Answers created by Harish Chandra Rajpoot

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• How do you graph the parabola #y=(x+4)^2+2# using vertex, intercepts and additional points?
  
• What are the 5 states of matter?
  
• How do I solve the rational inequality #(x+10)/(3x-2)<=3# using a TI-84?
  
• A boat traveled 390 miles downstream and back. the trip downstream took 13 hours. the trip back took 39 hours. what is the speed of the boat in still water? what is the speed of the current?
  
• Period of f(x)=2x-1?
  
• How do you solve #4^(2p)=4^(-2p-1)#?
  
• How do you differentiate # f(x)=(4+e^(sqrt(7x)))^3# using the chain rule.?
  
• How do you divide #(5/(1+i))#?
  
• What is #int ln(2x)^2dx#?
  
• How do you find two difference parametric equations for the rectangular equation y=8x-7?
  
• How can you proof #intsqrt(x^2-a^2)dx# = #x/2sqrt(x^2-a^2)-a^2/2log|x+sqrt(x^2-a^2)|+C# using #x=asectheta#?
  
• How do you find the vertex and intercepts for #y=x^2-2x #?
  
• How do you convert 25 degrees into radians?
  
• How do you add #(8+9i)# and #(-5+6i)# in trigonometric form?
  
• How do you solve #\frac { 6} { 9.4} = \frac { x } { 32}#?
  
• Two charges of # -2 C # and # 5 C# are positioned on a line at points # 4 # and # -1 #, respectively. What is the net force on a charge of # -9 C# at # 0 #?
  
• How do you find the vertex and the intercepts for #k(x) = -2(x² + 2x) + 1#?
  
• How to find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=7+x^7 about the x-axis ?
  
• Is this a linear equation #5x+6y=3x-2#?
  
• #x^2+y^2+2xy = 84 and x^2+y^2+sqrt(xy) = 14# Find, #x and y#?
  
• What is the product of eight and a number is greater than sixteen?
  
• How do you simplify #\frac { a ^ { 2} b ^ { - 5} } { 3a ^ { 5} } \cdot \frac { b } { a ^ { - 4} }#?
  
• 31 is what percent of 155?
  
• Beatrice’s rent has increased over the years; her initial rent was 526 in 1994, how much has her rent gone up if her current rent is $725?
  
• What is the distance from the origin to the point on the line #y=-2x+2# that is closest to the origin?
  
• How do you find the slope and intercept of #x-y=1#?
  
• How do you multiply # (a^3 + a^2b^2) (b^4 + a^2)#?
  
• How do you find #abs( 7-5i )#?
  
• How do you find the slope & equation of tangent line to #f(x)=-1/x# at (3,-1/3)?
  
• Find dy/dx , if y = e^x^2+2 + sin (5x^2+2) + 3 cos^2x?
  
• A pole 24 feet high has a shadow eight feet long. A nearby pole is 72 feet tall. How long is it's shadow?
  
• How do you rationalize the denominator and simplify #1/ (1+sqrt2)#?
  
• What is the equation of the tangent lines of #f(x) =-x^2+8x-4/x# at # f(x)=0#?
  
• What is the area cut off the parabola 4y = 3𝑥^2 by the line 2y = 3x + 12 ?
  
• During a drought, the water level of a lake changes #-3 1/5# feet per day. How do you write and solve an equation to find how long it takes for the water to change -16 feet?
  
• How do you simplify #(5-3i)^2#?
  
• How do you find the asymptotes for #(9x^2 – 36) /( x^2 - 9)#?
  
• An object with a mass of #2 kg# is on a plane with an incline of # - pi/3 #. If it takes #12 N# to start pushing the object down the plane and #5 N# to keep pushing it, what are the coefficients of static and kinetic friction?
  
• How do you simplify #7^sqrt2*7^(3sqrt2)#?
  
• Find the limit?
  
• What is the momentum of a 2000-kg elephant charing a hunter at a speed of 7.50 m/s?
  
• How do you find the polar coordinates given the rectangular coordinates (0,1)?
  
• How do you convert 60 miles/hour to ft/sec?
  
• How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 18, and 22 units in length?
  
• what are the works of power which affect the mass?
  
• If sin(t)=0.8 and cos(t)=0.6, what is #sin(t)+cos(-t)+sin(-t+2pi)#?
  
• How does Newton's third law apply to gravitational force?
  
• In triangle ABC, how do you solve the right triangle given Side AB=17 Side BC=22?
  
• Is pressure caused by the collision of gas molecules with their surroundings?
  
• What is the unit vector that is normal to the plane containing #(3i + 4j - k)# and #(2i+ j - 3k)#?
  
• How do you write 54,000 in standard notation?
  
• A ball with a mass of #4 kg# moving at #3 m/s# hits a still ball with a mass of #26 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
  
• $25,000 purchase decreases 12% in value per year. How do you determine the value of the purchase after 1yr, 3yrs, 5yrs, 7yrs?
  
