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Suppose that the compact submanifold X in Y intersects another submanifold Z, but dim X + dim Z < dim Y. Prove that X may be pulled away from Z by an arbitrarily small deformation, i.e. given e > 0 there exists a deformation Xt = it(X) such that X1 does not intersect Z and |x - i1(x)| < e for all x in X.
Why is it important to understand linear equations in business? In particular can you provide examples where the relationship between items that can be affected by management and 'items' that management wished to achieve or attain may be 'linear'?
Students are classified according to eye color (blue, brown, green), gender (male, female), and major (chemistry, mathematics, physics, business). How many possible different classifications are there? Use a tree diagram.
the population in millions of a bacteria culture after t hours is given by y=30 x 1.2t
Graph on a separate piece of paper. How many lines of symmetry does have?
Each of the two win that won the least?
Find the velocity of the top of the ladder at time t=2.
A single-loop negative feedback system has a loop transfer function. Determine the range of the gain K for which the system is stable.
The speed of light is bout 1.86 x 10^5 miles/second. How long does it take the light to reach Earth from the sun? give answer in seconds and minutes
find the number of committees from the given information.1.how many 5 card poker hands can be performed from a deck of
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
A car traveling at 48 ft/sec decelerates at a constant 6 feet per second squared. How many feet does the car travel before coming to a complete stop?
Construct a formal proof which shows that the sentence below is a theorem of predicate logic. *the E's are existential quantifiers (usually designated by backwards E's). the & are "and". Do not use quantifier negation rules.
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