Express the limit lim 2 (c- 3ck) Axk, where P is a partition of [- 5,8], as a definite integral. P|¬0k=1 ..... The definite integral is

Q: Prove for a > 0:

A: Integration of the function helps to prove the required identity. A number can be written as the…

Q: Find numbers a and b, or K, So that ff is continuous at fcc) of 1x+8, of x 2-7. Kx +2, if x2-7…

A: In this question, we want to find the value of k such that function f(x) is continous at every…

Q: If f(z) <0 for all real numbers z then f is decreasing on (-o, 00) Select one: O a. False O b. True

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Q: ch that the function X-4 x 5. f (x) =

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Q: let f be the function x²-C for x< 5 flx)=3x+5c for X Z 5

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Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: Let f : N x N H R be defined by (a + 1)(a + 2b) f (a, b) = (a) Show that the image of f is contained…

A: given that                                           f:N×N→R is defined.…

Q: Let fand g be the functions defined by f(x)= x+et-&x + 1, and g(x) ==- 4x + 2. Let Q and R be the…

A: Hi! All the sub-parts are quite big. As nothing is specified, we are solving (a). kindly re-post the…

Q: Is - 3/2 in the domain of f for x ∈ [-4,1]?

A: We have to say that the given statement is true or not: Is -32 in the domain of f for x∈-4, 1? Here…

Q: 호호 -^ z-vz44 Z

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Q: Let frx) = (x²+2x), and g(4)=(1++) find gof and f.g.

A: Given, fx=x2+2x and gx=1+1x.   The objective is to find g∘f and f∘g.   g∘f is found as follows:…

Q: Show that f (a) = is Libschitz function on r+ 2

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Q: Let X={1, 2, --, 16} and define function f(x)=r, for all rE X where r, is the remainder when 3* is…

A: Let X=1,2,...,16 and define function fx=rx for all x∈X, where rx is the remainder when 3x is divided…

Q: c) Evaluate ſ x*(In x)²dx

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Q: Let f(x) = = 1 2022/1-x2022 . Evaluate f(f(f(...(f(2022))...))), where there are 2022 f's.

A: We will find a patter in composition to conclude about 2020 f s

Q: Let x &gt; 0 and b &gt; 0. Show that

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