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find the equation of the largest sphere that passes through the point (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisfies the condition x^2+y^2+z^2<136+2(x+2y+3z)
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
when 1500 units are being produced, the level of production is increasing at the rate of 20 units per week. what it the ttal cost at this time, and at what rate is the total cost changing at that moment?
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
Identification of the Slope and y-intercept, and x-intercept of the given equation
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
What year is it in Japan right now. This is a Math question and I believe it has something to do with with change in Calendar systems and the fact Japan drops a month.
Who is the Hermite interpolation technique named after? Describe at least three of his contributions to the field of mathematics. Use at least one source in addition to your textbook with an appropriate citation and reference. (Do not use Wikipedi..
Write a plane equation for plane passing through P (1,2,3) and perpendicular to n = . Write a plane equation for plane passing through P(1, 2, 3), Q(-1,0,1) and R(0,0,1).
a math student has a 100 homework average and test grades of 99,100 and 97. what is the lowest grade the student can get on the final exam and still get an A (an average of 90 or better) in the class?
Determine the kernel and range of each of the following linear transformations from R3 into R3. (a) L(x) = (x3, x2, x1)^T
Choose the largest subset for cover, and then remove all its elements from universal set. Repeat by adding subset consisting of largest number of uncovered elements until all is covered.
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
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