Compute f(c+ h) – f(c) at the indicated point. f(x) = 5x2; c= 8

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

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Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: The function f(x) = Vx – 2 + V4 – x is.

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Q: State the equation of f(x) if D = {x = R] x * f(x) f(x) f(x) f(x) = = = 2x+1 3x - 2 x + 1 3x + 2…

A: Topic = Functions

Q: Find the local extreme values of the function ƒ(x, y) = xy - x2 - y2 - 2x - 2y + 4.

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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: c) f(x) = 3x – 2 5 3メー2 51

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Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: 5. State the equation of f(x) if D = {xER\x - and the y-intercept is (0, ;) 2x+1 x+1 f(x) : f(x) а.…

A: Equation of the function

Q: B. Find and classify the extreme points of function f(x, y) x* +y-4xy-1.

A: Maxima minima of two variables function

Q: c) f(x) = 2* + 2 for all x e R

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Q: (c) Discuss the maxima and minima of f (x,y) = x + y3 – 3x – 12y + 20.

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Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

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Q: Find the critical points of the function f(K)-7x2-14x.

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Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: If f(x)=1/5x^5 - 3/4x^4 - 4/3x^3 +60, then what is the set of c value for which f has a relative…

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Q: Find the domain of the function f(t) = V1- 21 – 3Vī+ 6.

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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 value of a so that f(x)= x2 + a has a range of [-2, ∞).

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

A: Given that: f(x)=x3-3x2-9x

Q: Find the linearization L(x) of the function at a. f(x) = x4 + 6x2, a = −1

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Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: State the equation of f(x) if D = {x = R | x = }} and the y-intercept is (0,2). x + 1 a) f(x) = 3x+2…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (a) f(x) = 2r3(3 – 4x)

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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 positive critical point of the function f (x) %3D x4 + 7 x =

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Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

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

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Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: (c) Find f-1. f-1(x) = X , x20

A: We plug f(x)=y then switch x and y. f(x)=x+4y=x+4x=y+4

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

A: Given function :

Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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

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Q: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

A: Compute f(c+h)−f(c) at the indicated point. f(x)=4x^2 ; c=5

Q: The interval in which the given function is decreasing is at y = x3 – x2 – 5x – 4

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Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: of the function. + 3y + 11

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Q: Compute f(c + h) – f(c) at the indicated point. f(x) = 7x²; c = 5

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Q: B. Find and classify the extreme points of function f(x, y) = x + y - 4xy-1.

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Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: The fixed-points of f(x) = (x² + 2) a and

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Q: Find the x-values of the stationary points of the function  f(x) = x^4 + 4x^3 - 4x^2 - 24x

A: Given: f(x)=x4+4x3−4x2−24x

Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

Q: Find the maximum or minimum value of the function. f(s) = s2 - 1.2s + 16

A: f(s)=s2-1.2s+16Formula for the equation isf(x)=ax2+bx+cx=-b2aSo, s=-(-1.2)2  =0.6