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EleoNora [17]
3 years ago
12

What is 7/4 times 7/3

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

49/12

Just mulitply the top and the bottom across.

7*7/4*3

49/12

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Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti
Vikki [24]

Answer:

General Solution is y=x^{3}+cx^{2} and the particular solution is  y=x^{3}-\frac{1}{2}x^{2}

Step-by-step explanation:

x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}

This is a linear diffrential equation of type

\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)..................(i)

here p(x)=\frac{-2}{x}

q(x)=x^{2}

The solution of equation i is given by

y\times e^{\int p(x)dx}=\int  e^{\int p(x)dx}\times q(x)dx

we have e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}

Thus the solution becomes

\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+cy=x^{3}+cx^{2

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have 6=8+4c

Thus solving for c we get c = -1/2

Thus particular solution becomes

y=x^{3}-\frac{1}{2}x^{2}

5 0
3 years ago
help!!! Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y=2x+4
zhannawk [14.2K]

y- intercept = (0, 4), x-intercept = (- 2, 0)

to find the intercepts let x = 0 and y = 0 in the equation

x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)

y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)


8 0
3 years ago
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneaker
Korvikt [17]

Answer:

$25.00

Step-by-step explanation:

200-100=100

100/4=25

4 0
3 years ago
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The 7th term of an A.p is -4. If the common difference is-5, find the 6th term​
Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

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Collection or percolation
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