Complex numbers Questions and Answers

Approximate each number using a calculator a 153 14 R 153 141 c 1531415 d 15

b Sketch a graph with a line of symmetry of at 4 a range of y 0 5 and x intercepts 3 units from the line of symmetry 3

2 Given f x 6x and g x 4x 8 find the following expressions a fog 4 b gof 2 c fof 1 d gog 0

Evaluate each expression using the values given in the table 01 2 3 1 2 5 8 X f x g x a fog 1 d gof 0 3 2 1 8 5 2 7 2 0 1 b fog 1 e gogx 2 0 2 7 c gof 1 f fof 1

The domain of a one to one function f is 9 00 and its range is 4 00 State the domain and the range of f 1 What is the domain of f The domain off is 4 00 Type your answer in interval notation What is the range of f The range of fis 0 Type your answer in interval notation

line of sy decreasing maximum minimu range of a quadratic function a Graph the function y x 2x 3 complete the cable of values and identify the key features X 6 5 4 3 2 1 O 1 y Vertex Feature x intercept s y intercept Line of symmetry Max or Min Domain Range Interval of increasing Interval of decreasing

b x 6x 45 0 Solution Method c 3x 11x 4 0 Solution Method

Describe the transformation of the parent function y 2 ion y 2 x y 2x 5 y 2x y 2 5 y 5 2x Check Choose Choose Time min Choose Choose The table be See Example Choose Choose relfected across the origin stretch by a factor of 5 translated 5 units up compressed by a factor of 5 translated 5 units to the left reflected across the y axis translated 5 units to the right reflected across the x axis com 4 for the cake Use a calculator E elp

2 Use a the graph of y ex to evaluate e to four decimal places

The domain of a one to one function f is 7 00 and its range is 7 00 State the domain and the range of f What is the domain of f 1 The domain of f is Type your answer in interval notation

Suppose that f x 5 a What is f 4 When x 4 what is the point on the graph of f 1 b If f x 25 what is x When f x what is x When 1 f x 25 what is the point on the graph of f a f 4 The point is on the graph of f Do not use commas in any individual coordinates

Solve the equation Write the answer in terms of the common logarithm 2 108 x 3 The solution set is T

Find the domain of the function h x In x 3 The domain of his Tyne your anSING

Change the logarithmic statement to an equivalent statement involving an exponent log 39 x The equivalent exponential statement is Type an equation

Carolina is observing the launch of a Space X rocket from the command center When she first sees the rocket the angle of elevation to it is 16 degrees Later the angle of elevation is 74 degrees If the command center is 2 1 miles from the launch pad how far did the rocket travel while Carolina was watching Round to the nearest tenth of a mile

inches long to ride up What angle of elevation should he build it at Sketch a diagram write an b Pedro is building a skateboard ramp that will be 16 inches high and the incline ramp will be 62 equation and solve to the nearest degree

a Solve for the x and y in the given triangle Round answers b Using the diagram and values to nearest tenth found in part a find the sine cosine and tangent of the referenced angle Write the ratio as a fraction y 90 14 x 25 sin 25 cos 25 tan 25

Simplify each expression using the properties for exponents Answer with p a 272 8 b c t c t c 2y 7x 3y x 6

A dog eats soft food out of a 16oz packet Every day the dog eats its meals split into three dishes breakfast lunch and dinner If the dog needs to eat 11oz daily how many oz would be in each dish

Solve the three equations below You must solve one using the zero product property one by completing the square and one by using the quadratic formula State which method you chose and whether the types of solution s are rational irrational or non real complex Answers should be left in exact radical form simplified and approximate decimal form rounded to nearest tenth Solution Method a x 6x 19 0

