8021

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


8020

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


8019

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))


8017

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.


8016

Mathematics Logarithm Level: Misc Level

Sketch the graph of y=log5 x.


8015

Mathematics Logarithm Level: Misc Level

Solve for x;In x+In (x+5)=In6


8014

Mathematics Logarithm Level: Misc Level

Solve for x; (2/3) log 5 27- log5 x= log 53

                


8013

Mathematics Logarithm Level: Misc Level

Simplify; (a) log2 8 + 2log2 

(b) In e +log 10

(c) log 105 + log 101/5


8012

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.


8011

Mathematics Trigonometry Level: Misc Level

Solve cos ø + 2cos2 ø = 0 given that 0o < 0 <360o


8010

Mathematics Conics Level: Misc Level

Graph the ellipse ; x2/16 + y2/9 =1

                       


8009

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?


8008

Mathematics Probability Level: Misc Level

How many distinguishable ways can 6  identical white marbles and 3 identical black marbles be arranged in a line?


8007

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?


8006

Mathematics Complex Numbers Level: Misc Level

Multiply (7 cis 68o) (-2 cis 82o) and express the answer in rectangular coordinates. Give an exact answer.


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