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• Question #60236
  
• How do you determine all values of c that satisfy the mean value theorem on the interval [0,1] for # sqrt (x(1-x))#?
  
• For #f(t)= (te^(t-1),t^2-t+1)# what is the distance between #f(0)# and #f(2)#?
  
• What is the slope of the polar curve #f(theta) = theta + cottheta+thetasin^2theta # at #theta = (3pi)/8#?
  
• How do you find #abs( -4 -3i )#?
  
• How do you solve #e^(5x) = 8#?
  
• Is #f(x) =cotx-cosx# concave or convex at #x=pi/3#?
  
• If #A = <2 ,3 ,-1 >#, #B = <6 ,1 ,2 ># and #C=A-B#, what is the angle between A and C?
  
• How do solve the following linear system?: # x/2 - y = -1 , 19x-2y=-16 #?
  
• What is the orthocenter of a triangle with corners at #(4 ,3 )#, #(9 ,5 )#, and (8 ,6 )#?
  
• A chord with a length of #35 # runs from #pi/8 # to #pi/2 # radians on a circle. What is the area of the circle?
  
• Question #cf70a
  
• What is the equation of the normal line of #f(x)=e^(1/x)-x# at #x=-1#?
  
• Circle A has a center at #(7 ,-5 )# and a radius of #1 #. Circle B has a center at #(4 ,2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• How do you find the equation of the line tangent to #f(x)= (sqrtx+1)#, at (0,1)?
  
• How do you differentiate #f(x)=sin2x * cotx# using the product rule?
  
• What is the speed of an object that travels from #( -2,1,2) # to #( -3, 0,-7 ) # over #3 s#?
  
• Question #915b6
  
• If #A= <2 , 6 ># and #B= <-1,6 >#, what is #||A+B|| -||A|| -||B||#?
  
• A triangle has corners at #(0, 5 )#, ( 1, -2)#, and #(7, -4 )#. If the triangle is reflected across the x-axis, what will its new centroid be?
  
• A ball with a mass of #18 kg# moving at #2 m/s# hits a still ball with a mass of #25 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?
  
• What is the angle between #<1,3,9 ># and #< 4,9,2 >#?
  
• What is the instantaneous velocity of an object with position at time t equal to # f(t)= (tsqrt(t+2),t^2-2t) # at # t=1 #?
  
• Question #f2635
  
• What is the value of the hypotenuse of an isosceles triangle with a perimeter equal to #16 + 16sqrt2#?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(pi)/4#. If side C has a length of #4 # and the angle between sides B and C is #( 3 pi)/8#, what are the lengths of sides A and B?