Answer:
−6a+3b+13
Step-by-step explanation:
Answer:
847.8 sq meters
Step-by-step explanation:
Formula:
A= 2πrh + 2πr^2
A= 2(3.14)(9)(6) + 2(3.14)9^2
A= 339.12 + 508.68
A= 847.8
Answer:
(-4, 5)
Step-by-step explanation (work shown in attached picture):
1) Since x is already isolated in the first equation, substitute that value for x into the other equation to find y. So, substitute 16-4y for the x in 3x + 4y = 8, then solve for y. This gives us y = 5.
2) Now, substitute that given value for y back into any one of the equations to find x. I chose to do it in the first equation. Substitute 5 for the y in x = 16-4y, then solve for x this time. This gives us x = -4.
Since x = -4 and y = 5, the solution is (-4, 5).
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)
Answer:
Solution given:
Volume of rectangular prism=length*breadth*height
for
1st one 4in,3in,6in
Volume=4*3*6=<u>72cu.in</u>
For second one 6in,3in,2in
Volume=6*3*2=<u>36cu.in</u>
For third one 4in ,5in,4in
Volume=4*5*4=<u>8</u><u>0</u><u>c</u><u>u</u><u>.</u><u>in</u>
For forth one 2in,9in,3in
Volume=2*9*3=<u>5</u><u>4</u><u>cu</u><u>.</u><u>in</u>