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Write the Chain Rule formula for the following composition using a tree diagram
z = g(x,y),
where x = x(r,?), y = y(r,?). Write formulas for the partial derivatives ?z/?r and ?z/ ??. Use them to answer the following question: find first partial derivatives of the function z=ex +yx2, in polar coordinates, that is find ?z/?r and ?z/ ?? as a function of polar coordinates (r,?).
You want to estimate the mean score within ±10 with 90% confidence. How large an SRS of scores must you choose? Give your answer as a whole number.
A female student wants to determine whether or not students at the college like the cafeteria's food. This student uses a random number generator to help randomly select students in the cafeteria during lunch hour.
Show that provided that B> -7/3, the coefficient of ε2 in the expansion of Δ is negative. What is the significance of Δ being negative - Solve Euler-Lagrange equation, and explain the significance of the solution.
Write this as an augmented matrix, call it T . (b) Solve the linear system from part (a) in terms of the free variable f4 . (c) If the traffic is regulated on CD so that f4 = 10, what will the average flows on the other streets be? (d) What is the..
What type of sampling? the population consists of all 250 students in your large statistics class. You plan to obain a simple random sample of 30 students by using the sampling frame of students present next monday.
The deep end of a swimming pool is vertical and has the shape of an isosceles trapezoid across the top, across the bottom, and deep. Find the force against the end.
How fast is the radian measure of the angle between the ladder and the ground changing at the moment when the bottom of the ladder is 12 feet away from the wall?
A manufacturer drills a hole through the centre of a metal sphere of radius 5cm. The hole has radius 3cm. What is the volume of the remaining ring?
Write a simplified expression for the weekly revenue and Construct a table of values and graph the function
the crash cost per day per activity.
Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)
A baseball batter is running to first base at the rate of 30 ft/sec. When he has run halfway, at what rate is his distance from second base changing?
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