Answers created by Vinicius M. G. Silveira
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Question #70111

If #A= <3 ,8 ,1 ># and #B= <0 ,4 ,2 >#, what is #A*B A B#?

Question #efb13

How do you prove that the limit of #3x+5=35# as x approaches 10 using the precise definition of a limit?

How do you find the linearization of the function #z=xsqrt(y)# at the point (7, 64)?

How do you use cos(t) and sin(t), with positive coefficients, to parametrize the intersection of the surfaces #x^2+y^2=25# and #z=3x^2#?

Let #h(x) = e^(x) + kx#, where #k# is any constant. For what value(s)
of #k# does #h# have critical points?

How do you find dz/dx and dz/dy of #ln(xy+yz+xz) = 5# if x, y, and z are all positive?

How I do I prove the Product Rule for derivatives?

What is the gradient of the function #p(x,y)=sqrt(244x^2y^2)#?

If a sprinkler distributes water in a circular pattern, supplying water to a depth of #e^r# feet per hour at a distance of r feet from the sprinkler, what is the total amount of water supplied per hour inside of a circle of radius 11?

What is meant by a convergent sequence?

What is meant by the limit of an infinite sequence?

How is simple harmonic motion related to Hooke law?

What is the limit of the Fibonacci sequence?

What is the integral of an integral?

What is the derivative of the work function?

How is the pythagorean theorem related to the distance formula?

Question #5003d

When testing for convergence, how do you determine which test to use?

What is the integral of #sin(x)#?

What is the limit as x approaches infinity of #e^(3x) cos(x)#?

How do I find the limit of a series?

How do you find a Power Series solution of a nonhomogeneous differential equation?

How do you find a Power Series solution of a linear differential equation?

How do you use a Maclaurin series to find the derivative of a function?

What is the integral of #sin(x) cos(x)#?

What is the derivative of f(g(h(x)))?

How is a cardioid a special type of limacon?

What is the derivative of kinetic energy with respect to velocity?

How do you find the parametric equations of a curve?

Question #75e1d

What is the integral of a constant?

How do I find the limit of a convergent sequence?

What is the integral of #ln(x^2)#?

What is scalar multiplication of matrices?

What is the maximum value that the graph of #y=cos x# assumes?

What is the derivative of #e^3#?

Question #dea0d