1. Find the Inverse of the following functions. The Domain and Range of the Inverse a)...

  

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1. Find the Inverse of the following functions. The Domain and Range of the Inverse a) f(x) = x b) f(x)=x-4 2. Find (f) (c) for each of the following a) f(x) = x + sin x, C = 0 b) f(x) = 4 lnx, C = 0 dx 3. Find for the following dy a) y = x + cos x 4. Find the integral 10 1 IF 1 + x (Hint: Substitute u = x) N|X 2 b) y=x-- 5. Solve the system of linear equations. -4y+12w=-8 3x+3y+6z-15w=9 2x+5y-z-9w=-3 2x+y-z+3w=-11 6. Explain briefly the types of functions. 7. State the procedures of Procedures to find the inverse of a matrix A (A) 8. Find the Volume of the parallelepiped spanned by the following vectors in 3- space. (1, 1, 3), (1, 2, -1), (1, 4, 1). 9. Let f(x)=x+1 Find f'(-1) and f'(3), and draw the lines tangent to the graph off at the corresponding point. 10. What we mean by Partition, Lower Sums, Upper Sums and Riemann Sums? 11. Use the rectangle property, to evaluate the following integrals: 2 a) dx b) -3dx c) -1 5dx 1. Find the Inverse of the following functions. The Domain and Range of the Inverse a) f(x) = x b) f(x)=x-4 2. Find (f) (c) for each of the following a) f(x) = x + sin x, C = 0 b) f(x) = 4 lnx, C = 0 dx 3. Find for the following dy a) y = x + cos x 4. Find the integral 10 1 IF 1 + x (Hint: Substitute u = x) N|X 2 b) y=x-- 5. Solve the system of linear equations. -4y+12w=-8 3x+3y+6z-15w=9 2x+5y-z-9w=-3 2x+y-z+3w=-11 6. Explain briefly the types of functions. 7. State the procedures of Procedures to find the inverse of a matrix A (A) 8. Find the Volume of the parallelepiped spanned by the following vectors in 3- space. (1, 1, 3), (1, 2, -1), (1, 4, 1). 9. Let f(x)=x+1 Find f'(-1) and f'(3), and draw the lines tangent to the graph off at the corresponding point. 10. What we mean by Partition, Lower Sums, Upper Sums and Riemann Sums? 11. Use the rectangle property, to evaluate the following integrals: 2 a) dx b) -3dx c) -1 5dx