can someone please correct my work?

1.

Use summation properties and formulas to rewrite and evaluate the sum. 33 Z [(2102 7k] k=1 'Use part I of the Fundamental Theorem of Calculus to find the derivative of 12(3) = [sin(m) (cos(t4) + t)dt 5 \"(3) = 005(124) +3: x [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i .e. remember to put all the necessary *, (, ), etc. ] -Find the area of the region enclosed by y = 3.759: and a: = 8 y2. q Use horizontal strips to find the area, that is, integrate with respect to y. First find the y coordinates of the two points where y = 3.75m meets a: = 8 y2. lower limit c = and upper limit d = d. To find the area of the enclosed region from c to d we will integrate: / g(y)dy where g( y ) = C _y_ _ _ 3.75 (8 3'2) " Evaluate the definite integral to find Area = 115.2 x