Grade 10 Final test of the 10th Grade Good luck!Question 1 The equation has : no solution 1 solution, x = 2 2 solutions, x = 0 et x = 4Question 2How much is ? 0 Question 3What is the derivative of the function 2 Question 4Why is the function always increasing ? Car elle est toujours positive Car sa dérivée est toujours positive Car dieu en a décidé ainsiQuestion 5How much is the sum of all the whole numbers from 1 to 1000 ? 500000 500500 555555Question 6You play heads or tails with a coin. If the coin falls on tails you earn 5 euros, if it falls on heads you earn 4 euros. X is the random variable that shows the winning after you've tossed the coin. How much is X expected value Question 7The barycenter of the system is situated : in the triangle ABC A outside of the triangle, near to the line (BC) A outside of the triangle, near to the line (AB)Question 8How much is the dot product of and of ? 13 23 43Question 9The image M' of a point M by the homotethy which center is O and ratio -2 : is on the half line [OM) is on the segment [OM] is on the line (OM).Question 10The cartesian coordinates of a point M are x = -3 et y = -3 . What are its polar coordinates?