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Find the average height of the "ceiling" in the figure defined by z = y2 sin x for 0 ≤ x ≤ π, 0 ≤ y ≤ 7.
A report states that 46% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 3% with 96% confidence?
total interest from investments was $3060. the interest from the first investment was 2 times the interest from the second. find the amounts of the three part investment.
Each of the two win that won the least?
Find all points of intersection of the curves (r^2)=4sin(2x) and (r^2)=4cos(2x). Give your answers as ordered pairs in cartesian coordinates, in order of increasing radius and increasing angle.
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted.
Select a quadratic equation and solve it using the "completing the square" method. Show your work in full details.Use this quadratic equation for your example: x^2-18x-4=0
A rectangular piece of metal is 10 cm longer than it is wide. Squares with sides 2 cm long are cut from the four corners of the piece of metal, and the flaps are folded upward to form an open box. If the volume of the box is 832 cm3, what were the..
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
Again using interval notation, how would I go about finding the image set of the graph g(x)= Ix+3I -2 ? And how then would I go on to solve the equation g(x)=1, and discover if it had any geometrical significance?
prove if two lines have a transversal which forms corresponding angles that are congruent then the two lines are
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