7. Use the D-Test to Find the relative extrema and or saddlepoints for the function: f(x, y) = 3xy — 2x² − 2y² +14x − 7y-5 Note D= fxx fyy- (fxy)² If D > 0: Then if fxx > 0: relative min If fx < 0: relative max If D< 0: saddlepoint

Q: Differentiate. f (t) = 2/t - 3t3

A:

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: 4. Find all relative maxima, relative minima, and saddle points for the function: f(x.y)= 2x³ + xy²…

A: Given: The function, fx,y=2x3+xy2+5x2+y2.

Q: For males born in a certain country in the year 1991, their life expectancy was 66.4 years. For…

A: We have to solve the given problem by given data.

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: 6. For the function f(x) =x +3x? –2 (a) State the domain. (b) Determine y-intercept. (c) ) Determine…

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three…

Q: If they exist, find the x-intercept(s) of the function f(x)= 3 0(0,00 O O (1,0) O(-11,0), (110)…

A: The function is given by fx = x2-115-x To determine: the x-intercepts.

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)

Q: For a minimum wage job, the total pay ($) received for x hours worked is given by P(x) = 15.74x, for…

A: Total pay ($) received for x hours worked is, P(x)=15.74x, For 0≤x≤80

Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

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Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

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Q: Let fix) = 8x-3x5 Find where f has stationary points. Perform a sign analysis on the derivative of…

A:

Q: 10. Find all relative maxima of the given function. y =x* -8x +16x² +10 A) (0,10) B) (2,26) C)…

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Q: b) y=-4/T O Increasing function O Decreasing function O Neither increasing nor decreasing function

A: