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With Calculus, if we have two curves, or functions, with one independent variable, we can find the area bounded by both function finding x-axis coordinate of their interceptions points (integration limits) and solve an integral definite with the form: ...
All functions have certain properties, or distinct features, which can be very useful when trying to analyze them. The following common properties of functions describe how a graph is shaped, what happens as x-values increase, and whether the functions can be further analyzed with calculus: Domai...
Exponential functions have the variable x in the power position. For example, an exponential equation can be represented by: f(x) = bx. Like other algebraic equations, we are still trying to find an unknown value of variable x. One way to think of exponential functions is to think about ...
How to find maximum revenue calculus?The Revenue Function:The revenue function is a mathematical expression that shows the relationship between sales with various levels of output. The firm uses the function to make output decisions that maximize profit. For example, all the firms maximize profit ...
I took a Matlab course over the summer, and now have to graph a problem in calculus. I am rusty on my commands, so I'm not sure which one to use. I am trying to make a 3-d plot of a function f(x,y)=-(x^2-1)^2-(x^2y-x-1)^2. Do I have to open a function, or...
Let g(x) and h(y) be differentiable functions, and let f(x, y) = h(y)i+ g(x)j. Can f have a potential F(x, y)? If so, find it. You may assume that F would be smooth. (Hint: Consider the mixed partial derivatives of F.) How to answer this question? Wh...
Precalculus Skills Practice Jump to a specific example Instructors Kathryn Boddie View bio Marisa Bjorland View bio Steps for Finding Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Step 1:Find all intercepts. The {eq}x {/eq}-interc...
How to Use a Graphing Calculator to Find Zeros of a Polynomial Function: Example 1 Use a graphing calculator to find the zeros of the function {eq}f(x)=2x^{4} + x^{3} - 4x^{2} +x+2 {/eq}. Step 1:On a graphing calculator, press [y=]. ...
It is also called the reverse process of differentiation, where the function is disintegrated into parts to find the derivatives. Whereas integration, on the other hand, is used to find the antiderivatives of a function. Both the processes which constitute calculus are inverse of each other. How...