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 Question 4Why is the function always increasing when x is positive ? Car sa derivée est toujours positive Car elle est toujours positiveQuestion 5How much is the sum of all the whole even numbers from 1 to 1000 (use the sequences) ? 250000 250250 250500Question 6You play heads or tails with a coin. If the coin falls on tails you earn 2 euros, if it falls on heads you earn 3 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 ? -11 11 2Question 9The image M' of a point M by the homothety which center is O and ratio -1 : is symmetrical to M across 0 is on the segment [OM] Check Question 10The cartesian coordinates of a point M are x = -3 et y = -3 . What are its polar coordinates?