Complex numbers Questions and Answers

Find the following Indefinite Integral x 5x 3 2x 1 dx a 3x b c 10 100 3 7 3x 10 3 7 7 3 4 4x C 13

Find the following indefinite integral fe cos e 7 dx a e sin e 7 c b e sin e 7 c c sin e 7 c d sin e 7 G

Find the following indefinite integral tanxsec xdx O O a 1 sec x c b tan1 0x c 1 c tan 0x c d 1 10

Find the following indefinite integral 17e 11 3x5 dx O a 17e 11 m11 2x c 6 b c d 17e 11 In11 5 17e 11 In 11 11 3 5 6 0 x6 c

Suppose you deposited 80 per month into a savings plan for 6 years and at the end of that period your balance was 19 000 What was the amount you earned in interest

Convert 54 C to Fahrenheit Use C

22 14 21 38 Question 5 20 points Given g x can be described by the set of points 1 3 0 2 1 2 3 1 5 4 find when g x 3 01 O 1 0 4

Using the graph below solve the equation 2 4 x 2 4 3 1 X 3 7 or x 0 X 2 2 2 or x 2 x 1 7 or x 2 f x 2 4 x 3 or x 2 g x x 2

Identify the inequality that represents the graph 0x x 3 x 2 Oys 3x 2 x 3

Which graph below shows the system O 5 4 3 2 1 5 4 3 2 5 MX 2 2 3 2 531 21 5 1 2 2 3 1 23 5 4 5 x 4y 4 x 2y 8

Solve the following system of equations using ELIMINATION 2x 2 8 Which is the correct solution to the system 1 3 4 5 3 1 No Solution

5 3 Find the global maximum and minimum points of the function f x 5x x 4 on the interval 1 3 a The global minimum is 2 at x 1 The global maximum is 4 at x 0 b The global minimum is 2 at x 1 The global maximum is 23 9 4 at x 3 O c The global minimum is 334 4 at x 2 The global maximum is 4 at x 0 d The global minimum is 239 4 at x 2 The global maximum is 4 at x 0

f 5 x 5 Expand and simplify f 5 h You MUST expand and simplify for full credit Expand and simplify f 5 h f 5 You MUST expand and simplify for full credit Show your work here Edit

Find the area of the trapezoid shown below 16 9 8 2 16 4 20 5 18 3 Q

Find the derivative of y 3 sin 7x 1 O a dy dx b dy dx c dy dx d dy dx 7cos x 3 sinx 2 7cos 7x 1 3 sin 7x 1 cos 7x 1 2 3 sin 7x 1 3 7 3 cos 7x 1 3

atics SPRING 2023 ork 7 3 K A single fair die i

Answer true or false for the following stateme x x is a whole number greater than 3 and le

Find the probability of the given event Choosing seven numbers that match seven randomly selected balls when the balls are numbered 1 through 37 The probability of the given event is Type an integer or a simplified fraction

Let z 2 2 2 2i a Compute the modulus of z 4 b Compute the argument of z c Write z in polar form cos i sin d Find the square roots of z Enter answers separated by commas

what is the minimun degree of a polynomal equation with rational coefficients one of whose roots is 9 7 8i

Juanita Domingo s parents want to establish a college trust for her They want to make 16 quarterly withdrawals of 2000 with the first withdrawal 3 months from now If money is worth 6 3 compounded quarterly how much must be deposited now to provide for this trust

Suppose that a particle moves along a straight line with velocity v t 9 2t where 0 t 4 in meters per second Find the formula for the displacement of the particle and the total distance it has traveled at time t 4 seconds Displacement at time tis Total distance traveled meters in 4 seconds

A robot is on the surface of Mars The angle of depression from a camera in the robot to a rock on the surface Mars is 14 62 The camera is 162 0 cm above the surface How far is the camera from the rock The camera is cm from the rock

Find the volume of the indicated region 14 x the region bounded by the paraboloid z 1 25 A 225 T B 3 457 2 81 and the xy plane 405 TU D 157 15 the region in the first octant bounded by the coordinate planes and the surface z 100 x y A 25 000 B 80 000 3 C 100 000 3 D 200 000 9 14 15

6 Show Transcribed Text Ty 6 4 G G b The graph of y g x is shown Draw the graph of y g x 4 Tr 07 X X

2 In an experiment where a pair of indistinguishable dice is thrown and the numbers facing up are added the sample space is 2 3 4 5 6 7 8 9 10 11 12 The set of all integers from 1 to 36 36 13 A C E G 1 2 3 4 5 6 1 2 3 4 5 6 4 6 8 9 10 12 15 16 18 20 24 25 30 36 11 21 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 B D F H 1 1 1 2 1 3 1 4 1 5 1 6 2 2 2 3 2 4 2 5 2 6 3 3 3 4 3 5 3 6 4 4 4 5 4 6 5 5 5 6 6 6 Three distinguishable coins are tossed and the sides facing up are noted A 0 1 2 3 C HHH HHT HTH HTT THH THT TTH TTT B D 1 2 3 HHH HHT HTT TTT

