Answers created by Vinicius M. G. Silveira
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Question #70111
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If #A= <-3 ,8 ,-1 ># and #B= <0 ,-4 ,2 >#, what is #A*B -||A|| ||B||#?
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Question #efb13
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How do you prove that the limit of #3x+5=35# as x approaches 10 using the precise definition of a limit?
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How do you find the linearization of the function #z=xsqrt(y)# at the point (-7, 64)?
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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#?
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Let #h(x) = e^(-x) + kx#, where #k# is any constant. For what value(s)
of #k# does #h# have critical points?
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How do you find dz/dx and dz/dy of #ln(xy+yz+xz) = 5# if x, y, and z are all positive?
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How I do I prove the Product Rule for derivatives?
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What is the gradient of the function #p(x,y)=sqrt(24-4x^2-y^2)#?
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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?
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What is meant by a convergent sequence?
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What is meant by the limit of an infinite sequence?
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How is simple harmonic motion related to Hooke law?
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What is the limit of the Fibonacci sequence?
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What is the integral of an integral?
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What is the derivative of the work function?
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How is the pythagorean theorem related to the distance formula?
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Question #5003d
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When testing for convergence, how do you determine which test to use?
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What is the integral of #|sin(x)|#?
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What is the limit as x approaches infinity of #e^(-3x) cos(x)#?
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How do I find the limit of a series?
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How do you find a Power Series solution of a nonhomogeneous differential equation?
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How do you find a Power Series solution of a linear differential equation?
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How do you use a Maclaurin series to find the derivative of a function?
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What is the integral of #sin(x) cos(x)#?
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What is the derivative of f(g(h(x)))?
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How is a cardioid a special type of limacon?
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What is the derivative of kinetic energy with respect to velocity?
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How do you find the parametric equations of a curve?
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Question #75e1d
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What is the integral of a constant?
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How do I find the limit of a convergent sequence?
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What is the integral of #ln(x^2)#?
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What is scalar multiplication of matrices?
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What is the maximum value that the graph of #y=cos x# assumes?
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What is the derivative of #e^3#?
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Question #dea0d