Questions tagged 'Mathematics'
325 questions
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 + 3 sin θ?
Determine whether the graph of the equation ( r = 2 + 3 \sin \theta ) is symmetric about the x-axis, the y-axis, or the origin. Please explain your reasoning and provide any necessary calculations to...
if 3x^2 – 2x 7 = 0, then ( x – 1/3 ) ^2 = ?
Given the equation (3x^2 - 2x - 7 = 0), how can I determine the value of ((x - \frac{1}{3})^2)?
The result of (3.8621 × 1.5630) – 5.98 is properly written as ?
My answer was: 0.0564623. My tutor, who is a chemistry expert, agreed that rounding my answer to 0.056 was correct. However, my instructor insists the correct answer is 0.06. The question was stated e...
What is one third of an eighth?
What is one third of an eighth? Specifically, how do you calculate 1/8 divided by 1/3?
Dante is making a necklace with 18 rows of tiny beads in which the
Dante is creating a necklace consisting of 18 rows of tiny beads, where the number of beads in each row is defined by the series 3, 10, 17, 24, ... a. Please use summation notation to express this se...
Simplify the following complex fraction::?
Simplify the following complex fraction: [ \frac{n - 6}{n^2 + 11n + 24} \div \frac{n + 1}{n + 3} ]
Find f. f ”(x) = x^−2, x > 0, f(1) = 0, f(8) = 0?
I am trying to find the function ( f ) given that ( f''(x) = x^{-2} ) for ( x > 0 ), with the conditions ( f(1) = 0 ) and ( f(8) = 0 ). My current solution is ( f(x) = -\ln(x) + ( \ln(8) ) x - \ln(...
Which expression is equivalent to log18 – log(p + 2)?
What is an equivalent expression for log(18) – log(p + 2)?
how do you solve a^2-2a-3/a^2-9a+18 – a^2-5a-6/a^2+9a+8?
How do you solve the following expression: (\frac{a^2 - 2a - 3}{a^2 - 9a + 18} - \frac{a^2 - 5a - 6}{a^2 + 9a + 8}?) I would appreciate a detailed breakdown of the steps involved in simplifying this...
Please help! Find the dimensions of a rectangle with area 1000 m2 whose perimeter is as small as possible.?
I need assistance in finding the dimensions of a rectangle that has an area of 1000 m² and whose perimeter is minimized. What are the optimal dimensions that meet these criteria? Thank you!