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Answers by Imtiazur S.

Sara, Due to lack of complete information, I need to make several guesses in order to answer this question.   Let's suppose the right triangle contains points A, B, C with BC being the horizontal base and C is to the right of B and AC is the hypotenuse of the right triangle.  ∠BCA=θ...

The left end point of the interval is not given in the problem.  The right end point is x=1.   Assuming the left end point is 0.   The formula for the volume of revolution of a function between the curve and the x axis about the x axis is V=π∫f(x)2 dx.     f(x)=4x2...

It appears to me that this is a problem on the mean value theorem.  The theorem stipulates that there is point in the OPEN interval where the slope is equal to the average rate of change over the CLOSED interval [a,b].  The average rate of change is f(a)-f(b)/(a-b).  If f(a)=f(b)...

H(x)=4x^4+2x-5 (answer)

It's a fourth degree polynomial.  I can't think of anything more specific that could be said about this polynomial.

Rounding off and approximation are very nearly the same thing.  Rounding off usually means displaying a number in a lower precision (usually to a specified precision in the number of digits after the decimal) than is its real value.  For instance the value of π (pi), which is an irrational...

How to Prove (answer)

Use sin(2x)=sin(6x-4x) and sin(10x)=sin(6x+4x) and simplify to arrive at the expression on the left.  Very simple.

Quarter 1 POW #5 (answer)

This is an interesting problem, just needs a little imagination to solve it.  The basic logic is this: Whey they are going in opposite directions, they meet again when they both TOGETHER cover the whole lap.  When they are going in the same direction they meet the second time (and every...

Adding to Andre's answer:   The polynomial x2 -5x +15 is a quadratic and represents a parabola that opens upward and vertex at (2.5, 8.75).  This parabola does cross the x axis, so at no point is y < 0

2x^2+23x+11 (answer)

Problems such as this (factoring quadratic expressions) can be easily solved by a technique called grouping.  First factor out any common constant factors out.  In the given problem there are no common constant factors, so we proceed to next step.     The coefficient...

The general linear equation is of the form y = mx + b We are required to form a linear equation for the elevation of the elevator from the ground in terms of time.  If we call y as the height and x as the time, then applying the general linear model y = mx + b, the question reduces...

The best way to find inverse of an equation is by interchanging the independent variable (which in this case is t) and y.     The given function is y=√(3t)+2   The inverse function can be obtained by interchanging (switching) t and y   t=√(3y)+2   subtract...

Logarithm of a number raised to a power can be expressed as the power * logarithm of the number   Expressed Algebraically, log(xa) = a * log(x)   ln is natural logarithm which is a logarithm to base e (natural number)   The given expression ln(√a) can...