Suppose we want to form an interpolant at equally spaced points xo = 0, x1 = h, and x2 = 2h of the function f(x). Write down the polynomial, and determine how the error scales as h → 0.

Q: Sketch the domain of the f(x, y) = ln((x² + x² – 4)(16 – x² – y²)) |

A: Recall:  Domain of the function:           The domain of the function is the set of all values for…

Q: Calculate M6 for f(x) = v2x over [2, 5].

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Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

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Q: Find all antiderivatives of function:  f (x) = 9x8

A: Anti-derivative of a function is given by the integration of the function.given function f(x)  -f(x)…

Q: given f(x)=x4-8x2+2, find all x-values such that f(x) has horizontal tangent lines

A: Compute the derivative of the given function.

Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

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Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

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Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: Зах + 3 for x -2

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Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: Find the average fave of the function on the given interval. f(x)= 3x^2+4x, [-1,4]

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Q: Find the local and absolute extremum for the functions over their domain: 5. f(x) = vx2 + 8x + 20

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: Find the linear approximation of the function below at r = -1 and use it to approximate f(-0.8). -7x…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: For the function f(x,.y,2) In (8x2 -7y4 +2xz2), find f, fy, fz, and fz

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Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: Find the roots of the function f(x) = (2x − 1) · (x 2 + 2x − 3) with x ∈ R.

A: Here we have to find the roots of the given equation  f(x) = (2x − 1) · (x2 + 2x − 3) with x ∈ R Now…

Q: Show that f (x) = 2x − 18 is invertible. What are the domain and range of f−1?

A: Given: f(x)=2x-18

Q: Find the critical numbers of the function  f(x) = x3 + 6x2  - 15x

A: Solution -  Given function is given as- f(x) = x3+6x2-15x…

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: The function f(x) = x²e*- ex has a root in [0,2]

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Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

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Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: . The function f(x, y)= 8x' - /4x* + 3y* is homogenous in x and y of degree -. The function f(x, y)=…

A: Here we have to find the degree of homogeneous function

Q: Find f'(a) for x2 f(x) = x + 6 at a = 3.

A: Given function :

Q: Proceed as in Exercise 51 to calculate F'(0), where 3x + 5x* + 5x +1 F(x) = (1+x +x*/3 +x/³) : 8x9 –…

A: Given function is Fx=1+x+x43+x533x5+5x4+5x+18x9-7x4+1. First multiply the numerator.…

Q: For f(x)=12x¹-44x² −8x³ + 2x² −6x² +72x² −24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A: The function given is as follows: fx=12x10-44x9-8x8+2x7-6x3+72x2-24x+8 We are asked to find the…

Q: Calculate M6 for f(x) = √7x on [0,2]

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Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

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Q: Find the absolute extremum values of f(x) = x² – 3x + 8 over the interval [1, 3].

A: First we find critical value and then use first order derivative test.

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: Find f '(a) for f(x) = 3 − 2x + 4x2

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Q: Find the critical numbers of the function.   f(x)  = x3 + 6x2 -15x

A: Critical numbers of a function are the values of x for which its first derivative is zero or…

Q: Find the polynomial f(x) for which x· f(x – 1) = (x – 3) · f(x), Væ E R. -

A: Given, x.f(x-1)=x-3.f(x),  ∀x∈R put x=0 in equation 0×f(-1)=-3f(0)f(0)=0 put x=1…

Q: Find a and b so that the function 2.3 – 5x² + 2, x -2 f(x) = ax + b, is both continuous and…

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Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: 16. Let f(x) = x² + 10x + 28 m, find m if the function only has 1 (ONE) x-intercept. -

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Q: For f(x)=12x" – 44.x' – 8x° + 2x' – 6x² + 72x² – 24.x +8 , compute f(2),roots of f(x) and plot for…

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Q: Find f for the function z = - 3x6 0 02-30x4 ex ax = ex 7x8 1 8 6x 02-02-63 x = 6xy + 4y2.

A: This question can be solved using the concept of partial derivatives.

Q: Find the local extrema of the functionf(x)=x2+x−2x−2.

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Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1