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A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…
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A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither. (a) 2x…
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Q: n=5 Task 2: Find the point on the curve y = x² closest to the point (0, m + n), %3D where m is the…
A: m+n=8+5=13The point (0, 13)let the point on the curve be(h, k)y=x2k=h2distance between two points(h,…
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A: As you mentioned 2,3 and 4 solved
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A: We need to write a non-recursive formula.
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Q: Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf
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Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…
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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…
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Q: 2y Find the directional derivative of f(x, y, z) at P(5, 2,-4) in the direction from P to Q(4, 3,…
A: To find the directional derivative of the given function.
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Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2
A: Note: students has mentioned only 3 question no so I solved accordingly
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Q: Question 2 Given: y = (sin x) , determine y'/y. O a (sin a)" [cot a+ (1+ ln x) (In sin æ)] (E) None…
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Please answer these sub-units using Chain Rule. Thank You!
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- Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.This week a factory is producing 50 units of a particular commodity, and the amount being produced is increasing at the rate of 2 units per week. If C(x) dollars is the total cost of producing x units and C(x) = 0.08x3 − x2 + 10x + 4 , find the current rate at which the production cost is increasing.Find the number of units x that produces a maximum revenue R in the given equation.
- Consider the following real-world problem: Suppose that the population of Memphis is 22,400, and 60% of the population are susceptible to contract a serious illness from a very contagious bacteria that was introduced as a form of biological warfare. The remaining people have no reaction to the bacteria. Assume the susceptible people are equally mixed throughout the population. On January 1, 2022 (time t=0), the number N(t) of people who had contracted the disease was 180 and was increasing at the rate of 39 per day. Assume that N’(t) is proportional to the product of the numbers of those who have caught the disease and of those who have not. Write the differential equation that models the physical situation and solve for the exact answer.Find f(x) by solving the initial value problemA company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is the number produced. If the price on the competitive market for a bunny this size is $5.00, how many should the company produce to maximize its profit?
- If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x, will maximize the total revenue in dollars?Sec 2.3 Question 6 If, in a monopoly market, the demand for a product is p = 1700 − x and the revenue is R = px, where x is the number of units sold, what price will maximize revenue?Find f(x) by solving the initial-value problem: f'(x) = 3e2 +2x2; f(0) = 5
- Find the double root of the nonlinear equation set below by one of the numerical methods.A company uses the model R(x) = 35x^2 - 5/3x^3, 0<=x<=10 to relate its revenue, R, in millions of dollars, to the amount of money, x, in millions of dollars, it spends on adverising. find the point of diminishing returns for this model $____millionConsider the production function: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?