Questions

You have placed some money into an account and it is modeled by this equation Based on the information in this equations how often was it compounded monthly daily semiannually none of these choices quarterly annually continuously

At 100 1 12 You have placed some money into an account and it is modeled by this equation Based on the information in this equations how much money was you initial deposit 100 120 346 78 12 125 1250 10 1200

1 Determine the number of solutions of the equation in the complex number system 52 2x 0 52 2x 0 has degree 4 so there are four solutions in the complex number system 52 2x 0 has degree 2 so there are two solutions in the complex number system 52 2x 0 has degree 0 so there are no solutions in the complex number system 52 2x 0 has degree 4 so there are no solutions in the complex number system 52 2x 0 has degree 1 so there are four solutions in the complex number system

2 Solve the equation Write complex solutions in standard form 13x 1 0 13 x 13 x 13 x 13 13 x 13 x 1

3 Solve the equation Write complex solutions in standard form 16 x 1 0 x 5 5 x 5 3 x 5 3 x 5 3 x 5 3

Choose either tsunamis or landslides both of which may result from volcanic eruptions or earthquake occurrence Describe the process in detail as it relates to both volcanoes and earthquakes and provide a detailed historical example

Choose one aspect of the city of Portland that is currently unprepared for a major seismic event and propose a detailed solution that could help mitigate the effects of that event

Describe 3 of the vital signals that geologists can monitor in order to forecast a volcanic eruption make sure to fully describe how these are measured and interpreted

Differentiate y In x 8 4x 9 4 x d In x 8 4x 9 4 x dx

Differentiate y In x 6 6 x 7 2 x 1 4 dx In x 6 6 x 7 2 x 1 4

Differentiate In e2x x 1 x 4x dx In e2x x 1 x 4x

Simplify the following expression Write as a single logarithm or monomial 9 Iny 13 Inz 9 Inx

Solve the equation for x Inx Inx In 7 0 X Simplify your answer

Use logarithmic differentiation to differentiate the following function f x x 8 3x 2 4

Use the reference angle to find all six trigonometric functions of the angle t Hint Enter the exact answer Type sqrt 5 for 5 3 sint sqrt 2 2 cost type your answer tant type your answer csct type your answer type your answer cott type your answer

Use properties of logarithms with the given approximations to evaluate the given expressions Use In 3 1 1 and In 5 1 61 a In 9 b In 15 c In 75 a In 9

Simplify the following expression Write as a single logarithm or monomia 1 2 In 64

Simplify the following expression Write as a single logarithm or monomial Inx 8 Iny In eln x3 8 Iny

Use properties of logarithms with the given approximations to evaluate the given expressions Use In 3 1 1 and In 5 1 61 1 a In 5 15 a In 15 b In 50 c In 4 9

Solve the given equation for x Inx 2 Inx 1 X Type an exact answer

Which of the following is the same as 2 In 9x a In 81x2 c In 18x b 18 In x d In 18 In List all expressions that are equivalent Type a b c or d Use a comma to separate answers as needed

Solve the triangle Approximate values to the nearest tenth when appropriate 15 B 63 5 a 12 2 c 7 8 Write the polar equation in terms of x and y

Question Determine whether the following geometric series converges or diverges and if it converges find its sum 8 2 7 32 128 49 343 If the series converges enter its sum If it does not converge enter

X 12 Use common or natural logarithms to solve the exponential equation symbolically C

n Newton s equation for universal gravitation is the force of gravity directly or inversely proportional to the square of the distance between the two masses

Find a formula for a function that has vertical asymptotes x 2 and x 6 and horizontal asymptote y 2 f x

What interest rate compounded semiannually is equivalent to an effective interest rate of 4 31 Round to three decimal places

Solve 8 sin sin 2 7 for the four smallest positive solutions x

A particular residual y i is computed to be 5 In this case the predicted value is clearly an underestimation of the actual value an overestimation of the actual value

df In terms of x Suppose that flu v u cos v and 4 x y x y v x y xy df Use the chain rule to find off and only df 2 xcos xy y x y sin xy da df 2 ycos xy x x y sin xy

Find all first second devivatives of the function f x y In x 3y fx x 3 fy x 3y fxx x 3y 64 fxy x 3y fyy 6 x 3y 3 342 2

