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(24-4x^2-y^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