8. Given the function f(x) = -x³ + x² a) Determine the intervals in which the function is increasing and decreasing and find the coordinates of the relative maximum or minimum.

Q: Let f (x) = 1z1 -중23-22 + 4z -2. Determine at what point f (x) achieves a local max. If there is no…

A: At the point of local maximum, the first derivative of the function is zero and second derivative of…

Q: Find the requested function and state the domain. 6 (g o f)(x) for f(x) = and g(x) = 2-x 6

A: Given : fx = 6x6gx = 2-x

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Evaluate Function  g(3,4) when g(x,y)=x-6y/x^2+y^2 a. -25/21 b. -5/21 c. -21/25 d. -21/5

A: For this problem, we have to substitute the values of x and y in given function g(x,y).

Q: The absolute maximum of f(x) = -2x + 5x215 on [-1, 1] is Select one: а. 3 О Б. 30 С. 1 O d. 7

A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: What type of discontinuity does the function f(x)=xsecx have?

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Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: 1. Find the slope and y-intercept of the line that is parallel to 2x +3y 5 and passes through the…

A: Given : A line which is parallel to the line 2x+3y = 5 and passing through point (1,-1)

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: We have a function g(x) = x3 - 2x + 1. Explain why the function can intersect the line y = x in each…

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Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].

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Q: Find the maximum value of f(x,y) = 84 -x² - y² on the line x + 9y = 82. The maximum value of f(x,y)…

A: We have to find the maximum value of f(x,y)=84-x2-y2 on the line x+9y=82 h(x,y) can be determined…