
A table of values of a function f with continuous gradient is given. Find C ∇f · dr, where C has the parametric equations below. x = t3 + 1 y = t3 + t 0 ≤ t ≤ 1 x\y012019214572928

1. Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is not conservative, enter DNE.) F(x, y) = (yex + sin(y))i + (ex + x co

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What is the general solution of the differential equation xdy  ydx = 2x(x^2 + y^2)?
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Determine the relative extremes of the indicated function a) f(x; y) = 1/x + xy − 27/y
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1. The production of a chemical satisfies the following differential equation (dP/dt )= ((20)/(1 + 4t)^ 2 ), where t is time in days and P is the amount in moles. (a) Use integration by substitution
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Approximate r'(2.1). Explain the meaning of r'(2.1) in the context of this problem. r(1.8)=1125, r(2)=1053, r(2.2)=985, r'(2.2)=320
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A combination of direct or joint variation with the inverse variation in a mathematical statement or equation is_.
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I need help finding the left and right behaviors the x intercept the vertical asymptotes and the horizontal asymptotes and the left and right END behaviors
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Suppose we know the following information about the function f. •the domain of f is (−∞,−1)∪(−1,∞) •f(0) = 0, f(1) =1/2 •f′(−1) is undefined, f′(0) = 0 •f′(x)>0 on (−∞,−1) and (0,∞). ,
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what to do if you're struggling to complete mathematical methods exams even when you've gone through the content ?
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I'm trying to solve a differential equation where I am solving for the general solution which is a non homogenous solution. I'm given y''+y'6y= 12e^3t + 12e^2t.

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The integral from 1 to 4 of g(x) = 7. Using properties of integrals, find: integral from 1 to 4 of (g(x)  x). The answer is 0.5 but I cannot figure out why.
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Select either the minimum or maximum function. Identify a task  personal or professional  that could be modeled mathematically through your chosen function. Explain how the chosen function can be us

Exercise is attached.

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Please read the attached file
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please check the attached file below

4 Question about Differential Equation

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How does Easter brook prove that likening a Mars mission to Lewis and Clark’s expedition is a false analogy?
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Represent the following as a differential equation and solve using Laplace Transforms: A resistance in series with an inductance is connected with an e.m.f ( ). If the switch is connected at =0 and di
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The question is in the photo
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Name at least two general ways how to check cartesian for Gauss' theorem, if the normal vector point outwards.

Name at least two general ways how to check cartesian for Gauss' theorem, if the normal vector point outwards.