UsukiDoll
  • 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.
Mathematics
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SOLVED
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katieb
  • katieb
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UsukiDoll
  • 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.
UsukiDoll
  • 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)?
UsukiDoll
  • 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.

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UsukiDoll
  • 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.
UsukiDoll
  • UsukiDoll
P ^ Q but that would read as The absolute value function is continuous at 0, [and] not differentiable at 0.
UsukiDoll
  • UsukiDoll
but thing is how to apply the C(f,a) and D(f,a) in this?
ganeshie8
  • ganeshie8
For second question :- Either a>0 or the natural logarithm function is not differentiable at a. (a >0) V ~D(ln, a <= 0)
UsukiDoll
  • UsukiDoll
OH OF COURSE! *facepalm* we have to apply the f a in the C or D
UsukiDoll
  • 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
UsukiDoll
  • UsukiDoll
the first one for C(f,a) f would be neither tangent nor secant a is continous at pi/2
ganeshie8
  • ganeshie8
The absolute value function is continuous at 0, but not differentiable at 0. C(f, 0) ^ ~D(f, 0)
ganeshie8
  • ganeshie8
you want to translate the given statements to boolean symbols. thats all right ?
UsukiDoll
  • 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
ganeshie8
  • ganeshie8
wat special symbols ?
UsukiDoll
  • UsukiDoll
so all of C(f,a) is negated on this.
UsukiDoll
  • 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.
ganeshie8
  • ganeshie8
i have read that before
UsukiDoll
  • 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
ganeshie8
  • 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)
UsukiDoll
  • UsukiDoll
thought so...so I have to make it into detail as everything counts.
ganeshie8
  • ganeshie8
just convert the statemetns, whats big deal ha
ganeshie8
  • ganeshie8
unless we both are not in same page... :o
UsukiDoll
  • 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
ganeshie8
  • ganeshie8
for me, first and last are easy. middle one is tricky as we need to think a bit
UsukiDoll
  • UsukiDoll
k new practice question.

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