Can you check my answers CHAPTER6 25. If a differentiable function is strictly i

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Can you check my answers

CHAPTER6 25. If a differentiable function is strictly increasing 28.f is ex on the real numbers, which of the following statements about the function's derivative must in the 19th decimal place A) (B) 2 be true (A) It is always positive and strictly increasing (C) 4 (B) It is always positive but need not be (D) 5 strictly increasing strictly increasing. not always be strictly increasing (C) Jt need not always be positive but is always 29. The following is a computer algorithm using the numerical variables N and X. The functio INT (x) is defined to be the greatest integer le than or equal to x. (D) It need not always be positive and need 26. Which of the following sets is NOT closed STEP 1: Read a numerical value of N under division? 100N +0.5 STEP 2: X (A)Integers, excluding 0 B) Rational numbers, excluding 0 (C) Real numbers, excluding 0 (D) Complex numbers, excluding 0 STEP 3: Print X STEP 4: End If the value of N read in SIEP 1 is 6,735.829 what is printed in STEP 3 when the algorith is executed? A) 5733 27, Givenf(x)=4r, g(x)=x2+1, and h(x)= 1 for vnat value or values ofr is h(f(g(x)»-T? (A) 0 6735.83 (C) 6736 (D) 6736.32 (C) ± 15 (D) ±

Explanation / Answer

25. A. It is always positive and strictly increasing .

26. A. Integers because 2/5 is not an integer

27. f (g (x))= 4x^2 +4

h (f (gx))=1/(4x^2+4) =1/4

1=x^2+1

x=0.

Answer is A.

28 . 3/7= 0.4285714285714285714

Answer is 4. i.e C

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