Complex numbers Questions and Answers

and passes through both the front and back sides of the figure 7 Directions Sketch and state the figure that is the cross section described for the given figure stated al

Patricia has 250 000 saved for retirement in an account earning 4 05 interest compounded monthly How much will she be able to withdraw each month if she wants to take withdrawals for 24 years Round your answer to the nearest dollar

Sketch two periods of the graph for the following function f x 3 tan 4x 20 1 TEL 3R KI K y 8 6 4 2 3x t

Find the sum of the infinite series 1 9 8 9 1 975 86 9a7 18 for those values of r for which it converges O83 92 8r 1 1 A O9r3 8r2 9r 1 1 A O 93 82 9r 8 1 A 8 92 8r 9 1 14

Graph the trigonometric function x 34 y cos x Espanol Plot all points corresponding to x intercepts minima and maxima within o cycle Then click on the graph a function button

From a window 32 0 ft above the street the angle of elevation to the top of the building across the street is 52 0 and the angle of depression to the base of this building is 15 0 Find the height of the building across the street 2 The height of the building across the street is Round to the nearest whole number as needed ft C This question 6 point s possible 52 0 15 0

given the graph of the function y f x find x such that f x 7 2 4 2 0 2 4 A f 4 6 6

ne the signs of the six trigonometric functions of an angle in standard position with the given measure 675 Determine if the value of sin 6 5 is positive or negative Positive O Negative Is the value of cos 675 positive or negative Positive Negative What is the sign of the value of tan 675 Positive Negative Is the sign of the value of csc 675 positive or negative Positive Negative Determine if the value of sec 675 is positive or negative O Positive O Negative What is the sign of the value of cot 675 CCCC

10 Evaluate the expression below given the replacement values 1 2x 42 if x 9 and y 3 A 68 B 42 C 60 D 53 E 55 to impress everyone to promote world peace to show how cool math is to win a bet to end world hunger

7 Given the graph of the function y f x find the domain A 0 00 B 1 2 C 2 1 D 1 5 E 0 1 F None of the above y f x 5 I 132S 4 3 2 5 4 3 2 11 2 3 4 5 1 2 3 4 5

Evaluate the expression below given the replacement values p 2q 7r if p 1 q 8 and r 4 A 24 B 12 C 20 D 11 E 13 pajamas bow ties gorilla costumes tu tus sunglasses

What is the end behavior of the graph As x approaches infinity f x approaches infinity O As x approaches negative infinity f x approaches negative infinity As x approaches infinity f x approaches negative infinity O As x approaches negative infinity f x approaches negative infinity As x approaches infinity f x approaches negative f x

Which functions have graphs that are steeper than the graph of f x 3x Select each correct answer g x 4x m x 4x j x 2x h x 2x k x 3x

2 Evaluate the expression below given the replacement values 10m n if m 3 and n 7 A 277 B 20 C 83 D 263 F 07 excited nervous shocked confused thrilled

8 0 Write the point stope form of the equation of the line through the given point with the given slope 8 through 3 2 slope 2 A y 2 2 x 3 B 3 x 2 0 3 1 D y 3 4x 2 9 through 2 5 slope A 2 x Cl y 2 x 5 Dj J 5 x 2 Write the point slope form of the equation of the line through the given points 10 through 5 1 and 5 1 O A 0 S B y 1 5 y 1 x 5 D I 5 11 through 11 3 and 0 3 A j 1 6x 3 B y 3 dz 11 C y 3 x 1 D p 1 6x 3 1

Use the graphs of the functions to solve the problem x x 4 g x 6 a f x g x b f x g x c f x g x 12 Xxx 6 0 6 1 12 N a Solve f x g x Select the correct choice below and if necessary fill in the answer box to complete your answer OA The solution set is x Simplify your answer Type a compound inequality O B The solution set is x x or x Simplify your answer Type inequalities OC The solution set is Simplify your answer Use a comma to separate answers as needed O D The solution set is the empty set b Solve f x g x Select the correct choice below and if necessary fill in the answer box to complete your answer

If f x 2 3x 1 and g x 8 solve the following a f x g x b f x g x c f x g x a Solve f x g x Select the correct choice below and if necessary fill in the answer box to complete your a OA The solution set is x x or x Simplify your answer Type inequalities OB The solution set is x Simplify your answer Type a compound inequality OC The solution set is Simplify your answer Use a comma to separate answers as needed The solution set is the empty set

Evaluate the following expression 18 8 8 18 18 8 8 18 11 Type an integer or a simplified fraction

Solve the absolute value inequality Graph the solution set x 1 2 5 Type your answer in interval notation Ose megers or actions for any numbers in the expression B The solution is the empty set Graph the solution set Choose the correct answer below OA 12 10 8 6 4 2 0 2 12 10 8 6 4 2 0 2 OC OE HHH 4 4 6 H 12 10 8 6 4 2 0 2 4 6 6 8 10 12 8 10 12 8 10 12 O B 12 10 8 6 4 2 0 2 4 6 8 10 12 O D 12 10 8 6 4 2 0 OF H 12 10 8 6 4 2 0 2 2 4 4 6 8 10 12 6 8 10 12

