cosx if x<0 if x-0 -x² if x>0 23. f(x)-0 4-0

Q: Proof Prove Property 1 of Theorem 1.2.

A: Given :                  The limit,                 limx→c f(x) = L Formula used :…

Q: Actual question: • State any form of Green's theorem; • Under what conditions does Green's theorem…

A:

Q: 2 Prove that it a) = (a+b) = (- 1/(-a)= -( - عاها - (a+b) = (- (-a7²b) + (a+b))

A: To prove these properties, you can use the properties of real numbers and basic algebraic…

Q: Proof the Chebyshev’s Theorem in detail and give an example

A:

Q: Set S and P(S) is the powerset of set S. Then, a | z€ P(S) ^리= 2

A: True

Q: Suppose a1, a2, ... > 0 and bn 1 bn diverges. n=1 a₁+a2++an Prove that n

A:

Q: Basic concept underlying Calculus?

A: The given rational function  is fx=x+1x2+3x+2 we have to graph the function using the given…

Q: Example-24) Find elA]x Where[A] = [ d-

A: Given: A = 2130 To find: The value of  eAx.

Q: 6. There are real numbers a and b such that Tarb = √at VE Proof: Let

A:

Q: Part B: Calculus and proof (i) Let f(x) = e* - 1 - x. Using calculus-based approach prove that…

A: Given :let f(x)=ex-1-x using calculus based approach prove that ex&gt;1+x for x&gt;0

Q: Can you explain part c briefly? (it''ll be helpful if you can mention if you used any law or…

A: The probability distribution of X in a table form is obtained as follows: X 0 1 2 3 4 PX=x 0.50…

Q: Sketch a graph that models the given situation. The distance that a boat is from a harbor if the…

A:

Q: Reduce a fraction show all work

A: Consider the provided fraction,