² + 2ry² + y² x² + y² (0, (x, y) # (0, 0) f(x, y) = (x, y) = (0, 0) ² + 2xy² + y² x² + y? (1, (x, y) # (0, 0) g(x, y) = (х, у) 3D (0, 0)

Q: How to know if y is a function of x.

A: function

Q: Four relations are shown below. -4 1 4. 6. 1. III {(1,2), (2,5), (3,8), (2. –5), (1,–2)} y =x² II IV

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Q: Consider the following functions: f(x) = 4 – x², g(x) = 7x + 2 and f + g ()(-1). X-4 h(x) = Evaluate…

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Q: f(x) = 6x-1 ax + b 8x-1 for x 1/1/201

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Q: Find the next 3 terms in each sequence. Identify the constant difference. Write a recursive function…

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Q: Given the periodic function over the period [-π/2, π/2] f(x) = x|x| a. Plot f(x) on the interval…

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Q: Determine whether the relation represents y as a function of x.

A: A function defines a special relationship where single output is obtained from each input . For…

Q: Discuss the continuity of the function.

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Q: 5- -4 -5 -4 -2 -3 -5 -5 0 -5 -4 -3 -2 2. ent

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Q: 2 =1+ %3D V1+f(t) dt, x 21

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Q: Determine the domain for the function of two variables h(x,y) = 9x e V5+y %3D

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Q: Evaluate the function for the given values.

A: Substitution of the points into the function helps to find the required values. The function [a] is…

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: 3. Which representation shows y as a function of x? A C y 3 -5 -1 7. 3 -2 -1 7. B D ((-3,6). (-2,6),…

A: If for a value of x, there are 2 values of y, then the relation will not be a function.    A) In…

Q: 2 2 V 4 +x-

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Q: Identify the relations which are also functions.

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Q: Evaluate S,lz| dz for the curves C1 and C2, both of which begin at a = 1 and end at b = -1. The…

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Q: examine the continuity of the function

A: Given function is not defined at x=0

Q: f (n) = 10 · 2" at n=-2

A: The value is:-

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.