Q In an experiment where a pair of distinguishable dice one red one green is thrown and the numbers facing up are multiplied the sample space is 2 3 4 5 6 7 8 9 10 11 12 The set of all integers from 1 to 36 36 13 A C E G A C 1 2 3 4 5 6 1 2 3 4 5 6 4 6 8 9 10 12 15 16 18 20 24 25 30 36 11 21 E G 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 Q In an experiment where a pair of indistinguishable dice is thrown and the numbers facing up are added the sample space is 2 3 4 5 6 7 8 9 10 11 12 The set of all integers from 1 to 36 1 2 3 4 5 6 1 2 3 4 5 6 4 6 8 9 10 12 15 16 18 20 24 25 30 36 11 21 B 1 1 1 2 1 3 1 4 1 5 1 6 2 1 2 2 2 3 2 4 2 5 2 6 3 1 3 2 3 3 3 4 3 5 3 6 4 1 4 2 4 3 4 4 4 5 4 6 5 1 5 2 5 3 5 4 5 5 5 6 6 1 6 2 6 3 6 4 6 5 6 6 D F H B D 1 1 1 2 1 3 1 4 1 5 1 6 2 2 2 3 2 4 2 5 2 6 3 3 3 4 3 5 3 6 4 4 5 4 6 5 5 5 6 6 6 F H 36 13 1 1 1 2 1 3 1 4 1 5 1 6 2 2 2 3 2 4 2 5 2 6 3 3 3 4 3 5 3 6 4 4 4 5 4 6 5 5 5 6 6 6

y2 x 1 ysSx 5 L ysx 7 o 2 Q Drag each graph given above into the appropriate area below depending on which graph corresponds given L 2 yzx 4 4x 2y 8 3x 3y2 7

Choose the correct answer below O 0 75 kg 0 75 g 0 75 mg

Choose the correct answer below O 0 55 mg 0 55 g 0 55 kg O O

Which unit of measurement would Choose the correct answer below O Grams O Millimeters

Choose the correct answer below 19 mg 19 g 19 kg

The entry level salary for a teacher is 25000 with a 4 increase after every year of service Q Write a sequence for this teacher s salary for the first 5 years of service Round answers to 2 decimal places where necessary b Find the general term of sequence in part a an

how to use both half angle identity and sum difference identity to find the value of cos 165

Figures Proportion Level 1 f Triangle DEF is similar to triangle GHI Find the measure of side IG Round your answer to the nearest tenth if necessary Similar Apr 21 11 32 47 PM F 7 E D H 31 G

Find the component form and magnitude of the vector v initial point 4 3 terminal point 28 7 component form magnitude V v

A helicopter is rising straight up in the air Its distance from the ground t seconds after takeoff is s t feet where s t 41 12t a How long will it take for the helicopter to rise to 40 feet b Find the velocity and acceleration of the helicopter when it is 40 feet above the ground a The time it will take for the helicopter to rise to 40 feet is seconds SCLOS

4 Solve the following equations on 0 27 Your solution should be EXACT if possible a cos 0 sin 0 0 b tan 0 1 sec 0 1 0 c 2 cos 0 cos 0 0 d 2 sin 0 3 sin 0 1 0 e 2 sin 0 3 sin 0 1 0 f 8 12 sin 0 4 cos 0 I

0 Untitled presentation Google es SPRING 2023 k 7 2 Zane owns a restaurant which

2023 e the Venn diagram to determine the number of e BUC

Use the union rule to answer the question If n A 10 n B 12 and n ANB 5 what is n AUB Determine which expression can be used to find n AUB Choose the correct answer below OA 10 12 5 OB 10 12 O C 10 5 12 OD 10 12 5

An BUC determine the number of elements in the following set The number of elements in the set is Type a whole number 4 5 2 9 0 of 1 3 S 7 B

Find the focl length of the major and minor axes for the conic then graph the conic 25z 169y4225 Be sure to enter each answer in the appropriate format Hint What is the appropriate notation for a line or a point or just a number Maximum positive focal point Minimum negative focal point Length of the major axis Length of the minor axis Graph the conic 14 13 12 1 10 9 8

Step 1 of 2 Identify the general shape of the graph of this function nswer Ay qq 1311 Ay X Cartesian Graph x

A person accepts a position with a company at a salary of 46 500 for the first year The person is guaranteed a raise of 2800 per year for the first 5 years Determine the person s total compensation through 6 full years of employment

In the diagram lengths b and a are known and angle a is known a b h bsina Which condition tells you that you can form 2 triangles with sides a and b and angle a

a central angle of 15 degrees is drawn in a circle with a radius of 8 units what is the length of AB the intercepted arc to the nearest tenth

nched from a tower The height of th nch x in seconds by the given equati hich the rocket will reach its max to th y 16x 2 238x 81

Write the equation for the graph shown 10 8 6 4 2 8 6 Oy 3 x 8 6 Oy 3 x 8 6 Oy x 8 6 10 8 6 2 1 3 2 4 6 8 10 2 A 6 8 10

C 41 ft 3 Find mLA 29 ft 45 A 117 B 28 ft C 15 ft B