Provide an appropriate response.Use the definition of continuity to show that f(x) = 
is continuous at x = -5.
What will be an ideal response?
f(-5) is defined (= 3); 
f(x) exist (= 3); and 
f(x) = 3 = f(-5). Thus, f(x) is continuous at x = -5.
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Find the area of the region specified by the integral(s).
+ 
A. 64 B. 128 C. 4 D. 8
Provide an appropriate response.Important news is said to diffuse through an adult population of fixed size L at a time rate proportional to the number of people who have not heard the news.Set up a differential equation for 
where N(t) is the number of people who have heard the news t days after it is reported. Write the solution to the differential equation. Find 
N(t).
What will be an ideal response?
Find dy/dt.y = t9(t6 + 7)5
A. t8(t6 + 7)4(39t6 + 63) B. 270t52(t6 + 7)4 C. t9(t6 + 7)4(39t5 + 63) D. 9t8(t6 + 7)4(30t6 + 7)
Find the exact value of the expression or state that it does not exist.sec[tan-1(-
)]
A. 
B. - 
C. 2
D. 