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Consider the vector field F = (x2 + y2, 3xy). Compute the line integrals ∫c_1 F · dr and ∫c_2 F · dr, where c1 (t) = (t, t2) and c2(t) = (t, t) for 0 ≤ t ≤ 1. Can you decide from your answers whether or not F is a gradient vector field? Why or why not?
Is F conservative?
Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
Evaluate the average value and RMS value of the given function - Find the average value of the function i = 15(1-e (-1/2)t ) from t = 0 to t= 4.
A) How many jerseys (try it in steps of 10, so 200, 210, 220, etc.) should target order (assume unsold jerseys have $0 value)?
Two types of engine bearings were fabricated out of different compounds
A metal storage tank with a mximum volume of 500 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
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 television camera is 30 ft from the sideline of a basketball court 94 ft long. the camera is located 7ft from the
with an initial vertical velocity of 38 feet per second, from a platform that is 30 feet above the ground. How long will it take the object to hit the ground?
Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work
Use the distributive property to remove parentheses and simplify the expression.
Three whole numbers, greater then zero can be used to form a trio. example: (1,2,2) is a trio whose sum is 1+2+2=5 And (2,1,2) is a different trio whose sum
A football player runs for 1044 yards in 2000 and for 970 yards in 2004. Find the average rate of change in his performance.
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