Q4: Suppose that f satisfies the equation f (x + y) = f(x) + f(y) + x²y + xy² for all real numbers x and y. Also, we have f(x) lim = 1 x 0 X a) Find f(0) b) Find f'(0) c) Find f'(x)

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A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Find f g and g of, where f (x) = x^2 + 1 and g(x) =3x + 2, are functions from R to R.

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Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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Q: let f(x)= X4+1 a find f'() + simplity

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A: Given that to he function f is one-to-one function.

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Q: 3) a) Find the real and imaginary parts of the following functions: ^) f(2)= ²² +₁ Z-1 2) f(z) = 3z²…

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Q: Consider the function F(x)= (x+2)^2 for the domain [-2, ∞)

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Q: Identify the equation that defines y as a function of x (a) x+(y-1)² = 3 (b) x2-y 3xy (c) 3x+5y = 1…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.