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Cosider the function f(x,y) = x2 +(y2)/4 and the level curve at z = 1 is the ellipse x2+(y2)/4=1
Find a vector perpendicular to the tangent line of this level curve at (1/(2)(1/2), (2)(1/2)).
Janet can shovel her driveway in 30 minutes, Bill can shovel his driveway in 35 minutes. How long would it take if they worked together?
Eighty percent of all California drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts? Write as a percent to the nearest tenth.
suppose that the real wage increases. does the agent work more less or the same? explain
Use this tree diagram and the probability determined in part (a) to calculate the probability that she should receive at least one payment exactly on time.
Based on the result, is 787 offspring plants with long stems unusually low? What does the result imply about Mendel's claimed proportion of 3/4?
A survey of 100 college students who frequent the reading lounge of a university revealed the following results:
From the top of a 295 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
question the minute hand on a watch is 8 mm long and the hour hand is 4 mm long. express the square of the distance
solve for each equation for all values of x2 sin2x - 5 sin x 2 0solve each equation for 0degrees lt x lt 180
a thermometer reading 72 degree is placed in a refrigerator where the temperature is a constant 38 degree F.
The state income tax on your business is $820 plus 0.08 times your profit. You made a profit of $64,860 last year. Find and explain the amount of income tax you paid last year.
A firm has an opportunity to invest $80000 today that will yield $92000 in one year. if the interest rates are 5% what is the net present value (NPV0 of this interest?
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