Calculus

5y + x = 0

subtract 5y from each side, then x = -5y

what is frueds rule

geometry, Algebra , trigonometry calculus, physics

Basically, the same way you solve any inequality. However, it may be simpler if you multiply both sides of the inequality by the fraction's denominator first; that way, you will only have integers, and don't need to deal with fractions later on. If you have several fractions, you might multiply both sides of the fraction by the least common denominator.

no , since there is a function which lsc but not usc.

"Parallel to the x-axis" is the same as saying "a slope of zero".

In calculus, you take the derivative of f and make it equal to zero. Then solve the equation.

Taking a simple case, consider the equation f(x) = 2x2 -5x -4

To find all the places that the graph is parallel to the x-axis, take the derivative

4x - 5

and make that equal zero

4x - 5 = 0

Then solve for x. The only point where is graph is parallel to the x axis is where x=5/4. Put that back in the original equation and get the y coordinate for that point.

This class of problems makes you use a great variety of skills. All of your first year calculus will depend on your ability to thoroughly understand this and similar processes.

2x + 24 = 9x - 39

= 2x + 63 = 9x


= 63 = 7x


= x = 9

The width of an index finger depends on the size of the person. For instance, an average size person will have an index finger that is roughly one half inch wide.

x2 + 4x + y2 - 6y = 3

You need to be more clear about your question:

Are you trying to find the properties of the curve it defines?

x2 + 4x + y2 - 6y = 3

∴ x2 + 4x + 4 + y2 - 6y + 9 = 16

∴ (x + 2)2 + (y - 3)2 = 42

∴ This describes a circle with a radius of 4, and a center point of (-2, 3)

Did you want to solve for y?

(x + 2)2 + (y - 3)2 = 42

∴ (y - 3)2 = 16 - (x + 2)2

∴ y - 3 = ± [16 - (x + 2)2]1/2

∴ y = 3 ± [16 - (x + 2)2]1/2

Did you want to solve for x?

(x + 2)2 + (y - 3)2 = 42

∴ (x + 2)2 = 16 - (y - 3)2

∴ x + 2 = ± [16 - (y - 3)2]1/2

∴ x = -2 ± [16 - (y - 3)2]1/2

Yes it does. They both equal 72.

No.

(7 x 9) + (9 x 9) = 16 x 9 = 144

If you mean

2x2 + 3x = (3x - 1)2 - x2

Then you can solve it this way:

Expand:

2x2 + 3x = 9x2 - 6x + 1 - x2

Group like terms:

2x2 + 3x = 8x2 - 6x + 1

6x2 - 9x - 1 = 0

Complete the square:

6x2 - 9x = 1

x2 - 3x/2 = 1/6

x2 - 3x/2 + 9/16 = 1/6 + 9/16

(x - 3/4)2 = 8/48 + 27/48

(x - 3/4)2 = 35/48

Solve for x:

x - 3/4 = ± √(35/48)

x - 3/4 = ± √(35/3) / 4

x = 3/4 ± √(35/3) / 4

x = [3 ± √(35/3)] / 4

If you mean something else, then you'll need to be clearer with your question.

ex3

1597*6=9,582

8x + 7 = 5x + 28 subtract 5x and 7 to both sides

3x = 21 divide by 3 to both sides

x = 7

12/3+21/4+25/6... Ignore the whole numbers for a moment....

2/3+1/4+5/6. Give them all the same denominator so you have...

8/12+3/12+10/12 Now - add the top numbers of the fractions together...

8+3+10=21. 21/12 = 19/12 Finally, add all the whole numbers from the original sum (5) to give you your final sum of 69/12. Your last step is to simplify the fraction to 63/4

This depends on wether you want your answer in radians or degrees. If you want the answer in degrees, the highest and lowest point of the sin graph wil always be 90, 270, 450... and crosses the zero point at 180, 360, 540... If you want your answer in radians, the graph crosses the zero point, at pi, 2 pi, 3 pi... and has it's highest/lowest point at 1/2 pi, 1 1/2 pi, 2 1/2 pi...

2X + 5X + 4 = 25

add the X terms together

7X + 4 = 25

subtract 4 from each side

7X + 4 - 4 = 25 - 4

7X = 21

divide both sides integers by 7

(7/7)X = 21/7

X = 3

----------check in original equation

2(3) + 5(3) + 4 = 25

6 + 15 + 4 = 25

25 = 25

checks

2x2 - 9x + 3 = 0

Using the quadratic formula:

x = [9 ± sqrt(92 - 4*2*3)]/(2*2)

= [9 ± sqrt(81-24)]/4

= [9 ± sqrt(57)]/4

= 0.36254 or 4.13746 (to 5 dp)

Well first you need to have x coordinate. Lets say x=0 and y=2, y is the line that is vertical and x is the line that is horizontal. Now you can remember this by over and out. First you do is the x coordinate which is 0. So you move left and/or right 0 times. If its a positive number then you move right on the x line and if its negative number you move left on the x line. But the number 0 is not a negative or positive number so you just keep the number 0 in the middle of the graph. Do not make a mark where the 0 coordinate was supposed to go. Just try to remember where the coordinate is supposed to go. Now its time to do the y coordinate which is 2. So you move up and/or down 2 times. If its a positive number then you move up on the y line and if its a negative number then you move down on the y line. The number 2 is a positive number and goes on the y line so you move up 2 times. So remember where the x coordinate was? Put your pencil there and move up 2. That's how you graph y=2.

Hope it helps!

That would still be 4. If it were times 0 it would be 0.

By antiderivative do you mean integral?

If yes, integral x^1 dx= (x^2)/2

a2