answersLogoWhite

0

🎒

Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

What is sin x 2?

The answer will depend on x, and whether x is measured in degrees or radians.

Will putting a 350 transmission on a 305 motor give it any added power?

Are you stupid, or just acting like you are???? Carefull, you might get stuck in the stupid mode...

What is 9 plus -3 minus 3 equal?

the answer to that question would be 2 because -3 + 9 would be 5 - 3 and would be 2.

What is 2x-13 equals 5 This is an equation please help?

If

2x - 13 = 5

then

2x = 5 + 13 (we have in effect added 13 to both sides of the equation in this step)

2x = 18

x = 9.

The locus of points equidistant from the lines y equals -2 and y equals 8?

The locus of points between 2 lines will always be another line that is halfway between the original 2 lines. In this case, that will be a line halfway between y=-2 and y=8, and since 3 is halfway between -2 and 8, the locus will be the line y=3.

Is f continuous on the interval a b if f prime is continuous on the interval a b why or why not?

Yes. You can make sense of this by referring to the definition of a derivative:

f'(x) = lim h goes to 0 of (f(x+h)-(fx))/h

As long as f(x+h) (as h goes to 0), and f(x) are defined so is f'(x). In fact, the only way f' is defined is if f(x) is defined.

Does every function have an inverse that is a function?

No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.

How do you graph equation x equals 100?

its a straightline. All points y where x is equal to 100. So its a vertical line covering the whole real line in the Y plane through x = 100

What is the answer of 1 divide by x square?

What do you mean?

As this is a calculus question, I presume that you are asking for a derivative or integral

The derivative of any function of the form

ƒ(x) = a * x ^ n

is

ƒ'(x) = a * n * x ^ (n-1)

The integral of any function of the form

∫ a*x ^ n

is

a / (n+1) * x ^ (n+1) + C

Your function that you gave is 1 / x^(2)

which is equal to:

x^(-2)

Thus the derivative is:

-2 * x^(-3)

And the integral is:

-x^(-1) + C

How do you solve 3x - 4 equals?

You don't, unless you know either the value of x or what the expression equals.

What is the integral of 2?

The integral of 2 is "who gives a $%&#." You need to know what 2 is relating to and what the 2 means. If the question is "What is the integral of 2 dx" the answer would be "2x + c," with c being a constant.

If you instead wish to know what the integral of 2 dy, the answer is very different. (2y +c)

What is the square root of 10?

It is approximately ± 3.162278 as it is an irrational number.
approximately 3.162

What do you understand by the term curriculum?

Classes and subjects that are required to satisfy a given course of study for a degree or diploma.

What is the slope of y equals one half x plus 2?

You will never succeed in life if you can't solve problems yourself!

Can the concavity of a curve be determined by differentiation?

Yes, the concavity of a curve can be determined by differentiation. To find out the concavity of a graph at various points, you want to analyze the second derivative (f''(x)). Take the derivative of your original equation, then, take the derivative of this equation. By setting this second derivative to zero, you can solve for the critical points (x-intercepts/asymptotes) of the second derivative graph. Once these critical points are found, make a number line with these points marked. By doing a sign test on either sides of the critical points (plug in numbers below and above the critical points into the second derivative equation), you can find the concavities of your original graph. Wherever the sign tests results in a positive number, that is where a upward facing curve is (concave up); where it is negative, that is where a concave down portion is.

How does y equals 0.5x plus 1 look on a graph?

It looks like a straight line, that crosses the y-axis at y=1,

and slopes up from left to right with a slope of 1/2 .

How do you work out 5x plus 3 divided by x plus 6 equals 2?

If you mean: (5x+3)/(x+6) = 2 then the value of x is 3 because:

Multiplying both sides by x+6:-

5x+3 = 2x+12 => 3x = 9

Therefore: x = 3

What is the max or min Fx equals -2x plus 10x plus 6?

I'm going to assume you mean F(x) = -2x2 + 10x + 6 as -2x plus 10x = 8x...

First differentiate -2x2 + 10x + 6:

dy/dx = -4x + 10

Set dy/dx = 0:

-4x + 10 = 0

Find x:

10 = 4x

2.5 = x

Find y at x =2.5:

y = -2(2.5)2 + 10(2.5) + 6 = -12.5 + 25 +6 = 18.5

So max or min is at (2.5, 18.5)

To find out whether it is max or min differentiate twice:

d2y/dx2 = -4

If its negative, point will be a maximum

If its positive, point will be a minimum.

In this case, a maximum occurs at (2.5, 18.5).

How do you solve 2sin2x equals 1?

The first thing to do is remove the coefficients of the side with the variable. This is done here by dividing by two, to give sin(2x) = 0.5. The next step is to remove the sine function; take the inverse sine of each side to give 2x = 30o (for degrees) or 2x = 0.5236 (for radians; equal to pi/6). Finally, remove the coefficient of x by dividing by 2 again. This gives 15o or 0.2618 (equal to pi/12). These are only the trivial solutions; all others can be found using predetermined formula.