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Question1: One part of the Fundamental Theorem of Calculus may be stated as shown in Figure 1 of This statement emphasizes the idea that the definite integral can be used to calculate accumulated rates of change. Give two sample problems complete with solutions that could be used to demonstrate this particular aspect of the Fundamental Theorem.
Question2. Use the derivative formula from # 2 to prove that ln (a) + ln (b) = ln (ab).
Quote for the following – Due April 10.
Question3. The other part of the Fundamental Theorem of Calculus may be stated as shown in Figure 2 of. One use of this statement is that we can now define functions whose independent variable functions as the endpoint of a definite integral. In fact, the natural logarithm function can be defined this way.
Do the following:
a) Use this definition to find the derivative of y = ln xb) Define the natural logarithm function in terms of the area under the curve in Figure 3
Finding the feasible region.
Checking the equivalence
Evaluate the ratios and check are the ratios equivalent.
For each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function.
Algebra equation
Identify the sample and suggest a population
Solve the equation by graphing.
Using truth table for checking the equivalence.
Finding and making the truth value.
Define variables and profit function
Using graphical method for solving maximization problem
A health club asked the dietitian to prepare 600 ounces of a nutritional drink containing 5.5 grams of carbohydrates per ounces. The dietitian has a nutritional drink containing 5.0 grams per ounces & one that contains 5.8 grams of carbohydrate per o..
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