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Please, solve this problem correctly and explain with details. Also, while explaining, please graph a function.
Find the slope of y = x^3 at point P = (2; 8) and an equation of the tangent line at P to this curve.
The air in a room with volume 180 m3 contains 0.45% carbon dioxide initially. Find the percentage of carbon dioxide in the room as a function of time t
A Norman window has the shape of a rectangle capped by a semicircle. What is the length of the base of a Norman window of maximum area if the perimeter of the window equals 10?
Each input is a triple consisting of a number, the direction of the turn, and the number of times the lock is turned in that direction.
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
What do you think is a good size for a team? What do you think is best in school and also in the workplace - a large team or a small one? If there are many members on a team, does that make some feel that they can slack off more,
What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/54 - x = 1/2
In what month does more of the payment go towards principal than to interest? 2. In what month is the loan half-paid? 3. If an extra $1000 is added to the final payment each year, how long does it take to pay off the loan?
question four gallons of paint are used to paint 25 chairs. if each chair used the same amount of paint how many
When we need to find eigenvalues and eigenvectors in algebra, we start by finding the characteristic polynomial of a matrix. In this problem, we will find the characteristic polynomial of a matrix, A.
The market interest rate is 5.0% and the short rebate rate is 3.0%. What is your additional gain or loss due to leasing the asset?A. $96.00 gain
A fair coin is flipped seven times. What is the probability that heads occurs exactly 6 times if it is known that heads occurs at least four times?
Draw the resultant vector and use trigonometry to find the magnitude and direction of the resultant force with respect to the x-axis.
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