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1. Write dy in terms of x and dx if y = 5x2.
2. Determine the linear approximation of 21/2. Express your answer as a reduced fraction in the form a/b.
3. The measurement of the side of a square is found to be 12 cm with a possible error of 0.05 cm. Use differentials to estimate the propagated error A???A in computing the area of the square. Please do not include the A?± symbol in your answer. Round your final answer to one decimal place.
4. Which of the following is the linear approximation formula, L(x), that estimates values of y = ln(x) + 1 for values of x near 1?
Question 4 options:
y = x - 1
y = x
y = x + 1
y = -x
B is the midpoint of segment AC. AB = 5x and BC = 3x +4. Find AP, BC, and AC.
A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
Prepare an advertisement for that position that complies with federal law. This advertisement must be detailed. The minimum length of your job description must be 300 words (approximately three-fourths of a page). You can make up the job details b..
If the probability of an event is .857, what is the probability that the event will not occur?
Use the binomial series to expand the function as a power series. Find the radius of convergence :
Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
perform a literature survey on self-adjusting data structures. you may start with a recent paper and fully understand
A man rows a boat 280 feet upstream against a constant current in 8 minutes. He then rows 220 feet downstream (with the same current) in 4 minutes. Find the speed of the current and the equivalent rate at which he can row in still water.
distance of 3600 km against the wind the return trip takes 4 hours with the wind What is the rate of the plane in still air and what is the rate of the wind?
Find the appropriate tests to use for this study.
the area of a rectangle is 100 square inches. the perimeter of the rectangle is 40 inches. a second rectangle has the
A lighthouse is fixed 160 feet from a straight shoreline. A spotlight revolves at a rate of 17 revolutions per minute, (34 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 16..
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