Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w is |u (v x w)| to determine the volume of 6 P(-6, 3,0), Q(2, 1, -3), R(1, 0, 1) and the tetrahedron with vertices S(3,-2, 3). NOTE: Enter the exact answer. V = 2.67 X

Q: • ["* [*, [° 42²y — 2²³ dz dy dz J1 1. Evaluate

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answers of rest,…

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A: To find the Laplace transform of ft=t cosh2t sinh3t.

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A: The given function is;  (7x2-17x+38)/[(x+6)(x-1) 2].

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A: In this question we have to find the volume of the region bounded by curves using washer method.

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Q: Find the general solution to the differential equation: cos x y' = sin re

A: Solve the following

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Q: √√(y - 3), 1 ≤ y ≤9

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Q: The solution and answers are incorrect

A: The correct solution is given below

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

A: This question can be solved using the concept of maxima and minima.

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A: Here we have to find the local extrema.

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Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

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A: Please refer to the image below

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Q: 3. Answer the following about the function f(z)= 42³-4-500. Justify all your answers. (a) Find all…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Given   Height of Mount Everest =  29029 foot

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Q: 10. S 1 √√x+ ³√x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) [(323√/7³-√3/3/3) dx 32x5

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Q: Use the sum-to-product formulas to find the exact value of the expression. 5-2 sin 3 2 sin in

A: We can find the answer as below using the sum to product formula.

Q: 9. lim (e* + x)²/™ x48

A: Let's evaluate limit.

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Q: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

A: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

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Q: 1. Find the solution of the differential equation. y’’-2y’+y=0 theme: repeated roots; order…

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Q: Question 8 If f(x) = x² + 1, choose the correct value of f(x + 1). (a) f(x + 1) = x² + 2 (b) f(x +…

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Q: Moving to another question will save this response. Question 3 Choose the correct answer. (a) The…

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Q: 5. (True/False) Every critical point is either a local maximum or a local minimum.

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Q: 10. (True/False) For any continuous function f(x, y), we have fry = fyr.

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Q: Tutorial Exercise Find a formula for the inverse of the function. 5x - 1 2x + 6 f(x) =

A: Given function is        fx = 5x-12x+6            Let  y = f(x),   then…