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The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1,2,2) is 120 degrees.
Find the rate of change of T at (1,2,2) in the direction toward the point (2,1,3)
Show that at any point in the ball the direction of greatest increase in temperature is given by a vector that points toward the origin
The probability that a basketball player will make a 3 point basket is 3/5. If he tries two 3 point shots
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Solving probability problems based on normal distribution
Calculate the mean of the distribution of sample means and the population mean.
Augmented matrices to solve the word problem
Find the equation of a parabola whose vertex is (0,0) and directrix is the line y=3. Find the vertex, focus, and directrix of (x-2)^2=12(y+1). Find the latus rectum and graph the parabola, making sure that all points and axis are labeled.
Let V be a finite-dimensional real (i.e. F = R) vector space. Let T be an element of L(V)(set of operators on V), and assume that T^2 = 0.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
Find the probability distribution, & the cumulative probability distribution of car arrivals.
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
Find the probability for the serum cholesterol level.
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