1) Find the absolute maximum and minimum for function f(x,y)=x²-xy+y²-6y-4, on the domain -4≤x≤2, and -2≤y≤1.

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

A:

Q: 4. What is f(a + b) if f(x) = 3x² − 2x + 5 5. Given the piecewise function if x≤3 f(x) = 2x+1,…

A:

Q: Consider the function f(x) = x* – 4x³ + 4x? + 4

A: To investigate whether the optimal points are global or not.

Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: fx) = (x³+2x² + x-1)

A: We have the given function as fx=-13x3+2x2+x-1         ⋯⋯1 A relative maximum point is a point where…

Q: Given the piecewise function: 4x + 12 x<-2 - 1<x f(x) = -2x + 6 -2 What is the relative maximum?…

A: We first sketch the function

Q: Q4/ Find the absolute maxima and minima of the function on D, where f(x, y) = x2 + y2 +x?y+4 and D =…

A: We will find out the required absolute maxima and minima.

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: For f(x)=12x¹0 −44x² −8x³ + 2x² - 6x³ +72x² -24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A:

Q: Determine the global extreme values of the f (x, y) = 12x - 4y if y≥x-7, y ≥-x-7, y ≤ 7. (Use…

A:

Q: Q2. Maximise f = 34x, +29.x, +32.x, subjected to: 8x, +2.x, + x, < 54 3x, +8x, +2x, <59 * +x, +5x, <…

A:

Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: The function f(x)= 2x² + bx+c has a minimum value of 4 and an axis of symmetry x= V3. Determine the…

A:

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Find the range of the following functions. a f(x) = 5x+1, domain (xe R. -5 ≤x≤5) b f(x)=4-2x, domain…

A:

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

A:

Q: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2