Consider the ray r(t)=o+ td with origin o=(1, 1, 0) and direction d = (1, 1, 1), and the plane N-x= c with unit normal N= (1, 0, 0) and offset c= 10. If the ray intersect with the triangle, where does the ray intersect the plane? (Express the intersection point in coordinates)

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Q: 4. Compute the first fundamental form.

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Q: (PQ) [(A+D+1) − (B+C)] = 0, -

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Q: 1) Compute y (0.5) with y!!! xy¹ = (1-x) ex by @Taylor series y (o)= y) (o)=y" (a)=1₂h=0-5

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Q: Find the general solution of the given second-order differential equation. 2y" - 5y' +6y=0

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y" - 6y' +9y=t, y(0) = 0,…

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with z² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: 1. Evaluate the following real integrals by residue. theorem 3 • I- 88 dx (x²+1)(x² +9) ans tr 12

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Q: •S O CO3 MX ox (x+9²) (x+b23 dx ans: ㅠ 93b2 -bm am e e (음 - 등) a

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Q: =S & • I = dx (x²+9²)2

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Q: 6. Evaluate the following real integrals by residue theorem s & •S= Sin H соз mx ~ (x²+a ²) (x² +…

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Q: Tipping. Refer to the sales receipt below. [Section 6.4] a. Estimate the 15% tip. b. Find the total.…

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