Which representations show y as a function of x? II. 111. 12 12 -12 14 14 16 -14 18 A I and II only B l and III only Cl only D I only

Q: 15 which of the following rule defines y as a function of X? Y = √x 16 which of the following rule…

A: Let's solve.

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

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Q: G Lt A={1,3, 5} B = 2.7.9 7 R=f (1,2), ( 3, 7) ,13, 11) , (5, show RI A B not function %3D

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Which of the following represents a function? A = {(2, -3), (1, 0), (0, 0), (-1, -1)} B = {(a, b)|b…

A: This problem is based on the concept of relation and function. So I used basic rules to identify a…

Q: The tables below show three functions. f(x) g(x) h(x) 2 -1 96 2 20 1 6. 48 3 2 18 1 24 4 -20 3 54 2…

A: Given that:

Q: (b) Show that U W. (c) Show C[-1, 1] = U W directly. That is, any function f E C[-1,1] can be…

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Q: Use a formula to express w as a function of t if w = . 5+6 and s = + 8.

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Q: az? if If f(x) = %3D then the bx + 2 æ <1 values of a and b such that f is differentiable on if…

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Q: 1.4 For which values of a €R is the function ax? f(r + iy) = (a²r - ary) +i + ay ) 2 tire funetion

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Q: Which of the following sets contain functions that are linearly independent? А. (3х — 1, х + 2, 4x)…

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Q: Consider the function z = f(x,y). Some values for z are given in the table below. %3D y = 10 15 20…

A: Given: z=f(x,y)   y=10 15 20 25 30 x=12 100 90 80 70 60 18 110 100 90 80 70 24 125 115 105…

Q: Consider the function f(r, y) whose contour graph is pictured below: -10 10 15 425 Determine the…

A: We are given the following contour graph. Here, we need to determine the signs of fx(P), fy(P),…

Q: 20. If f(x) = 1/x and g(x)=1/Vx , what are the domain of f, g, f+g, f-g, f.g, f/g , g/f, fog and gof…

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Q: Which representations show y as a function of x? I. II. III. f(x) y 12 12 -12 14 14 16 -14 18 I and…

A: 1) Here x values are not repeated.  So, y is a function of x.  2) In the set of x and y, x values…

Q: Find and simplify the function h(x, y, z) = - xy at the given value (4, 6, 31). 12 17 12 31 24 31 31…

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Q: Q6: If f(x) eR[a,b] and cell. We define g(x) on [a+c.b+c] by g(y)f(y-c). Show that geR[a+c,b+c] and…

A: Given : f(x) is Riemann integrable on a, b and c be any real number. And, g(x) be a function on a+c,…

Q: What value(s) of c, if any, will satisfy the IVT for the given function f and the given value m, on…

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Q: 3: Assume that g(s) is an increasing function and define f(x, y) = g(x² + y²). Show that the angle…

A: Use definition of angle between vectors and gradient of function

Q: (b) The following table gives the values of an empirical function f(x) for certain values of x. Find…

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Q: Suppose that A(x) = B(x) R

A: Given,                A(x)=∫α(x)B(x)f(u)du                     ...(1)

Q: 1.х, 4x,7x,10х, 13х

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Q: . Which of the following is a property of the function y = Inx? Bln (") = Inu A. Inuv = vlnu C.lnvu…

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Q: Find the function f(x) = interpolating the data {(0,2), (1, 1)}. %3D z+6

A: A detailed solution is given below.

Q: Find the linearization of f(x) = Ya at a = 8. What does the linearization approximate for the number…

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Q: Q2. Determine all values of a, b, c, d, e for which the following function is a cubic spline (a(x –…

A: Given that, fx=ax-22+bx-13    x∈(-∞,1]cx-22    x∈[1,3]dx-22+ex-33…

Q: (a) Are there any conditions under which the discriminant function is a linear function of x? (b) If…

A: Question:

Q: The equation e - Auw In(v) – Bvw In(u) = e defines u as a function of v and w near the point (u, v,…

A: Ans:The equation euvw-Auw lnv-Bvw lnu=edefines u as a function of v &amp; w near the…

Q: 6. Which of the following function lal are NOT linear function? L y= 7x -1 IL. y- m. y = 6 IM. y-…

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Q: Determine whether ? is a function from Z to R if a. ?(?) = ±? b. ?(?) = √?^2  +  ? c. ?(?) =1/(?2−4)

A: Solution:-

Q: 2. State whether or not each of the diagrams defines a function of A = {a, b, c} into B = x, y, z}.…

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Q: - A function f is a rule that assigns to each element x in a set A exаctly the following tables…

A: We know, A function is a rule that assigns  to each input value a unique output value.  Hence, A…

Q: Find and simplify the function h(x, y, z) = xy at the given value (4, 6, 31). 12 17 12 31 24 31 4 31…

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Q: Which of the following is the domain set of the function f (x,y) = arccos( x²+ y -3)+In(x²+y² -3)?…

A: Given function,  f(x, y) = arccos(x2 + y2 - 3) + ln(x2 + y2 -3)  To find the domain suitable with…

Q: 1. The set of ordered pairs below defined y as a function of x. Which of the following is the output…

A: When (x, y) is a function then x is the input and y is the output.

Q: The tables below show the values of four different functions for given values of x. f(x) g(x) h(x)…

A: We plot these points one by one, for the first table, for the second table for the third table,…

Q: The graph of the function w = f(x, y) is shown below. (a) Assume that x and y are functions of a…

A: Given :w=fx,y

Q: Which of the following statement is wrong? 1 (a) f (x) = is convex on x E (-1, 1). %3D 1-x2 (b) The…

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Q: Which of the following is not aproperty of the function y = e*? A. e"e® = eu+v B.(e")" = euv C. e =…

A: To check which of the following is not a property of the function  y=ex. A eu ev=eu+vB euv=euvC…

Q: Find a function r(t) that describes the line segment from P(1,6,1) to Q(0,6,3) (inclusively). r(t) =…

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Q: -3 Consider a function f : R? → R? for which f(-1,3) = (5,9) and f'(-1,3) - The local linearization…

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Q: 2. U = {11,22, 33, 44, 55}. V = {1,2,3,4}. uRv if and only if u - v is even. Draw an arrow diagram…

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Q: 4. Which of the following functions is homogenous? a. f(x,y) = x² – xy + y² b. g(x,y) = x³ – 2xy +…

A: The function f(x,y) is homogeneous function of degree n for scalar t,if f(tx,ty)=tnf(x,y).…

Q: 5. Which of the following functions f(x, y) are homothetic? 2(xy)? (b) (xy)? +1 (a) (xy)? +1 (c) x²…

A: (a) The given function is: fx,y=xy2+1

Q: Let X ={2, 4, 5} and Y ={1, 2, 4, 6}. Which of the following arrow diagrams determine functions from…

A: (a).The arrow diagram is,

Q: Which of the following tables defines y as a function of x? B A X 1 2 3 4 y 5 6 7 8 X 1 1 2 3 y 5 7…

A: it is known that, a function f is a rule that assigns to each element say x of a set A exactly one…

Q: Select the equations that define u as a function of w. A. 3w−4u = 8 B. 1/u + 1//w = w   C. u/w +…

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Q: Q.3 An experiment gave the following values : v(ft/min) 350 t(min) It is known that v and t are…

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Q: A contour map for a function f is shown. Estimate the value of fy(4, 29) 40 400 30 320 240 20 160…

A: Given: Contour map for a function f : To find: fy4, 29.

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.