Answer:
Step-by-step explanation:
(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.
(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.
(C) Example of a second order linear ODE:
M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)
The equation will be homogeneous if K(t)=0 and heterogeneous if 
Example of a second order nonlinear ODE:
(D) Example of a nonlinear fourth order ODE:
![K^4(x) - \beta f [x, k(x)] = 0](https://tex.z-dn.net/?f=K%5E4%28x%29%20-%20%5Cbeta%20f%20%5Bx%2C%20k%28x%29%5D%20%3D%200)
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
Answer:
$33.33
Step-by-step explanation:
We are told in the above :
WalMart offered a 15% discount off the regular price of a Ice Cream Maker.
The amount of the discount is $5.00.
The formula for Percentage Discount =
Discount/Original amount × 100
Original amount = x
Hence:
$5/x × 100 = 15%
= 5/x = 15/100
Cross Multiply
5 = 0.15 × x
5= 0.15x
x = 5/0.15
x = $33.33
Therefore, the regular price of the Ice Cream Maker is $33.33
Answer:
TILE SIZES
Contemporary tiles are available in a variety of colors, styles, tile sizes, and shapes, which allows you to create a truly personalized space. Tile sizes are dependent on materials and intended uses, and they have increased dramatically over the years. But while there are some standard tile sizes, there are also a lot of manufacturers that make tiles in sizes specific to their in-house designs. Producers offer an enormous variety of products from very small 0.5” x 0.5” mosaic to large 24” x 24” tiles to suit in any house design and satisfy any customer needs.
1) 330
2) 172
3) 172
4) 99
5) 142
You place the smaller number or single number on the left side of the box then on top of the box for the first square you would take the first number of your two digit number turn that into a whole number then the second number you would put on top of the second box then just multiply them both separately then add them together.
Example number one: first multiply 5x60 you get 300 for the first box then you multiply 5x6 you get 30 so then you would add the 300 and the 30 to get 330. Hope this helps :)
