Calculate R8 for f(x)=7-x over [3,5].

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 the linearization L(x) of the function f(x) = x^3/4 at x=256.  L(x)=?

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Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: Find f. r0 - VD + Sx), 1) -9 X) =

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Q: Calculate R3 and L3 for f(x) = x² – 2x + 7 over [1,4]. (Give your answers as whole or exact…

A: Solution

Q: S) Is the function given by 2-4x-5 f(x)= x-5 x+1,x25 .continuous at x = 5? Why or why not?

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Q: Find Fxxygy for the function Fory)-J*J€nx-x]

A: We havr to find the derivative.

Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: Find f'(0) for f(x) x = 0. 0,

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Q: 2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

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Q: Find the global extrema of the function f(x)=x3−6x2−15x+100 on the interval [−3,6].

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Q: What is the domain of f (x) = ln(x – 3) + 4?

A: Domain where fx is well defined.

Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: f(x) : 4 6 5

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Q: a. Differentiate f (x) = x²lnx with respect to x b. Proof that f" (2x + 4xlnx)dx = 2e2

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Q: Calculate L4 for f(x)=57cos⁡(x^2) over [2π/4,2π/2].

A: Given, f(x)=57cos(x2)   over [2π4,2π2] f(x)=57cos(x2)   over [π2,π]

Q: The area bounded by the curves f(x) 19x + 9 and g(x) = 19x² +9 is 3.17 square units 0.95 square…

A: Known fact: The area bounded by two curves fx  and  gx from x=a  to  x=b is given by A=∫abfx-gxdx.…

Q: The function f(x) =x -x² – 2x – 1 is increasing over: %3D

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Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: The function f(x) =is 1-z2 Is 9+z2

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Q: Find f'(1) for f(x) = In(v6x – 3).

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Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

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

A: Given function :

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: Find f (x) forf(z) – 1+ 6z.

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Q: Calculate R3 and L3 for f(x) = x² 5x + 3 over [1,4]. (Give your answers as whole or exact numbers.)…

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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 areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

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Q: calculate M6 for f(x)=7(In(x^2)) over [1,2]

A: Given the function f(x) :

Q: - Given f(x)= -, find f(x). 2+x %3D 6.

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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: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: Calculate R3 and L3 for f(x) = x² – 7x + 7 over [1,4]. (Give your answers as whole or exact…

A: see 2nd step.

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Find the absolute extrema of f (x) = x-12x on the closed interval [0, 4].

A: The given function is, fx=x3-12x The interval is 0, 4

Q: Find the linearization L(x) of f (x)=- Vx -5 at a =3. – 5 2.

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Q: find the absolute extrema of f(x)= 4x^2-48ln(x) on the interval [.4, 5]

A: Given function is  f(x)=4x2-48ln(x) Differentiate both sides with respect to x. f'(x)=8x-48x Now,…

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: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

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: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

Q: the antiderivative of f(x)= x3+ 4x2-3x-2+7x3/2-2sinx-11cosx

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Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: find the derivtive of f(x) = x 2

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Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

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