No calculator Which of the ordered pairs below represents a solution to the system of equations shown elow 1 6 2 8 3 10 4 12 y 2x 4 3x 2y 22 3x 2 2x 4 22 3x 4x 8 22 7x 8 22 7x 14

and x sin t y 54 3 dz Use chain rule to find at in terms of t only 4 cos 4 90t 5 3

Determine whether a series converges or diverges using the sequence of partial sums Question Using partial sums find the behavior of Select the correct answer below The series converges to 0 The series converges to The series converges to M8 n 1 3 6n2 6n

sin 1 60 8 61 and 6 tan 9 40 1 Find the exact value of Cos 28 Express your answer as a fraction in lowest terms

Find the equation of the tangent plane to a surface point 5 1 4 xz z 2 x 2 2xy y 2

Question What is n 1 8 2 if 1 3 If 1 and n 1 2n n 1 1 6 Provide your answer below

Use the Squeeze Theorem to find the limit of a sequence Question Find the limit as n of the following sequence 3 tan n n an n

5x 6 line a Li are paralle 8x 7 16x 8 Find x

Some donkeys are yellow Therefore some bats are donkeys Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid VALID INVALID bats donkeys bats donkeys INVALID yellow VALID yellow a bats donkeys bats donkeys yellow yellow

Given the three simple statements p The bird is orange q The dog is red r The pig is tan Write the symbolic form for the following compound statement The bird is orange if and only if the pig is not tan or the dog is red O p r 9 O p r q Op r Vq O p r q O p r q Op rva Oq pV r O p r q O p r g O p r 9 None of these

Select the negation of All lions are blue or no cats are brown O Some lions are not blue or all cats are brown O All lions are not blue or some cats are brown O Some lions are not blue or some cats are brown O No lions are blue and all cats are brown No lions are blue or all cats are brown O Some lions are not blue and some cats are brown O All lions are not blue and some cats are brown O Some lions are not blue and all cats are brown O None of these

Next Which of the following is the negation of the given statement O Some horses are cuddly O All horses are cuddly O Some horses are not cuddly O No horses are cuddly No horses are cuddly

Select the negation of If some pigs are not yellow then no cows are red O All pigs are yellow or no cows are red O Some pigs are not yellow or some cows are red OIf some pigs are yellow then some cows are red OIf some pigs are yellow then all cows are red OIf some cows are red then all pigs are yellow O Some pigs are not yellow and some cows are red OIf all pigs are yellow then some cows are red O If no cows are red then some pigs are not yellow None of these

Select the contrapositive of If the dog is blue then the cat is pink O If the dog is blue then the cat is not pink O The dog is blue or the cat is not pink O The dog is not blue and the cat is pink O The dog is blue and the cat is not pink O If the cat is pink then the dog is blue OIf the dog is not blue then the cat is not pink O The dog is not blue if and only if the cat is not pink O If the cat is not pink then the dog is not blue O The dog is not blue or the cat is pink O The dog is not blue or the cat is not pink O None of these

Therefore all whales are hairy Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid INVALID hairy tan INVALID tan whales hairy whales VALID hairy O tan whales O VALID hairy whales tan

Suppose we have the following argument All horses are blue Shane is a horse Therefore Shane is blue Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid VALID blue horses Shane VALID horses blue Shane INVALID horses blue Shane a INVALID blue horses a Shane a

1 Consider the linear transformation T R3 R3 given by 21 22 2x3 T 3x2 6x3 3x12x2 4x3 a Find a basis for the subspace that consists of all ER such that T 0 Is T injective b Find a basis for the image of T Is T surjective

Select the converse of If the dog is blue then the cat is pink O If the dog is not blue then the cat is not pink OIf the cat is pink then the dog is blue O The dog is blue and the cat is not pink O The dog is not blue if and only if the cat is not pink O The dog is not blue or the cat is not pink O If the dog is blue then the cat is not pink O The dog is blue or the cat is not pink If the cat is not pink then the dog is blue O The dog is not blue or the cat is pink O The dog is not blue and the cat is pink O None of these

Select the two statements that are equivalent to the following statement If the snake is blue then the whale is tan If the whale is not tan then the snake is not blue The snake is blue or the whale is not tan If the whale is not tan then the snake is blue The snake is blue if and only if the whale is tan The snake is blue and the whale is not tan The snake is not blue and the whale is tan If the snake is not blue then the whale is not tan The snake is not blue or the whale is tan If the snake is blue then the whale is not tan None of these