Copy and complete the following table. (f° g) (x) f(x) g(x) x – b. ? VA c. ? d. Va |x|,x in [0, c0)

Q: I find (fo g)(x) by replacing each occurrence of x in the equation for – with,

A: To find:                    (f o g)(x):   We know that this is the composite function;   So,…

Q: (a) Find the domain and range of the following functions: (i) f(x,y) = e*+ sin(x² +y²) (ii) 1 f(x,…

A: A scalar function is a rule that is used to associate a number, or quantity with a particular point…

Q: f(x) = e*, approximate f(0.8)

A: Given: f(x)=ex To find: The degree of the maclurin polynomial.

Q: Q: Find the fx and fy as functions if 2ysin (x +5xy) f(x. y) =: y+ cosx cos (y² + 2x²)

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Q: Q:6/ If the function f(x) = cos x find f',f".f" %3D

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Q: a) Give the values: 11 |y=f(x): | 150 | 392 | 1452 | 2366 | 5202 Evaluate f(g) using Lagrange's…

A: Given data: x0=5, y0=150x1=7, y1=392x2=11, y2=1452x3=13, y3=2366x4=17, y4=5202 By Lagrange's…

Q: | f(g(x))g'(x)dx = r9(b) f(g)dg. g(a) 8. Prove a

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Q: -25 -3e c) s+2

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Q: ーTくIく0 f(r) 三

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Q: Q3 /Find the value derivative below af then dw xw? .2 f = y + Sin(zw)' |I

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Q: Find y" for the function y = sec(t)

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B) x? +y? 4|

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Q: The units of f'(t) are m3/s. What does f(t) measure? Give a real world scenario that could be…

A: f'(t) = df/dt unit of it is m^3/sUnit of t or dt is sec So, unit of f(t) must be m^3.

Q: Does the function I(x. y) is harmonic ? Q5) Evaluate: So So x+1) dzdydx

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Q: Find g(x), f(xly); *

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Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, co0) b. (-∞, 1] U [3,…

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Q: Determine whether the following statement is true or false. — [√³] = √f'(x). dx If y = f(x), then

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Q: f it is known that f(x)dx = 10, and f(x)dx = 5, find the value of f(x)dx. %3D

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Q: Assuming F(r) = f(g(x)) and G(r) = g(f(x)), use the table to compute the following quantities: %3D

A: Solution Given Consider the table below Assuming F(x)=f(g(x)) and G(x)= g(f(x)) We need to compute…

Q: 3) -24 e 7)子, sinst?

A: We need to solve given problem:

Q: , v(0) = and Find the position function, F(1), given that F(0) = a(t) = .

A: We have to find position vector

Q: (a) If 0= 0, find E [Z (t) ] and E[Z? (t) ]. Check Z (t) for stationary

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Q: Use the equation given below to find f"(I f(x) = sec(x) sec (x)tan(x)

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Q: Let Pbe the circular function that sends a real number t to the point (cost, sin t). Which of the…

A: Follow the procedure given below.

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: O Find the coordinate of the point under the root function y=Jx en the interval (o,3) into equal…

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Q: Use the following information to determine g(t). g"(t) =f, t>0, g(1)= 0, g(2)=D0

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Q: 8. Given f(x,y)= y°e 5x , evaluate the following higher order at point (0,1). a) answer: -30 ôxôy?…

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Q: TT If f(t) = sec(t), find f" 4 (:)-[ TT f" 4

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Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

Q: What is the range of the function y = – sin 4 (x+ ) + 3? 0-4sys2 02sys4 O-4<ys-2 oys-2

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Q: Determine the value(s) of x for which the line tangent to f(x) is horizontal. (Enter your answers as…

A: Given,

Q: The function (shown below) has a value between t = a and t = b only. A a b.

A: Observe the straight line between a and b.

Q: Q2: Find g,, By, and gy for the function. g(x, y) = x?y + cos(y) + y sin (x)

A: Answer

Q: Speedometer readings for a vehicle (in motion) at 4-second intervals are given in the table. t (sec)…

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Q: Given that f(x) = cos?(7x), find f'(x) as a function of æ. f'(x) =

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Q: Q1/Find the domain and range for the functions. a) y=x'cos()seC{x) +1 b) y= P+2+1

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Q: c) Find the inflection points. х, у) . (smaller x-value) %3D

A: Given that: The equation of the function if f (x) = 3 sin (x) + 3 cos (x) , 0 ≤x≤2π . The critical…

Q: dy Assume that the equation x² + xy + y? = 1 defines a function y = f(x). Find. dx

A: Differentiating the equation with respect to x

Q: Use the equation given below to find f"("). 4 f(x) = sec(x) IT 4 II

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Q: Suppose y=f(x) is an even function. If , f(x) dx =7 and 25 So f(x) dx 25 16, find the value of S…

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Q: Find the domain and range of f(x,y) = cos-'(x – y)

A: This question is related to inverse trigonometry.

Q: ex+ e^ The value of S* flIn(x)). dx is: Let f(x) =

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Q: ii) nd the all the vertical 1- f(x) = cot x , 2 fC

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Q: af af Find and for the following function. ?x ду 9xy In (5y) f(x,y) = e af ?х II

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Q: f(g(x))g'(x)dxr = [ "9(b) f(g)dg. g(a) Prove

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Q: d dx? Explain your answer. If f is a continuous function, what is the value of dx

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Q: e(f.g) where f(t) =1– 3t´, g(t)=t-

A: The function given are ft=1-3t2 , gt=t-t3 on V=C0,1 To determine f·g , Use the integral for the…

Q: fand sketch it, for f(x, y) = x²

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