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- Find matrix X such that 3/2 X + [0 1] = [5 2] [-2 3] [-1 3]B-Find y(x) for the following ODE near x = 0 of 3x²y" - xy + y = 0 16 N TURDAY51. If f(x)= x(2), then f'(x) is equal to a. 2* (In x + 1) b. 2* (2 ln x + 1) Situation 52-54 | Two equations are given below 000,000,25 989 bus y=x² + 7x + 6 algen c. 2* (x In 2 + 1) 160mos notau d. 2* (In 2x + 1) 000,000,022 2x-2y=6 Won mont 52. Find one point of intersection of the two curves a. (4.50, 5.25) 000 050 ISA 964.9 b. (-5.25, -4.50) c. (-4.50, 5.25) COS d. (5.25, 4.50) 182944 d 53. Find the slope of the tangents to the first curve at the points of intersection. a. -2 and 3 c. 2 and 3 b. -2 and -3 d. 3 and -3 54. Which of the following define the equations? a. Hyperbola and line Bal Ege b. Parabola and line SE Bears 1 b c. Circle and line d. Ellipse and line
- Ql. write the following system of equations in matrix form XI-Y+3X2-4Y1+5X-3 2Y+6X2-3X1+6Y1-4X=-5 -3X1+2X2-7X+4Y-2Y1-0 2Y+4YI-X+XI+X2-3 -7X2+4Y1-3X1+9X+Y=-2[cos x – sin x 01 cos x 1] 5. If f(x) = | sin x 0, show that f(a)f (b) = f(a + b).Compute for matrix A. matA = matB x matC * B = 6 c = 1 2 C -5 %3D
- Solve the differential equation (x + sin y) dx + (xcosy-2y)dy =0 A B 2 2 +xsiny=c +ysinx=c +y^2sinx=cIf f(x) = x(2x), then f'(x) is equal to: © 2*(2lnx + 1) o 2*(21n2 + x) © 2*(xln2 + 1) © 2*(In2 + 1)GivenpointsA(x= 2,y= 3,z= -1) andB(rho=4, phi= -50degrees , z= 2),find the distance from:(a)A to origin;(b)B to the origin;(c)A to B.