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The farmer with 1740 meters of fencing wishes to enclose the rectangular plot which borders on the straight highway. If farmer doesn't fence side along highway, find largest area which can be enclos
The geographic and magnetic north poles have various locations. If this movement carries on, about how many years it will take for magnetic north pole to drift the total of 5°?
Car moves with the constant velocity of 25 km/h due north for first 15 km and 62 km/h due north for next 32 km. With what constant velocity (magnitude and direction) does car travel for last 13-km s
When the camera flash goes off, batteries immediately start to recharge flash's capacitor, that stores electric charge provided by the following.
Let f(x) denote Jack's weekly income and consider g(x) dente Jill's weekly income form selling suits. Determine rules of functions f &g.
Determine the inverse of function below. Graph function below and inverse function. Find domain, range, and asymptotes of function below and inverse function. Illustrate both graphs.
Determine the x- and y-intercepts. Find end behavior: determine the power function that graph of f resembles for large values of |x|.
Determine (a) equation of the line that is parallel to given line and includes given point, and (b) equation of the line which is perpendicular to given line through given point.
There are 2 consecutive integers such that sum of one-half of smaller integer and 5 times larger integer is equal to product of 7 and 1 less than smaller integer. Determine the integers.
There are 36 students taking either calculus or physics or both, and ten students are taking both calculus and physics. If there are 31 students in calculus class, how many students are there in ph
The price increases 4% due to inflation and is then reduced 20% for the sale. State final price as the function of original price, P.
Determine the formula for weekly profit, as the function of number of patrons. Find break-even point (number of patrons for which there is zero profit)?
If Ben invests $4000 at 4% interest per year, how much extra money should he invest at 5 1/2 % annual interest to make sure that interest he receives every year is 4 1/2 % of total amount invested?
Eastbound boat travels at the speed 2 mi/h faster than southbound boat. After seven hours boats are x = 70 mi apart. Compute speed of southbound boat.
Surveyor then estimates angle to the top of radio tower on building and discovers that it is 48 degreed. How tall is radio tower?
The car is traveling at 26 mph. If its tires have the diameter of 25 inches, how fast are cars tires turning. State answer in revolutions per minute.
Let the line segment joining A(-1,2) and B(3,4). Determine the equation which expresses fact that the point P(x,y) is equidistant from A and from B.
Find total surface area of the pancake which is 16 cm in diameter and 8.0 mm thick? Determine volume of pancake in cubic centimeters.
The man is walking away from the street lamp which is 6 m above ground. Man is 2 m tall. Find length of man's shadow when he is 10 m away from lamp?
Find x- and y-intercepts of graph. Write them as points. Find the domain and vertical asymptotes, if any, of the function.
Utilize remainder theorem to determine remainder when f(x) is divided by. Then utilize factor theorem to find whether is factor of f(x). f(x) = x^5 - 3x^4 + 5x^2 -21x +18.
Determine maximum number of real zeros. Utilize Descartes's rule of signs to find how many positive and how many negative zeros function has.
Write R in lowest term P(x)/q(x) and determine real zeros of a numerator. Then find behavior on graph of R. Plot every x-intercept and indicate behavior on graph.
The line passes through points (1, 2) and (4, 1). Determine area of triangle bounded by the line and coordinate axis.
Every acre of corn needs 2 hrs of labor, while each acre of oats needs 1hr of labor. How must land be divided between corn and oats to yield maximum profit?