S(x) = x³ – 3x² – 3x + 1

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: Find the point at which the line f(x)=4x−11 intersects the line g(x)=−2x+1

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Q: Find the domain of the function.

A: Given: fx=3x-2x+1 To Find: Domain of the given function

Q: Eliminate the arbitrary constant using any method. x^2y^3+x^3y^5 = C

A: See the details solution in below

Q: The domain D, of the function f (x) = Vx² – 1 is: -

A: The domain of a function is set of values for which the function is defined. The square root is…

Q: 1. f(x) = x 3x-1

A: Domain of a function is defined as the values of x for which the function is defined.

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Find the critical points of the function f(x)3D7X2-14x.

A: Need to find critical points

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

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Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: Find the function that has an output of 16 when x=2, and has zeros 1 and −2i.

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

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Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: f(x) = (x – 3)^2 (3x – 1) Identify the maximum number of turning points.

A: The given function is  f(x)=x-323x-1  We have to identify the maximum number of turning points.

Q: Identify the new quadratic functions f(x) = -4 (x-2)^2

A: Given:       f(x)=-4x-22               =-4x2-2x+4        fx=-4x2+8x-16     This in the form of…

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: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and…

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Q: Find the zeroes of the function  f(x) = x/(x2-1)

A: Answer and explanation is given below...

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

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Q: Show that the function f(x)= x^3 − 15x + 1 has three zeros in the interval [−4, 4]. Do not solve for…

A: The given function is f(x)=x3−15x+1The interval is [−4, 4].To show that f(x) has three zeros in this…

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: Find a polynomial f (x) that satisfies the equationxf"(x) + f (x) = x2.

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

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

A:

Q: Find the local maximum and minimum of the function: f(x)=x^3-9x^2-21x+8

A: Consider the function: fx=x3-9x2-21x+8 Differentiate the given function with respect to “x” then,…

Q: (a) f(x) = 2r3(3 – 4x)

A:

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: 3- Show that the function y = x3 + 3x + 3 satisfy the y" + xy" 2y 0

A: Function does not satisfy the given inequality. See the attachment

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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

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Q: Express the follo lowest form +4 a 2 1-3x S+x

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Q: the function f(x)=x^3-3x^2+5x has neither maximum nor minimum?

A: Consider the given function. fx=x3-3x2+5x Find the derivative of the function. f'x=3x2-6x+5x Put the…

Q: Graph the step function over the interval -2< x< 2. f(x) = [x +3] %3D

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Q: The function f (x) = (x + 6)³ – 2e** has two roots between x = -7 -

A: Solution of the problem as follows

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

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

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Q: Find the inflexion point(s) of f(x) = x²-3x²³

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Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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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 maximum revenue for the function R(x)=356-0.9x^2

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

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Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find all x-intercepts for the function f(x) = 4x−1 −2x+1− 12

A: fx=4x-1-2x+1-12

Q: find the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

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Q: Find the absolute maximum and minimum values ​​of the function f(x)=x2−3x2+1 in the interval [-1/2,…

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Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

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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: The function f(x) = 12 – 6x4 has an absolute maximum value of and this occurs at x equals

A: