15. Given: DE ||FG || ĦJ Prove: DF GJ = FH·EG E F G H

Q: I dont understand this

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Q: 1. Let A = a b c def ghi B ba bb b c gh i de f If de+ (A) = -1/24 then what is det (B-¹)? and AUT

A: Square matrix: If a matrix A has the number of rows equal to the number of columns. Then, the matrix…

Q: If f(x) dæ = 0 where a < b, a, b ER, then f(x) = 0. a

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Q: Let a A = d e h i and -3a -3b -3c B = g h i d e f Given that det(A)=1/15, what is det( B¬l)? Answer:

A: Just I have used the property of determinant of a matrix. (1) if two rows of determinant are…

Q: J₁³ Let R be the rectangle defined by the inequalities 0 ≤ x ≤ π/2 and 0 ≤ y ≤ π/4. What is the…

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Q: Suppose that A,B⊂S such that Pr[A|B]=3/7, Pr[A]=3/10 and Pr[B′]=13/20. What is Pr[B|A′]? Write as a…

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Q: Find nd [[ cos (2² +3³)dA where D = { = {(z,y) | 4 ≤ x² + y² ≤ 36}

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Q: Exercise 1.3.5. Verify (by tedious computation or Maple) the following formula known as Lagrange's…

A: Consider the provided question, Exercise 1.3.6: We have to prove that v×w=vwsinθ by using the…

Q: r r 2r p 2r 3r p 2r 3r 4r .. .. .. m 2m 3r nr Show that S 1 and 0 < r < 1. [Hint: E, iri < (1-r)²…

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Q: Use the Squeeze Theorem to show that lim a sin (1/r) = 0. Show all %3D work. 2.

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Q: Evaluate Jo F. dr where F= (-z, y, 4x), and C is given by r(t) = (sin(t), t, cos(t)), 0≤t≤T.…

A: I have explained everything with in the solution. Please go through that.

Q: How do I prove this?

A: Consider

Q: 2. Prove that, for all r ER, | sin x ≤ |r|.

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Q: 7 T 5 r Evaluate: |||sin0 dz r dr d0 0 0 0

A: We have I =∫0π∫05∫07rsinθ dz r dr dθ⇒I =∫0π∫05∫07rr sinθ dz  dr dθ

Q: -3 Vennty that A 3. 2. Varities Caley tHownilton theorem

A: We have to solve given problem: