All categories

2 years ago

What is the degree of the following polynomial? -4x + 5x2 – 2x5 + 12

Mathematics

1 answer:

djyliett [7]2 years ago

4 0

Answer:

Step-by-step explanation:

The highest power of x will be the degree of the polynomial.

You might be interested in

A motorcycle zoomed along the freeway, traveling 10 meters in

Nana76 [90]

Answer:

30 meters per second

Step-by-step explanation:

$speed =\frac{distance}{time}\\speed =\frac{10}{\frac{1}{3} }\\speed =10*3\\speed = 30mps$

4 0

2 years ago

A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.

Reptile [31]

Answer:

a.P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}$

Step-by-step explanation:

We are given that a linear differential equation

$y''+2y=e^{3x}+x^3$

We have to find the particular solution

P.I= $\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}$

P.I= $\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}$

P.I= $\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3$

P.I= $\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0}$ (higher order terms can be neglected

P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.Characteristics equation

$D^2+2=0$

$D=\pm\sqrt2 i$

C.F= $C_1cos \sqrt2x+C_2 sin\sqrt2 x$

G.S=C.F+P.I

G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)$

3 0

2 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

larisa [96]

What are your answer choices? I’m not sure which equation they are asking for?

The solution to this system of equations is
X= -5
Y= -3

4 0

2 years ago

Janet and Jack are walking in a two-day event to raise money for charity. Janet asks a friend for a $7.50 donation, plus $0.10 f

il63 [147K]

Answer:

Step-by-step explanation:

A. 40

B. 28

C. 44

D. 25

3 0

2 years ago

Fran drew a triangle with no congruent sides and one right angle.Which term accurately describes a triangle?Select all that appl

strojnjashka [21]

Scalene and right, since:

There is a right angle
and scale means that there are no angles that are the same.

3 0

2 years ago