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2 answers:
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Answer:
Part a) The lateral area is
Part b) The area of the two bases together is
Part c) The surface area is
Step-by-step explanation:
we know that
The surface area of a right cylinder is equal to
where
LA is the lateral area
B is the area of the base of cylinder
we have
Part a) Find the lateral area
The lateral area is equal to
substitute the values
Part b) Find the area of the two bases together
The area of the base B is equal to
so
the area of the two bases together is
Part c) Find the surface area of the cylinder
we have
substitute
9514 1404 393
Answer:
a, c
Step-by-step explanation:
There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.
The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.
In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).
The function is negative on intervals (a) and (c).
