Questions

Express using a positive exponent h 2 h 2 Simplify your answer Type a positive exponent

Divide and write the result using scientific notation 4 5 103 1 8 105 4 5 103 1 8 10 5 Simplify your answer Use scientific notation Use the multiplication symbol in the math palette as needed

A Developmental Psychologist would like to determine whether there is a relationship between verbal skills and math skills in secondary school students A sample of 200 students is obtained and each student is given a standardized English test and a standardized math test Based on the test results students are classified as high or low performers for verbal skills and for math skills The sample data observed frequency counts are summarized in the table below 2 By hand i determine the expected frequencies and calculate x and ii calculate the degrees of freedom Show all your work please Verbal Skills High Low High Math 59 41

Find the average value of the function f x x 5 from x 0 to x 3 Set up the integral that is used to find the average value Write all constant factors associated with the endpoints outside of the integra dx 0

Solve for x 23 63 50 7 50 1 60 7 X

Find the radius of convergence of the power series If needed enter INF for oo 20x

1 Determine the average value of f x over the interval from x a to x b where f x a and b 11 11 The average value is Type an exact answer

Determine the phase angle by which v1 t leads i2 t where v1 t 4 sin 377t 21 V i2 t 0 1 sin 377t 79 A Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degrees Do not include units in your answer Make sure your final answer is between 180deg and 180deg ex 5 is entered as 5

Find the volume of the solid formed by rotating the region enclosed by about the y axis Volume I y e 5 y 0 x 0 x 0 8

5 54 4 3 2 What is the domain of the function on the graph O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to 2 all real numbers greater than or equal to 3 5 4 3 1 2 3 4 5 x 23 3 4 5

d the value of each variable nesn srl 300 11 X

Given the following voltage and current i t 5 sin 377t 48 A u t 10 cos 377t 52 V Determine the phase relationship between i t and u t Notes on entering solution Enter your solution with respect to V leads i by Enter your solution in degree Do not include units in your answer ex 5 is entered as 5

The length of Terry s fish is millimeters X e Terry caught a two year old flounder whose length had a z score of 0 6 How long was this fish Round the answer to at least one decima place G

Calculate the current across the capacitor shown in Fig P8 6 if the voltage input is v2 t 22 sin 159t 245 V i t v t C 1 F Figure P8 6 For a current i t C cos wt P enter the value of the phase angle P be sure that your answer is between 180deg to 180deg Notes on entering solution Enter your solution in degree Have your current in cosine format Do not include units in your answer ex 5 is entered as 5

Find the volume of the solid whose base is the region bounded by y x y 1 and the y axis and whose cross sections perpendicular to the y axis are equilateral triangles 3 3 Volume

First among asexually reproducing species what main mechanism produces genetic changes from one generation to the next and how does this mechanism do so Next describe in detail three main mechanisms that produce genetic diversity among sexually reproducing species placing emphasis on how two mechanisms in meiosis do so Lastly most eukaryotic organisms reproduce sexually What is a survival benefit s of this mode of reproduction

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges O 34 567 80 5 023 68 545 76 54 576 None of the

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576 None of these

Consider the power series to x The interval of convergence goes from x The radius of convergence is R If needed enter INF for co and INF for IM8 n 1 x 4 n 10

Suppose that 4x 8 x Cnx n 0 Find the first few coefficients Co C C2 C3 C4 Find the radius of convergence R of the power series R

Find the first five non zero terms of power series representation centered at x 0 for the function below Answer f x 0 0 0 0 0 What is the interval of convergence f x x2 1 2x

Find the radius of convergence of the power series If needed enter INF for oo and INF for 0 iM8 1 x 16 4n6

In physics lab Ellie attaches a wireless sensor to one of the spokes of a bicycle w spinning freely on its axle The graph below shows the sensor s height above the ground in centimeters over time t measured in seconds 50 2 75 48 11 75 48 4 P Sensor s height in cm 20 20 20 7 25 38 16 25 38 01 10 11 12 13 14 15 16 1S Time in seconds

