Answer:
Step-by-step explanation:
By definition of Laplace transform we have
L{f(t)} =
Now to solve the integral on the right hand side we shall use Integration by parts Taking as first function thus we have
Again repeating the same procedure we get
Again repeating the same procedure we get
Now solving this integral we have
Thus we have
where s is any complex parameter
Answer:
10 Square Inches
Step-by-step explanation:
<u>Trapezoid</u>
Base =12 inches
Height =10 inches
Top side= 10 inches.
Area of a Trapezoid
Area of the Trapezoid=110 Square Inches
<u>Rectangle</u>
Base = 12 inches
Height =10 inches.
Area of a Rectangle=Base X Height
=12 X 10
=120 Square Inches
<u>Difference in Area between the two packages</u>
Difference=Area of Rectangle-Area of Trapezoid
=120-110
=10 Square Inches
Answer
f(6) = -33 and g(-3) = -52
Explanation;
Given the function
f(x)=-5x-3
f(6)=-5(6)-3
f(6) = -30 -3
f(6) = -33
Similarly if g(x)=2x^3+2
g(-3)=2(-3)^3+2
g(-3) = 2(-27)+ 2
g(-3) = -54 + 2
g(-3) = -52
Hence f(6) = -33 and g(-3) = -52
5 times as far take 60 and divide by 12 and you get 5
Answer:D
Step-by-step explanation: the equation is written is slope- intersect form were -2 is the y intersect. the coordinate of the y intersect is (0,-2). the number in front of the x is the slope which is 1/2. so the answer is D.