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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
y=-4x+4
A good way is to give numbers for x and see what y is. I've done enough of these to see it in my head.
All you need is two points. The y-intercept is 4 because that's when x is 0. (0,4)
Then go right unit then down 4 and that's your next point.
0=-4(1)+4
Which is (1,0)
Connect the two lines
How do you do problems such as -1450-8x equals -1994?
I don't know you meant the ugly and large numbers, or linear single variable equations. For the former, you just need patience, practice and either a mad brain I don't have or a calculator which I do have.
For the latter, there is a way to do it. For any Linear equation, we can always simplify it to this form:
a + bx = 0 where b is NOT 0. (if it is, then a must be 0, or you've goofed somewhere and yes, it's a 0 on the right hand side RHS)
Then, bx = -a, x = -a/b
Of course that's the easy part, the hard part is to put it into a + bx = 0 form
This, I can't really give you a generic case, only that use addition and subtraction to move everything to one side. Multiplication if necessary. If you are using division somewhere, you might not be working with a linear equation.
What is the derivative of 12013.995 x 0.7798x?
If the middle x means multiply then...
y = 12013.995*0.7798x
y = 9368.513301x
y' = (1)9368.513301x1-1
y' = 9368.51330
What is the x-intercept for this linear equation 5 x - 4 y equals 18?
There is one simple way to find the answer to this.
The x-intercept occurs when y = 0 as this is the equation of the x-axis. Along the x-axis, the value of the y is always zero.
There fore you can take the value y = 0, substitute into the equation and then solve for x.
e.g.
5x - 4 x 0 = 18
5x = 18
x = 3.6
Hence the x-intercept is when y = 0 and x = 3.6
This method also translates to how to find the y-intercept. The only difference is that you substitute x = 0 into the equation.
What is the factor of the trinomial 7x square plus 7x-14 in polynomail in descending form?
you set it equal to zero
7x^2 + 7x - 14 = 0
since there is a common factor of 7, you can divide each term by that, including the zero on the other side, which just gives you zero again...
(x^2 + x - 2) = 0
You have to find two numbers that multiply to give you the coefficent of the third term (c = -2), and add to give you the coefficient of middle term (b = 1)
so, +2, and -1 add to give you +1 (b), and multiply to give you -2 (c).
so the factors are:
x+2 and x-1
(and therefor the roots are x= -2, and x =1, but you just asked for the factors)
What is the integral of 1 divided by the square of the hyperbolic sine of x with respect to x?
∫ 1/sinh2(x) dx = -cotanh + C
C is the constant of integration.
What is the solution to x2 plus 2x equals 410 the solution is between 7 and 8?
The answer is (3.5)2 plus (4)2 equals 410.
the answer is infinte.
reason:when you add the two terms ,the numerator is a quadratic equation but denominator is a linear in x ,,,, so as x tends to infinite the function tends to infinite
Can you use two different scales on a single set of axes?
Definitely! In fact, it's way more common for the scales to differ than be equal. For instance, the equation y=x^2 is curved (a parabola in fact). Well, there's nothing stopping you from scaling the y axis down by its square root, assuming you clearly label it that way, so that the graph is linear.
Why is my TI 84 plus silver edition not letting me change the x and y list values for LinReg(ax b)?
Additional Information:
When I enter the LinReg it turns up, on the screen,
"LinReg
y=ax+b
a=[some value]
b=[some value]
r^2=[some value]
r=[some value]"
From looking at other people's calculators I'm pretty sure that there's supposed to be another screen it takes you to first, one that says something along the lines of
"Xlist:
Ylist:
FreqList:
Store RegEQ:
Calculate"
however it appears that mine just skips this step, setting Xlist as L1 and Ylist as L2.
I have looked around on my calculator for a while and haven't been able to find anything.
Stat Diagnostics is set to on.
If anyone can help me on this I would be greatly appreciative.
Is -10 a solution of -4f equals 3of?
Before we start evaluating proposed solutions, let's examine the equation for just a second:
-4f = 30f
Divide each side of the equation by ' f ' :
-4 = 30
If that just doesn't look right to you, you're on to a valuable insight. You may be
tempted to say that the equation can't have any solution, because -4 can't be equal
to 30. But there is actually one solution . . . [ f = 0 ].
If [ f = 0 ], then by gosh, -4f is actually equal to 30f .
And no, ' f ' can't be -10 .
How do you find the quadratic function of y equals 7x2 plus 2x plus 11?
With difficulty because the discriminant of the quadratic equation is less than zero meaning it has no solutions
