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Given f(x, y) = √((x2/4) + 9y2 - 1).
a. Find the tangent plane at (2, 1, 3).
b. Calculate the differential for dx = dy = 0.1 and 1.
Find a parametric equation of the curve of intersection of the paraboloid and find an equation of the orthogonal projection of this curve to the xy-plane.
One study found that, all other things being equal, the number of seconds that a yellow light should be on is a linear function of the width of the crossing-street in feet.
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
Bonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2?
Using the table of information for differentiable functions f(x) and g(x) at x = 2 and x=3, determine the derivative below.
If f is a continuous function defined in an interval D, show that the restriction of f to a second internal contained in D is continuous. If f is a continuous function defined in (a, b) and if limx→b f (x) = u, show that a continuous function g : [a..
A plane is heading due south with an airspeed of 282 mph. A wind from a direction of 57 degrees is blowing at 15 mph. What is the ture course and gournd speed of the airplane?
An older computer's CPU speed was 8 megahertz, but after an upgrade it was 200 megahertz. What percentage is the speed increase?
The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts using a three-period moving average
Similarly, 2005 would be year 9, or x = 9 What is the slope, or rate of change, of this equation?
a ladder leans against a vertical wall.if the foot of the ladders is 10m away from the wall and the height of the wall is 12m. calculate i) a vertical angle made by the ladder. ii) the length of the ladder.
1. At what interest rate will it take $3000 to grow to $24,000 in an account that earns interest compounded monthly for 20 years? 2. Alice invests $10,000 in an account that earns 8% simple interest annually. What is the value of the account after..
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