Mark M.

System Of Equations

12/02/16

Flying with the wind, a pilot flew 600 mi in 4 hours.

The return trip against the wind took 5 hours. Find the rate of the plane in calm air and the rate of the wind.

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Calculus

12/02/16

IVT/Rolles theorem...proving a root exists

Hi, I just need to know if my explanation is ok. I think the question might be on my test tomorow. It asks to prove that f(x)= x^3+3x^2+6x has one real root. My... more

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Cal

12/02/16

Absolute min and max

f(x)= 2sqrt(3+x^2) -x [ 0,2]

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Math

12/01/16

How to find values of a function based off of it's definite integral (am I thinking about this wrong, or do I just plug in the number?)

F(x)= ∫0 to x sin(2t) dt evaluate F(pi) For this one I thought I would just plug in sin(2pi) but I got that wrong. It asks for an exact number so I thought I shouldn't give the decimal answer.... more

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Geometric Sequences

12/01/16

geometric sequence

1/4+2/4+22/4+23/4+...+2n-1/4

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Solving Inequalities

11/30/16

if |x+1| is less than or equal to 2, then a less than or equal to 2x-8 less than or equal to b.Find a and b

if |x+1| ≤ 2, then a ≤ 2x-8 ≤ b.Find a and b

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Word Problem Ratio

11/30/16

Word Problem

Mr. Powell can mow his lawn twice as fast as his son Rick can. Together they di the job in 20 minutes. How many minutes would it take Mr. Powell to do the job alone?

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Ratio And Proportions

11/29/16

Volume and ratios

Danny poured 78 liters of water into containers x,y, and z.The ratio of the volume of water in container x to the volume in container y is 5;2. The ratio of the volume of water in container y to... more

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Calculus

11/29/16

Find the area of the region between he x-axis and graph of f(x) over the indicated interval.

(a) f(x) = x2 - 2x from x = -1 and x = 2 (b) f(x) = 1/x - 1/e from x = 1 and x = e2

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Linear Equations

11/29/16

A rower travels upstream at 6km/h and back to the starting place at 10km/h. The total journey takes 48 minutes. How far upstream did the rower go?

we have to construct an equation for the problem and then solve it

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Algebra 2

11/28/16

Simplify 6 x root 12 x root 6 x root 2

simplify 6 times root 12 times root 6 times root 2. Please help.

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Functions Inverse Functions

11/28/16

Inverse Functions

Please help, show work, and explain in detail h(x)=-3

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College Algebra College Algebra Word Problem

11/28/16

Maximizing area: rectangular fence

A farmer wants to fence a rectangular area by using the wall of a barn as one side of the rectangle and then enclosing the other three sides with 160 feet of fence. Find the dimensions of the... more

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Trigonometric Functions

11/28/16

Trigonometric Function 13.

Find the solutions of the equation: sin(2x)=1/2 in the interval [0,2pi). Show details in answer please.

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Rational Root Theorem And Factoring

11/27/16

when a polynomial P(x) is divided by (2x-1) the quotient is x^2-2x-1 and the remainder is -4. Find P(x).

rational root theorem and factoring

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Rational Theorem And Factoring

11/27/16

find the values of a and b if ax^3+bx^2+3x-4 has a remainder of -2 when divided by (x-1) and a remainder of 2 when divided by (x-2)

Rational root theorem and factoring.

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Other

11/27/16

limx->0 (sin3x.sin5x)/(x^2.cos2x)

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Precalculus

11/26/16

Find to the nearest tenth of a year how long it will take to DOUBLE an investment when it is invested at 5.5% compounded continuously.

P=Aert For interest compounded continuously, the total amount P is given by P=Aert where A is the initial amount invested, r is the yearly rate and t is the time in years.Find to the nearest... more

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Precalculus

11/26/16

If it took 12 years for a certain city to increase in size from 125,500 to 153,200, what was its rate of growth n?

P=Aent Write answer in % form A population of a city grows according to P=Aent. If it took 12 years for a certain city to increase in size from 125,500 to 153,200, what was its rate of... more

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Trigonometric Functions

11/26/16