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The dimensions of a closed rectangular box are measured as 95 cm, 52 cm, and 12 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
Rewrite the constraint in standard form: y > -3x + 14
In a rooted binary tree with 16 vertices, there must be a path of length 4. No tree has a Hamilton path.
Write a graphical user interface class called SentenceCounterGUI. It should be able to manipulate the sentence of words
Make a new variable called BMIDIFF by computing the BMI difference for each twin pair.
Discuss the case when b = 6. Interpret your solutions in terms of the kernel and image of the linear transformation T: o^3 --> o^3 represented by the equations.
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
Demand for vacuum cleaners remains constant through the year.
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