## Math Questions and Answers

Test your understanding with practice problems and step-by-step solutions. Browse through all study tools.

Stuck on a tricky math problem that you can't seem to work through? Don't panic - Study.com has the solutions to your toughest math homework questions explained step by step. Can't find your question in our library? Go ahead and ask it. Our math experts are ready to help.

Study tools on Study.com

27,000 + Video Lessons

920,000+ Questions and Answers

65,000+ Quizzes

Test your understanding with practice problems and step-by-step solutions. Browse through all study tools.

Discuss how relevant information is used to make short-term decisions and how pricing affects short-term decisions.

Differentiate between process improvement framework and problem-solving framework.

Farmer Brown had ducks and cows. One day, he noticed that the animals had a total of 12 heads and 44 feet. How many of the animals were cows?

What is the value of the product (2i)(3i)?

Show a separate graph of the constraint lines and the solutions that satisfy each of the following constraints: a. 3A + 2B ? 18 b. 12A + 8B ? 480 c. 5A + 10B = 200

Who are some modern male mathematicians? Discuss their contribution to the field of mathematics.

How is abstract algebra related to systems biology?

Complete the operation. (-a - 6b + 4)3ab

In systems biology, what is the difference between whole-cell simulations and metabolic models?

Explain: I study engineering but I have a problem with mathematics, always when it come to mathmatic I struggle how to overcome such a problem

Find c1 and c2 so that y(x)=c1sinx+c2cosx will satisfy the given conditions 1. y(0)=0, y'(pi/2)=1 2.y(0)=1, y'(pi)=1

What are some examples of Godel's incompleteness theorem in biological systems?

Find the curvature of the curve r(t). r(t) = (10 + ln(sec \ t)) \ i + (8 + t) \ k, \frac {-\Pi}{2} < t < \frac {\Pi}{2} \\r(t) = (3 + 9 \ cos \ 2t) \ i - (7 + 9 \ sin \ 2t) \ j + 2 \ k

Is it essential to have some background in math to pursue a branch of biology?

The chemistry teacher at Stevenson High School is ordering equipment for the laboratory. She wants to order sets of five weights totaling 121 grams for each lab station. Students will need to be ab...

What are some salient examples where systems biology has helped explain a complex process?

Sam sold 39 loaves of bread in 9 days. Lucky sold 54 loaves of bread in 9 days 6 loaves per day. What is maximum number of days on which Sam sold more loaves of bread than Lucky?

! Exercise 3.5.1 : On the space of nonnegative integers, which of the following functions are distance measures? If so, prove it; if not, prove that it fails to satisfy one or more of the axioms. (...

Find equations for the following: (a) The plane which passes through the point (0,0,1) which is also orthogonal to the two planes x=2 and y=19. (b) The plane parallel to the plane 2x-3y=0 and passi...

A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. If the perimeter of the window is 37 ft, express the area, A, as a function of the width, x, of the w...

Find y as a function of x if (x^2)*y double prime + 2x*y prime - 30y = x^6, y(1) = 6, y prime (1) = -5.

If \gamma(\frac{8}{3}) = a find \gamma(\frac{1}{3}).

How was Mayan mathematics different from math today?

Determine whether the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive, where (x,y)inR if and only if a. x+y=0 b. x= y c. x-y is a rational numb...

Consider an experiment in which equal numbers of male and female insects of a certain species are permitted to intermingle. Assume that M(t)=(0.1t+1)ln(\sqrt {(t)}) represents the number of makin...

The producer of a certain commodity determines that to protect profits, the price p should decrease at a rate equal to half the inventory surplus S-D , where S \enspace and \enspace D are r...

What is: 57696978054 * 56777544 / 4?

Solve: h(s) = (35 - 2)^\frac {-5}{2}

Find the derivative, second derivative, and curvature at t = 1. For the curve given by r(t) = (-9t, 4t, 1 + 8t^2).

Find the average value of the function on the given interval. f(x) = x + 1; [0, 15]

Show that the series is convergent.

Find the interval of convergence of the series \sum_{n=0}^\infty \frac{(x+5)^n}{4^n}

A) Find the limit: limit as x approaches infinity of arctan(e^x). B) Evaluate the integral: integral from 0 to (sqrt 3)/5 of dx/(1 + 25x^2).

Find curl F for the vector field F = z\sin x i -2x\cos y j +y\tan z k at the point (\pi, 0, \pi/4)

Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 8, 0).

Solve the given differential equation. (6x) dx + dy = 0. (Use C as the arbitrary constant.)

Find the limit. Limit as y approaches 1 of (1/y - 1/1)/(y - 1).

Find an equation of the set of all points equidistant from the points A(-1, 6, 3) and B(5, 3, -3).

Find an equation of the plane. The plane through the origin and the points (2, -4, 6) and (5, 1, 3).

Find all three sides of the triangle with vertices P(2, -1, 0), Q(4, 1, 1), and R(4, -5, 4).

Let F = (6xyz + 2sinx, 3x^2z, 3x^2y). Find a function f so that F = \bigtriangledown f , and f(0, 0, 0) = 0 .

Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(2, 0, 2), Q(-2, 3, 6), R(5, 3, 0), S(-1, 6, 4).

Find the slope of the curve: x^3 - 3xy^2 + y^3 = 1 at the point (2, -1).

Find an equation for the plane consisting of all points that are equidistant from the points (7, 0, -2) and (9, 12, 0).

Eliminate the parameter t to determine a Cartesian equation for: x = t^2, y = 8 + 4t.

Evaluate the integral: integral of 2sec^4 x dx.

Find the radius and interval of convergence of the summation \sum_{n=1}^\infty \frac{ (x+2)^n}{n4^n}

Find all the values of x such that the series \sum_{n=1}^\infty \frac{(5x-9)^n}{n^2} would converge.

Write the equation 5x + 4y + 7z = 1 in spherical coordinates

Find the point(s) at which the function f(x) = 2 - x^2 equals its average value on the interval [-6,3] .

Find an equation of the tangent line to the curve y = x^3-3x+1 at the point (1,-1)

If f(2) = 15 and f '(x) \geq 2 for 2 \leq x \leq 7 , how small can f(7) possibly be?

Let f(x) = 7x^2 - 2 to find the following value. f(t + 1).

Let f(x) = 2x^2 - 2 and let g(x) = 5x + 1. Find the given value. f(g(-1)).

Find an equation of the plane consisting of all points that are equidistant from (5, 3, -4) and (3, -5, -2), and having -2 as the coefficient of x.

Find an equation for the plane consisting of all points that are equidistant from the points (-5, 4, 3) and (1, 6, 7).

Solve the differential equation (\sin 2x)y'=e^{5y}\cos 2x

Find the derivative of the function. F(t) = e^(2t*sin 2t).

Find an equation for the plane consisting of all points that are equidistant from the points (-6, 2, 3) and (2, 4, 7).

Find the coordinates of the point(s) on the parabola y = 4 - x^2 that is closest to the point (0, 1).