Questions asked by Cassidy R.

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• Which has a greater volume: 1000g of water or 1000g of ethanol? i found it and put in in sig figs (because we're always supposed to) and the volumes are both 1000mL. should i say they're equal, or base it off the actual values w/o considering sig figs?
  
• What transformations are applied to #y = 4 - | x + 2 |# ? (parent function: #f(x) = | x |# )
  
• What is the energy of an element whose emission spectrum has a wavelength of 450 nm? i don't need an explanation; i just want to see if my answer's correct. ( 4.4 x 10^-19 J)?
  
• Paper airplane follows the path #y=-2x^2+20x+1# where y represents the height of the paper airplane in feet and x represents the seconds it has traveled. what is the time before the airplane will reach 15 feet?
  
• The equation #x^2+y^2=25# defines a circle at the origin and radius of 5. The line #y = x + 1# passes through the circle. What are the point(s) at which the line intersects the circle?
  
• Kendall can paint a whole set in 10 hours. when she works together with dan, they can paint the set in 6 hours. how long would it take dan to paint the set alone?
  
• The reciprocal of half a number increased by half the reciprocal of the number is 1/2. what is the number?
  
• You have found a fossilized leg bone of some unknown mammal. Based on the size of the bone, you determine that it should have contained about 100 g of carbon-14 when the animal was alive. The bone now contains 12.5 g of carbon-14. How old is the bone?
  
• What are the four integral values of x for which #x/(x-2)# has an integral value?
  
• Sara agrees to buy a car for a down payment of $3000 and payments of $315 per month for 4 years. If the interest rate is 4.25% per year, compounded monthly, what is the actual purchase price of the car?
  
• A coin is dropped from a height of 750 feet. The height, *s* (ft), at time *t* (sec), is given by #s=-16t^2+750#. How long does it take for the coin to hit the ground?
  
• Let #f(x)=(5/2)sqrt(x)#. The rate of change of f at #x=c# is twice its rate of change at #x=3#. What is the value of c?
  
• Find the point(s) (if any) of horizontal tangent lines for the equation #x^2+xy+y^2=6#. If none exist, why?
  
• Factor #36x^3+12x^2-72x-24# ?
  
• A differentiable function #f# has only one critical number: #x=-3#. Identify the relative extrema of #f# at (-3, f(-3)) if #f'(-4)=(1/2)# and #f'(-2)=-1#?
  
• What are all the points of inflection of #f(x)=(1/12)x^4-2x^2+15#?
  
• A right cylindrical water tank with a diameter of 3 feet and a height of 6 feet is being drained. At what rate is the volume of the water in the tank changing when the water level of the tank is dropping at a rate of 4 inches per minute?
  
• The function #f(t)=5(4)^t# represents the number of frogs in a pond after #t# years. What is the yearly percent change? the approximate monthly percent change?
  
• How do you evaluate #intcos(x)/(9+sin^2x)dx#?
  
• How do you solve the separable differential equation #dy/dx = e^(x-y)#?
  
• How do you solve the separable differential equation #dy/dx=(cosx)e^(y-sinx)#?
  
• How do you solve the separable differential equation #dy/dx=(cosx)e^(y+sinx)#?
  
• What are all the values for #k# for which #int_2^kx^5dx=0#?
  
• For what value of #x# is the slope of the tangent line to #y=x^5 -x^2 +sinx# undefined?
  
• What is the general solution of #dy/dx = ysinx#?
  
• For what value of #x# is the slope of the tangent line to #y=x^7 + (3/x)# undefined?
  
• What is the limit as x approaches 1 of #5/((x-1)^2)#?
  
• Related rates problem?