Mathematics Calculus Level: Misc Level
Let f (x)=/x for 1<x <7.Use a Riemann sum withn=6 subintervals and sample points the midpoints of the intervals to estimate the area A between the graph of f and the x-axis. The answer that best describes the estimate is
a. A=13.478
b.A=15.306
c.A=11.680
d.A =11.693
E.None of the other choices is the required Riemann sum
Mathematics Calculus Level: Misc Level
Estimate the area A between the graph f (x)=/36-x2 for 0<4 and the x-axis using four approximating rectangles and left endpoints.The answer that best describes the estimate is
a.A=22.08 which is an under estimate of A.
b. A=22.77 which is an over estimate of A.
c.A=22.08 Which is an over estimate of A.
d.A=22.77 which is an under estimate of A.
e.None of the other choices is correct
Mathematics Calculus Level: Misc Level
Let f (x)=x2 and divide the interval [0,1] into four subintervals determined by the subdivision points 0,1/4,1/2,3/4,1. The Riemann sun of f with sample points the right endpoints of the subintervals is
a.15/16
b.15/32
c.1/3
d.2/3
e.None of the other choices is correct
Mathematics Functions Level: Misc Level
Given f(x)=x^2-1 and g(x)=x^0.5, find the following;
a) f(g(x))
b) f (g(2))
c) g (f(x))
d) g(f(2))
Mathematics Functions Level: Misc Level
Graph the function f(x)=x^2-3x-10 on the given grid. Find the x-intercepts and y-intercept.
Mathematics Logarithm Level: Misc Level
Sketch the graph of y=log5 x.
Mathematics Logarithm Level: Misc Level
Solve for x;In x+In (x+5)=In6
Mathematics Logarithm Level: Misc Level
Solve for x; (2/3) log 5 27- log5 x= log 53
Mathematics Logarithm Level: Misc Level
Simplify; (a) log2 8 + 2log2 6
(b) In e +log 10
(c) log 105 + log 101/5
Statistics Averages Level: Misc Level
Find the range,mean,median,mode,variance,and standard deviation for the following data; 5,6,4,6,7,2.
Mathematics Trigonometry Level: Misc Level
Solve cos ø + 2cos2 ø = 0 given that 0o < 0 <360o
Mathematics Conics Level: Misc Level
Graph the ellipse ; x2/16 + y2/9 =1
Mathematics Algebra Level: Misc Level
Jacob can do 4 jobs in 5 hours;when kristine helps, together they manage to do 56 jobs in 20 hours.How long would it take Kristine to do one job?
Mathematics Probability Level: Misc Level
How many distinguishable ways can 6 identical white marbles and 3 identical black marbles be arranged in a line?
Mathematics Geometry Level: Misc Level
Three times the supplement of an angle exceeds 7 times the complement of the same angle by 130o. What is the angle?
