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Jul 04, 07 · We can determine the correct answer choice by substituting numerical values for a and b We could use any two values for a and b, but for simplicity, let's choose a = 1 and b = 2 The function now looks like this f (1 2) = f (1) f (2) f (3) = f (1) f (2) So, we must determine which answer choice has f (3) equal to the sum of f (1) and f (2)P u f f B a n d z 275 likes · 2 talking about this this is the official page for VVS contracted recording artist p u f f s i n a t r a>6@r,iob g/&"%1 gp4i"%@b "?vf>6@u"%4` f$&h>6, k à ,z,iob ,&>?1g t e m gsu$& ,&ob $& _8;% =, 1g %,i %$whb$(>?




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Dec 16, 08 · Both f (1) and f (2)=2 There is c in (0,2) such that f' (c)=f (b)f (a)/ba By the MVT, there is a number c in (0, 1) such that f' (c) = f (1) f (0)/ (1 0) = 2/1 = 2 You can use the same idea to show that for another number c in (1, 2), f' (c) = 0 If you knew that f' was continuous, you could use the Intermediate Value Theorem to showF(x) hasa value equal to f(c) = ∫b a f(x)dx b a Multiplying bothsides by b a proves the result 4The first fundamental theorem of integral calculus We are now in a position to prove our first major result about the definite integral The result concerns the socalled area function F(x) = ∫ x a f(t)dt and its derivative with respect to xSimple and best practice solution for f(x)=k(xa)(xb) equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework




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Sep 30, 17 · Answer is (ab)/2 int_a^b f(x) dx Let "I" be the integral, I = int_a^b xf(x) dx (1) Using the property of definite integrals, I = int_a^b (abx) f(abx) dx It is given that, f (abx) = f(x) implies I = int_a^b (abx) f(x) dx implies I = (ab) int_a^bf(x) dx int_a^b x f(x) dxJul , 14 · Let X and Y be sets, and let A and B be any subsets of XDetermine if for all functions from X to Y, F(AB) = F(A) F(B) Justify your answer Homework Equations The Attempt at a Solution intuition tells me no because the F(AB) will have a different x values going to a different y values in Y than F(A) F(B) also,The Fundamental Theorem of Calculus, Part 1 If f is continuous on a,b, then the function g defined by g(x) = Z x a f(t)dt a ≤ x ≤ b is continuous on a,b and differentiable on




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