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Use the QR factors in 1) to determine the lease squares solution to Ax=b. Ax=b is the solution related to Rx=Q^Tb
Determine whether it is possible to find a circumscribable, isosceles "true" trapezoid (in which the parallel sides are not congruent).
It is a common experience to hear the sound of a low flying airplane, and look at the wrong place in the sky to see the plane.
Find the volume of the pyramid with a rectangular base 11 in height, 12 in length, and 10 in width.
An ellipse with vertices at (-2,5) and (-2,1) and a minor axis 2 units long. A circle where (4,-1) and (-6,6) are endpoints of a diameter.
What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen.
A = { A a subset of X : X - A is either finite or countable} U { X,0} is a topology on X ?. Why ? ( note: the 0 means the empty set).
Points A, B,C and D are on a square. The area of teh squre is 36square units. Which is true about the perimeter of rectangle ABCD?
Find the exact value of the volume of a can of asparagus with a diameter of 8 centimeters and height of 10 centimeters.
Find the approximate value of the volume of the right circular cone with a circular base shown below. Approximate your solution to the nearest hundredth.
Find a nonzero vector x_4 such that {x_1, x_2, x_3, x_4} is a set of mutually orthogonal vectors.
Apply the Gram-Schmidt process to the vectors above in reverse order: in the form A = QR. where a_1= (1 1 1)^T, a_2=(0 1 1)^T, and a_3=(0 0 1)^T
The rope forms an angle of 33degrees with the horizontal. how much work is done pulling the box 22 feet along the ramp.
If a window entails a seamless glass area formed by a rectangle capped by semi-circle, if the semi-circle's diagonal and the rectangle's width coincide.
Let the function f(z) = u(x,y) + iv(x,y) be analytic in a domain D, and consider the families of level curves u(x,y) = c1 and v(x,y) = c2.
A section of road follows a circular arc with a central angle of 23.8. The radius of the inside of the curve is 281.0 m, and the road is 15.4 m wide.
Annual demand for a popular sandal is 500 pairs, and John Dirk, the owner of Shoe Shine, has been in the habit of ordering 100 pairs at a time.
The Italian General's Pizza Parlour is a small restaurant catering to patrons with a taste for European pizza. One of its specialties is Italian Prize pizza.
X is given the usual topology and Y is given the Sogenfrey topology. X is given the Sogenfrey topology and Y is given the usual topology.
The foundation will be 6 inches thick. How much cement, in cubic feet, will be required to lay the foundation?
Your city must have at least six parallel streets, five pairs of streets that meet at right angles and at least three transversals.
Let X be given the co-finite topology. Suppose that X is a infinite set. Is X Hausdorff? Should compact subsets of X be closed?
Let Fr(A) denote the frontier set of A and Cl(A) denote the closure of A, where A is a subset of R^n. Solve the following problems.
The definitions of surface (in terms of gluing panels) and what it means for two surfaces to be topologically equivalent.
Let X be a topological space with at least two points and the indiscreet topology. Why is this not a topology that comes from a metric on X?