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1. What are the four categories of financial ratios? Choose one category (excluding liquidity ratios) and list and describe the various ratios in that category. What do the calculated numbers mean for these ratios?
2. What is the Du Pont system, and why is it better than the traditional ROE model?
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
Explain in simple terms how solving linear equations is similar and different than solving linear inequalities. Cite and explain three examples.
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.
Find the range of optimality for Cx, You are given a linear programming problem that has already been solved. The following conditions hold
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
Suppose S is a multiplicatively closed subset of the ring R. Describe the kernel of the natural ring homomorphism R-->(S^-1)R
The equivalent impedance Z of two impedances Z1 and Z2 in parallel is given by the formula 1/Z = 1/Z1 + 1/Z2.
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
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