How to determine if an equation represents y as a function of x? How to determine whether a function is a polynomial or not? Find an expression for a cubic function f if f(1) = 24 and f(-3) = f(0) = f(2) = 0. Find an expression for a cubic function f if f(5) = 80 ...
Differential Equation: The differential equation is solved by first separating them in integrable form, separating the variables too. Then we just integrate and get the final solution with the constant term attached to the solution. Thus the integration metho...
Related to this Question Consider the equation x^2 y - y^3 = z. Assuming x, y, and z depend on time t, find {dy} / {dt} when x = 1, y = 3, {dx} / {dt} = -2, and {dz} / {dt} = 4. Using linearity of Cross product show that (v+w) \times (v-w) = 2v \...
If the equation y = asin(b(x - h)) + k is given, the amplitude is |a|. What is the formula to find amplitude? Amplitude is half of the difference between the max and min values of a periodic function. Therefore, amplitude = (max - min)/2. How do you find the amplitude of ...
It can be hard to find the perfect sample size for statistically sound results. Here we reveal methods and tools for effective sample size determination.
(If you’ve forgotten how to find α/2, see the directions in: How to Find a Confidence Interval for a Proportion above) zα/2=0.13 Step 3: Enter your data into the following formula and solve: If formulas scare you, here’s the step-by-step to solve the equation (refer back to...
If f(x) tends to – as x tends to an or b, f(c) is the greatest and most extreme value. Maxima and Minima Examples: Example 1: Find the points of maxima and minima of a function: y = 2x3 –3x2 + 6 Solution Given function: y = 2x3 –3x2 + 6 Using the second order ...
How many solutions (using only nonnegative integers) are there to the following equation? x1+x2 +x3+ x4+ x5 = 34 Find the number of solutions of 2{x} - 1 = nx, where n in (2, infinity) and represents the fractional part of x. How many possible solutions exist for the...
PFF curves aren't always two-dimensional; as we'll discuss in the next section, consider how companies can have dozens if not hundreds of products to manufacture. Example of PFF Curve Imagine a company faced with the decision to produce either guns or butter. The PPF represents the maximum ...
profits for the company and its shareholders, it is considered an “extraordinary item” because there is no reason to believe the company can repeat that transaction in the future. Shareholders might be misled if the windfall is included in the numerator of the EPS equation, so it is ...