MAT134H5 - Winter 2022
The next two questions refer to the function f:[1,9]->R whose graph is given below.
3. Approximate the area of the region bounded by the graph of f and the x-axis, over the interval 1,9, using a Riemann sum with four rectangles of equal width, and with midpoints as sample points. Obtain a single number.
4. Define a function F:[1,9]->R as follows: F(x)=∫_1^x f(t)dt.
What is F'(5) ? Your answer should be an explicit number.
Continued on the next page
MAT134H5 - Winter 2022
The next two questions refer to the function f:[1,9]->R whose graph is given below.
f(x)
3. Approximate the area of the region bounded by the graph of f and the x-axis, over the interval [1,9], using a Riemann sum with four rectangles of equal width, and with midpoints as sample points. Obtain a single number.
Answer for 3
4. Define a function F:[1,9]->R as follows: F(x)=∫f(t)dt. What is F(5)? Your answer should be an explicit number.
Answer for 4
F(5)=
Continued on the next page