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1) Let l(x)=2x+1, and let A(t) be the area of the trapezoid bounded by the x-axis, the y-axis,l, and the line x=t. (A) Write a
1) Let l(x)=2x+1, and let A(t) be the area of the trapezoid bounded by the x-axis, the y-axis,l, and the line x=t. (A) Write a formula for A(t). (B) Graph A(t) for 0 equal to or < t < or equal to 5. 2) j(x)= square root 4-x^2 3) Let R be the function defined by R(t)=1/t^2. (A) What is the natural domain of R? (B) What is the range of R? (C) Is R continuous on the interval (-5,5)? Justify? 4) (A) Sketch the graph of a function that is concave up an increase is over the interval [-3,5]. (B) Sketch the graph of a function that is concave up and decreasing over the interval [-3,5]. 5) Graph f(x)= g(-x)
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