8 ["#f(z)de = [", 1(2)dz + ["*1(2)\dx = [ 1(²)dx, *, f(x) ƒ(z)dz -3 If what are the bounds of integration for the first integral? a = and b=

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A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

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Q: simplify 12cos4xsin4x

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: 33. " +9y sin 2x; y(0) = 1, y' (0) = 0 34. y" + y = cos x; y (0) = 1, y'(0) = -1 35. y" - 2y + 2y =…

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Q: Find dz/dt where z = 2xy - x² y² and x = 2t, y = t².

A: Given: Now,        z=2xy-x2y2  =22tt2-2t2t22  =4t3-4t6

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Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

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Q: 10. Which pair of lines are perpendicular? a. -5x+y+1=0, 5x+y+1=0 b. 2x+3y-7=0,-3x-2y+2=0 c.…

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Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx y = S₂ 9x² +9

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Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

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Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

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Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-¹)²

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Q: 1. Let = =(3, 2, 1) and 5 = (-4,3₁-1) e) Evaluate (3a+46) (3a - 4b). f) Find the angle between a and…

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Q: Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos(y)

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