Finding a missing side in a 30 60 90 special right triangle Website: A Quick Guide to the 30-60-90 TriangleLinks to an external site. Reference: By: Mary Jane Sterling and Updated: 08-08-2022 From The Book:  Pre-Calculus For Dummies, By: Mary Jane Sterling and, and, M. J. S.,  08-08-2022, U., From The Book: Pre-Calculus For […]

Continue applying the techniques of finite difference methods; but this time, you'll be taking second derivatives, and analyzing how the error in the estimate changes with mesh size.  SEE ATTACHMENT EngineeringAppliedExercise2.docx Many engineering applications of differential calculus involve second derivatives. For example, Newton's second law can be written in the form where "r" represents position and […]

  Find a resource with a tutorial/ information that will help you  create a specific, original, math problem related to your topic.   Remember, you are NOT teaching the whole topic, but just how to solve ONE PROBLEM you've created.  You  must cite your source in APA format.  (Even if you know how to create  and […]

  Calculate the derivatives of polynomial, exponential, logarithmic, and trigonometric functions.   However, there are many engineering applications in which we need to  take the derivative of a function that is too complex to be written in  any of these forms.  SEE ATTACHED FILE EngineeringAppliedExercise.docx You'll apply these same ideas to calculate derivatives using two finite […]

1.  Given the demand function D(p)=100−3p^2, Find the Elasticity of Demand at a price of $4   At this price, we would say the demand is: Inelastic Elastic Unitary Based on this, to increase revenue we should: Raise Prices Keep Prices Unchanged Lower Prices 2.  Given that f'(x)=−5(x−5)(x+4), The graph of f(x)f(x) at x=3 is […]

1.  Given the demand function D(p)=100−3p^2, Find the Elasticity of Demand at a price of $4   At this price, we would say the demand is: Inelastic Elastic Unitary Based on this, to increase revenue we should: Raise Prices Keep Prices Unchanged Lower Prices 2.  Given that f'(x)=−5(x−5)(x+4), The graph of f(x)f(x) at x=3 is […]

1.  Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y=2x^2 and y=x^2+8. Farmer Jones thinks this would be much harder than just building an enclosure with straight sides, but he wants […]

1.  Evaluate the integral ∫x5(x^6−10)^47dx by making the substitution u=x^6−10. =_+C 2. Evaluate the indefinite integral. ∫7dx/xln(8x) =_  + C 3.  Evaluate the indefinite integral. ∫x^8e^x^9dx =_+C 4.  Evaluate the indefinite integral. ∫x4(15+x^5)^1/2dx =_+C 5.  Evaluate the indefinite integral. ∫4/(t+5)^8 dt =_+C 6.  Evaluate the indefinite integral:  ∫x/x^2+4 dx =_+C 7.   A cell culture contains […]

  For any given vertical (or horizontal) stretch or shrink, is there a  corresponding horizontal (or vertical) stretch or shrink which gives  rise to the identical graph transformations? Explain your reasoning. There will be a corresponding horizontal/vertical  stretch/shrink because changing one will change the position of the  curve based on the input entered. Describe a […]

  Explain one of the following rules for finding derivatives using both the formula and an example.   1.Constant Rule 2.Sum and Difference Rule 3.Power Rule 4.Product Rule 5.Quotient Rule 6.Chain Rule 7.Marginal Cost 8.Marginal Revenue 9.Marginal Profit