10/31/22

Find the exact global maximum and minimum values of the function g(x)=3x−x2−7 if its domain is all real numbers. global maximum at x= global minimum at x=
Calculus, please show steps, I need to understand how to work through this problem..
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10/31/22

Write an equation of a line that is parallel to 3x - y = 6 and passes through the point (3, 2).
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10/31/22

Argue whether or not g(x) could be factored completely by using only the factor theorem. Give examples to support your argument(s).
You are asked to factor a quintic polynomial g(x). Argue whether or not g(x) could be factored completely by using only the factor theorem. Give examples to support your argument(s). Make sure to... more
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10/31/22

Determine the solution to the double inequality...
Determine the solution to the double inequality .*NOTE*Grade 12 Advanced FunctionsPlease write clearly and neatly.Thanks
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10/31/22

Optimization Problems

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 6 cubic centimeters. Find the radius of the cylinder that produces the... more
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10/31/22

A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 66 inches (see figure).
Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)
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10/31/22

A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides.
Find the value of h that maximizes the volume of the box if A = 8 and B = 5.
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10/31/22

A poster of area 24,000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides.
Find the dimensions that maximize the printed area. (Let w be the width of the poster, and let h be the height.)
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10/31/22

A rectangle is bounded by the x-axis and the semicircle y = sqrt (49 − x2) . What length and width should the rectangle have so that its area is a maximum?
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10/31/22

Solve sin ( x ) − √ 3 cos ( x ) = − 1 . Give all the solutions in [ 0 , 2 π ) , then all solutions (use k as an arbitrary integer).
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10/31/22

The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 29200.

a) Find a function that models the population t years after 2000 (t = 0 for 2000)b) Use the function from part (a) to estimate the fox population In the year 2008 (answer must be an integer)
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10/31/22

Half Life for Radioactive Substance
The Half-Life of a radioactive strontium-90 is approximately 31 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into... more
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10/30/22

find an equation of the line that passes through (2,-1) and (4,1)
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10/30/22

Solve for x: Log(base 3)(X) + log(base 3)(x+4) = 8
There are two potential roots, A and B, where A = ?B = ?Is A actually a root? (yes or no)Is Bactually a root? (yes or no)
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10/30/22

The product is 768 and the sum of the first plus three times the second is a minimum.
Find two positive numbers that satisfy the given requirements.
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10/29/22

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in.
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 14 in. long and 5 in. wide... more
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10/29/22

If an open box is made from a tin sheet 11 in
If an open box is made from a tin sheet 11 in. square by cutting out identical squares from each corner and bending up the resulting flaps (see figure), determine the length of the side of the... more
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10/29/22

algebra question, different parts

The vertex is the point ___The equation of the line of symmetry is________   The vertical intercept is the point _________The horizontal intercept(s) is/are the point(s)  (separate multiple answers... more
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10/29/22

Find the Exponential function
...That passes through the points (1,162) and (3,18) in the form f(x)= A *B^x.
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10/29/22

2 Part Algebra question please help

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+337t+143. Assuming that the rocket will splash down into the ocean, at... more
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10/29/22

I need help with this algebra 1 question

What is the equation in standard form of the line that passes through the point (3,-9) and has a slope of 1/3
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10/29/22

Write the equation of a line that is parallel to {y=-7}y=−7y, equals, minus, 7 and that passes through the point {(7,5)}(7,5)left parenthesis, 7, comma, 5, right parenthesis.
I need to know the equation of a parallel line.
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10/28/22

a number m is no less than -1 or less than or equal to -5 and 1/3
a number m is no less than -1 or less than or equal to -5 and 1/3
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10/28/22

Help i'm stuck on a word problem
You make 75 birdhouses and sell them for B dollars each. The table to the right shows the predicted sales for different prices, B. You use the expression B(75−B) to show your income from sales for... more
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10/28/22

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 4 and a root of multiplicity 1at x = − 4 . The y -intercept is y = − 38.4 . Find a formula for P ( x ) .
The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=4x=4 and a root of multiplicity 11 at x=−4x=-4. The yy-intercept is y=−38.4y=-38.4.Find a formula for P(x)P(x).
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