Answer:
2(9j+5) and 18j+10
Step-by-step explanation:
1) group like terms
2) distribute
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Answer: $3,400
Step-by-step explanation:
There are 400 seats in the auditorium which means that there are 400 tickets to be sold.
85% of these tickets are sold. The number of tickets sold is:
= 85% * 400
= 340 tickets were sold.
Each ticket sells for a total of $10.
The amount of money made from ticket sales is therefore:
= No. of tickets sold * price of ticket
= 340 * 10
= $3,400
The simple closed curve is called the base of the cone, and the fixed noncoplanar point is the vertex. ... Figure %: A right circular cone It is easy to see the close relationship between pyramids and cones. The only difference is the base--a pyramid is a cone with a polygonal base.
Answer:
Step-by-step explanation:
The two dots on the bottom of this figure define the base of a triangle. If we now use a compass to draw the blue arcs on either side, as shown, the arcs will intersect at two points. A straight line drawn through these two points will be perpendicular to the base. The triangle will be isosceles and could be (but doesn't have to be) equilateral.
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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