(a) Find the unit vector having the same direction as B- A+ 2C. (b) Give the direction angles of B- A+2C. (c) Draw the vector that you get in (a). (d) Find scalars a, b and e such that aA + bB + cC = (3, -2, -3).

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A: Given problem:-

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A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

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A: use property of integral to solve this.

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A: Given  x3 + y3 = 8xy

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A: we will use basic integral rules and the method of integration by substitution.

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A: Follow the procedure given below.

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A: ∫  x225+x2dx

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Q: 1.) f (x) = 10x10 4.) f (x) = %3D 2.) f(x) = x² – 9 5.) f(x) = 2x² + Vx 3.) f (x) = –x5 – x-3 – - x

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Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

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Q: 5. S csc* dx *csc4 x²

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A: First we will draw the region and find limits for x, y and z

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Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

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Q: "u,V.w are three vectors such that each is incined at an angle of 4 with the other two, and that lul…

A: To find the scalar product of two vectors with the given conditions.

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A: Let's find.

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Q: II. Multiple Choice: Read and understand the statements, then choose the correct answer. - Write the…

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A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

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A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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A: Follow the procedure given below.

Q: Sketch the region of integration and change the order of integration for the integral 3 f(x, y) dydx

A: