Questions asked by Z Vasquez

• Back to user's profile
• Approximate the value #0.2# using the tangent line to #f(x)=e^x# at point #x=0#?
  
• Approximate the value of ln(1.1) using the tangent to f(x)=lnx at point x=1?
  
• Approximate the value of ^3 sqrt 27.3 using the tangent line of f(x)= ^3 sqrt x at point x= 27?
  
• Find the derivative using logarithmic differentiation?
  
• Compute the derivative of the given function?
  
• Find the equation of the tangent line, in a slope intercept form, to the curve?
  
• Find the derivative using the derivative rules?
  
• Find the derivative using logarithmic differentiation?
  
• Find the derivative y'=dy/dx of the following function using the derivative rules?
  
• 1. find the domain 2. find vertical asymp 3. find horizontal asymp 4. find the critical points and intervals of increase and decrease of f(x) 5. Find the inflection points and intervals of concavity 6. Evaluate f(x) at rel max & min & at inflection point?
  
• Solve this problem using l'hopital's rule?
  
• Water flows on to a flat surface at a rate of 5cm3/s forming a circular puddle 10mm deep. How fast is the radius growing when the radius is? 1cm? 10cm? 100cm?
  
• A circular balloon is inflated with air flowing at a rate of 10cm^3/s. How fast is the radius of the balloon increasing when the radius is: 1cm? 10cm? 100cm?
  
• Sand pours from a chute and forms a conical pile whose height is always 2 times the base radius. If the base radius of the pile increases at a rate of 7 feet/hour, find the rate of change of the volume of the conic pile, when the base diameter of the..?
  
• Find the derivative?
  
• In Exercises 9, a graph of a function f(x) is given. Using the geometry of the graph, evaluate the definite integrals?
  
• Wire of length 20m is divided into two pieces and the pieces are bent into a square and a circle. How should this be done in order to minimize the sum of their areas? Round your answer to the nearest hundredth?
  
• If a snowball melts so its surface area decreases at a rate of 1 cm^2 /min , find the rate at which the diameter decreases when the diameter is 6 cm?
  
• Sand pours from a chute and forms a conical pile whose height is always equal to its base diameter. The height of the pile increases at a rate of 5 feet/hour. Find the rate of change of the volume of the sand..?
  
• A farmer wishes to enclose a rectangular plot using 200 m of fencing material. One side of the land borders a river and does not need fencing. What is the largest area that can be enclosed?
  
• Evaluate the following limit. DO NOT USE L'Hospital Rule?
  
• Find the derivative using the derivative rules?
  
• Find the derivative using the derivative rules ?
  
• Is this valid or invalid? prove it with a truth table.
  
• Give a direct proof of the statement: "If an integer n is odd, then 5n-2 is odd"?
  
• What conclusion can be drawn from the following statements? If I play football, then I am sore the next day. If I am sore I use the whirlpool. I did not use the whirlpool.
  
• Negate: Every student in this class speaks both Spanish and French. ?
  
• Show that the propositions p and p v (p ^ q) are logically equivalent? Must do a truth table.
  
• Is it true that if g is one-to-one then f o g must be one-to-one? Give a proof or a counterexample.
  
• Prove by induction that for every n ≥ 1 we have?
  
• How does (k+2)(k+1)!-1 simplify to (k+2)!-1?