Let f(x) = 3 – Va +1 and g(x) = x – 2. -D3 Then (fo g)(3)%3D (f o g)(x)3D Question Help: MMessage instructor. D Post to forum Submit Question

Q: 2 f(x,y)=x +xy+y' +3x-3y+4

A: Given: The function is  fx,y=x2+xy+y2+3x-3y+4 To determine: The critical points of the given…

Q: If u is a differentiable function of x, how do you find (d>dx)(un) if n is an integer? If n is a…

A: u is a differentiable function of x.  We have to find ddxun

Q: a. Show that Y is a biased estimator of 0 and con b. Find the MSE of Y. c. Find a function of Y that…

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Q: VAI a. b. Given y =(x-2)²(3-x). Find the C. d. stationary points, interval of increasing and…

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Q: erform the (+, J,n)analysis f oy local maxima

A: The function f(x)=e-x2. To determine the local maxima or local minima of the function, fx=e-x2. Take…

Q: 10 11. Determine the value of | f (x) dx given 4 | f(a) dæ = -1, | f (x) that dx = and f (x) c dx…

A: By using integration properties.

Q: f(x) -2 2 -2 Given f(x)dx = 3.9, estimate: a) f(x)dx = b) f(x)dx = c) The total shaded area =

A: Given integral -2 to 0 f(x) dx =3.9

Q: Consider the following. 1 3 2x + 3x + 2 Find the relative maxima, relative minima, and points of…

A: The given function

Q: V8.2 is the value of a function y = f(x). Identify the function. Then approximate this value by…

A: Identify the function, then approximate this value by using linearization of the function at an…

Q: Find the critical point of the function f(x, y) = 1 – x – 6x² – 8y + 3y? %3D | This critical point…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The function f(x) : (4x + 8)e has one critical number. Find it. %3D

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Q: Find the critical point of the function f(x, y) = - 8+ 2x 4x2 + 3y + 4y² This critical point is a:…

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Q: Using the linearization of f(x) = Arcsecr; approximate the value of Arcsec1.7. 19 2 Ол V3 3 20 V10 2…

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: f (x)> 1+3x +x a) Fincd Ts, a (x) for a E R. b) Expana and simplify T3,a (x) as much as possible.…

A: given function fx=1+3x+x3 a) find T3,ax for a∈ℝ b) expand and simplify T3,ax as much as possible.…

Q: B3(a): Find the critical points of the function f(r) = 8a? – 16z. B3(b): Apply Rolle's theorem for…

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Q: = y6 – x³ has any absolute Determine whether the function f(x,y) extrema on R² (i.e. it is defined…

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Q: x+1 5) Find the interval(s) where f(x)= is decreasing. %3D Vx² +1

A: Consider the given function

Q: Exercise: let fe(x) = 0 E Then find L{Fɛ(x)]}-

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Q: e midpoint rule (n = 5) to approximate S x -0.5

A: Here we have to calculate the approximate ∫-0.52.5x3 dx by midpoint rule (n=5)

Q: 2. Let g(x) = "(x² – 4x + 6) dx. Is the graph of g concave up or concave down at x 1? Justify your…

A: Explanation of the answer is as follows

Q: 2. Let r(x) = Vx –2. Show your solution as you answer the following. Is the function differentiable…

A: To find the differentiability of r(x) at x=6, use the derivative of the first principle,…

Q: The function f(x) = x² + 1 is continuous in the interval |-2,4| and differentiable on the…

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Q: 10 r10 If f(x) dx = -7 and f (x) = 1 then determine 1- f(x) dæ showing working.

A: Given, To find:

Q: I + + ·2+/ + VAN + -3 -1 0 1 2 3 The graph of f is shown above. Approximate ³ f(x)dx using the…

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Q: g) lim f(x) = %3D

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Q: (p) lim F(x)=? (q) lim F(x) =? (r) F(-E (s) Within the domain [-5, 5], where is the function F(x)…

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Q: 1. Find the domain and range for the function z = f(x, y) where f(x, y) = ln ((4x² - y²)(x² + y² -…

A: To Find: Domain and Range of the function f(x,y)=ln((4-x2-y2)(x2+y2-1)).

Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Given are the functions f(x) = −3x4 + 7 g(x) = −x2 + 2 The objective is to graph the region in the…

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Using antiderivative rule,

Q: 15 f(4) = 15, f' is continuous, and f'(x) dx = 19, what is the value of f(5)? %3D inuoc 23

A: We have to find function value

Q: f(x) = 5x4 − 2x5,    F(0) = 8 Find the antiderivative F of f that satisfies the given condition.…

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Q: The functionh (x) has a range {y\y> -3, y ER} what is the range d the function j (x) 3h (2 (x- 1))…

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Q: Given Solution Correction Example: g(t) = gʻ(x) = t-} g'(x) 2 = -t 25 X g'(x) = -t -2 gʻ(x) = 3t3 dy…

A: Explanation: Given that: Concept:

Q: Find and interpret f'(2) and f''(2). f(x) = - 2x? f'(2) = f''(2) So at x = 2, f(x) is | decreasing v…

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Q: F(x) is an antiderivative of x^-2+x^-1 what is the value of F(1)-F(-1)

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Q: sider the function f(x, y) = x² + 2xy – 6x – y² + 2y + 1. %3D e box below, enter the maximum rate of…

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Q: х-4 ,x5 Given: f(x)= , find the value of k that will make f continuous on (-0,) kx2 – 24x + 46 , x>5…

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Q: 1. (x) is increasing. 2. f'(x) < 0 3. The graph of fis concave downward. C2 Cs C6 C7

A: Since you have posted multipart questions in this question i can do first three subparts as our…

Q: 4 If f(1) = 14, f'is continuous, and f '(x) dx = 19, what is the value of f(4)? %3D f(4) = %3D Need…

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Q: Consider the following. 1. 3x2 + 8x + 1 Find the relative maxima, relative minima, and points of…

A: first we find the critical points

Q: Product Rule d d ƒ ( x ) g (x) + dx d f dx g ( x ) ƒ(x) dx ·g 3 + 2 х + 5 3x" - 8х + 1 7 8 х Ex.2) /…

A: Please rate

Q: critical point of the function f(, y) = 2xy+ x² + 2y².

A: Critical Points of 2xy+x2+2y2:  Critical points are points where the function is defined and its…

Q: f (x.y) =xy(3-x-3) f local extrena value=?

A: The given question is f(x,y) = x y ( 3- x - y) We can expand f to

Q: Cives f(x.g) = メー2メラーリメy+5 Find the Ccritical points oo f and all detevmine the nature of each of…

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Q: ponit) Let f(x)dx = 4, f(x)dx = 5, f(x)dx = 5. Find f(x)dx = and (4f(x) – 5)dx = %3D

A: We have  ∫-9-3fx dx=4 ,∫-9-7fx dx=5  and ∫-5-3fx dx=5   Find ∫-7-5fx dx=? We can write the above…

Q: Evaluc F. ar,where F(x,y)=j ana C isthe part of the graphof y= 12x³ – x from (2,2) to (– 2, Select…

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Q: You want to determine if f (x) dx converges or diverges. You find a function g(x) such that 0 < f…

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Q: (ii) Consider the function f(x) = ln(e² – 3). (a) Find the domain of f.

A: given  y = f(x) = ln(ex -3)