Question: 1. Solve: The differential equation below is subject to the given initial value conditions. Solve for y using a trigonometric substitution. Give all exact values.

1. Solve: The differential equation below is subject to the given initial value conditions. Solve for y using a trigonometric substitution. Give all exact values. xdy=xlx225 dx;y=0ifx=5 2. Solve: Find the area of the region (using a trigonometric substitution) bounded by the graph of 1:'2 . . y = x3 (9 x2) , the x-aXIS, and the [me x =1. Give the exact value of the area. 3. Solve: The differential equation below is subject to the given initial value conditions. Solve for y using a partial fractions. Give all exact values. (x2+4)(x2) dy=(4x26x+4)dx; y=0ifx=0 I 4. Solve: Find the area of the region (using partial fractions) bounded by the graph of f(x) = T3 x x and the x-axis fromx = 0 to x = 2. Give the exact value of the area. MComplete all work in your handwriting and show ALL calculus and algebra work Scan all pages into one
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