Sequences & Series Questions and Answers

Available Prozac 20mg per 5mL How many mL s will the nurse administer

Which state elected an African American majority to its state legislature during Reconstruction

0 1 pt 399 Details Is the perimeter of a square a function of the length of one side Yes O No Question Help Video Written Example

A ship travels 96 km on a bearing of 17 degree and then travels on a bearing of 107 degrees for 125 km Find the distance from the starting point to the end of trip to the nearest kilometers

Use Excel or a financial calculator to answer the following Round your answers to the nearest penny Find the future value of 80 000 for 13 years at 12 if interest is a simple interest b compounded annually c compounded semi annually d compounded quarterly e compounded monthly f compounded daily 9 compounded every minute 525 600 minutes year h compounded continuously 204800 349079 45 363950 64 372070 87

A certain type of bank account gains 0 03 simple annual interest on deposits You deposit 2200 into the account and keep it there for 40 years How much is in the account after 40 years

Q3 Find and sketch the domain of the function i f x y z ln z y xySin z ii f x y iii f x y z z 4x 9 y 1 z x y 9 X

Q 5 Sketch the angle in standard position and write the reference angle of 780

uate the piecewise function at the given valu g x x 2 x 2 x 2 x 2

If loga b c logb c a logc a b then find the value of a a b b c c

Find the interval of convergence of the series 8 n 0 x 9 n 7n 7 OA 8 x 10 OB 2 x 16 OC 8 x 10 D x 10

Find a reflector Q that maps the vector a 3 4 1 3 1 to a multiple of the fir column of the 5 x 5 identity e Compute Q by writing it as uu u 2 Q I 2

K Perform the con 250 lb to kg 250 lb kg

3 The net of a rectangular prism and its dimensions are shown in the diagram below 4 cm 11 cm 8 cm 11 cm 8 cm What is the total surface area of the rectangular prism in square

The solution to the inequality x 10 6 is VI A IV 10

Which of these describes the transformation s of y x 5 2 Hint There are only 3 transformations Reflection over the x axis Reflect across the y axis Horizontal stretch Vertical stretch Horizontal shrink Vertical shrink Shift left 5 units Shift right 5 units Shift left 2 units Shift right 2 units Up 5 units Down 5 units O Up 2 units Down 2 units

Which of the following functions T R R are isomorphisms X 5x OA T y X OB T Y X Oc T Ly X OD T OE T Y X 5y 4x y X 7 y X X 3 5x 5y 5x 5y

K Write true or fals A yard is long Choose the corre O True False

The frequency F of a fire truck siren heard by a stationary observer is given below where av represents the velocity of the accelerating fire truck in meters per second see figure Round your answers to 3 decimal places 131 100 311 v a Find the rate of change of F with respect to v when the fire truck is approaching at a velocity of 27 meters per second use v b Find the rate of change of F with respect to v when the fire truck is moving away at a velocity of 27 meters per second use v

16 lim f x 2 0 lim f x 0 1404 lim f x 0 f 0 2 f 4 4444 lim f x 3 x 4 1

Directions For questions 17 22 find the function values using the given functions below f x 5x 20 g x x 5x 11 h x 2x 7 17 6 20 g 7 15 18 g 3 21 4 13 23 Given f x 5 3x if f x 19 find x Use the graph below for questions 25 28 Bad 19 8 22 f 1 g 2 24 Given g x x 1 g x 16 find x 25 Find f 6 26 Find f 0 27 If f x 5 what is 28 If f x 4 what is x

et T be the linear transformation whose standard matrix is A ne to one and whether it maps R onto R A T is not one to one but maps R onto R 3 OB T is not one to one and does not map R onto R OC T is one to one but does not map R onto R 3 D Tic ono to one and mans P Onto 3 1 3 4 Determine whether the linear transformation T is 4 3 8 2

A circular pool measures 10 feet across One cubic yard of concrete is to be used to create a circular border of uniform width around the pool If the border is to have a depth of 2 inches how wide will the border be 1 cubic yard 27 cubic feet The width of the border is approximately 10 ft

How many mL s will the nurse administer Round to the nearest tenth

Available Verapamil 240 mg per tablet How many tablet s will the nurse administer

The cost of manufacturing a molded part is related to the quantity of part produced during a production run When 100 parts are produced the cost is 300 When 500 parts are produced

