1. Determine the following using the graph off provided below. If the value is infinite, specify oo or -∞o. If an answer does not exist, explain why.

Q: Use Stokes' Theorem to evaluate fr. F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk where is the triangle…

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Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ -…

A: Here we have to use the concept of derivatives

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

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Q: Solve the following a) 2d²y_dy 3y = 25 sin 2x dx² dx d²y b) - 4 - 3y = 25 sin 2x dx² dx c) d²y dx² +…

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Q: 5. 39+5 dy (59-7)2

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Q: Let S be the surface with equation given on the image. a) Write the equation of the traces of S on…

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Q: A farmer uses a lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

A: Given R=700-400e-(x/100)

Q: x5 (2 – x²) 5 dx

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Q: Evaluate S (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: A cylindrical can, open at the top, is to hold 800 cm³ of liquid. Find the height, h, and the…

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Q: 8) A rectangle has a perimeter of 8 inches. What should be the dimensions so that its area is a…

A: Given query is to find the dimensions for maximum area.

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

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Q: 2. 2 ydx + x(x² In y-1)dy=0

A: Solution is given below:

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Explanation of the answer is as follows

Q: Calculate[r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt he product directly and…

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Q: Obtain the Lagrange interpolating polynomial for a certain function f of which we know that: f (-1)…

A: Lagrange interpolating polynomial: The Lagrange interpolating polynomial is a degree polynomial that…

Q: A farmer uses x lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

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Q: 5. If a function f(x) has the same value at the endpoints of a particular interval, will there…

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Q: Scos2x (2 cos2x-1) dx

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: Let f(x) = 3x5 - 5x³.

A: As per our guideline we are supposed to be answer only first three subpart of the question you can…

Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: 2. Find are Ətəx

A: The given function is v=(3t-x)e-2t ................................ (1)

Q: 1. If z = f(x, y) has continuous second-order partial derivatives and x = r cos 0, y = r sin 0,…

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Q: Find the equation for the tangent and normal lines for f(x) at the specified points. Show your…

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Q: Find dy/dt using the given values. dy dt y = x² - 6x for x = 1, dx/dt = 3.

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Q: Calculate[ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating the product directly and then by…

A: r1(t)=6t i+ 4t2 j+ 4t3 kdr1dt=6 i +8t j +12t2 kr2(t)=t4kdr2dt=4t3 k

Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled…

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Q: Find the absolute extrema of f on [-2, 3] if f(x) = x² - 6x - 1 O √5 O 2

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Q: • [F. dr. Evaluate F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0 st≤1

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Q: 5 4. What is of 12%? 12 3 5. What is - of 1% ? 4

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Q: Solve the differential equation in Higher order differential equations (D^2-D-2)y= cosx PLEASE…

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Q: dw the functions w= -5x²-3y².x= cost, and y=sint, express as a function of t, both by using the…

A: Use chain rule for derivative

Q: - restaurant depends on the number of its regular cus

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Q: yzdxxzdy + xydz =

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj 山供 得 三 -5+ 5 X 三 -5+ ||| 三 5 BE 州 X x

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Q: Find Vf if f = 2 2 2 x² + y² + z² V.

A: Given,            f=1x2+y2+z2To find : ∇f

Q: S CHO dx 13-x

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Q: Find a formula for the function f(x) such that f′(x)=tan⁡(x)x and f(5)=8. f(x)=  +∫   t= t=

A: This is a problem related to integration of the function. Derivative is given now by performing…

Q: Activity 3. Problem Solving. Solve the problem. Show and illustrate your solution. The ladder 7.5…

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Q: Find the general solution to the differential equation. xy x-6 Preview TIP Enter your answer as an…

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Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and then…

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Q: Evaluate the limit 5 + 71 lim 2 - 5x

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Q: Use Stokes' Theorem to evaluate for F. dr. F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle…

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Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q - 0.25q² dollars, where q…

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Q: A table of values of an increasing function f is shown. X 10 14 18 22 26 30 f(x) -11 -8 -1 1 3 7 30…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: Consider the function g defined as g(x) = { Evaluate the following limits. 1.) lim g(x) 3x+2 X-2…

A: limit of a function f(x) at a point x=a exists iff limx→a-f(x)=limx→a+f(x)

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

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