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Calculus-
Let this be a three-dimensional scalar field f(x, y, z) = (1)/(x2 + y2 + z2) - z
Determine the gradient grad f and the value of |grad f| in spherical coordinates. Note - The negative "z" is not part of the fraction 1/(x2 + y2 + z2). It is indeed separate. So the question would read: fraction -z Where the fraction is 1/(x2 + y2 + z2).
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
What is the slope coefficient, the slope coefficient t value and its p-value? What does this indicate?
Give 3 real-world examples where something is increasing at a constant rate or decreasing at a constant rate. The starting amount would be the y-intercept, "b", and the rate at which it increases would be the slope
According to Kinetic theory, the molecules of ordinary matter are in constant random motion. Compute the mean kinetic energy in terms of K and T.
What is the total defect rate? I came up with 6%. A randomly selected product was defective. What is the probability that it came from Plant A?
What is the angle of elevation of the ladder?
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
many chief executives have been under serious criticism from organized labor for the fat paychecks that they take home.
He decided that next time, he will get an enlarged tub that is similar, but has a linear scale factor of 1.5. How many kernels of popcorn should the enlarged tub hold?
The vice president of business services at Prescott College (PC) is worried about the future of her on campus bookstore. The 25 year old college has operated its own bookstore for its entire history, but now finds that it may have to contract out..
a rectangle storage container with an open top is to hav a volume of 10m^(3). the length of its base is twice the width. material for the base costs $10 per square meter. material for the sides cost $6 per square meter. find the cost of materials ..
A glass box measures 7 X 12 X 18 cm and is closed on all six sides. It is partially filled with colored water. When the box is placed on one of its 7 X 12 sides, the water level is 15 cm above the table. If the box is placed on one of its 7 X 18 s..
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