Questions

Solve by the quadratic formula List the solutions separated by commas 10x 18x 8 0 x

Write the equation in logarithmic form Assume that all constants are positive and not equal to 98 b

using it all for this essay Maybe you could use it to describe some of the basic parts of your discussion but that will probably be more time that it s worth Sources Remember to cite any sources you used with in text citations that reference your personal Works Cited page For an AI list the AI then the date e g ChatGPT 2024 Ichthyostega Ichthyostega

Simplify 12 j j 3

Evaluate without a calculator

Simplify 64a6 402

Subtract the rational expressions by typing your response in the box provide x 1 x 7 82 6 x 7

Add the rational expression by dragging the integers to their corresponding box to complete the statement POSSIBLE POINTS x 1 x2 3x 4 x 7 x2 3x 4 FILJ 2 x 2 x x x x x

Previous Are the two matrices inverses answer will be yes or no 42 A 3 1 1 5 B 4 2

17 Determine the A matrix one would use to represent the following system of equations 2y 4s 2 3 12 1 3 0 2

Find the partial derivative of the dependent variable with respect to each of the independent variables Z e x 2 x y 2 z A J dx 2 e x x y 2x az 2ye X 2 x y 2 ay x y 2 2 ye X dz B dx e x x y x az x y 2 2 ay x y 2 af 2 ye X 2 ay dy x y 2 az ex x y 2x C ax 2 J 2 x y 2xe X z D x x y 2 2 dy x y 2ye X 2

14 Find the values of the variables 12 21 2 12 14 3 7 k 6 w 4 1 7 k 6 15 1 7 k 6 w 15 7 k 6 10 36

13 Select the answer to the problem below 3 5 3 2 3 3 12 15 8 1 3 3 16 B 17 12 D 8 10 Impossible 2 5 1 16 4

6 Use the fact that einx is an orthogonal basis for L T to deduce that cos nx 0 sin nx 1 is an orthogonal basis for L and cos nx and sin nx 1 are or thogonal basis for L 0 n 0 Hint For the latter part consider the even or odd extension of f L 0 to

15 points Let D be the three dimensional solid enclosed by z2 x y z 3 and satisfying z 0 Suppose it is made out of a material whose density is given by 8 x y z z where 0 is a constant a Find the center of mass of the solid D b What happens to the center of mass as or as 0

2 Determine the number of solutions of the equation in the complex number system 8x3 9x 10 0 8x 9x 10 0 has degree 9 so there are three solutions in the complex number system 8x3 9x 10 0 has degree 8 so there are no solutions in the complex number system 8x3 9x 10 0 has degree 8 so there are three solutions in the complex number system 8x3 9x 10 0 has degree 9 so there are no solutions in the complex number system 8x 9x 10 0 has degree 3 so there are three solutions in the complex number system 3 Solve the equation Write complex solutions in standard form x 3 0

A guy wire is a cable used to restrain objects from moving They are used to support towers or poles A guy wire is attached to a cell tower The 50 foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 35 The guy wire is replaced by a guy wire 120 feet long The point at which the new guy wire attaches to the tower is the same as it was with the original wire What is the approximate measure of the angle formed by this new guy wire and the ground

Find the value of each variable x and y 32 I 300 y

Match either the insect or characteristic to the type of metamorphosis Hexapods may undergo Egg several instars adult Cicadas Butterfly Wings develop externally and increase in size animal grows by successive molts Egg larva pupa adult Egg juvenile adult Transitional stage where organisms are usually inactive and nonfeeding Springtails 1 Ametabolous 2 Hemimetabolous 3 Holometabolous

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