Answers created by Costas C.

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• A soft tennis ball is dropped onto a hard floor from a height of 1.25 m and rebounds to a height of 1.05 m?
  
• A triangle has corners at #(5 ,6 )#, #(4 ,3 )#, and #(2 ,2 )#. What is the area of the triangle's circumscribed circle?
  
• An object with a mass of #2 kg#, temperature of #315 ^oC#, and a specific heat of #12 (KJ)/(kg*K)# is dropped into a container with #37 L # of water at #0^oC #. Does the water evaporate? If not, by how much does the water's temperature change?
  
• Question #a540a
  
• How do you solve #5x^2+98=0# using the quadratic formula?
  
• What is #f(x) = int -cos6x -3tanx dx# if #f(pi)=-1 #?
  
• Does temperature increase during melting?
  
• What is the density of the solid in the following problem?
  
• If #f(x) = sqrt(1+x)# and #g(x) = (3x^2)/(x^2+1)#, what is #g[f(x)]#?
  
• Question #bc6c7
  
• What is the limit of #ln(x+1)/x# as x approaches #oo#?
  
• How do you solve #lnx+ln(x-2)=1#?
  
• How do you find the absolute maximum and absolute minimum values of f on the given interval: #f(t) =t sqrt(25-t^2)# on [-1, 5]?
  
• For what values of x is #f(x)= x-x^2e^-x # concave or convex?
  
• Question #2566c
  
• What is #f(x) = int x/(x-1) dx# if #f(2) = 0 #?
  
• Question #7fb29
  
• Question #6bd6c
  
• An object is at rest at #(4 ,5 ,8 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(7 ,9 ,2 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
  
• How do you find the first and second derivative of #sin^2(lnx)#?
  
• How do you simplify #log_4 8#?
  
• Question #a4844
  
• The kinetic energy of an object with a mass of #1 kg# constantly changes from #243 J# to #658 J# over #9 s#. What is the impulse on the object at #3 s#?
  
• What is the derivative of #f(x) = (x^3-(lnx)^2)/(lnx^2)#?
  
• Question #c446e
  
• How do you find the limit of #sin((x-1)/(2+x^2))# as x approaches #oo#?
  
• Question #962b9
  
• How do you balance #BaCl_2 + Al_2S_3 -> BaS + AlCl_3#?
  
• The force applied against an object moving horizontally on a linear path is described by #F(x)=x^2-3x + 3 #. By how much does the object's kinetic energy change as the object moves from # x in [ 0 , 1 ]#?
  
• How are distance and changing velocity related to limits?
  
• How do you graph #f(X)=ln(2x-6)#?
  
• What steps would you take to determine the density of a rubber eraser?
  
• How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #F(x)=x^2- 4x -5#?
  
• How do you find f'(x) using the definition of a derivative #f(x) =sqrt(x−3)#?
  
• What are the critical values, if any, of #f(x)= x^3/(x+4)+x^2/(x+1)-x/(x-2)#?
  
• How do you simplify the expression #3sqrt(2x^2y)#?
  
• How do you find the asymptotes for #y= (x+1)^2 / ((x-1)(x-3))#?
  
• An object with a mass of #90 g# is dropped into #750 mL# of water at #0^@C#. If the object cools by #30 ^@C# and the water warms by #18 ^@C#, what is the specific heat of the material that the object is made of?
  
• Rob left Mark's house and drove toward the dump at an average speed of 45 km/h James left later driving in the same direction at an average speed of 75 km/h. After driving for 3 hours James caught up. How long did Rob drive before James caught up?
  
• A balanced lever has two weights on it, the first with mass #8 kg # and the second with mass #24 kg#. If the first weight is # 2 m# from the fulcrum, how far is the second weight from the fulcrum?
  
• What is the Cartesian form of #r-theta = -2sin^2theta-cot^3theta #?
  
• What is the maximum number of mols of copper (III) sulfide that can be formed when 8.0 mols of copper reacts with 9.0 mols of sulfur?
  
• What is #int xln(x)^2#?
  
• How do you convert #4=(x+8)^2+(y-5)^2# into polar form?
  
• How do you graph and solve # |2x-5| >= -1#?
  
• What is the equation of the line tangent to #f(x)=x^2 + sin^2x # at #x=pi#?
  
• How do you evaluate the integral of #int (dt)/(t-4)^2# from 1 to 5?
  
• How do you find the points where the graph of the function # f(x)=sin2x+sin^2x# has horizontal tangents?
  
• Using charles' law and understanding of what is happening at the particle level, explain why a marshmallow expands in size when you microwave it?
  
