Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

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

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Q: (a): Find the critical points of the function f(x) = 6x? – 12x. -

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Q: -f(x) = x* – 6x³ –+ Vz7 %3D f'(x) = %3D id x5

A: Given,            f(x) =72x4 - 6x3 -2x5+x73

Q: Find f(4) using forward, backward and central difference of : (3 – 2x)2 f(x) = x2 Step size = 02 %3D

A: We have to find difference .

Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

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: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

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

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Q: 2. f(x) = 9x2 - 1 at x = 1

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Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Find the area of a triangle bounded by the y axis, the line f(x)=4−(6/7x) and the line…

A: Formula Used: Area of triangle is :                                   Where,  b is base of triangle…

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Find the local extrema of the function f(x) =r³ – 3r² – 9x.

A: Given that: f(x)=x3-3x2-9x

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 value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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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 critical point for the function ƒ(x)= x² – 3x is

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Q: Find f(4) using forward, backward and central difference of: (3 – 2x)2 f(x) = %3D x2 Step size = 02

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Q: Find f'(4) using forward, backward and central difference of: (3 – 2x)² | f(x) = x2 Step size = 0.2…

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Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

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

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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: Find the most general antiderivative of f(æ) = -5x + (1 – a²)-1/2, where -1 < x < 1. F(x) =

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Q: Find the point at which the line f(x) = 2x – 3 intersects the line g(x) = 5x – 6. %3D

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Q: 3. Differentiate. x²e* f(x)%3= x² + ex

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Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: Q2: Find f-(x) 2x - 3 f(x): I +2

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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: f(x) = 2x² + 8x at the point x = 2. %3D

A: Given data:     The given function is: f(x)=2x2+8x   The expression for the differentiation of the…

Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

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Q: z² – 4x + 4 Differentiate f(x)

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Q: f(x) = x²+6x+5 2-1

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Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: 1 d.x x/1+ x6

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

Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

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

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Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: Find the critical point of the function f(x, y) - 4+ 7x – 5x² + 6y + 7y?

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Q: {: (x-2)2 if 1sx<3 f(x)%3D -3x+14 if 3sxs7

A: The given function is: f(x)=(x-2)2     if 1≤x&lt;3-3x+14 if 3≤x≤7 Note that, the function is defined…