Q3// In The Following Cassese What is the behavior of given function f(x) as x+o. Does f(x) approach a number as limit? Does f (x) tend to +o or to -co? Does it do none of these things? (b) sin-: (e) x2 + xsinx; (f) x2 + x² sin x; (g) x +x2 sin x. (a) sin x: sin x (c) (d) xsin x: Not tend to tend to approached to any of tend to positive negative number. infinite. infinite. them. (a). (b). (c).

Q: [6] Use the algebraic test to determine if these functions are odd, even, or neither. [Odd: f(-x) =…

A:

Q: interval a sxsband a(n) function on a open interval a <x <b. Then there exists ace (a,b) such that…

A: It is problem of mean value theorem

Q: |x| 3 +x* 2) Without making use of a graph show that the function f (x) is even.

A: Hera function is given and we have to prove that given function is even

Q: For what value of x is f ( x ) = 0 ? ( - 2, 0 ) ( 0, 2 ) ( 1, 5 ) ( 3, 6 )

A:

Q: What is true about the function f(x)= = a) f(x) → from above b) f(x) →2 from above c) f(x) → from…

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

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Q: 1. Given the function g(x) = x^2+2x, evaluate [g(x) − g(a)] / [x − a] ,  x ≠ a   2.  Given  f (x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose f(x) is a function with the following properties: • ƒ"(1) = ƒ"(2) = ƒ”(4) = 0, f"(x) > 0 for…

A: Let's solve for inflection points at which points.

Q: b) The difference of two real-valued functions f and is defined by f – g := f + const_1 · g. That…

A: b) We want to express the given definition of the function in terms of two indicator functions. Let…

Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

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Q: 2. The zeros of a function f(x) are 3 and 4, while the zeros of a second function g(x) are 3 and 7.…

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Q: 5. Let F(x)= = x - 3 x+7' (a) On which interval(s) is F(x) > 0? (b) On which interval(s) is F(x) <…

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Q: i Which of the following functions have zeros at 1 and -2? (x + 4)(x+2)(x = } x + 3){x – 4) I. f(x)…

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.