Hello :
f'(7) = the slope of the tangent line : let A(7,4) B(0,3)<span>
<span>the slope is : (YB - YA)/(XB -XA)= (3-4)/(0-7) = -1/-7 = 1/7=f'(7)
the equation of the tangent line is :
y-3 = 1/7 (x-0)
y = (1/7)x+3
the line tangent and the graph of : f </span></span><span>passes through the point A(7, 4)
x= 7 y=4 so : f(7) =4</span>
Answer:
<u>9π m²</u>
Step-by-step explanation:
We will need calculate the area of the top, the base and sides.
Area of the top=πr²
Area of the base=πr²
Area of the side: 2πrh
Surface area of a cylinder: area of the top + area of the base +area of the side
Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)
Data:
r=1.5 m
h=1.5 m
Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².
Expand the expression?
Perform indicated multiplication:
7a(2a)+7a(-5)-4(2a)-4(-5)
14a^2-35a-8a+20 combine like terms, ie (-35a-8a)=-43a
14a^2-43a+20
Answer:
27 miles.
Step-by-step explanation:
if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped
Since the equations for area is A= L*W
A= 9*4= 54
