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Answers by Imtiazur S.

The formula in optics relating a lens's focal length f to the object distance u and image distance v is as follows:   1/f = 1/u + 1/v  --Equation 1   The image size to object size ratio should be 4 inches to 1 mile or 1:15840   By the property of similar...

The zeros are obtained by equating the polynomial to 0.  Zeros of a polynomial are the values of the variable in the polynomial (the values of x in this present case) for which the value of the polynomial returns 0.     So we have -(x-3)2(x+1)3(x-7)=0   For...

Slope intercept form of a line is of the form y=mx+b where m is the slope of the line and b the y intercept The problem doesn't specify the initial points.  Let's take points (-4,4) and (6,3).  The slope of a line joining these points is (3-4)/(6+4)=-1/10   We...

Take logarithms on both sides and compare them.     Log10(1993)=93 x Log10(19) which is approximately 274 Log10(1399)=99 x Log10(13) which is approximately 253   if Log(a)>Log(b) then a>b

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.