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F(x,y) = x^3 + y - xy + 1
a) Are there points on the curve y = (x - 1)^2 where Gradient f is perpendicular to the curve?
b) Find the absolute maximum and minimum of the function in the region 1 >= x >= 0 and y >= 0.
Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}.
Assume that d=sa+tb is a linear combination of integers a and b. Find infinitely many pairs of integers ( s sub k, t sub k ) with d=s sub k a + t sub k b
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
Find the nearest distance using cosine rule - To the nearest KM, how far is the airplane from the airport?
Use the semi-direct product construction to construct a nonabelian group of order pq, where p, q are prime numbers with q = 1 mod p
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker is:
Calculate the mean of the sample means and compare it to the population mean.
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
Quantitative methods/Probabilities, Please show me the proper formula and step to arrive to the answer to this question. I can't figure it out at all.
Prove the given Φ is either a trival homomorphism or 1- 1.
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