MATH 141 Midterm: MATH141 South Carolina 141 95 f nospace
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Each of the other problems is worth 10 points. No calculators!: (the penalty for each mistake is ve points. ) Let f (x) = if x 1, if 1 < x < 2, x + 1 x2 1. , then nd dy dx : find dy dx for 6x3y2 + 2x = x cos y , state both parts of the fundamental theorem of calculus. 2: define the de nite integral r b a f (x) dx, a 30-foot ladder is leaning against a wall. 2: find z ( x4 + 2 3x ) dx. Check your answer: find z x2 sin(8x3 + 18) dx. 4x3 + 18 dx: let f (x) = 3x x3. Find the volume of the solid which is obtained by revolving. R about the x axis: find the length of y = Find where f (x) is increasing, decreasing, concave up, and concave down.
