Section 4: The Fundamental Theorem of Calculus 1. Let f be a continuous function

Question

Section 4: The Fundamental Theorem of Calculus 1. Let f be a continuous function with antiderivative F on the interval Da, bl. Let c be any point in the interval. State whether the following are true or false. If false, then correct the statement or give an example to show why it is false. f(z) dz b. F(z) dz f(b) f(a) c. f(z) dz 20 c (F(b)- F(a)) f(z) dz e. (z) dz f(m)(b a), for some m E la, bl 2. Suppose you know that a certain function f is twice differentiable and that its graph over [0, 2) is given in the figure below. As you see, the printer was sloppy and spilled a lot of ink on the graph. Decide, if possible, whether each of the following definite integrals is positive, equal to 0, or negative. f"(ar) diz f'(a) dz Printer's boo-boo 0.5 0.5

Explanation / Answer

a True

b True

c True

d True

e False

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---