Answers edited by P dilip_k

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• What is the unit vector that is normal to the plane containing #(- 3 i + j -k)# and #(3i + 4j - k)#?
  
• Points #(3 ,2 )# and #(7 ,4 )# are #( pi)/3 # radians apart on a circle. What is the shortest arc length between the points?
  
• Points #(6 ,7 )# and #(5 ,5 )# are #(2 pi)/3 # radians apart on a circle. What is the shortest arc length between the points?
  
• How do you express #f(theta)=sin^2(theta)+3cot^2(theta)-3csc^2theta# in terms of non-exponential trigonometric functions?
  
• A model train, with a mass of #4# #kg#, is moving on a circular track with a radius of #3# #m#. If the train's kinetic energy changes from #12# #J# to #48# #J#, by how much will the centripetal force applied by the tracks change by?
  
• What is the acceleration of a car that travels in a straight line at a constant speed?
  
• How do you find the area of a parallelogram with vertices?
  
• Question #eaed5
  
• How do you evaluate #cos^-1(cos((7pi)/6))#?
  
• Integrate #lnx/10^x#?
  
• How do you draw methyl ethyl amine?
  
• A model train with a mass of #3 kg# is moving along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #4 cm# to #18 cm#, by how much must the centripetal force applied by the tracks change?
  
• Is the square root of 4 rational or irrational?
  
• How do you solve #x^2 - 2x + 1 = 0# using the quadratic formula?
  
• What mass of water, #H_2O#, can be produced from 150 grams of ammonia, #NH_3#?
  
• A circle's center is at #(9 ,6 )# and it passes through #(6 ,2 )#. What is the length of an arc covering #(5 pi ) /6 # radians on the circle?
  
• How do you simplify #sqrt(96/8)#?
  
• How do you solve #x/7-14=-12#?
  
• What is the Cartesian form of #(2,(pi)/4)#?
  
• A chord with a length of #12 # runs from #pi/12 # to #pi/6 # radians on a circle. What is the area of the circle?
  
• How do solve the following linear system?: # 2x +5y - 21 = 0 , 3x – 2y = 7 #?
  
• If a projectile is shot at an angle of #pi/4# and at a velocity of #15 m/s#, when will it reach its maximum height??
  
• An object, previously at rest, slides #5 m# down a ramp, with an incline of #(3pi)/8 #, and then slides horizontally on the floor for another #12 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• A spring with a constant of #3 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #4 kg# and speed of #2 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• What is the molar mass of sodium phosphate?
  
• On average, how many #pi# bonds does #"O"_2^(+)# have?
  
• Point A is at #(-2 ,-8 )# and point B is at #(-5 ,3 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
  
• How do you solve # (x – 5)^2 = 3#?
  
• How do you find all sets of three consecutive even integers whose sum is between 25 and 45?
  
• How do you find the equation of the line tangent to #f(x)= (sqrtx+1)#, at (0,1)?
  
• Question #3b5f1
  
• Limiting reagent problem? For the reaction #C_2H_6+O_2 to CO_2+H_2O#
  
• How do you solve #4x² - 4x – 1 = 0#?
  
• How do you divide #( -3x^3+ 9x^2-12x+4 )/(x + 1 )#?
  
• How do you factor the expression #3z^2 - 13z - 30#?
  
• Cups A and B are cone shaped and have heights of #24 cm# and #23 cm# and openings with radii of #11 cm# and #9 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?
  
• What is #sqrt(7 + sqrt(7 - sqrt (7 + sqrt (7 - sqrt(7 + ...... ∞#?
  
• What does #arcsin(cos ((5pi)/6)) # equal?
  
• Question #ab45a
  
• How do you find the rectangular coordinate for [3, pi/2]?
  
• How do you long divide #(4x^2 – 2x – 6) ÷ (x + 1)#?
  
• If a projectile is shot at an angle of #(2pi)/3# and at a velocity of #64 m/s#, when will it reach its maximum height?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/12#. If side B has a length of 4, what is the area of the triangle?
  
• Given #cos(2pi/5) = (sqrt(5)-1)/4#, what is cos(3pi/5)?
  
• How do you find #Sec^-1(sec((7pi)/6))#?
  
• A compound is 54.53% C, 9.15% H, and 36.32% O by mass. What is its empirical formula?
  
• A superhero launches himself from the top of a building with a velocity of 7.3m/s at an angle of 25 above the horizontal. If the building is 17 m high, how far will he travel horizontally before reaching the ground? What is his final velocity?
  
• Question #a32cf
  
• Question #a3f18
  
• How do you long divide #(x^2+4x-39)/(x+8)#?
  
• What is the expected outcome from the electrophilic substitution of chlorobenzene with HNO3/H2SO4 and heat?
  
• What is the cross product of #[9,4,-1]# and #[4,3,6] #?
  
• Integrate #lnx/10^x#?
  
• What is #sqrt(7 + sqrt(7 - sqrt (7 + sqrt (7 - sqrt(7 + ...... ∞#?
  
• How do you evaluate #e^( ( pi)/12 i) - e^( ( 13 pi)/8 i)# using trigonometric functions?
  
• What is the slope of the line passing through the following points: # (-2,-1) , (-1,4)#?
  
• What is alcohol that can be derived from an alkane containing two carbon atoms using the IUPAC system?
  
• Points #(2 ,9 )# and #(1 ,3 )# are #(3 pi)/4 # radians apart on a circle. What is the shortest arc length between the points?
  
• How do you find an equation of the circle of radius 4 that is tangent to the x-axis and has its center on x-2y=2?
  
• What is the slope of any line perpendicular to the line passing through #(-12,21)# and #(-18,1)#?
  
• How do you convert #theta= pi/4# to rectangular form?
  
• How do you name aldehydes using IUPAC?
  
• What is the the vertex of #y =3x^2+4x-18 #?
  
• How do you find the exact value of #arcsin [sin (-pi/10)]#?
  
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