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Find out the difference quotient (e.g average rate of change over the input interval of length h) for provided functions. Ensure to simplify the answer. - f(x)=6x^2+7x-11.
State the function which express bubble's volume (in cubic centimeter) as the function of number of seconds since ball start to inflate.
Forces with magnitudes of 125 newtons and 300 newtons act on the hook. Angle between two forces is 45 degrees. Determine direction and magnitude of the forces.
If dimensions of rectangle are 10 inches by 20 inches and size of squares removed is x, write the equation for volume of box in terms of variable x.
If the second person were to meet with up with first person what bearing must second person take to meet with first directly.
Later, two students were asked to determine the parabola passing through same two points, and again students got two different parabolas for answers. Could both students be right?
Utilize location theorem to illustrate that there is at least one real zero in interval [1,3]. Does P(x) have at least one zero in interval [1,2] or in interval [2,3]?
The pilot flying from kingsport to chattanooga flies 22 degrees off course for 40 miles before finding his error. If direct air distance b/t two cities is 210 miles, how far is pilot from chattanoo
Factories A and B are 9 km apart with factory B emitting 8 times pollutants into air as much as A inversley proportional square distance of a factory.
if y=9x^2+8 from vertically stretching graph of y=x^2 by the factor of 9, followed by the vertical upward shift of 8 units, write the equation if order of transformations (stretching and shifting)
Determine the point of intersection between line you have graphed and line y=1+αx ; answer will be the point in the xy plane whose coordinates involve unknown α .
Compute 60% of that result and add it to the resting heart rate. If target heart rate for the 30-year-old person is 144, then determine person's resting heart rate?
How many ounces of the 30% alcohol solution should be mixed with 40 ounces of the 80% alcohol solution to get 70% alcohol solution?
Angle of elevation from the observer to bottom edge of Delaware River drawbridge obervation deck situated 200 ft from observer is 30 degrees.
The farmer with 4000 meters of fencing wishes to enclose the rectangular plot that borders the river. If farmer, doesn't fence along river, compute largest area which can be enclosed?
For the small manufacturing, unit cost C(x) in dollars of producing x units per day is provided by C(x) = x2- 120x + 4000. How many items must be produced per day to minimize unit cost, and find the m
When Jim works in ticket booth, he can gather $50 in 30 minutes. When Jim and Tony work together, they can gather $50 in 10 min. How long it take Tony alone to gather $50?
When hawk is at the height of 60 meters, snake sees hawk, that is diving at 30 meters/second. Approximately how much time does snake have to escape?
Write and graph the piecewise-defined function which provides depth of snow during snowstorm. How many inches of snow accumulated from storm?
Assume f(x) = -1/4(x-2)^2 (x-5)^5 (x-3)^3 and g(x)= x 4. Determine y=k(x)=f[g(x)]. Determine leading term of k(x) and state the end behavior.
The ant is traveling around the circle with the radius of 30 meters. If in 10 seconds the central angle of 1/6 radian is swept out, determine the speed of the ant? Illustrate work.
Create the mathematical model for each plan which provides total monthly cost in terms of total number of minutes of calls placed in a month.
S.S. Sprockets company produces sprockets which cost company dollars each to build, and company's other expenses total dollars.
The ball is thrown straight upward at the initial speed of v0 = 40 ft/s. When it reaches the height of 56 ft? Find the greatest height reached by ball?
Write the formula for the linear function which models situation described where x is number of years after 1900. Determine the domain of function?