10 5 y 10 5 5 5 10 X

Consider the function arctan 2 15 Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms For example if the series were 32 you would write 1 3x 32x4 336 348 Also indicate the radius of convergence 80 n 0 Partial Sum Radius of Convergence

Find the value of each variable Express in simplest radical form 8 X 6 5

The function f x 5 1 8 2 is represented as a power series f x cnx n 0 Find the first few coefficients in the power series Co C C C3 C4 Find the radius of convergence R of the series

Consider the series The interval of convergence goes from x The Radius of convergence is R If needed enter INF for co and INF for to x IM8 n 1 5 x n 1 n 3

Find the radius of convergence of the power series If needed enter INF for co and INF for o Radius of convergence is

Tiffany purchased a 10 000 13 week Treasury bill that is paying 2 25 What is the effective rate on this T bill 2 2 2 7 2 26 2 0 None of these

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576

On March 12 Bill Jones accepted a 12 000 note in granting a time extension of a bill for goods purchased by Ron Prentice Terms of the note were 13 for 90 days On April 24 Bill could no longer wait for the money and discounted the note at Able Bank at a discount rate of 14 The proceeds to Bill is O 12 047 90 12 163 54 12 390 00 12 048 90

For f x x 5 and g x 2x 3 find the following functions a fog x b go f x c fog 1 d go f 1 a fog x Simplify your answer

Find the value of each variable Express in simplest radical for 5 14 X ly

The graph below shows a transformation of y 2 7 6 5 4 3 2 1 5 4 3 2 1 t 2 3 4 5 6 Write an equation of the form y a 2 c for the graph above f x

Find the value of each variable Express in simplest radical form 1 30 60 30 X y

Stu Reese has a 150 000 7 5 mortgage His monthly payment is 1 010 10 His first payment will reduce the principal to an outstanding balance of 149 729 40 149 927 40 72 60 149 910 40

Given a mortgage of 48 000 for 15 years with a rate of 7 what are the total finance charges 29 659 20 5 023 68 545 76 54 576

The infinitely long region bounded by the graphs of y 0 x 0 and y e axis 6x is rotated around the x The volume of the resulting solid is

5 5 5 5 Enable Zoom Pan 10 X

Find the volume of the solid whose base is the region bounded by y x6 y 1 and the y axis and whose cross sections perpendicular to the y axis are equilateral triangles 3 3 Volume 4

SO 2004 12 21 to to slay s

The graph shows a unit circle with point Pat O X P 13 13 Enter the exact values or DNE if the value is undefined Secant of XOP Cosecant of XOP Cotangent of ZXOP

Marsha Terban bought a home for 119 000 with a down payment of 19 000 Her rate of interest is 5 1 2 for 30 years The balance of the mortgage at the end of the first month is 3 33 98 944 99 669 76 99 890 54 None of these

Beverly Frost bought a home for 190 000 with a down payment of 19 000 at 7 for 25 years Since then the rate has risen to 8 How much more would her monthly payment be if she bought the house at 8 208 97 436 40 143 00 111 22 None of these

Dan Miller bought a new Toyota truck for 28 000 Dan made a down payment of 6 000 and paid 390 monthly for 70 months The total finance charge was 13 300 5 300 11 300 27 300 None of these

Find the volume of the solid obtained by rotating the region bounded by y 6x 54 y 0 x 0 about the y axis

follow a periodic pattern of rise and fall called the tides The graph below shows the sea level at a certain beach in feet over two days where time t is measured in hours after 12 00 a m midnight on the first day Sea level in feet 8 5 24 20 5 24 25 0 Time in hours 14 5 0 Write an equation in terms of y the sea level in feet and t time in hours to represent the given context

In calculating the bank discount when discounting an interest bearing note which one of the following is not used in the calculation O Principal proceeds Maturity value Bank discount rate Discount period None of these

1 point Find the solution of the exponential equation 4 2x 1 25