Questions

uppose you deposit your graduation cash gifts into an account that pays 4 annual interest compounded continuously If you are 18 when you graduate get 1000 in cash gifts and leave the money in the account until you are 30 how much money will you have Round to the nearest dollar At age 30 I will have S

Direct processes that secure domination and the privileges associated with it

Higher value placed on behaviors practices characteristics typically associated with whiteness

D E 70 F 100

Unanswered Due Mar 6th 11 59 PM Match each expression in the right column to the appropriate expression in the left column f x 2x 3 Drag and drop options on the right hand side and submit For keyboard navigation SHOW MORE f h f x h f x f h f x h f x h f x E E 2x 2h 6 2h 3 2h 2x 3 h 2x 2h 3

Apply Jefferson s method to the following sets of states with the given populations Assume that 100 delegates are to be apportioned State whether the quota criterion is satisfied A 115 B 675 C 205 modified divisor 9 78 Determine the number of representatives for each state using Jefferson s method with a modified divisor of 9 78 A B C

a f x 1 M 2 1 0 1 1 Find g 2 g 2 and g 2 2 5 6 7 8 The function f is continuous on the interval 2 7 and consists of three line segments and a semi circle as shown in the figure above The function g is defined by g x d Let h x f 5x 9 Find h 3 2 X J f t dt 2 b Find the x coordinate of the critical points on g x on the interval 2 7 Classify each critical point found in part b as a relative minimum relative maximum or neither for g Justify your answers c Find the interval s where g is increasing and concave down Justify your answer

Find the domain of the function 15 2 3 on Q

Problem 7 Let f x 1 0 8 x 1 2 Suppose that we approximate f x by the 4th degree Taylor polynomial T4 x centered at a 1 Taylor s inequaltiy gives an estimate for the error involved in this approximation Find the smallest possible value of the constant M referred to in Taylor s Inequality Problem 7 Your answer cannot contain any decimal 0 00122 points 0 00122 Enter your answer symbolically as in these examples

Choose all of the following that are ways we can interpret or apply the derivativ the slope of the tangent line the average rate of change the instantaneous rate of change O the slope of the secant line

Work required Find the derivative of the function O O 0 1 2 2 5z 1 O2 52 1 55 8 2z 1 6 52 1 4z2 SU 52 1 2 3

No work required Identify the derivative of f x sec 2x O sec 41 O 4r tan 22 47 sec 27 tan 27 O COS 4x O sec 42 tan 47

Work required Find the slope of the curve at the given point Hint use implicit differentiation y x y 2r 2 1

y 1 47 e 0 22t cos 4 9t ere y is the displacement in feet and t is the time in seconds Use a graphing utility to graph the displacement function for 0 t 10 Find t e beyond which the distance between the weight and equilibrium does not exceed 0 85 ft Round your answer to 2 decimal places S

Which is the standard linear approximation of a function at x a L z f a z a OL z f a f a x a OL T f a f a z a O L T f a ra O None of the above

No work required Identify the derivative of f x 2e O 6e O 2e3 00

Work required Given the position s f t of a body with s in meters and t in seconds find the body s acceleration each time the velocity is zero s t 6t 9t Enter the answer here acceleration If you have more than one value separate the answers with commas Enter fractions as a ratio if needed e g 1 4 and omit units

Work required Find the derivative of the function 0 72 7 2 1 1 0 1 0 72 7 1 1 072 7 0 72 7 0 7z 7 1 y z 7x 1

No work required Identify the derivative of f x 4 2x x O 2 32 2 O 2 31 2 O 2 3x4 O4z 2 37

O tan 12 O 12 sec 12 O 12 sec 12r tan 122 12 1 144x2 O Identify the derivative of f x tan 12x O 1 144z sec 122

Work required Enter answers below omitting units and keep answers exact i e do not estimate but include in your answer appropriate You may write pi if you like A spherical balloon is inflated with helium at a rate of 100 ft min Note V and S 4TT2 A How fast is the balloon s radius increasing at the instant the radius is 5 ft B How fast is the surface area increasing

O2 In sec 0 tan 0 Work required Find the derivative of the function O 2 tan 0 O O 2 sec 0 2 SMC Lan f 0 In sec 0

Match each compound statement to its symbolic form g r p rq p p q r q The topic of logic is interesting r I do not miss class rp q p q Ar r p g r pv q p q r r q V p p q T a I do not miss class if and only if I like math and the topic of logic is interesting b If I miss class then the topic of logic is not interesting or I like math c I like math and if the topic of logic is interesting then I do not miss class d I do not miss class if and only if the topic of logic is interesting and I like math e I like math if and only if the topic of logic is interesting and I do not miss class f If I miss class then it isn t true that I like math and the topic of logic is interesting g If it isn t true that I like math and I find the topic of logic interesting then I miss class h If I like math and the topic of logic is interesting then I do not miss class i If I miss class then I don t like math or the topic of logic is not interesting j If the topic of logic is interesting and I do not miss class then I like math

