Complex numbers Questions and Answers

A plane flies 1 2 hours at 130 mph on a bearing of 10 It then turns and flies 6 8 hours at the same speed on a bearing of 100 How far is the plane from its starting point The plane is Round to the nearest whole number miles from its starting point COLL 10 100

Evaluate the integral partial fraction decomp 31 x 4 2 2x dx 5

Question 18 Calculate the area of a circle

A ball is thrown vertically upward After f seconds its height in feet is given by the function h t 1044 167 What is the maximum height that the ball will reach Do not round your answer Height feet

Let an be a sequence Which statements are equivalent to an no is bounded above n 0 Select all the correct answers MEZ VEN an M D 3M 0 VnEN an MEN no EN Vn E N n no an M TE BT M

A rectangle has a height of 12 feet and a perimeter of 64 feet Calculate the area of the rectangle Round your final answer to tenths if rounding is necessary Enter the value for the area in the first blank and enter the units in the second Enter units as ft or square ft The area of the figure is about

Find the equation of the line with the given slope and containing the given point 2 5 Slope through 9 0 The equation of the line is Simplify your power Tu

Write an equation of the line Slope 0 through 1 3

1 point Match the equations below with the pictures of the of the level surfaces they represent C B A 1 32 2 1 2 2y 32 x 1 3 2 32 1 4 2x 3y 2 1 You can drag the images to rotate them A 1 00 0 00 1 00 70 00 0 B

10 1 20 Ay 15 10 PRM 5 10 20 OK 1 10

Find the absolute maximum of f on 11 6 Select the correct choice below and if necessary fill 2 choice A The absolute maximum of f is f Type integers or fractions B There is no absolute maximum 424 40 84 6 P

Correct For the functions f x and g x x 1 3 x 5 find the composition fog and simplify your answer as much as possible Write the domain using interval notation Domain off g 0 0 U 0 5 u 5 00 8 2 0 6 0101 0 0 0 0 OVO 0 0 0 0 X 8 8 5

estion 5 the standard form of the quadratic function shown below 5 4 3 2 432 34 2 4 0 423 2 3 4 5 f x x 1 f x x 1 f x 3 x 1 f x x 1 2 3 1 2 3 4 5 1 0 X 1 pts

Question 3 Graph the given function f x 1 x 1 3 5 4 3 2 54 4 3 2 1 0 1 c W N 4 2 3 4 5 X H 1 2 3 4 5

Question 4 From the graph of the quadratic function f x of the axis of symmetry

brk Chase plans to sell a p est and a long term note

Evaluate the following integral using the Fundamental Theorem of Calculus Discuss whether your result is consistent with the figure 1 x 3x 7 dx 0 x 3x 7 dx Is your result consistent with the figure O A No because the definite integral is positive and the graph of f lies below the x axis OB Yes because the definite integral is negative and the graph of f lies below the x axis OC No because the definite integral is negative and the graph of f lies above the x axis OD Yes because the definite integral is positive and the graph off lies above the x axis AY 104 8 4 2 0 5

Solve the system of equations at right and then check your solution in each equation Be sure to keep your work well organized x 2y z 1 2x y 3z 13 x y 2z 14 Find an equation for the parabola that passes through the points 1 10 0 5 and 2 7

Find the equation of the quadratic function fwhose graph is shown below 5 4 4 7 f x 0

Four functions are given below Either the function is defined explicitly or the entire graph of the function is shown For each decide whether it is an even function an odd function or neither The function r 0 00 Even O Odd Neither Even O Odd ONeither The functions h x 3x 6x X O Even O Odd O Neither O Even O Odd ONeither 5

On their Team Assessment Raymond Sarah Hannah and Aidan were given y 4 24x 7 to change into graphing form Raymond noticed that the leading coefficient was a 4 and not a 1 His team agreed on a way to start rewriting but then they worked in pairs and got two different solutions shown below Raymond and Hannah 1 2 3 4 y 4 x 3 29 y 4x 24x 7oito 1 millAidan and Sarah y 4x 24x 7 y 4 x 6 x 7 y 4 x 6x 3 7 36 2 y 4 x 6x 9 7 9 3 y 4 x 3 7 3 4 y 4 x 3 2 O Hannah says Aidan and Sarah made a mistake in Step 3 Because of the factored 4 they really added 4 9 to complete the square so they should subtract 36 not just 9 Is Hannah correct Justify your answer by showing whether the results are equivalent to the original equation

1 point Decompose the function below into u v x In each part based on the function v x given find the corresponding u needed to decompose the function a u x x u x b u x x 1 u x y 1 x4 8 x4

