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Suppose X is a space that is the union of the closed subspaces X_1, ..., X_n; assume there is a point p of X such that X_i (intersection) X_j = {p} for all i not equal to j.
Show that if for each i, the point p is a deformation retract of an open set W_i of X_i, then the fundamental group of X is the external free product of the groups pi_1(X_i, p) relative to the monomorphisms induced by inclusion.
Find all values of: tan^(-1) * (1 + i). The format for the final answer should be similar to this one:
The peremiter of a cross section of a piece of lumber is 34 1/2 in. The length is twice the width. Find the actual dimension of the cross section of this piece of lumber.
Can you make a problem and show a complete solution about this topic.
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
What is the decimal notation for the fraction 1/4? How can you show that 1/4 = 25/100? How can you write 5/16 as a decimal? How would you write 1/9 as a decimal?
Let S = {1,2,3,4,5,6,7,8}. Determine: The number of subsets of S. The number of subsets of S with at most four elements
suppose the flow of current (milliamps) in wire strips of a certain type under specified conditions can be modeled with a normal distribution having mean=20 and standard deviation=1 what is the proportion of strips will have the current flow of be..
Determine the production level that gives maximum profit, and determine the amount of the maximum profit. (Round your answers to two decimal places.)
If you purchase a six-pack of sodas, and measure the amount in each can and find the average, the probability that the average of the six cans will be between 11.9 and 12.1 oz equals which standard normal probability?
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
Determine the total amount the Bells will pay for their house and how much of the cost will be interest
Find the work done in pulling the bucket to the top of the well (in ft-lb).
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