Russell runs 9 10 mile in 5 minutes At this rate how many miles can he run in one minute

Use the graphs of the functions to solve the problem x x 1 g x 6 a f x g x b f x g x c f x g x NUME 12 86xx 6 to 0 6 12 COD a Solve f x g x Select the correct choice below and if necessary fill in the answer box to complete your answer O A The solution set is Simplify your answer Use a comma to separate answers as needed OB The solution set is x Simplify your answer Type a compound inequality OC The solution set is x xs or x 2 Simplify your answer Type inequalities O D The solution set is the empty set

Find the prime factorization of 99 Select the correct choice below and fill in any answer boxes within your cho OA 99 OB The number is prime

Use the quotient rule to simplify 8 4

Determine whether the algebraic expression is a polynomial If it is a polynomial write the polynomial in standard form determine its degree and state if it is a monomial binomial or trinomial If it is a polynomial with more than three term identify the expression as a polynomial 6x 23 Select the correct choice below and if necessary fill in the answer boxes to complete your choice OA The expression is a polynomial The expression in standard form is OB The expression is not a polynomial The expression 6x 23 is a trinomial a monomial a binomial and the polynomial has degree

lify the expression 5g Simplify your

Determine the additive inverse of 462 What is the additive inverse of 462

Find the product x 7 x 7 x 7 x 7 Simplify your answer

Evaluate the following expression 10 5 8 3 10 15 8 31

Add the polynomials 8m 7m 7 6m 7m 8 8m 7m 7 6m 7m 8 Simplify your answer Type your answer in standard form

Subtract the following polynomials 3t 7t 2 3t 7t 2 Simplify your answer Type your answer in standard

Simplify the expression 3 7 3 7 O 40 58 09 21

01 08 HC Find the volume of a rectangular prism if the length is 2x the width is 4x2 and the height is 2x2 x 7 Use the formula V I wh where I is length w is width and h is height to find the volume O8x6 8x4 56x O8x5 8x4 56x O 16x6 8x4 56x 16x5 8x4 56x3 E

Read stanza 2 of the poem How does Poe use hyperbole to develop a theme in the poem I was a child and she was a child In this kingdom by the sea But we loved with a love that was more than love I and my Annabel Lee With a love that the winged seraphs of heaven Coveted her and me

Which of the following represents 7 in exponential form 61 O9x7

First order closed loop system a b R s E s 1 TS Derive closed loop transfer function Apply a unit step input to the system 7 Marks 63 2 N 86 5 The output response y t of the system is shown in Figure 8 Proof the y t response by using inverse Laplace transform y t 95 98 2 99 3 Y s 0 2T 3T 4t 5t Figure 8

1 Solve by graphing y x 2x 1 y 2x 1 b x y 4 y 2x 2 Solve by substitution Show your work y x x 1 y x 1 3 Solve by elimination Show your work y 2 x 2 y x 4x 2

Which is the graph of B b a C PO 18 SH A 71 d 13 2 x 2 47 ITS C 8 10 18m NI T

y 2 x 1 1 Select one O a y 20 O b y21 O c y2 1 O d all real numbers Check Describe how to transform the parent function y x to the graph of the function y 2 x 3 1 reflect across the x axis compress by a factor of 2 translate 3 units up translated 3 units right translated 1 unit up Choose Choose Choose Choose Choose

The acceleration due to gravity is The acceleration due to gravity is meters per second feet per second

Use the quadratic formula to find the exact solution s for x 3x3 0 b 3 21 2 3 21 2 3 3 2 3 3 2 c d Select one O a O b O c Od

1 Describe how to simplify i 2 Write the quotient as a complex number rationalize the denominator Show steps b 7 13i 21 1 i dkry 4 i 2 4 iv 2 3 Find the factored form Use imaginary numbers to write as the product of two binomials

Match the value of the discriminant with the correct graph for a quadratic equation ax bx c 0 two x intercepts a b C V no x intercepts y A one x intercept 4 6 4ac 0 Choose b 4ac 0 Choose Age 0

Consider the polynomial below P x 16x 2x 3x 1 List all potential rational roots using the Rational Root Theorem Separate your numbers by commas Do not include any repeats Positive negative pairs must be entered separately list of possible rational roots

Question 1 0 Select all of the following graphs which represent y as a function of z 50 2 54 CH T 1 a

Check DUA x 12 13

36x 25 X

Write the parametric equations in the given Cartesian form x 2t t y 7 3t

X Check 3x 2x 21 X 2 Check 64

124 x X

X Check 20x 25x X Check x 14x 33 0