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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?