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Question: Let f(x) = x^2 + x + 12. What is the value of f(x) for which the tangent line to the graph of y = f(x) is parallel to the x -axis?
The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. The speed of the Holiday in still water is 15 km/h, what is the speed of the current.
a 30 centimeter wrench is attached to a nut. the coordinate system you have picked is such that the wrench lies on the
Larry has an annual return of $213 from $3000 invested at simple interest, some at 5% and the rest at 8%. How much is invested at each rate?
Find the unique factorisation and determine which of the original statement or the negation is true - Prove the Giftbox Theorem using the method of contradiction
find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
a dealer offers a computer software program whose list price is 500 at a 19% discount. she will give an extra 3% discount if paid in cash. what is the selling price if payment is made in cash?
There is no doubt the image of the franchise will draw additional customers and its management may even help cut some of your other expenses. However, as these numbers point out, joining a franchise channel is not always a surefire guarantee of su..
Of 680 college students surveyed, 540 reported that they held a part-time job. What is the probability of selecting a student with a part-time job from this group?
The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression ..
If you have 260 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
find the height of the object after 3 seconds after it is thrown upward. and find the maximum height of the object and the time it takes the object to reach this height.
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
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