Please help solve this

1. Evaluate the indefinite integral fx(3x-5)"dx by using substitution method. (ch5.5) 2. Evaluate the definite integral f (x-1)et-D)'dx by using substitution method. (ch5.5) 3. The velocity function (m/s) is given for a particle moving along a line v(t) = 3t -7, [0,4] (ch5.4) a. Find the displacement traveled during the given interval. b. Find the distance traveled during the given interval. sin x 4. Find the derivative of the function f(x) = [ In(1+ 2z)dz . (ch5.3) cos x 5. Use Limit to evaluate the integral ( (5x-3)dx . ( ch5.2 ) 6. Use the L'Hospital's rule to find the limit lim (1+ 3x)1/x. (ch4.4) 7. Use the linear approximation to estimate /64.1 to 4 decimal places. (ch3.10) 8. Use implicit differentiation to find an equation of the tangent line to the curve x2 + y = (2x2 + 2y2 -x) at the point (0, 1/2). (ch3.5) 9. Use definition of derivative f'(x) = lim f(x+h) -to find derivative of the function f(x) = 2.5x +6x. h (ch2.8) 10. Find the point on the curve y = v3x + 1 that is closest to the point (3, 0). 1 1. Find the limit or show it does not exist a. x +10x -2x+3 (ch2.3) x->2 x* -10 b. lim V9th -3 (ch2.3) h C. lim 3-2x (ch2.2) x-+0 d. lim sin x (ch2.6) * -> - 00 2x 3x - 2x +10 e. lim- (ch2.6)