Identify the end behavior of the function f(x)=-x° + 3x² +x² – 3x to the left and to the right (rises/falls) (rises/falls)

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: Find the absolute extreme values of the function on the interval. F(x) = Vx, -27sxs8

A: We will first differentiate the function to find the critical points.

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

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Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: Q3: Find the extreme values of the function f(x, y) = xy + x2 - y2 – 5x – y + 5.

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Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

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Q: Consider the function: f(x) = 3x2 + 12x – 180 %3D - The y-intercept is at y The x-intercepts are at…

A: Given function is : f(x) = 3x2 + 12x - 180 Let, y = f(x) = 3x2 + 12x -180 To determine the…

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

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Q: 4x² + y² Consider the function f(x, y) : 2

A: Consider the function fx, y=4x2+y22. i) Draw a cantour map of f for k=0, 1, 2, 3. ii) Using the part…

Q: For what value of x does the function f(x)=1/3 x^3 - 4x attain the point of inflection in the…

A: Inflection points are points where the function changes concavity, i.e. from being concave up to…

Q: Find the point of inflection and concave of the graph of the function. (If an answer does not exist,…

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Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

Q: Q6:- Find the extreme value of the function f(x, y) = 3x2 - 2xy + y2 - 8y.

A: First, let us find the partial derivatives of the given function as shown below:…

Q: x2 + x – 2 At which value of x does the function f(x) have a removable x3 – 3x2 + 2x -…

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Q: Q2// A :- find and sketch the Domain of f(x, y)=v(x-4)+y' -9 + V4-x²-y° 2

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Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: Find the point at which the line f(x)=-3x+1 intersects the line g(x)=3x+7

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Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

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

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

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Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: d²y 2. Determine of the function y = dx2 x²cos (x)

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Q: Vx +1 2 – x – x2 5. Find the domain of the function f(x) : -

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Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

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

A: Given: Calculation:

Q: 2-2x find (fif) G) to use f Cx) = x

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Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

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Q: Q3: Find The Domain of the Function. Inx|- y = sin

A: Explanation of the solution is given below...

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: 2v Use the Quotient Rule to differentiate the function f(v)= +2

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Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: x2 + x – 2 At which value of x does the function f(x) have a removable discontinuity? g3 – 3x2 + 2x

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Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

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Q: nd the y coordinate of the point of inflection of the function f(x)=x3-x2

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Q: Q. 11 Find the inflection point for the function f (x) == - sx² + 2x

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Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: Find the domain of the function. (Enter your answer using interval notation.) k(x) =, Vx+4 x - 2

A: Given function k(x) = x+4x-2TO find : Domain of the function