If ř = xî + yj + zk. Show that (i) Vř = (ii) v r3

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: If 5x + 2(x + 7) = 14x – 7. Find x a. 1b. 2c. 3d. 4

A: Given equation is We simplify the equation and solve for x.

Q: S. x Y+ 3 x²

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Q: when y = In(2x – 4x). -

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Q: Eliminate the arbitrary constants Inw = -x, y = C₁W + c₂w²

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Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: 2a +4aX+2b-ax=bx-C=D2x-8X-4 a:? vb=?, C:?

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Q: 2 1 x²dx -3x

A: Given:

Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: 2 -1 2 2.

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Q: dx :Vx2 -1 1

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Q: .2 y = 4 - x² and x +y = 2.

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Q: If (x and jy)² = 3 + j8, find x and y.

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Q: If B = exp(r - 2), what is VxB?

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Q: If 3x = 4y 3x2 is equal to: 4y2 If 3x – 4y, then

A: It is given that 3x=4y. We have to find out the value of the fraction 3x24y2. We have  to use the…

Q: Find x and y  4x + 6y = 9 x + 3y = 6

A: eliminate x first and find the value of y and by puting the value of x we can find the value of x.

Q: Q5: Evaluate f(secx)³ dx

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Q: Exc. Eind. Lim (x-1) y3

A: Solution:

Q: What value of Z will make ADEF AJKI Sy+13 6y 3z 2+22

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Q: f) y = x²-1 x²+x-2

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Q: -3r2-4t+2=0 Slove for R

A: Given, -3r2-4t+2=0

Q: =wyx for w = In (3x+ 4y). ух

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Q: Find x+y, if:    2x+3y=8 and 3x+5y=13

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Q: y = x² + x y = x + 5 2

A: y=x2+x y=x+5   a2-b2=(a-b)(a+b)