Show that F is conservative, and find a function f such that , and use the result to evaluate
where C is any curve from
.
Select the correct answer.
a. 224
b. 135
c. 117
d. 70
a. 224
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Solve the problem.A baseball player hit a baseball with an initial speed of 140 feet per second at an angle of 40° to the horizontal. The ball was hit at a height of 3 feet off the ground. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the distance the ball traveled?
A. x = 107.24t, y = -16t2 + 90.02t + 3 5.659 sec, 2.813 sec, 606.871 feet B. x = 107.24t, y = -16t2 + 90.02t + 3 5.659 sec, 2.813 sec, 1021.812 feet C. x = 107.24t, y = -16t2 + 90.02t + 3 11.319 sec, 2.813 sec, 1213.85 feet D. x = 107.24t, y = -16t2 + 90.02t + 3 5.593 sec, 2.813 sec, 599.793 feet
Convert as indicated.In a physics lab, Shelly recorded the speed of an object at 130 feet per second. Convert this speed to miles per hour. (Round to the nearest whole, if necessary.)
A. 1 mph
B. 468,000 mph
C. 89 mph
D. mph
Consider the 30-year fixed-rate home loan of $182,000 with an interest rate of 7.25%. What is the total amount of interest paid? ? Please round the answer to the nearest cent. ? $ __________
Fill in the blank(s) with the appropriate word(s).
Write the expression in the standard form a + bi.(1 + i)20
A. -1024 B. 1024 C. 1024i D. -1024i