Vector Calculus Questions and Answers

find the power series representation for the function and determine the interval of convergence 19 f x II 1 x

A man deposits 14 000 at the beginning of each year for 10 years in an account paying 5 compounded annually He then puts the total amount on deposit in another account paying 6 compounded semiannually for another 9 years Find the final amount on deposit after the entire 19 year period He will have a final amount of after the entire 19 year period Simplify your answer Do not round until the final answer Then round to the nearest cent as needed

Ingrid wants to buy a 19 000 car in 6 years How much money must she deposit at the end of each quarter in an account paying 5 3 compounded quarterly so that she will have enough to pay for her car How much money must she deposit at the end of each quarter Do not round until the final answer Then round to the nearest cent as needed

K Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function f x 4x4 5x X 9 Choose the correct answer below OA The graph of f x rises to the left and falls to the right OB The graph of f x falls to the left and rises to the right OC The graph of f x falls to the left and falls to the right OD The graph of f x rises to the left and rises to the right

point on the terminal side of an angle 8 in standard position is 4 5 Find the exact value of each of the six trigonometric functions of 8

A chemistry student performs a series of measurements and calculations in the lab to determine the density of an unknown liquid The calculator display reads 0 580631 but the final density can only be reported to three significant figures Which answer is correct 0 580 g mL 581 g mL 0 581 g mL 0 58 g mL

What is the answer for 4 5x104 g 3 4x103 g reported to proper significant figures 4 84x104 g 7 9x104 g 4 8x104 g 7 9x10 g

Given y 3x 2 3 is the Onone of the listed answers 3 is the slope Oslope x intercept y intercept

Abag contains 4 red apples and 6 yellow apples 4 apples are selected at random Find the probability of selecting 1 red apple and 3 yellow apples The probability is Type an integer or a simplified fraction C

For the following write out each term of the summation in the boxes provided Then compute the sum 11 4i 1 4i 1 i 1 help numbers

The partial fraction decomposition of f x x 1 f x g x x 1 where 16 x 1 x 1 g x Question Help Video Message instructor can be written in the form of

sin 8 cos 0 2 1 2 sin 0 cos 8 A sec 0 OA OC B D B 0 C 1 D 1 sin 8

Write the expression cos 0 csc sec 1 as a single term csc 0 cos 0 A tan B OD OA OB OC cot e C D

This conic has its focus at the pole and the given eccentricity and directric e 4 x 6 Is this conic an ellipse parabola or hyperbola Select one O a ellipse O b parabola c hyperbola Clear my choice Find the polar equation and choose the correct graph below All graphs are 30 30 by 30 301 Select one O a O b O C d

Find the distance between the pair of points 3 22 and 13 16 The distance is 11 662 Round to the nearest thousandth as needed

A circuit includes a battery and a resistor The voltage of the battery is 15 5V and the resistance of the battery is 3 500 What is the current in the circuit 0 226 Q 0 0184 0 0 226 V 0 0184 A 0 226 A 54 3 V 54 3 A 4 43 V 4 43 A 4 4302 54 3 Q 0 0184 V

On what domain is the function f x m2 52 5 CHROMANE continuous

While traveling in Scotland Dulcie noticed the high temperature one day was that day in Scotland in the Fahrenheit system Dulcie called her husband in Boston that day and found the high temperature in Boston that day was 87 F How much hotter was Boston than Scotland that day What was the high temperature that day in Scotland in the Fahrenheit system 86 F unh hotter was Boston than Scotland that day

State two other ways to name Zw Two other ways to name Zw are Use a comma to separate answers as needed y W T

4 Faces S and T of this rectangular prism are shaded In square centimeters 7 5 cm S how much greater is the area of face S than face T F 18 0 G 17 5 H 18 5 T 4 5 cm 6 cm J 17 25

The deepest part of an ocean is 36 The deepest part of an ocean is miles Round to the nearest hundredth as needed

8 ounces as needed pounds Simplify your answer Type a whole number or decimal rounded to the nearest hundredt

