Answers created by Jake M.

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• In a word problem about ballistics, what does the absolute maximum of a quadratic function represent?
  
• Is the polar function #5-4 sin theta# symmetric with respect to the y axis?
  
• Let #F(x)=6-x# and #g(y)=sqrty#, how do you find each of the compositions and domain and range?
  
• What is the sum of the geometric sequence -3, 18, -108, … if there are 7 terms?
  
• How do you find the end behavior of #f(x) = –x^4 – 4#?
  
• A toy boat floats on water and has a mass of 250 grams. What is the lowest volume possible that the boat can have before it sinks?
  
• Physics Help?
  
• What is relative speed between two objects?
  
• Why do the metal fins in the refrigerator get warm? what is the source of this heat?
  
• Are radioactive ions a thing?
  
• Two objects have masses of #24 MG# and #42 MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #54 m# to #32 m#?
  
• Why do objects at rest contain energy?
  
• What is the moment of inertia of a pendulum with a mass of #7 kg# that is #2 m# from the pivot?
  
• Damping is a phenomenon of free oscillation or also of forced oscillation?
  
• How electron produce both magnetic and electric field?
  
• According to Einstein's Theory of General Relativity, in addition to curving space, what else does matter do to cause objects to move toward each other?
  
• Write y=t+6/t and x=6/(t)(1/2) in rectangular form?
  
• How do you divide #(9x^3+5)div(2x-3)# using long division?
  
• What are the similarities and differences between gravitational and electric fields?
  
• What is a limit from below?
  
• How does acceleration affect motion?
  
• For which values of the Riemann zeta function #zeta(s)# has #s# not been proved?
  
• How does the frequency of vibration of a small object floating in water compare to the number of waves passing it each second?
  
• What is the graph of # r = a ± a cos θ#?
  
• How do you graph and determine if #y=(4/3)^x# is a growth or decay?
  
• How do electric fields accelerate particles?
  
• How do I use the Binomial Theorem to expand this binomial? #(x - 5y)^5#
  
• If an object is moving at #3 m/s# and accelerates to #51 m/s# over 12 seconds, what was the object's rate of acceleration?
  
• Consider the function f(x) = 2x^3+1. a) What is the ordered pair (4, f(4)) on the function? b) What is the ordered pair on the inverse relation that corresponds to the ordered pair from part a)?
  
• How do I find the area inside the cardioid #r=1+costheta#?
  
• Prove #lim_(xrarr5)(2x+4)=14#?
  
• Prove that #((1/2)!)=sqrt(pi)/2#?
  
• What is the value of the fourth term in this sequence? 36, 37, 38, 39, 40
  
• How do you evaluate #(log_(10)x)^2#?
  
• Given that log 5.0 = 0.6990 and log 5.1 = 0.7076, find to the nearest hundredth a value of x for which log x = 0.7060. Can anyone solve this and provide an explanation? Thanks!
  
• How do I find the time when a line intersects a circle with a constantly changing radius?
  
• A force is given as F=x+5y-z. How do you calculate the magnitude of the force in the direction of the vector A=-3x+2y-2z?
  
• If the equation given is #y=2x^2# and the point given is (-1,2), how would you find the p value from the form #(x-0)^2=4p(y-k)#?
  
• Please explain meaning of exp function how to use it .E.G in this (y = exp((sin^2x + sin^4 x + sin^6 x +........infinity)*ln2) ) part. ?
  
• For an annual rate of change of –31%, how do you find the corresponding growth or decay factor?
  
• How do you divide #(9x^4-x^2-6x-2x)/(3x-1)#?
  
• How do you identify equations as exponential growth, exponential decay, linear growth or linear decay #f(x) = 3 (1/2) ^2#?
  
• What is the constant of proportionality for y=2x+4?
  
• Can u help me write an equation for each translation of y=|x|? 6 units left
  
• How do you convert #7.121 x 10^9# into expanded notation?
  
• How do you graph #f(x) = -(x-2)(x + 5)#?
  
• How do you condense #Ln 3 − 2 ln(8 + 4) #?
  
• What is the sum of all integral powers of 2 from 1 to 1050?
  
• What is the derivative of #f(t) = (t/(t+2) , t/(t^2-1) ) #?
  
• Shehkar pulls 31 coins out of his pocket. each coin is either a dime or a quarter. if he has a total of 5.95, how many dimes does he have?
  
• How to find instantaneous rate of change for #x^3 +2x^2 + x# at x from 1 to 2?
  
• How do you find the intervals on which the function is continuous given # y = sqrt(5x + 9)#?
  
• How do you use transformations to describe the relationship between the graph of f(x) = x and the graph of #h(x) = -1/15x + 12#?
  
