calculus need help with problem 13 please (a) The temperature at a specific loca

Question

calculus

need help with problem 13 please

(a) The temperature at a specific location as a function of time (b) The temperature at a specific time as a function of the t a function f is say about its which f is determine 10. Explain why each function is continuous or discontinuous distance due west from New York City (c) The altitude above sea level as a function of the distance due west from New York City (d) The cost of a taxi ride as a function of the distance traveled (e) The current in the circuit for the lights in a room as a rom the left, function of time 11-14 Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. 11. f(x) - (x+2x') a1 25t 12. g(r) = , a 13. p(i)-2,aT + 1, a=1 15-16 Use the definition of continuity and the properties of limits to show that the function is continuous on the given interval. 15. f(x) = x + Vr-4 , [42) 16, g(x) = 3x + 6, 16. glx)

Explanation / Answer

13) p(v)=2sqrt(3v^2+1)

To prove that the function is continous at a=1 we need to prove that limit v-->1- p(v)=p(1)=lim v--->1+ p(v)

limit v-->1- p(v)=2sqrt(3(1-)^2+1)=4

p(1)=4

lim v--->1+ p(v) = 2sqrt(3(1+)^2+1)=4

limit v-->1- p(v)=p(1)=lim v--->1+ p(v)=4

Hence we can say that the function is continous at a=1.

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