Determine the truth value of each compound statement when p is false q is true and ris false p r pv g P q r p q r P q r P q r Question Help Video Message instructor F T v

Find the missing factor in the following expressio 7x 2 7 x 2 7X 2 7x 2 7 2 7x 2

Fill in the blanks in the following truth table Pq P p q p q V p TT TF V v v FT v FF v v

simple statements p The water is warm q The sun is shining r We go swimming Match each compound statement to its symbolic form If the water is not warm then the sun is shining or we go swimming The sun is shining if and only if the water is warm and we go swimming If the sun is shining then the water is warm or we go swimming If the sun is shining and we go swimming then the water is warm If we don t go swimming then the sun is shining and the water is warm The water is not warm and the sun is shining or we go swimming If the sun is shining then we go swimming and the water is warm The water is warm or the sun is shining and we don t go swimming If the sun is shining then the water is warm if and only if we go swimming The water is warm and the sun is shining or we go swimming a q p Vr b pVg r c q p Ar d p qVr e q r p f r q P g q r p h p qVr i p g Vr

Let p and q represent the following statements p You study hard q You graduate with honors Write the following statement in symbolic form You don t study hard or you don t graduate with honors To enter your response select the appropriate statement in each of the dropdown boxes and select the appropriate operation in the middle If only one statement is used select none for the operation in the middle and the statement in the second dropdown box Be sure to enter the statements in the same order as in the given sentence O AO V Onone Select an answer

For the simple statements p It is a frog q It has feathers Write each compound statement in symbolic form V It is a frog if and only if it has feathers If it has feathers then it is a frog If it is not a frog then it has feathers

2 Count the number of breaths taken in 1 minute Note the depth of breathing at one of three levels Record the data in TABLE 21 8 Table 21 8 Factors Affecting Rate and Depth of Breathing Test Factor Normal breathing Breath holding Rebreathing air Breathing Rate breaths minute Breathing Depth

Consider the set of whole numbers from 1 to 10 inclusive List the numbers that meet the condition less than three and odd

For each expression below write an equivalent expression that involves x only Assume x is positive 69 cos cos x 70 sin sin x 71 cos sin x

Use a calculator to evaluate each expression to the nearest tenth of a degree 39 sin 0 1702 40 sin 0 1702 41 cos 0 8425

2 21 52

Evaluate without using a calculator 3 n 1 4 53 cos tan 56 tan cos 54 csc tan 1 55 tan sin 1 58 sin cos 1 5 57 sec cos V 5

13 Match the correct answer Given WXYZ is a parallelogram XZL WY Prove WXYZ is a rhombus Statements 1 WXYZ is a parallelogram 2 XZLWY 3 2WPX and 4 LWPX and Reasons 1 Given 2 Given XPY are 90 s 3 Def of lines XPY are rt Zb 4 e 5 AWPX and AYPX are rt As 5 Def of rt As XP XP 0 e 7 XZ bisects WY 7 Diags of a bisect each other 8 Def of bisector WP PY 9 9 LL 10 WXXY 10 CPCTC 11 11 with one pair of consecutive sides thom AWPXAYPX b AWPX AYPZ c Reflexove Property of d Transitive Property of

Find the missing factor in the following expression 36 h 36 36 h 36

Solve the following equation for x Let X 3x 32x 90 3x 729 0 X

Write each expression in the form 2kx or 3kx for a suitable constant k 2x 17 3 27 a 2x a 1 b 3x c 16 x 2

Write each expression in the form 2kx or 3kx for a suitable constant k a 8x b 2 c

Write each expression in the form 2kx or 3kx for a suitable constant k a a 24x h 24x2 3x 2 3x 2

Write each expression in the form 2kx or 3kx for a suitable constant 3 3x 1 3 3 2x a 37x 33x 37x a 11 b 4 X 8 x 3 c

Solve the following equation for x 53x 56 x

Solve the following equation for x 5X 3 5 9 2 5 X

Find a number c such that the function f x 3 3x can be written in the form f x cx

olve the following equation for x 1 7 2x 1 1 7 5

Solve the following equation for x 10 6 x 100 x

The domain of a function is the set of all first coordinates the set of all values that x can assume The range is the set of all second coordinates all the values that y can assume 15 What is the domain of the function y sin x

Simplify 19 sin 1 3 2 23 tan 11 20 cos 2 24 tan 0 21 cos 1 22 cos 0 1 2 25 arccos 26 arccos 1

Simplify 19 sin 1 V3 2 23 tan 1