a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle between b and c e. the unit vector in the same direction as b

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. - a. What type of quadric is S?…

A: Since you posted multiple questions, we will solve first part for you. Kindly repost other questions…

Q: =X C R

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A: Chain rule for total derivative

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

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A: The solution for the asked part is given as

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A: Given, the surface                           z=f(x, y)=y2

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A: In every real number c, there is integer N which is N &gt; c.

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Q: 4. Which of the following is a Legendre's equation? a. (1-x²)y" - 2xy' + 3y = 0 b. (1-x²)y" + 2xy' -…

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

Q: 4. Consider the matrix equation Ax = b where, A = a b 1 1 where a, b > 0. (a) When is A strictly…

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Q: Let S be the quadric with equation 4x² - (y - 3)² + 4z² = 4. What type of quadric is S? Find an…

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A: This is a problem of vector calculus.

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A: Let  I= ∫π4π2ln(tanx)dx Here, a=π4 , b=π2 , f(x) =ln(tanx) Step size h=b-1n=π2-π410=π410=π40 Then…

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A: Solution:-

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A: Here given g:1, 4→ℝ be a continuous function. Also, define Gx=∫ax2g(t)dt

Q: 7. xdy = (5y + x + 1)dx

A: xdy=(5y+x+1)dx ⇒ dydx=5xy+1+1x⇒ dydx-5xy=1+1x

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Q: Q1: Solve the following differential equations (A) 2xydx + (x² +8x+17)dy = 0 (B) y'-- 4 2x+1 - y = =…

A: According to our company policy we can only do three subparts at most of a question posted, if you…