Complex numbers Questions and Answers

Determine the domain and range of the function h x log x 2 3 shown in the graph Domain All Real Numbers R Range y 3 Domain All Real Numbers R Range y 0 Domain x 3 Range All Real Numbers R Domain x 2 Range All Real Numbers R hix log x 2 3 AM M h

Solve the equation 3 27 0x 3 0 x 0 x 1 x 24

What is the asymptote of f x log x 2 3 shown in the graph 07 4 X 2 y 2 x logix 2 7

Rewrite the logarithm as an exponential equation 3 log 125 03 125 0125 5 05 125 3125 Question 9 2 points Simplify

For a triangle a 6 b 5 c 8 is equal to the length of the sides is the angle B of the triangle

Determine the shaded area 1 in 2 in Q The shaded area is Type an integer or decimal rounded to the nearest hundredth as needed

Determine if the function e is an eigenfunction of the operator x 2 2 2 and if so 2m determine the eigenvalue dx 2 5

For the following exercise simplify the rational expression 16 3 2 x 1 X 1 x 1 x 1

Suppose a rectangle has width Choose the correct translation o Five feet more than four times 4W 5 L 2 5 4W 1 2 L

Find the complex number z in Cartesian form such that it satisfies the equation 1 3 i 3 i 5z 32 1 3i

10 10 1 by 10 10 1 Part 1 Evaluate C 2 Part 2 Evaluate C 1 Part 3 Determine c 2 c 1

Suppose that you have ordered one small order of French Fries and one 12 ounce chocolate shake at your favorite eatery The fries have 16 grams of fat and the shake has 15 grams of fat Each hamburger has 11 grams of fat How many hamburgers can you order and still keep the total fat content of the meal to no more than 97 grams

4 D x is the function defined by the following table of values 2 3 1045 2032 X D x Part 1 Evaluate D 0 1 2045 0 1 5204 9612 Part 2 Evaluate D 5 2 3 6457 4576 4 3578 5 7412 Part 3 Determine D 0 D 5

Graph the following system of equations and find any solutions Check the answers Identify the system as consistent or inconsistent If the system is consistent state whether the equations are dependent or independent x 2y 24 2x y 9

EXPONENTS AND POLYNON ing the Pythagorean er leg of a right triang

Find a so that the point 1 1 is on the graph of f x ax 5 a Simplify your answer

OEXPONENTS A Using the Pyt The longer leg of a

Use the points shown on the graph to the right to determine the slope of the line box to complete your choice A The slope of the line is GERERE Type an integer or a fraction OB The slope is undefined 40 Ay 6 1841 10

Express each of the following in simplified Cartesian form b 2 0 1 7 1 i 3 i 1 1 20 10

f x x 6 2 6x 19 Find f 1 for for x 5 x 3

A z E C Im z 2 3i 5 B z E C Rez 3 2 Im z 4 C z E C Im 2 2

You are working with a quadratic equation and construct the following table X 654 6 5 4 3 321OTN3 3H5830T 2 24 1 y 80 63 48 0 456 15 1 830 Identify the vertex of the parabola Remember that the vertex is a point Identify the y intercept of the parabola Remember that the y intercept is a point Identify the x intercepts and Remember that the x intercepts represent points on the graph Given the x intercepts above write an equation for the parabola in factored form y Hint Think about the zero product property Write an equation for the axis of symmetry

Introduction to the composition of two functions The functions r and s are defined as follows r x 4x 5 s x x 4 Find the value of 7 s 3 s 3 0 0 0 X S

Graph the linear equation f x 2x 3 Use the graphing tool to graph the linear equation

Graph the linear equation y 9 0 on the graphing tool to graph the equation

Find the domain and range of the following relation Also determine whether the relation is a function 4 3 4 4 4 6 4 9 What is the domain of the given relation Use a comma to separate answers as needed K

ewrite the expression by 7u u 5 2 u 5 0

Domain of a Composite Func d x x 6 e x What is e d 8 What is ed 3

12 3 T Given that sin x and a 2 find csc Leave the answer as 13 2 reduced fraction and enter negative signs if any in the numerator CSC x 010

f x x 5x 6 g x x 2 1 9 Find 4 The domain of 1 x is x

K Determine visually whether the function is Is the function odd even or neither OA Odd O B Even

f x x 3 for xs 5 1 for 5 x 6 1 for x 26 Choose the correct graph below OA Q OB DO Hittem PERE PR S oo OD OITTELH HEIN WE H S PAUSTEES SCELTNEH mitte A 86

For the piecewise function find the values g 5 g x a 5 x 7 for x 3 8 x for x 3

Find the zero of the linear function 3 f x x 15 x 0 X Type an integer or a simplified fraction

Find the real solutions of the equat x x 1 1 Select the correct choice below an

A function fis given f x x 2 a Sketch the graph of f O 10 5 10 5 5 y 10 y 5 10 10 5 10 y 10 5

28 Q What is the direction angle of the blue vector What is the bearing of the blue vector 18 What is the direction angle of the red vector What is the bearing of the red vector 00

Write expression log answer completely log x y 219 Add Work 219 as a sum or difference of logarithms with no exponents Simplify your 4 log x 9 log y 19 log z

Find the the domain of the function f x O xl x 8 O xl x 16 Oxl x 16 and x 8 O x x 16 OxIx 8 and x 2 x 8 x 6x 2 16

Evaluate the function f x a f 8 b f x 6

For the following function one zero is given f x x 3 13x 2 57x 85 4 i

PROBLEM 4 Compute and mark on the complex plane 7p the roots of p z z 4z 30z 4z 29 knowing that p j 0 1 1 3p solutions of the equation z5 2 2 3

eat least 90 minutes At the testing center is hours and all other

Q1 Find Solution of f 2 3 and f 3 8 using Newton s Interpolation Difference formula x 2 2 5 3 3 3 5 7 14 125 4 2540 375 61

8 solve for T 9 solve for n 10 solve for d 50 0 4 18x 1 11 solve for p n 781 2 Lab Exercise 1A Calculator and Math Review x100 23 71 12 solve for s 0 113 d x100 76 2 11 16 16 11 Simplify the following x100 p 25 0 25 0 s x100 28 1 ks

2 d f 1 w 17 n 4m 18 1 n 7 2 14 m I

Which mathematical areas or field these axioms belong x y x 2xy y x y x 2xy y 2 3 x y x 3x y 3xy y x y x 3x y 3xy y

3 1 Find all complex solutions of the equation 25 81 3 2 0 Write the roots in exponential f and use principal value of their arguments

Find the argument of the complex number 3 8i in the interval 0 0 360 rounding to the nearest tenth of a degree if necessary

sin cos tan 0 Need Help Watch it 3 Points DETAILS LARTRIG10 1 4 502 XP 0 4 Submissions Used Evaluate the sine cosine and tangent of the angle without using a calculator If an answer is undefined enter UNDEFINED 5x 4 sin 8 Cos 0 MY