Let D be a domain in C and assume that f is analytic in D. Decide whether the statements below are true or false and give a short reason for your answer.
a) If there exists an open subset U of D such that Im f≡0 in U, then f is constant in D.
Please see attached for all three questions.
Let B(x) represent the area bounded by the graph and the horizontal axis and vertical
lines at t=0 and t=x for the graph below. Evaluate B(x) for x = 1, 2, 3, 4, and 5.
f(x)=x^2,g(x)=3x,and h(x)=2/x. Evaluate each sum.
sketch the function and find the smallest possible value and the l
DIRECTIONS: Show as much work as possible within each question as I grade on both the process and the final answer. TI-89's are wonderful calculators, but they don't show me if you know anything about calculus! Show all work.
1. (6 pts each) Determine the following ant
1. Evaluate the following indefinite integrals:
2. On a dark night in 1915, a German zeppelin bomber drifts menacingly over London. The men on the ground train a spotlight on the airship, which is traveling at 90 km/hour, and at a constant altitude of 1 km. The beam of the spotlight makes an angle θ with the