• How do you graph using the intercepts for #y=-6x-9#?
  
• In the reaction #2NaOH+H_2SO_4 -> 2H_2O+Na_2SO_4#, how many grams of sodium sulfate will be formed if you start with 200.0 grams of sodium hydroxide and you have an excess of sulfuric acid?
  
• What is the domain and range of #sqrt((5x+6)/2)#?
  
• How do you differentiate # f(x)=sqrt(ln(1/sqrt(xe^x))# using the chain rule.?
  
• A projectile is shot at an angle of #pi/12 # and a velocity of #4 m/s#. How far away will the projectile land?
  
• How do you simplify #(x^-1y^-2z^3)^-2 (x^2y^-4z^6)#?
  
• How do you find the area bounded by the curves #y = -4sin(x)# and #y = sin(2x)# over the closed interval from 0 to pi?
  
• How do you convert #-xy=-x^2+4y^2 # into a polar equation?
  
• How do you factor #y= x^2-x-20# ?
  
• Circle A has a center at #(3 ,2 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• What is the equation of the tangent line of #f(x)=14x^3-4x^2e^(3x) # at #x=-2#?
  
• Cups A and B are cone shaped and have heights of #32 cm# and #12 cm# and openings with radii of #18 cm# and #6 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
  
• An object with a mass of # 3 kg# is traveling in a circular path of a radius of #7 m#. If the object's angular velocity changes from # 3 Hz# to # 29 Hz# in #3 s#, what torque was applied to the object?
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =t+3# from #t in [2, 4]#?
  
• How do you insert parentheses to make #18+2*1+3^2 =38 # true?
  
• How would you simplify #sqrt48 + sqrt3#?
  
• Given #f(x)=8x-1#, and #g(x)=x/2# how do you find fog(x)?
  
• A triangle has sides A, B, and C. If the angle between sides A and B is #(pi)/6#, the angle between sides B and C is #(7pi)/12#, and the length of B is 11, what is the area of the triangle?
  
• How do you differentiate #f(x)=8e^(x^2)/(e^x+1)# using the chain rule?
  
• How do you find the intercepts for #y=x^2-9x+20#?
  
• How do you write an exponential equation that passes through (0, -2) and (2, -50)?
  
• How do you simplify #5sqrt(-75) - 9sqrt(-300)#?
  
• Is #f(x)=(x+3)^3-4x^2-2x # increasing or decreasing at #x=0 #?
  
• How do you differentiate #e^((ln2x)^2) # using the chain rule?
  
• How do you solve #x^(2/3) - 3x^(1/3) - 4 = 0#?
  
• How do you find the inverse of #1-ln(x-2)=f(x)#?
  
• How do you find general form of circle centered at (2,3) and tangent to x-axis?
  
• What is the derivative of #f(t) = (t^2-sint , 1/(t-1) ) #?
  
• Question #dbd28
  
• How do you differentiate #f(x) = (sinx)/(sinx-cosx)# using the quotient rule?
  
• How do you solve #3 log x = 6 - 2x#?
  
• What is the surface area of the solid created by revolving #f(x) = xe^-x-xe^(x) , x in [1,3]# around the x axis?
  
• Using the limit definition, how do you differentiate #f(x)=(3x)/(7x-3)#?
  
• The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?
  
• Question #07304
  
• How do I find the limits of trigonometric functions?
  
• Question #f9cc1
  
• How would you determine the equation of the circle which passes through the points D(-5,-5), E(-5,15), F(15,15)?
  
• Can a function be continuous and non-differentiable on a given domain??
  
• If #f(x)= cos5 x # and #g(x) = e^(3+4x ) #, how do you differentiate #f(g(x)) # using the chain rule?
  
• What is the slope-intercept form of #15x+12y=9#?
  
• How do you solve #log_4x=2.5#?
  
• What is the formula for time from a changing velocity?
  
• How do you solve #5^(4x) = 2115#?
  
• How do you find the derivative of #1/(x-5)#?
  
• Is #f(x)=xe^x-3x # increasing or decreasing at #x=-3 #?
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =t/6# from #t in [0, 1]#?
  
• What happens to a saturated solution of sugar in water when the temperature of the solution is suddenly lowered by 10°C?
  
• What are the first and second derivatives of #f(x)=ln(-2e^(-6x^3)+x^2) #?
  
• What is the average speed of an object that is not moving at #t=0# and accelerates at a rate of #a(t) =6t-9# on #t in [3, 5]#?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/6# and the angle between sides B and C is #pi/12#. If side B has a length of 1, what is the area of the triangle?
  
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