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Q: [Q2] For the following function Ax)=2e!.5x 1- Obtain the first and the second derivatives for x =3 a...

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Q: The area of the top side of a piece of sheet metal is 9 square feet . The sheet metal is submerged h...

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Q: n/4 3 + 5 cos? e de cos? e

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Q: 1.

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Q: Use rules of integration and substitution to find the following exponential and logarithmic integral...

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Q: 4 The partial fraction decomposition of can be written in the form of x2 – 36 f(x) g(x) where 6 x + ...

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Q: dx

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Q: Suppose you want to approximate v8 using three terms from a Taylor series. Compare the accuracy of t...

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Q: A fence 8 ft tall runs parallel to a tall building at a distanceof 4 ft from the building. What is t...

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Q: Calc 3 Question Section 13.8

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: 3. Which of the following integrals in spherical coor- dinates can be used to calculate the volume o...

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Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the L...

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Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,700 − 1 2 ...

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Q: Find the point lying on the intersection of the plane x + (.5)y + (.25)z = 0 and the sphere x2 + ...

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Q: EXAMPLE 4 Change of variables determined by the integrand Evaluate х — у х+у+1 - dA, where R is the ...

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Q: At what points is the function y = (9x-7) continuous? 1/3 Describe the set of x-values where the fun...

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Q: Surface integrals using an explicit description Evaluate the surface integral ∫∫S ƒ(x, y, z) dS usin...

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Q: Evaluate the double integral dy dx 4. 2.

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Q: Divergence of vectors fields Find the divergence of the following vector field. F = ⟨12x, -6y, -6z⟩

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Q: 2 -72 Use a Taylor series to approximate dx. Retain as many terms as needed to ensure the error e is...

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Q: Suppose that the amount (in gallons) of water in a tank is given by f(t) = 60e^−.1t, where t is in h...

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Q: Arc length surfaces of revolution

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Q: derive

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Q: A printer has a contract to print 100,000 posters for a political candidate. He can run the posters ...

A: Definition used – Maxima and minima using derivatives – By equating the first derivative to 0, we fi...

Q: Find a polar equation for a parabola that has its focus at the originand whose directrix is the line...

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Q: A force of F 30x – x° N stretches a nonlinear spring by x meters. What work is required to stretch t...

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Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the independe...

A: Given functions are

Q: please solve using la'hopsitals rule, Thank you!

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Q: 1 1 dx exactly and show that the result is Evaluate Then, find the approximate value of the 4 1+ x2 ...

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Q: I am very confused! Please show the step-by-step solution with explanations! Thank you so much!

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Q: 3/5ketch, E Valuate & reverse the order of in tegration 2. ol X dy

A: We are looking at the following curves simultaneously: y = ex y = 1 x = 0 x = 2

Q: Paddle wheel in a vector field Let F = ⟨z, 0, 0⟩ and let n be a unit vector aligned with the axis of...

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Q: Does there exist a function f such that f(0) =-1, f(2) =4, and f'(x) ≤ 2 for all x?

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Q: Please solve using La'Hops Rule, Thank you!

A: We first try to find the limit by substitution

Q: Find the particular solution y'=4x3+3x2 if y(0)=4

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