Consider the function f(x) = 2 – 3x°, – 3 < x < 2. The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

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A: At x=-2 , y=3  So,  at x=1, y=0

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) x2 – 1

A: Sketching curve and finding extremums.

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A: Given,

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A: Here given function

Q: Find the local minimum value of f(x, y) = 4 + a" + yl – 11ry.

A: Use double derivatives test to find local maximum or minima.

Q: Find any local maximum and local minimum values and sketch the curve: x + 1 f(x) %3D x? – 1

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A: We need to find first and second derivative for this Question to know about local maximum/minimum…

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Q: Find the absolute maximum and minimum of f(x, y) = 3z +y within the domain z² +y? < 4.

A: Use lagrange multiplier.

Q: Find the absolute minimum value of the function g(x) : et x > 0. (7x)

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Q: Show that the function f(x) = e1/2)[(x-µ)/a}° has a relative maximum at x = µ.

A: fx=e-12x-μσ2 Differentiating with respect to x, we get…

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

A: f(x) = ax3 + bx2 + cx + d f(x) = 3ax2 + 2bx + c Now, f(x) = 0  at x = -2, 1 Hence , roots of above…

Q: Find the absolute maximum and absolute minimum of f(x)=e^(−2x) over the interval [−1,3].

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Q: Find the local minimum value of f(x, y) = 4+ xl+yl1 11æy. -

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Q: ) Because f(-1) and f' changes from negative to positive at x = f(-1) = -7e-1 is a local (and…

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Q: Find the local minimum value of f(x, y) = 4+ x³ + y³ – 5xy.

A: Explanation of the answer is as follows

Q: Find the quadratic function f (x) = ax2 + bx + c that goes through (0, 1) and has a local minimum at…

A: Given: The quadratic function fx=ax2+bx+cpasses through the point 0,1 and has local minimum at 1,-1,…

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Q: f(x) = (x – 1)VT – x².

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Q: Determine the values of constants a and b so that ƒ(x) = ax2 + bx has an absolute maximum at the…

A: Given:

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Q: Find the absolute minimum value on (0,infinity) for f(x)=4e^x/x^2

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Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. f(x.y) = x* - 32xy +…

A: Solution:Given thatfx,y=x4 -32xy+8y2-10we have to find all points x,y where fx,y has a possible…

Q: Find a cubic function f(x) = ax + bx2 + cx + d that has a local maximum value of 4 at x = -3 and a…

A: Here we have to find the cubic function that has a local maximum value of 4 at x= -3 and a local…

Q: If f (x) = 3 sin x + 7 and g(x) = 2x – 7, what is the maximum value of f(g(x))?

A: Here given that                          f(x)=3sinx+7             and      g(x)=2x-7 We have to find…

Q: find the formula for a function of the form f(t)=at+b/t with a local minimum at (3,3) and a local…

A: For critical values of f(t), f'(t)=0Critical values of f(t) are t=-3 and t=3So we find f'(t) from…

Q: What value of a makes ƒ(x) = x2 + (a/x)have a local minimum at x = 2?

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Q: f(x) = xln(2x) find the f '(0.5) as well as f''(1) and where is the absolute minimum located/ where…

A: This question is based on maxima and minima of function .

Q: Find the absolute minimum value of the function f(x) = et (0, 0). on

A: Given function f(x) = exx    on   0 , ∞

Q: If f'(x)=x^3-2x^2-x+2, then f has a relative minimum at x=

A: If f'(x)=x3-2x2-x+2, then f has relative minimum at x

Q: The function f(x, y) = -2x² + 4y² - 11 has a local minimum at the point (0, 0). Select one: True…

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Q: Determine the values of constanas a,b,c, and d so that f(x) = ax^3 +bx^2+cx+d has a local maximum at…

A: Given that f(x) = ax3 +bx2 + cx + d has a local maximum at the point (0,0) and a local minimum at…

Q: Find the local minimum value of f(, y) = 4+ x1 + yl – 11xy.

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Q: Consider the function y = 3x - C(In x) where C represents a constant. If this function has a local…

A: If any given function f(x) has local maxima or minima at x=a, then the point corresponding to x=a…

Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…

Q: On the graph of f(x) = cos x and the interval [-27, 0), for what value of x does f(x) achieve a…

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Q: Consider the function f(x) = 4 – 6x?, – 3 < x < 2. - The absolute maximum value is and this occurs…

A: To find The absolute maximum and absolute minimum values of f(x).

Q: Consider the function f(x)=xe^(−5x), where 0≤x≤2. This function has an absolute minimum value=?,…

A: To find critical points we solve f'(x)=0 Use product rule to find f'(x) Then we set each factor…

Q: Does the function f(r,y) = e-(z²+y°) achieve an absolute minimum on D= R²? %3D

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Q: Find the values of constants a, b, and c so that the graph of y = ax + bx + cx has a local maximum…

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