O UGEtion 6 Q Mark this question Consider the graph below, which shows the path ofa parabolic water arc. Here, the Kcoordinate is the distance the flowr of the water is from the 1water source, measured in feet, and the garcoordinate is the height of the 1water arc, also measured in feet. Height of the water Distance in feet from the water source From the graph, determine the height of the water source. O?ft From the graph, determine the height of the water source. O 7ft O 14 ft O Of O 3ftQuestion 7 O Mark this question x Vx-+ 13 Using logarithmic differentiation, find the derivative of y = x3 + 27 dy 2x 3x-2 O + + dx X 5(x2 + 13) x3+ 27 dy 3x2 O = x94x2+ 13 2x + + dx x3+ 27 5(x-+ 13) x3+ 27 O dy x-Vx2+ 13 2x 3x2 + dx x 3 + 27 X 5(x2 +13) x3 +27 dy 9 2x 3x2 O + dx X 5(x - +13) x3 + 27Question 8 O Mark this question Find the derivative of f(x) = - -4cosx - VX. X' Of ( x ) = 1 4sinx - F ( x ) = + 4sinx - 3x-5 O f(x)= _ 12 -4sinx - X O f(x)= _ 12 +4sinx - XQuestion 9 O Mark this question Evaluate the following limit: lim x - sin(8x). x - 0+ O lim x 'sin(8x) = - 8 O lim x sin(8x) =0 want O lim x sin(8x) =8 O lim x sin(8x) = 1Question 10 O Mark this question Use the table of integration formulas to identify and use an appropriate formula to find the following indefinite integral: [ cos ? (5x ) dx O sin(10x) N X +c 20 sin(5x) O + + c 20 O sin(10x) + + c 20 X sin(x) O + + c 2