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1. Calculate the gradient of g(x,y) = x sin y + ycos2 x
2. Calculate the directional derivative of f(x,y) = x2/3 + y2/3 at the point (1,2) in the direction of v ≤ -3, 5.
3. Calculate the directional derivative of g(x,y) = ln(x + ey) at the point (e. 1) in the direction of v ≤ e, 1.
What is the farmer's breakeven point in units (pounds) under the old system? What is the farmer's breakeven point in dollars?
A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 120 ft wide at the top and 60 ft wide at the bottom and with legs of length 80 ft. Find the hydrostatic force on the dam when it is full of water.
Write about the relation between differentiation and integration - Write about the properties of definite integrals, the relation between under the graph of the function and the integration.
require a 150-300-word response to the following discussion questionhow many solution sets do systems of linear
a patient is given a dosage q of a drug at regular intervals of time t. the concentration of the drug in the blood has
Now, if you measured the tail length in centimeters instead of millimeters, what would be the slope of the regression line? (There are 10 millimeters in a centimeter.)
Mr and Mrs Samuel visited Florida and purchased 120 oranges. They gave 1/4 of them to relatives ate 1/12 of them in the hotel and gave 1/3 of them to friends. they shipped the rest home to Illonois.
the perimeter of a rectangular garden is 98 feet. the length of the garden is 4 feet more than twice the width. what is the length of the garden?
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
Sketch hyperbola after finding Center, Vertex and Foci of this equation: (y+5)squared/16 - xsquared/9 =1. Please show steps needed
an open rectangular box with square ends to hold 6400 cu. cm. is to be built at a cost 75 cents/sq.cm. for the base and 23 cents/sq.cm. for the side. find the most economical dimension.
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
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