The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = tw square units (2_ 4l O A(e) = square units 3 3 O A(w) = 3w2 – 4w square units A(w) = 4w² + 3w square units A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length O P(t) = e – 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units p() - 8, 1 upits

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Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

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A: To Determine: Find the points of local maxima and minima for the function…

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A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

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Q: Can i get help step by step?

A: f(x) = 20 x3 - 3 x5 differentiate f(x) w.r.t  x f'(x)= 60 x2 - 15x4

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A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

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A: Please see the explanation below

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A: We will find what (e-l) (4) means in this situation as following.

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A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

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A: Total costs, C(x)=750+20xTotal Revenue, R(x)=140x-x2

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A: Given: C(x)=0.2x3-25x2+1531x+25000

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Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns

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A: Given Total cost C(x) = 850 + 30x and Total revenue R(x) = 140x − x2

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A: Please refer to the image below

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Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

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Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

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A: Profit, P = (Sale price per unit - average cost per unit) x Number of units = [2,000 - (40,000/x +…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.