219 results for "root".
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Question in Anna's workspace
Find roots and the area under a parabola
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Question in College Algebra for STEM
Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them).
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Question in College Algebra for STEM
Given a randomised square root function select the possible ways of writing the domain of the function.
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Question in Calculus Math 5A
A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.
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Question in Calculus Math 5A
Find roots and the area under a parabola
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Question in College Algebra for STEM
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in Calculus Math 5A
The derivative of $\displaystyle \frac{ax+b}{\sqrt{cx+d}}$ is $\displaystyle \frac{g(x)}{2(cx+d)^{3/2}}$. Find $g(x)$.
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Question in College Algebra for STEM
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in College Algebra for STEM
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Exam (4 questions) in Engineering Maths through Applications
Indices and Roots: Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.
Intended for use as Homework Exercises.
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Question in Engineering Maths through Applications
Indices and Roots
Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.
Intended for use as Homework Exercises.
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Question in Engineering Maths through Applications
Indices and Roots
Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.
Intended for use as Homework Exercises.
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Question in Engineering Maths through Applications
Indices and Roots
Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.
Intended for use as Homework Exercises.
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Question in Engineering Maths through Applications
Indices and Roots
Questions based on Exercise Intro(b) from the Textbook "Engineering Maths through Applications" by Kuldeep Singh.
Intended for use as Homework Exercises.Indices and Roots
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Question in Andrew's workspace
Straightforward question: student must find the general solution to a second order constant coefficient ODE. Uses custom marking algorithm to check that both roots appear and that the solution is in the correct form (e.g. two arbitrary constants are present). Arbitrary constants can be any non space-separated string of characters. The algorithm also allows for the use of $e^x$ rather than $\exp(x)$.
Unit tests are also included, to check whether the algorithm accurately marks when the solution is correct; when it's correct but deviates from the 'answer'; when one or more roots is incorrect; or when the roots are correct but constants of integration have been forgotten.
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Question in MTH101 Assessment
Differentiate
\[ \sqrt{a x^m+b})\]
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Question in MY QUESTIONS
Calculating the square root of a complex number using De Moivre.
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Question in Kevin's workspace
Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$. Find both roots of the equation $q(x)=0$.
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Question in John's workspace
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in MY QUESTIONS
Find roots and the area under a parabola
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Question in MY QUESTIONS
Question is to calculate the area bounded by a cubic and the $x$-axis. Requires finding the roots by solving a cubic equation. Calculator question
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Question in MY QUESTIONS
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in MY QUESTIONS
Find modulus and argument of the complex number $z_1$ and find the $n$th roots of $z_1$ where $n=5,\;6$ or $7$.
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Exam (13 questions) in Maria's workspace
Questions about complex arithmetic; argument and modulus of complex numbers; complex roots of polynomials; de Moivre's theorem.
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Exam (3 questions) in Maria's workspace
Quiz covering basic arithmetic with complex numbers and solving roots for a quadratic with complex solutions
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Question in Johnny's workspace
Differentiate
\[ \sqrt{a x^m+b})\]
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Question in Integration
Find roots and the area under a parabola
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Question in Jo-Ann's workspace
Find roots and the area under a parabola
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Question in SREB Essentials for College Math
Students will analyze a graph of a quadratic function to identify the x-intercepts (or Roots, or Zeros).
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Question in Jo-Ann's workspace
Find roots and the area under a curve