Purchase Solution

Mathematics - Calculus

Not what you're looking for?

Ask Custom Question

Find all the local maxima and minima and all the inflection points of y = 9x^4 - 11x^3 + 3x^2 + 1. Use the information to sketch Graph of this function, Make it big so everyone can see what is happening
(Please see the attached problem.)

Attachments
Purchase this Solution
Solution Summary

The expert finds the local maxima and minima for the inflection points. A Complete, Neat and Step-by-step Solution is provided in the attached file.

Solution Preview

The solution file is attached.

y = 9x^4 - 11x^3 + 3x^2 + 1
dy/dx = 36x^3 - 33x^2 + 6x = 3x(12x^2 - 11x + 2) = 3x(12x^2 - 3x - 8x + 2)
= 3x[3x(4x - 1) - 2(4x - 1)] = 3x(4x - 1)(3x - 2)

For local maxima or ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Solving Equations

    A survey of college sophomores showed that of the males were taking mathematics class and of the females were taking a mathematics class. One third of the males were enrolled in calculus and of the females were enrolled in calculus.

  • Word problem with fractions

    One-third of the males were enrolled in calculus, and 1/5 of the females were enrolled in calculus. If just as many males as females were surveyed then what fraction of the surveyed students taking mathematics were enrolled in calculus?

  • Mathematics - Vector Calculus

    Vector calculus in mathematics is examined. A Complete, Neat and Step-by-step Solution is provided.

  • Clarification of Mathematics - Calculus

    The clarification of mathematics in calculus is determined. A Complete, Neat and Step-by-step Solution is provided.

  • Quick Calculation of Laplace Integral

    I = S e^(-x^2) dx infinity --> infinity Laplace Integral I has numerous applications in different items of mathematics: calculus, differential equations, probability theory and statistics.

  • Description of Mathematics - Calculus

    216984 Description of Mathematics - Calculus Use integration to find the general solution of the differential equation: dy/dx = 1 / (1 + x) dy/dx = 1/(1 + x) dy = dx/(1 + x) Integrating on both sides, we get Integral dy = Integral [dx/(1

  • Mathematics - Calculus - Derivatives

    201073 Mathematics - Calculus - Derivatives Find y prime {See Attachment} The solution file is attached. Complete, Neat and Step-by-step Solutions are provided in the attached file.

  • Mathematics - Calculus in Commerce

    222602 Mathematics - Calculus in Commerce Production The output Q at a certain factory is related to inputs x and y by the equation: Q = x^3 + 2xy^2 + 2y^3 If the current levels of input are x = 10 and y = 20, use calculus to estimate the

  • History of Mathematical Happenings

    The developments in the field of mathematics in the 18th century and 19th century were concerned with the calculus, geometry, arithmetic, number theory, etc.

  • Mathematics - Calculus in Commerece - Marginal Revenue

    222637 Mathematics - Calculus in Commerce- Marginal Revenue The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit.

View More Related Solutions