• How do you multiply #3\sqrt { x + 2} - 5\cdot \frac { x - 2} { x - 2}#?
  
• How do you find the x and y intercept given #f(x) = 2/3x + 4#?
  
• What is the quotient of 12.09/12.8?
  
• How do you simplify #(3x) /(x^2 - 2x - 24) * (x - 6) / (6x^2)#?
  
• What is the product of #1/5, 5/6,# and #4/9#?
  
• What is #Cos(arcsin(5/13) - arccos(7/25))#?
  
• A particular map shows a scale of 1cm: 5km. What would the distance on a map be if the actual distance is 14km?
  
• How do you find the exact values of the six trig functions of angle 120?
  
• How do you simplify #(\root(3)(x+7) - \sqrt(x+3))/(x^2 - 3x +2)#?
  
• What is the correct option?
  
• How do you simplify #(2-3i)+(-2-5i)#?
  
• What is the equation of the line that is perpendicular to the line passing through #(3,18)# and #(6,14)# at midpoint of the two points?
  
• Point A is located at #(2, -6)#, and D is located at (-6, 8)#. What are the coordinates of the point that lies halfway between A and D?
  
• The value of C99 is =?
  
• How do you graph #5x + y = 4 # by plotting points?
  
• How do you simplify #4/root3(x)#?
  
• What is the equation of the line making an angle of 30° with positive 𝑥 − 𝑎𝑥𝑖𝑠 and at a distance of 2(3)^1/2 from the origin?
  
• How do you solve for x in # 1/log_3x + 1/log _27 x = 4#?
  
• If α,β are the roots of x²-x+1=0,then the quadratic equation whose roots are α²⁰¹⁵,β²⁰¹⁵ is ?
  
• The endpoints of AB are A (-4,8) and B (12,-4). How do you find the coordinates of P if P lies on AB and is 3/8 the distance from A to B?
  
• A ring torus has an ellipse of semi axes a and b as cross section. The radius to the axis of the torus from its center is c. Without integration for solid of revolution, how do you prove that the volume is #2pi^2abc#?
  
• A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #39 # and the height of the cylinder is #17 #. If the volume of the solid is #60 pi#, what is the area of the base of the cylinder?
  
• Prove that #1^99+2^99+3^99+4^99+5^99# is divisble by 5.?
  
• A sheet metal cover in the shape of a cone with radius 18.6 cm. What is the surface area of the cover? Round to two decimal places.
  
• How do you simplify #1/x + 1/x^2#?
  
• How do you find the derivative of #y=arcsin(2x+1)#?
  
• What number is 75% of 320?
  
• How do you find the derivative of # arcsin^3(5x)#?
  
• How do you multiply #(3t+12)/(2c+6) * (4c+20)/(2t+8)#?
  
• A recipe 1/2 of milk for each 1/5 of water.How many cups of water are needed for each cup of milk? How many cups of water as are needed for 3 cups of milk
  
• A certain concrete mixture contains 5.00% cement and 7.00% sand. How many kilograms of this mixture and how many kilograms of sand should be combined with 295 kg of cement to make a batch that is 12.0% cement and 14.0% sand? Carry out all calculations.
  
• A car is initially at rest. After 6.0 seconds its speed is 60.0 m/s. What is the car's acceleration?
  
• The Scales model of a skyscraper being built is 4.2 ft tall When Is The skyscraper will be 525 meters tall what scales was used to make the model?
  
• Ron and Kathy are ticket-sellers at their class play. Ron is handling student tickets that sell for $1 each and Kathy selling adult tickets for $5.50 each. If their total income for 16 tickets was $47.50, how many did Ron sell?
  
• For what values of x is #f(x)=2x^4+4x^3+2x^2-2# concave or convex?
  
• For what values of x, if any, does #f(x) = 1/((4x+9)cos(pi/2+(4pi)/x) # have vertical asymptotes?
  
• How do you differentiate the following parametric equation: # x(t)=(1-t)/e^t , y(t)=t/e^(3t) #?
  
• Is #f(x)=1-xe^(-3x)# concave or convex at #x=-2#?
  
• What is the equation of the line that passes through the points #(4, 7)# and #(-2, 6)#?
  
• How do you implicitly differentiate #11=(x+y)/(xe^y+ye^x)#?
  
• Is #f(x)=xcosx# concave or convex at #x=pi/2#?
  
• For what values of x is #f(x)=(-2x^2)/(x-1)# concave or convex?
  
• How do you find the length of the curve #x=3t+1, y=2-4t, 0<=t<=1#?
  
• Is #f(x) =(x-3)/(3x+1)# concave or convex at #x=-1#?
  
• What is the derivative of #y = cos(a^3 + x^3)#?
  
• How do you differentiate #f(t)= sqrt(( 1+ ln(t) ) / ( 1 - ln(t) ) #?
  
• Is #f(x)=e^-xcos(-x)-sinx/(pi-e^x)# increasing or decreasing at #x=pi/6#?
  
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