Solving Systems of Linear Ec X C Lesso learn hawkeslearning com Question 4 of 8 Step 1 of 1 7 193 is invested part at 12 7 by 205 95 how much

Evaluate the function at the given values f x x 4 a f 6 b f 8 c f 0 a f 6 Simplify your answer b f 8 c f 0 Simplify your answer Simplify your answer

From a 24 cm by 24 cm piece of cardboard square corners are cut out so that the sides can be folded up to make a box Complete parts a through c below XI IX a Express the volume of the box as a function of the side x in centimeters of a cut out square

Solve for x Enter the solutions from least to greatest 522 3 83 lesser x You might need greater Calculator

4 Record the coordinates of the pre image and image in the table NI K L 8 7 6 5 4 3 2 1 PRE IMAGE 8 7 6 5 LINE 2 2545 4 5 6 2 3 4 5 6 7 8 do IMAGE

The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r If a car traveling 50 mph can stop in 250 ft how fast can a car travel and still stop in 40 ft The car can travel at a speed of mph

Hooke s Law The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object If the distance is 62 cm when the weight is 2 kg what is the distance when the weight is 8 kg The distance is cm Type an integer or decimal rounded to three decimal places as needed

Find the variation constant and an equation of variation for the given situation 1 y varies inversely as x and y 21 when x The variation constant is PAP

3 Record the coordinates of the pre image and image in the table below H G PRE IMAGE 8 T 6 5 4 3 2 3 J4 S 6 4 Re imag TAMT09000T M G IMAGE Verbal description of the translation

Let I be a line and let f l IR be a function such that PQ for every P Q in l Prove that f is a coordinate function for I I need too show that it is 1 1

the given interval wsing 4 left ch the curve and rectangles y x 5

x 3 W tion State the domain range and horizontal 2 y 18 16 12 Date 10 2 6 Period 8

6 When Melissa was born her parents put 8 000 into a college fund account that earned 9 simple interest Find the total amount in the account after 18 years

Math 1 Exponential Graphs Day 4 k shift Make a table and sketch the graph of each asymptote x A 1 y x 1 2 16 12 10 K

13 10 points Given a matrix find the projection of 0 1 0 4 6 9 A 0 2 1 to the kernel space of A

Complete the proof Justify all your steps Solve 3 x 6 6 x 15 60 Space over 5 to get to the second side if not using an sign One method uses fewer steps In that case use a space for the last statement and reason Statement Reason

Exercises 22 30 refer to the figure at the right 22 If LM 4 and MK 8 find JM 23 If LM 6 and JM 4 find MK 24 If JM 3 and MK 6 find LM 25 If JM 4 and JK 9 find LK 26 If JM 9 find LJ B 27 If JM 3 and MK 1 3 and JL 6 find MK 3 6 and MK 6 find JM 29 If LK L A JM K 28 If JL 9 and JM 6 fin 30 If LK 7 and MK 6 fi

C x 1 37x 2 136 84x 520 00 dollars to produce x computers and that a price per unit of p x 2 74x 260 00 is needed to sell all x units a

3 Identify the Domain and Range and then evaluate each function for the given value of x f 10 7 2 4 5 3 4 10 Domain XGIR 20 L 103 Range YEIRB Y L 10 f 10 20 Domain Range f 1 XLY 33 3401 1 Domain Range f 3 2

se the Trapezoidal Rule the Midpoint Rule and Simpson s Rule to approximate the given integral with the specified value of n Round your answers to six decimal places vsn 2 dt n 8 a the Trapezoidal Rule b the Midpoint Rule c Simpson s Rule

1 point Find explicit formulas for the sequences whose initial terms are given below That is find a formula for the nth term of the sequence In each case assume that the first term s index is 0 a 7 10 13 16 19 b 1 6 11 16 21 c an d an 1 2 3 4 4 9 16 25 an 14 9 3 9 27 2 n 0 help formulas n 0 help formulas n20 help formulas

9 For each of the following functions find a formula for the inverse function and then confirm you have the correct formula using composition a f x x 1 2 b g x x 3

1 point Use Euler s method with the given step size to estimate y 1 4 where y x is the solution of the initia value problem y x xy 1 Estimate y 1 4 with a step size h 0 2 Answer y 1 4 2 Estimate y 1 4 with a step size h 0 1 Answer y 1 4 y 1 3

Which is the product of the comp OA 6 2i O B 4 i