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: b) Euler's theorem states that f(:) = "lax, X1 +°"/ax,X2 for functions that are homogenous of degree…

A: Homogeneous Function: A function f of two variables x and y is said to be homogeneous of degree n if…

Q: 3) Use the information below about the functions) COS X Let h(x) = (a) Find h'(x) = (b) Find h' (0)…

A: Given Table xf( x )f'( x )-23-5-1-940591322-58

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: 0<x<1 Q.2 Consider the function f(x)= Find x, 1<x<2 and sketch the odd and even extensions for f(x)…

A:

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: For what numbers 0 is f(0) = csc 0 not defined?

A: To find the numbers θ where fθ=cscθ is not defined. Solution: We know that, cscθ=1sinθ A rational…

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: 1. Consider the table of values for f given below: 3 f(x) 4 6. 5. Find the value of (a) ƒ-'(5), (b)…

A:

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: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: 5. Determine algebraically whether the function f(x) = -3x5(4-9x2) ¹2 is even, odd or neither.

A: "According to the guidelines issued by the company We are supposed to answer only one question.…

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

A:

Q: Identify the original function f(x) and what value of c to evaluate f'(c). (3x-9x²)+(42) x+2 lim…

A:

Q: 2. Which function is shown on the graph below? -2 A. S(x) = tan 1¹ (x-7) - B. /(x) = tan-1/(x+4)-2…

A:

Q: cos x and g(x) x²-x-6 a) What is f(x) g(x) b) What is the domain of f(x), g(x) c) Determine the…

A:

Q: A function f is even if f(x) = f(-x) and odd if f(x) = -f(-x). For example, f is even if f(x) = x2…

A:

Q: 1.) Let f(x) = 7 + What is f(3 + h)?

A:

Q: Find f(2021) if the function f satisfies following conditions,(a) f(1) = 1, (b) f(x+ y) = f(x) +…

A: To find - Find f2021 if the function satisfies following conditions, (a) f(1) = 1, (b) f(x + y) =…

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.