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Problem 1
Evaluate where C is the arc of the parabola y2 = 4x with initial point (1,-2) and terminal point (1,2).
Problem 2
Integrate in a counter-clockwise sense around the unit circle centered at (a) i, (b) -i, (c) 1, (d) -1.
Problem 3
Evaluate when C is a simple closed curve around -i.
Use the euclidean algorithm to find the greatest common divisor of 981 and 1234.
A group of people share in a $5,000,000 lottery. Before the money is divided, 3 more winning ticket holders are declared. As a result, each person's share is reduced by $375,000. Write and solve an equation to determine how much $ each winner rece..
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
How many functions are there from a k-element set K to a set N = {y1, y2, . . . yn} so that each yi is the image of ji elements of K?)
a small purse is full of coins. if you count them by twos, threes, or fives, there is one left. if you count them by sevens there will be none left. how many coins are in the purse?
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
Convert the nonlinear, second order differential equation to the first order system and solve the differential equation
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
The instructions are as follows: write each equation in slope-intercept form and then find the slope and y-intercept.
The sales representative here tells you they also have two floor plans available, but they only have 42 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
Find the mass of the lamina and the coordinates of the centre of mass.
What is the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen?
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