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A: As per our guidelines we are supposed to answer only one question.
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A: We have to find the gradient
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A: NOTE: Refresh your page if you can't see any equations. . to find the total cost function, take…
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Q: Find the maximum rate of change of f(a, y, z) tan(6z + 4y + 2z) at the point (- 4, 3, - 6).
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Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y
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Q: Find the minimum rate of change at (2,-2,0) and it's direction for f(x, y, z)= =. zy² H in the…
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Q: Suppose that the temperature in a given region is given by T(x,y)=200xy(1-x2-2y2) . Suppose that you…
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Q: The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to…
A: see the attachment for answer
Q: Q4) If Z-y , Determine the first order partial derivative (w.r.t, x) and (w.r.t, y)
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Q: Find the indicated partial derivative. f(r, y, :) = c=v="; fzyz
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Q: Let y=2x^2+7x+4. If Δx=0.3 at x=5, use a linear approximation to estimate Δy. Δy≈ ?
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Q: Find the maximum rate of change of f(x, y, z) = tan(7x + 3y + 6z) at the point (4, – 5, 2).
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- Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.The cost of a product with marginal cost function M (q) = q - 3q2 + 100q is 7500 lira for 10 kg. 20 kg of this product. what is the cost?The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is $20,000. Find the cost function C(x). C(x)=_________________________
- For the cost function C(x)=40+x-1/2x^2 find the marginal average cost when x=2Given the cost function c(x)=140 + 0.2x^2 for producing x item. Determine the marginal cost function:Consider the marginal cost function C′(x)=400+8x−0.01x^2. a. Find the additional cost incurred in dollars when production is increased from 150 units to 200 units. b. Find the additional cost incurred in dollars when production is increased from 500 units to 550 units.
- The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3The marginal cost of a product is modeled by dx/dx = 14/ (14x + 9)^1/3 where x is the number of units. When x = 15, C = 180. (a) Find the cost function. (Round your constant term to two decimal places.)C = (b) Find the cost of producing 70 units. (Round your answer to two decimal places.)
- The marginal cost of a product is modeled by dC/dx= 16/∛(16x+9) where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) C = (b) Find the cost (in dollars) of producing 60 units. (Round your answer to two decimal places.) $Find the cost function for the marginal cost function. C′(x)=0.03e^0.02x; fixed cost is $8The marginal cost of producing the xth box of light bulbs is 5 −x/30000, and the fixed cost is $20,000. Find the cost function C(x).