Which of the following is NOT always true for sets A and B such that AC B? A. AnB = A C. BU (A - B)…

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Q: In cartesian product, is A X ( B X C ) = (A X B) X C

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Q: 1 E x² + y² + z² 2 = 25 and x² + y² + z² Evaluate J x² + y² + z² dV, where E lies between the…

A: Given that the spheres,          x2+y2+z2=25, and x2+y2+z2=49, in the first octant.

Q: minimize x2 - (x₁ - 2)³ + 3 subject to x₁-x₂² - 4 ≥0, x1 - 10 ≤ 0.

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Q: 3. Let be the Euler phi function. (a) Determine all integers n such that (n) is odd. (b) Determine…

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A: The 5th question is a hard nut. The prufer group serves as a counter example. It's is well known and…

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Q: 2F. n 1 ;;1=2" (b), (26)

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