Approximate the number using a calculator 1 7 22 Round to three decimal

Complete the sentence below If every horizontal line intersects the graph of a function at no more than one point f is a n If every horizontal line intersects the graph of a function at no more than one point f is a n function function

y 2 0 1 0 1 2 1 2 3 4 Click the button BELOW the correct graph 2 O 3

What is the inverse of the function h x 3 4 x 12 h 1 x

11 What is the common denominator of in the complex fraction O a b O a b Oa b ab 1181 1111111 a b a b

nd the domain of the following vector t 81 fi j k KO

ABCD is a square AC 4x 6 DB 2x 9 Find the perimeter

tan A B when sinA is 4 5 and sinB is 40 41

What is the sum 3 2 x 3x 3 x 3 0 3 O X 5 X 3 X 5 3x 27 6x X 3

property d 10d 25 16 O d 1 10 Od 1 9 Od 11 1

tion 4 vet ered ted out of ag tion What is the directional a 3 5 3 2 5 2 1 5

f Given 6 3 Choose the correct statem Select one or more a The direction of th

2j 4k 2j k5 15j 4j 4k 2j k5 15j 4 4j k 2jk5 15j

What is the factored form of the expression 2 6x 5x 1 O 3x 1 2x 1 O 3x 1 2x 1 O 3x 1 2x 1

Find the factors of the number then classify the number as prime or composite 28 O 2 4 7 14 Composite O 1 2 4 7 14 28 Composite O 2 2 7 Composite

Find The GCF of the given mon 75 27 O 15 0 1

Write an equation that represents the function graphed in blue by using transformations from y a which is graphed in green Equation 18 5 18 in 5 10 y 1 5 18 x

which consists of 2 bedrooms BR and 1 living room LR Shown below are the rectangular floor plan left figure and a side view of the cabin right figure In the side view the roof forms an isosceles triangle AABC the walls are perpendicular to the level floor ED AC ED F is the midpoint of AC and BF LAC 24 36 L S 360 O 171 LR A 171 B 324 C 360 D 396 E 720 324 BR 396 O 720 S BR walkway 30 S closet 30 A 1 5 E B During the week the Smiths plan to roof the cabin there is a 20 chance of rain each day 30 F 30 35 Mr Smith plans to build a 3 foot wide walkway around the outside of the cabin as shown in the floor plan What will be the area in square feet of the top surface of the walkway 24 C 1 5 D

A line through the origin and 10 4 is shown in the standard x y coordinate plane below The acute angle between the line and the positive x axis has measure 0 What is the value of tan A V29 B C D EN E E V29 29 2 5 5 n y 0 10 4

The graph of y x6 is in the standard x y coordinate plane Which of the following transforma tions when applied to the graph of y x results in the graph of y x 6 O Translation to the right 6 units O Translation to the left 6 units O Translation up 6 units O Translation down 6 units O Reflection across the line x 6

f x x 4 3x 3 7x 2 27x 18 given that 3 and 3 are zeros

What is the slope of the line that passes through 3 5 and 4 2 Feedback A 1

12 Find the equation of a line perpendicular to x y 10 that passes through the point 6 2 A x y 10 B y x 4 C y x 4 D x y 8

7 What is an equation of the line that passes through the point 1 6 and is perpendicular to the line x 3y 27

A pizza with a diameter of 20 inches is cut into 6 slices If the crust is 1 inch wide find the area of 1 slice that is NOT just crust NOTE The answer is not a whole number times pi Type a response

5 Find the exact area of the shaded region 8 m

Quadrilateral A B C D is the image of quadrilateral ABCD under a rotation about point Q C B A Qo BD Choose all answers that apply Determine the angles of rotation 90 clockwise 180 A 90 counterclockwise 270 clockwise D 270 counterclockwise

15 37 Partial derivatives Find the first partial derivatives of the following functions Show Transcribed Text 2

A square with side length 10cm is inscribed in a circle drawn so that all vertices corners touch the circle on the inside 10 cm You will now be asked to find the 5 Find the radius of the circle Type a response 6 Find the circumference of the circle Either type your answer using or round to 1 decimal place

1 In your own words what is the difference between a bear market and a bull market What effect would the market have on your investments