Divide in the indicated base 35 1205 The quotient is R5 15

Subtract the given numbers in the indicated base 2262 4447 The difference is 7

12 Given f x x 4 A What is the average rate of change from 1 to 2

Complete the square of the given quadratic expression Then graph the function using the technique of shifting f x x 8x 13 CLB Complete the square by entering the correct numbers into the expression below f x x 0 10 B 6 A 10 Ay 18 6 42

Convert the base ten numeral to a numeral in base fou 107 107 rour

Fill in the blank with the appropriate word In the numeral 3627 the 3 represents 3 In the numeral 3627 the 3 represents 3 x 1

Convert 23 to a numeral in base 2 23

Write the Mayan numeral as a Hindu Arabic numeral 01 10 11 2 12 3 4 14 5 1 15 6 L 16 7 17 8 18 19

21 22 Given m x 1 9 9 0 0 1 find each m 9 m x

Divide in the indicated base 5 403 59 4039

Divide in the indicated base 375157 The quotient is R

Multiply in the indicated base 3247 x 257

Multiply in the indicated base 2123 X 23 2123

Perform the subtraction 55F16 39316 55F16 39316 16 Simplify your answer

Multiply in the indicated base 4B212 A812 X 4B212

Let P x y be a point on the graph of y x a Express the distance d from P to the point 1 0 as a function of x d

Add in the indicated base A57412 147B12 A57412 147B12

Perform the subtraction F3516 C5D16 F3516 C5D16 16 Simplify your answer

in the indicated base 4367 4627 367 527

Subtract the 22417 6227 The difference is 7

Subtract in the indicated base 10012 1102 10012 1102

Subtract 1001 three 221 three The difference is three Simplify your answer

Write the Mayan numeral as a Hindu Arabic numeral 10 3 2 11 12 13 4 14 5 6 T 15 16 7 L 8 18 The equivalent Hindu Arabic numeral is 2216 9 19

nswer the questions about the following function x 12 x 3 f x Is the point 5 6 on the graph of f If x 2 what is f x What point is on the graph of f If f x 2 what is x What point s is are on the graph of f What is the domain of f List the x intercepts if any of the graph of f List the y intercept if there is one of the graph of f a Choose the correct answer below OA No because substituting x 6 into the given equation does not result in 5 OB Yes because substituting x 6 into the given equation results in 5 OC No because substituting x 5 into the given equation does not result in 6 OD Yes because substituting x 5 into the given equation results in 6 b If x 2 f x Simplify your answer Using the information in the previous step list the point s on the graph of f where x 2 Simplify your answer Type an ordered pair c If f x 2 x Simplify your answer Use a comma to separate answers as needed Using the information in the previous step list the point s on the graph of f where f x 2 Simplify your answer Type an ordered pair Use a comma to separate answers as needed d What is the domain off The domain is Type your answer in interval notation e List the x intercept s if any of the graph of f Select the correct choice below and if necessary fill in the answer box to complete your choice OA The x intercept s is are

The table shows the decimal numbers from 24 to 35 and their corresponding representations in Hexadecimal Base 16 Octal Base 8 and Binary Base 2 Complete the table Decimal 24 25 26 27 28 29 30 31 32 33 34 35 Hexadecimal 1A 1B 1C 1D 1E 22 23 Octal 32 33 34 35 36 42 43 Binary 011000 011001 011101 011110 100001 100010 100011

If a rock falls from a height of 40 meters on Earth the height H in meters after x seconds is approximately H x 40 4 9x a What is the height of the rock when x 1 7 seconds The height of the rock when x 1 7 seconds is 25 839 meters Round to three decimal places as needed b When is the height of the rock 7 meters The height of the rock is 7 meters when x Round to two decimal places as needed seconds

Find the domain of the function f x X 9x 5

Find the following for the function f x 4x 3x 4 a f 0 b f 4 c f 4 e f x f f x 3 g f 4x a f 0 Simplify your answer d f x h f x h