Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'
Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor
Multiplying both sides of equation (1) by integrating factor and integrating we get
Answer:
A score of 117 is needed, which Is not possible since the test is over 100.
Step-by-step explanation:
The other 3 scores are 85, 94,84 . Let's x be the 4th score he must score.
Therefore ( 85 + 94 + 84 + X)/4 =95
Then 263+X /4 =95
Cross mutiplying 4*95=263+X
Therefore X= 380-263
X= 117 which is not possible since the test score is over 100.
Answer:
x = 55, y = 70, z = 125
Step-by-step explanation:
125 and x are adjacent angles and are supplementary, then
x = 180 - 125 = 55
The triangle is isosceles ( 2 congruent sides ) thus the base angles are congruent, both 55
The sum of the 3 angles in the triangle = 180° , thus
y = 180 - (55 + 55) = 180 - 110 = 70
55 and z are adjacent and supplementary, so
z = 180 - 55 = 125
The product of 5 3/4 X 4 2/9 is equal to 24 5/18
