We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: 
Step-by-step explanation:
The slope intercept form of a line is given by:
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
Putting b=-6 in the equation
Hence,
The equation of line passing through (10,9) and having slope 3/2 is:
Isolate x; you must get all the constants on one side of the equation and the variables on the other side. Use subtraction/addition to do this. Reply to me once you've done that if you still need help.
Answer:
Step-by-step explanation:
Hi there,
We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor. The GOAL in this first, easy step is to get students used to two things:
To get used to the long division "corner" so that the quotient is written on top.
To get used to asking how many times does the divisor go into the various digits of the dividend.
Example problems for this step follow. Students should check each division by multiplication.
In this step, students also learn to look at the first two digits of the dividend if the divisor does not "go into" the first digit:
4 √ 248
4 does not go into 2. You can put zero in the quotient in the hundreds place or omit it. But 4 does go into 24, six times. Put 6 in the quotient.
Explanation:
The 2 of 248 is of course 200 in reality. If you divided 200 by 4, the result would be less than 100, so that is why the quotient won't have any whole hundreds.
But then you combine the 2 hundreds with the 4 tens. That makes 24 tens, and you CAN divide 24 tens by 4. The result 6 tens goes as part of the quotient.
Check the final answer: 4 × 62 = 248.
