If there is a limit to the function, get it, otherwise state your reason for not having a function. .3 - lim (x,y)→(1,1) .3 - ४

Q: Let h(x,y)=esqrt(y-x^2) Find the domain and range of h and sketch the domain of h.

A: Domain and Range:     Let 'f' be a real-valued function of two variables 'x' & 'y'. Then…

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: Find the point on the graph of z = f(x,y) =x+ y closest to the point (2,2,7). You must show a…

A: Given : z=fx,y=x+y2,2,7.

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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Q: Q21) One of the following is correct for functions the f(x)=1,g(x)= x³ and h(x) = ln(x): a) f(x),…

A: To check the linear independence we shall find the Wronskian for the given three functions. To find…

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

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Q: The graph of the function f(x) is shown below. It consists of a semicircle and two straight line…

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Q: If f(x) = Vx +1 , g(x) = Vx – 1, find the domain of f +g. %3D

A: Domain is set where function is defined

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: determine all values of x at which the function is discontinuous: 1. f(x)=2x/(x^2-1) 2. f(x)=…

A: Given function is  fx=2xx2-1 The function fx is undefined when x2-1=0 which gives x=±1. So, the…

Q: We have a function g(x) = x3 - 2x + 1. Explain why the function can intersect the line y = x in each…

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Q: Let f(x) = Vx +7 and g(x) = x +3 a) Find (2) (2) show work. b) Give the domain of the function (-)…

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Q: Write the composite function in the form Køtx)). [Identify the inner function u - g(x) and the outer…

A: We need to find out functions y=fu and u=gx We need to make a composition of the functions f and g…

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.