• How do you use the important points to sketch the graph of #x^2 - 5x - 6#?
  
• Zero and Divisions. In # f(x) = (27x-(3^x)x) / ((3^x)x-9x)# find the Zero, Undefined, and Indeterminate. Please teach me how?
  
• How do you find the compositions given #f(x)=2-x# and #g(x)=2/(5-x)#?
  
• How do you graph #abs(x+y)>1#?
  
• How do you factor completely #x^3-x^2-x+x#?
  
• In 1996 the population of Russia was 148 million and the population of Nigeria was 104 million. If the populations of Russia and Nigeria grow at annual rates of -0.62% and 3.0%, respectively, when will Nigeria have a greater population than Russia?
  
• How do you integrate #int 1/sqrt(9x-12sqrtx-1) # using trigonometric substitution?
  
• What is meaning of increasing and decreasing function?see the marked question?
  
• Solve the following differential equation?
  
• How do you find limits involving trigonometric functions and infinity?
  
• Why,in many problems,in order to get the Laurent series of a function at its singular point,Taylor series is used?For example to find Laurent expansion of zcos(1/z) about z=0,Taylor expansion of cos(1/z) about z=0 is used whereas it is its singular point.
  
• For what values of x is #f(x)= e^x/(x^2-x) -e^x# concave or convex?
  
• Y =x√(2x + 1)/e^xsin^3(x). what is the Derivative?
  
• What is the slope of the line normal to the tangent line of #f(x) = x^2e^(x-1)+2x-2 # at # x= 1 #?
  
• What is the distance between the following polar coordinates?: # (2,(3pi)/4), (1,(15pi)/8) #
  
• What will be the expansion of #sqrt(x+h)# in powers of #x and h#?
  
• How do you find the volume of a solid that is enclosed by #y=1/x#, x=1, x=3, y=0 revolved about the y axis?
  
• Show that? #(P(N', n))/(P(N,n)) ~~ ((N')/N)^n# #(N', N, n) in ZZ^+# #(N', N )">>" n# #P(x,y) = (x!)/((x-y)!)# Stirling Approx allowed
  
• How do you evaluate the limit #cscx# as x approaches #0^+#?
  
• How to calculate the slope of the line tangent to the graph of?
  
• How to find the area of the region inside the cardioid?
  
• What are the critical values of #f(x)=e^(x^2)-x^2+xe^x-5x+6e^x#?
  
• What is the Cartesian form of #( -1, (4pi)/3 ) #?
  
• At what point does the line #(x+4)/2 = (y-6)/-1 = (z+2)/4# meet the coordinate planes?
  
• The sum of the measures of the interior angles of a polygon is 720°. What type of polygon is it?
  
• The length of a rectangle is 5 inches more than the width. The perimeter is 46 inches. What are the length and the width of the rectangle?
  
• What's the distance between points (3, 8, 0) and (−2, 9, −4), and the midpoint of the segment for which these are the endpoints?
  
• Why are the hyperbolic functions defined using #e#? Why not some other constant?
  
• How do you write the first five terms of the sequence #a_n=(-1/2)^n#?
  
• How do you write x=2sec(t) and y=3tan(t) in rectangular form?
  
• Can someone help me solve this massive problem please? Thanks!
  
• Someone please help me with this question?
  
• Consider the line passing through the point P, whose position vector is 9 i − 9 j, and parallel to the vector −4 i − 7 j. Find a cartesian equation for the line?
  
• Triangle A has sides of lengths #1 3 ,1 4#, and #1 8#. Triangle B is similar to triangle A and has a side of length #4 #. What are the possible lengths of the other two sides of triangle B?
  
• What is the equation using ae^rx model and the points (-3,800) and (1,50)?
  
• How do you solve for x in #x+log_2x=6# ?
  
• How do you use De Moivre's theorem to solve the equation below?
  
• How do you solve #3^(x^2) + 4x = 1/27#?
  
• Find the binding energy of , whose atomic mass is 12.019 u?
  
• What is the cross product of #[1,-1,3]# and #[5,1,-3] #?
  
• Given the electrical potential energy, how do you calculate electric potential?
  
• Find the coordinate of the vertices foci, end points of the minor axis, center, latus recta, the equation of the directrices, sketch the equation of #x^2+9y^2-24x-54y+51=0#?
  
• What is the height of the platform?
  
• Kingda ka at six flags has a 55m drop. The rollercoaster has a mass of 8000kg. How fast it be travelling when it reaches the bottom?
  
• If an interval is closed, can it be unbounded?
  
• Exponential functions... Can someone help me solve this?
  
• How do you find the exact value of sin2x using the double angle formula?
  
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