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The expression T(x,y) should have been T(x,y,z); it is clearly a function of three variables.
The temperature in degrees at a point (x,y,z) is given by T(x,y) = 2x2y2 + z2y . A sensor is moving in space with the equations of motion: x = t2 - 2t, y = 2 sin(πt), and z = 2t, where time is measured in seconds.
How fast is the temperature changing in the sensor at time t = 1?
The height of a circular cone is changing at 1 inches per second (in/sec) and the diameter of its base is changing at -7/10 in/sec. What is the rate of change of its volume when the height 100 inches and the diameter is 50 inches?
An electric fan is rotating at a speed of 600 rev/minute. When the power supply is stopped, it stops after 60 revolutions. Find the time taken to stop the fan.
R is bounded below by the x-axis and above by the curve y=2cosx, 0
Mary is taking courses in both Reading and English. She estimates her probability of passing Reading of 0.4 and English at 0.6 and she estimates her probability of passing at least one of them at 0.8.
You purchase shares of a technology company and hold them for one yer. During that time the price pershare ranges from $64 to $143. Write an absolute value inequaity to represent the stock prices for that years.
The Atlanta Falcons currently have won 25% of their games.
1. The ratio of Clara's age of her mother is 3:11. The difference between their ages is 24 years. The ratio between their ages after 3 years will be - (a) 1:3 (b) 2:3 (c) 3:5 (d) 2:5 (e) 1:5
an automobile manufacturer has assembly plants in detroit and cleveland each of which can assemble cars and trucks. the
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
Draw the digraph of R. Below are images you can use to create the diagraph. You may copy/paste the arrow and alter the directions and length as needed.
In a sample batch of 52 mechanical pencils it is assumed that 20 are defective. If 3 mechanical pencils are randomly selected, what is the probability that none of them are defective?
Find the principal amount
which length measurement is most precise between 50 centimeters 24.36 centimeters 37 centimeters or 18.5 centimeters.
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