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Follow the Order of Operations to solve complicated problems.
Attempt to solve equations without writing down intermediate values. If you must write down values, keep as many digits or decimal places as you can. Better yet, use the memory locations in your calculator to store intermediate values.
NEVER round intermediate calculations. Only round the final answer.
Simple Interest: Don took out a $20,000 loan at 18% simple interest which resulted in a future value of $22,500. How many days was the loan held? Assume a year is 365.25 days.
Suppose you are making observations of a system which changes in time and which can be in one of three states. Does entropy have a maximum, minimum or both?
consider the following data for a clinical
a simple random sample of size n is drawn from a population that is normally distributed. the sample mean is found to
Evaluate the Fourier coefficients ao, an, bn and the exponential coefficient Dn for the waveform shown below; do not use MATLAB or a calculator for integrations.
Let V be a ?nite-dimensional inner product space over F, and let U be a subspace of V. Prove that the orthogonal complement U⊥ of Uwith respect to the inner product ?⋅,⋅? on V satis?es dim(U⊥)=dim(V)-dim(U).
y'' + xy' + 2y = 0 X0=0 a) Seek power series solutions of the given differential equation about the given point X0;find the recurrence relation. b) Find the four first terms in each of two solutions Y1 and Y2 (unlessthe series terminates sooner).
How long will the ball take to reach its maximum height? How long will it take the ball to hit the ground?
a 17-ft ladder is leaning against a wall. If the bottom of the ladder is pulled alone the ground away from the wall at a constant rate of 5ft/sec, how fast will the top of the ladder be moving away
Given the quadratic equation y = 5x2-3x+7 .What is the ordered pair that defines the y-intercept?
Find the point (x and y coordinates) where the function is horizontal. Write the equation of the tangent line at that point. Find the equations of the two tangent lines to the function that pass through the point (3, 2).
a model used for the yield Y of an agriculuteral crop as a function of the notrogen level N in the soil(measured in appropriate units) is Y= kN/1+N^2 where k is a constant. What nitrogen level gives the best yield?
Khairul orders one set meal at a restaurant which offers 20% discount. There is a service charge of 10% and GST is at 7%. Given that he pays a total of $23.54, what is the marked price of the set meal
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