Fill in the blank to make equivalent rational expression 7y y 9 x y 9 y 2

Tyler and his cousin Kelly have attached a rope to the branch of a tree and tied a board to the other end to form a swing Tyler sits on the board while his cousin pushes him through an angle of 25 5 and holds him there If Tyler weighs 98 1 pounds find the magnitude of the force Kelly must push with horizontally to keep Tyler in static equilibrium See the figure below Round your answer to one decimal place H 25 5

Use the graph of the function y g x below to answer the questions w 23 H a Is g 1 positive Yes No b For which value s of x is g x 0 If there is more than one value separate them with commas 0 c For which value s of x is g x 0 Write your answer using interval notation 7 0 0 0 0 X

Solve the system of equations using the elimination method x y 3 x y 7 21 2 Write answer as an Ordered Pair One solution No solution Infinite number of solutions

Finding zeros of a polynomia all real zeros of the function f x 4 x 5 2 x 2 1 x 5

Suppose that the function g is defined for all real numbers as follows 0 ifx 1 g x 1 if x 1 2 if x 1 Graph the function g

The area 4 r in square meters of a circular algae colony with radius 7 meters is given by A r 11 The radius M t in meters after t minutes is given by M t 3 Write a formula for the area Z t in square meters of the algae colony after t minutes It is not necessary to simplify z t X B t JU

a Your answer is incorrect The graph of y f x is shown Draw the graph of y f x X S

The graph of a quadratic function with vertex 2 3 is shown in the figure below Find the domain and the range Write the domain and range using interval notation a domain 0 b range 1 0 0 0 0 0 10

Find the reference angle for the given angle 27 a b 5TT 7 0 8T X X

For each graph select all symmetries that apply Graph 1 Symmetry Ox axis y axis Corigin symmetry with respect to the x axis none of these Graph 2 Symmetry x axis axis origin none of these Symmetry X axis y axis Graph 3 origin none of these

mework Solve d nzx for x

An observer for a radar station is located at the origin of a coordinate system Find the bearing of an airplane located at the point 10 10 Express the bearing using both methods CETE One expression for the bearing uses a single angle measure The bearing using this method is Type an integer or a decimal

Question 10 1 6 45 A water tank in the shape of an inverted cone has radius 4 0 feet as illustrated in the accompanying volume of the water in the tank when the water is

Do Homework k aspx homeworkld 641488384 Question 7 1 6 33 Part 3 of 4 Students stuff envelopes for extra money Their initial cost to 02 and they get paid 0 06 per envelope stuffed L inst C as a function of x Das a function of nf x for which revenu

7 f x x 2 and g x 2 x 2HOL E xvS x g 6 50 0 A 8 f x x 4 and g x x 4 TAGGIUS

Question 3 1 6 9 e width is centimeters of a rectangular mailing label is 3 centimeters less than twice the wi sions of the label length is centimeters points O Points 0 of

from lighthouse ship P is 7 3 km away on a bearing 070 degree a second ship Q is on a bearing 150 degree from P and 130 degree from the lighthouse how far is Q from the lighthouse

Mr Levy borrowed money from two lenders One lender charged 6 5 simple interest and the other charged 4 5 simple interest Mr Levy had to borrow 200 more at 6 5 than he did at 4 5 If the total interest after the first year was 266 how much did be borrow at each rate He borrowed at 6 5 and S at 4 5

Convert the following radian measure to degrees 2 64842 2 64842 radians 0 Round to the nearest minute as needec

Question 2 Choose the correct translation of the followi five cookies less than the number of cookie Let c the number of cookies left Oc 5 Oc 5

10 8 2 figure above shows the plot of the points 1 4 2 1 3 7 5 3 an 5 Find a polynomial of degree 4 of the form ax b cx d e whose graph passes through these point You may want to consider using a computer algebra system to assist in

The Conjugate Zeros Theorem says that the complex zeros of a polynomial with real coefficients occur in complex conjugate pairs Explain how this fact proves that a polynomial with real coefficients and odd degree has at least one real zero

The base of a triangle is 24 cm and its height is 56 cm Find the area The area is cm

Multiply and simplify 3 18a6ab 3a 4 108a b Select one O True O False

10 10 10 X X 5 5 104 5 Y 0 5 10 y 104 5 0 5 10 104 5 10 Function Name 10 Function Name 10 Domain Range Applications Domain Range Applications Domain Range 30 X 10 X 5 5 Y 104 5 0 5 10 Y Function Name 104 0 5 1 10 10 Function Name 5 Domain Range Applications 10 Domain Range Applications

Ex The time t required to empty a tank varies inversely as as the rate of pumping If a pump can empty a tank in 2 5 hours at a rate of 400 gallons per minute how long will it take to empty a tank at 500 gallons per minute

kx Combined Variation y Mixes direct and indirect variation Z