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Let R be the set of all real numbers of the form a + b √3, where a and b are rational numbers. Show that every nonzero element of R has a multiplicative inverse and use the result of exercise 27 in Section 8.4 to conclude that R is a field.
Trevor's weekly allowance is calculated using a point system. For each chore he does, Trevor gets a point. For each chore he misses, he loses a point. Each point is worth $2, and negative points mean that Trevor owes money to his parents.
Suppose a particle is moving along the x-axis and its acceleration function is given by a(t)=(-1/(t-10)^2) for 0
car a is travelling north at 90 kmh and car b is travelling west at 80 kmh both approaching the intersection of their
margin at the top and bottom and a 2-in. margin at each side. What overall dimensions will minimize the amount of paper used?
use taylors expansion to arrange the function in ascending order.use taylor expansion to put the following four
Find the maximum depth using the given function - What is her depth after 4 sec? After 6 sec?
Find an equation of the line which passes through the point (1,2,3) and is parallel to the line . (x,y,z) = (1,1,1) +s(4,-1,3)
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
(a) Rom Girard's theorem for a triangle, deduce Girard's theorem for the comp, ment of the triangle. (b) From Girard's theorem for a small triangle, deduce Girard's theorem for a tri-angle with one long edge.
Use the branch of the logarithm given by 0
Find marginal revenue function. What is the marginal revenue at q = 2. Solution : The total revenue (R) is given by R = q (25 + 6q - q2 ) = 25q + 6 q2 - q3.
a building lot in a city is shaped as 30 degrees -60 degree -90 degrees triangle.the side opposite measures 41 feet. c. Find the sine, cosine, and tangent of the 30 degrees angle in the lot. Write your answers as decimals rounded to four decimal p..
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