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A spherical ballon is being inflated at the rate of 5 cubic inches a minute. At what rate is the radius changing after ten minutes?
A plane is heading due south with an air speed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
Use z score to solve the probability. Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time.
Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle.
For the expression :4x^3 +2x^4 +6xy^2, what is the degree of this polynomial expression and what is the highest degree x-term?
GOld stays solid at fahrenheit temperatures below 1945.4 degrees. Determine those celsius tempertures for which gold stays solid.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
Is this test will be given to 600 randomly selected people, where each person has the illness, find the probability that there will be at least one false negative.
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Let Cn denote the positively oriented boundary of the square x = +/- (N + 1/2)pie and y = +/- (N +1/2)pie where N is a positive integer
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