Can we prove that this equation is positive or negative definite by factorizating it ?

p(x,y,z) = 3x2 + y2 +2z2 - 2xy +2xz - 2yz

Solve equation for unknown angle

I've been solving equations like 2(sinx)^2+sinx=1 that can be done using factoring and that's not too hard. But now I have an equation sinx-cosx=1/2 and nothing is squared so I don't know how to... more

If A+B matrix and A and B are invertible then prove :

(A-1 + B-1 )-1 = A(A+B)-1 B =B(A+B)-1 A


Calculus Trig EVP

Find the absolute minimum value of f(x) = 4sin^2(x) + 5cos^2(x)on [-pi, pi]

differential equation

Find the value of a for which the polynomial x^5-ax²-ax+1has −1 as a root with multiplicity at least 2.


Determine the constant term in the expansion of



find the arc length of the graph of the function over the indicated interval

y= 3/2x2/3 [1,8]


Find all solutions to equation sin t - cos t = 1

express results in radians


Calculus Question

Find the distance between the point P (−2,0,3) and the plane π: 2x − 3y + z − 6 = 0.


Help with linear algebra

is the function below a linear transformation? why or why not? T:C3 ---> C2, T([x1][x2][x3]) = [-1x1-7x2+3x3],[-1x1+8x3-5]


Is cluster sampling a form of random sampling?

I learned in my stats class that cluster sampling is when you divide the population into subgroups called clusters, pick some of the clusters randomly, then select every member of the chosen... more

Solve for exact solutions csc(4x)=1 [0,2pi)


What is the rule for the domain of 2,4,6,8 and the range of 2,3,4,5

Rule:?Domain: 2,4,6,8Range: 2,3,4,5


Finding Where the slope is Undefined

So I was helping a student with a problem today. The answer we tried to submit was wrong and I'm not sure I understand why.The question was:Find where the slope is undefined for x = 4sec(y)At first... more


Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. a. c. b. d.          Please select the best answer... more

Binomial distribution

Determine whether or not the procedure described results in a binomial distribution. Identify why or why not. Four hundred different voters in a region with two political parties; A and B, are... more

Find the domain. F(x)=(x+2)(x-2)/x^2+4


Parentheses Problem

I need to know where to put parentheses to get 10 in this problem 5 + 3 x 16 / 12 - 7 = 10/ = division

Example of a one-to-one function with required domain and range

I missed a question on my last quiz and I don't get why."Draw the graph of a function which is one-to-one and has domain [-5,4) and range [-8,5]."I didn't see how that is possible so I said "no... more

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.


Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.