Grade 10 Final test of the 10th Grade Good luck!Question 1 The equation has : no solution 2 solutions, 2 solutions, Question 2How much is ? 0 Question 3What is the derivative of the function 2 Question 4Why is the function always decreasing ? Car sa derivée est toujours positive Car sa derivée est toujours négative 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 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 . What are its polar coordinates?