This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
Answer:
well, since a real baseball diamond is 90 feet on each side then the distance from homebase to second is 127 feet 3 3/8 inches
hope this helps :D
Answer:
y=mx+b
Step-by-step explanation:
The formula to find the slope is y=mx+b
hope this helps
Answer:
[C] 25π square inches
Step-by-step explanation:
<u><em>Given that:</em></u>
<em>the long hand of the clock is about 5 inches long.</em>
<u><em>To Find:</em></u>
<em>What is the approximate area of the clock face?</em>
<u><em>Solve:</em></u>
<em>Formula - </em><em>A =πr²</em>
<em>Note that;</em>
<em>π = 3.14 (about)</em>
<em>Radius - 5 inches</em>
<em>A =πr²</em>
<em>A = 3.14(5)²</em>
<em>A = 3.14(25)</em>
<em>A = 78.5</em>
<em>Now let see the answer choices:</em>
<em>A. 5π square inches ≈ 5(3.14) = 15.7</em>
<em>B. 10 π square inches ≈ 10(3.14) = 31.4</em>
<em>C. 25 π square inches ≈ 25(3.14) = 78.5</em>
<em>D. 100 π square inches ≈ 100(3.14) = 314</em>
<em />
<em>Hence, the answer is [C] 25 π square inches </em>
<em />
<u><em>Kavinsky~</em></u>
Answer:
z = 15/30 = 3/6
Step-by-step explanation:
1/5z - 5/6 = - 4/5z - 1/3
1/5z + 4/5z = - 1/3 + 5/6
5/5z = - 2/6 + 5/6
5/5z = 3/6
z = 3/6 / 5/5
z = 3/6 * 5/5
z = 15/30
