## UsukiDoll one year ago Let the propositional function C (f,a) mean "The function f is continuous at the point a," and let the propositional function of D(f,a) mean "The function f is differentiable at the point a" Using these symbols together with logical symbols, express the following statements.

1. UsukiDoll

Neither the tangent function nor the secant function is continuous at pi/2. Either a>0 or the natural logarithm function is not differentiable at a. The absolute value function is continuous at 0, but not differentiable at 0.

2. UsukiDoll

so for the first one I got that the sentence is related to C f(a,) because the functions are tangent and secant. I should write it as ~C(f,a) but is just ~C(f,a)?

3. UsukiDoll

Second one. D(f,a) related. it says that either a>0 or the natural logarithm function is not differential at a. if I didn't have the c(f,a) d(f,a) required I would easily put my P as a>0 and Q that long sentence and that would be P V Q.

4. UsukiDoll

Third one is again D(f,a) related. The absolute value function is continuous at 0, but not differentiable at 0. with my p = absolute value function is continuous at 0 q = not differentiable at 0 this is not an implies or bi-conditional.

5. UsukiDoll

P ^ Q but that would read as The absolute value function is continuous at 0, [and] not differentiable at 0.

6. UsukiDoll

but thing is how to apply the C(f,a) and D(f,a) in this?

7. ganeshie8

For second question :- Either a>0 or the natural logarithm function is not differentiable at a. (a >0) V ~D(ln, a <= 0)

8. UsukiDoll

OH OF COURSE! *facepalm* we have to apply the f a in the C or D

9. UsukiDoll

The absolute value function is continuous at 0, but not differentiable at 0. The ORIGINAL D(f,a) states "The function f is differentiable at the point a" F not differentiable at 0 . . . hmm there's no point a

10. UsukiDoll

the first one for C(f,a) f would be neither tangent nor secant a is continous at pi/2

11. ganeshie8

The absolute value function is continuous at 0, but not differentiable at 0. C(f, 0) ^ ~D(f, 0)

12. ganeshie8

you want to translate the given statements to boolean symbols. thats all right ?

13. UsukiDoll

errr it did say that I have to use those special symbols... if I didn't have to, I can easily see the P and Q 's

14. ganeshie8

wat special symbols ?

15. UsukiDoll

so all of C(f,a) is negated on this.

16. UsukiDoll

Let the propositional function C (f,a) mean "The function f is continuous at the point a," and let the propositional function of D(f,a) mean "The function f is differentiable at the point a" Using these symbols together with logical symbols, express the following statements.

17. ganeshie8

18. UsukiDoll

Neither the tangent function nor the secant function is continuous at pi/2 is purely a negative C (f,a) for f being tangent function nor secant function and a continuous at pi/2

19. ganeshie8

First one : Neither the tangent function nor the secant function is continuous at pi/2 is ~C(tan, pi/2) ^ ~C(sec, pi/2)

20. UsukiDoll

thought so...so I have to make it into detail as everything counts.

21. ganeshie8

just convert the statemetns, whats big deal ha

22. ganeshie8

unless we both are not in same page... :o

23. UsukiDoll

well I quickly saw the first one as a double negative. no no it did say to use C f,a and D f,a Which I sort of seen. except the last one was a tad tricky

24. ganeshie8

for me, first and last are easy. middle one is tricky as we need to think a bit

25. UsukiDoll

k new practice question.