
3. (a) If A R74, Col(A) contains 2 planes, and v R7 s.t. Ax = v is inconsistent then what is the nullityof A? (b) Could there be more than 1 right
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(a) Dene the span of a set of vectors. (b) Dene the basis for the span of a set of vectors of equal dimension. (c) Prove that the span of a set of...

Let W be a vector space in Rn with basis B of dimension q. Dene f on W such that f maps the vectors in W to the vectors representing their...

(a) Prove that E.s preserve solutions to linear systems of 2 equations. (b) Discuss how you would generalize your proof to linear systems with more...

An electronic product contains 40 integrated circuits. the probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. the product operates only if there

Now, letquot;s notice that we can use partial fractions on the series term to get, 1 1 1 1 = =  2 i + 3i + 2 ( i + 2 )( i + 1) i + 1 i + 2...

A. Is the integrand a rational expression (i.e is the integrand a polynomial divided by a polynomial)?

1 6 = x 2  2 x + 2 ln x   2 ln x  3 + c x 2 In the previous example there were actually two different ways of dealing with the x2 in the...

1)), i.e. is there a space whose homology is the Rost motive? 2. Is there an algebraic analogue of (4.4) and if yes, what is the algebraic analogue n...

Q is epi in the category of rings. (ii) Show that kernels are monic and are unique up to isomorphism. (iii) In Groups, show that monics are...
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lt; a lt; 0 and 0 lt; b lt; 0 + , then the dynamics of fa (x) are dierent from the dynamics of fb (x).

Rectangular treasure box with an area of 72 square centimeters 9 centimeters what's the length of the adjacent

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the given curves about the specified axis. y = x3, y = 8, x = 0; about x = 5
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find the equation of a line passing through point (5,4) and parallel to the line 4x+7y+5 = 0

Provide an example for the following: (5 Pts each/20 pts. Total) A statement: E statement: O statement: I statement: Tell me if the following are...

There are 80 coins in a piggy bank of which 20% are quarters. What is the least possible amount of money that could be in the piggy bank?

Consider a simple production function Q(K.L) = K L, where K and L stand for capital and labour respectively.

Alice's utility function is given by (U (x, y) = ln(x) + ln(y), where x and y denote the quantities of pomegranates and grapes Alice eats.
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You purchase an investment that promises to quadruple your money in 24 months. Interest will be compounded quarterly. If you purchase this

A new bridge is being constructed. The space between the support needs to be 1050 feet; the height at the center of the arch needs to be 350 feet.

Bank of Money advertises an interest rate (in decimal form) of 0.05. If your initial investment is $2000 and you want to accumulate $900?in interest, how many years do you need to invest ? I=Prt Witho
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Solve the initial value problem for y explicitly: x dy/dx + 2y = x^2 + 1, x = .
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A ship traveled at an average rate of 12 miles per hour going east. It then traveled at an average rate of 18 miles per hour heading south. If the ship traveled a total of 156 miles in 10 hours, how m

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size: x dy/dx + 2y =...

find the equation of the tangent line to the graph of y^2xy12=0 at the point (1, 4)
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A skateboard that sells for $65 is on sale for 15% off find the sale price

Denise is making turtles brownies. The recipe calls for 3/4 bag of caramel squares. One bag has 24 squares in it. How many caramel squares should Denise use to make one batch of turtle brownies?

Subtract 7x55x227x55x22 from 8x5+7x2+8x8x5+7x2+8x . Is there a specific way to set this problem up?
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When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the...

PLZ HELP!!! This right rectangular prism is filled with 1/3 foot unit cubes. What are the actual dimensions of the prism? How many unit cubes are in this prism? What is the total volume of the prism,

find the distance d(p1, p2) between the points p1 and p2.
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At a party there are 30 students over age 21 and 20 students under age 21.

Which formula can be used to convert rectangular coordinates ( x , y ) to polar coordinates ( r , ) ?
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You manage the chlorine division of your company. Your division sold 3 2/5 million gallons on Monday, 2 1/5 million gallons on Tuesday and 1 3/5 million gallons on Wednesday. How many gallons of chlor
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Find the first five nonzero terms in the solution of the given initial value problem y+xy+2y=0, y(0)=5, y(0)=7

Professor Friedman has lost Julie's nal exam but knows that her total before the exam was 250. He decides to predict her nalexam score from her...
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The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What
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Identify the random variable as discrete or continuous: the number of Sherlock Holmes episodes.

A lobster tank in a restaurant is 0.5 m long by 0.25 m wide by 40 cm deep.

Let's help Andrew make a career decision. He's a freshman in college and struggling to decide on a career path. The first three steps of the PACED decision–making process have been completed for you
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A scientist puts 100 grams of radioactive radium having a halflife of 1690 years into a concrete vault.

In horse racing, a trifecta is a race in which you must pick the first, second, and thirdplace winners in their proper order to win a payoff. If sixteensixteen horses are racing, and yo
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Which of the following expression is equal to tan^2

You would like to make a 6 lb party mix that is 60% Chex cereal and 40% pretzels. You have several boxes of Chex cereal and several pounds of another party mix that is 20% Chex cereal and 80% pretzels
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The ratio of green m&m’s to yellow is 2:5 if red m&m were added to the bag to get a total of 100, what is the ratio of green, to yellow to red

American General offers a 13 year annuity with a guaranteed rate of 6.11 % compounded annually.

We wish to determine if a certain diet is effective in helping weight loss. a random sample of 10 people is chosen to try the diet. there weights of before and after the diet are listed below. set up

Two sociologists have grant money to study school busing in a particular city. They wish to conduct an opinion survey using 652 telephone contacts...
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Having a hard time answering question 31 and 32 .
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A person is sitting on the ground between the Acme and Baker buildings. The person is 25 feet from the base of the Acme building.
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