6. Determine if the following statements are true or false. If true, explain why. If false, either provide an example which disproves the statement, or explain why. a. Let f be a strictly increasing function on the interval [0,1]. For any number of rectangles chosen, then right endpoint area approximation is greater than the left endpoint area approximation b. Let g be a strictly decreasing function on the interval [0,1]. The right endpoint area approximation where the number of rectangles is n = 2, is greater than the right endpoint area approximation where the number of rectangles is n = 6. 1 For the definite integral| -dx, if approximating the area using left endpoints and n = 3 rectangles, the x4 + 6 c. width of the rectangles would be an integer value. 2 아-([m)' d. Iffis continuous on [a, b], then (f(x))* : f(x)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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