78. Show that the following limit does not exist: xy³ lim (x,y) (0,0) (3x² + 2y³)²

Q: y = √x - 1

A: We can find the derivative sing limit in the below steps.

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A: Evaluate the limits.limx→∞tan-1ln1x2+2e-x

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A: The objective is to list down the elements of A.

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A: Let's find limit of given function.

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Q: Find the length of the curve r(t) = (ln(t))i + (2 t)j + (t²) k from t = to t = e.

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Q: 4. [secx tan x cos(secx) dx

A: A detailed solution is given below.

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A: The displacement (in feet) is given by the function: s(t)=-2t2+4, where t is in seconds.

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Q: MAKE AN EXPLANATION FOR THIS

A: For a differential equation dydx=fx,y, the dependent variable is yand the independent variable is x.

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Q: 1. y' = e²x-y

A: Given y'=e2x-y

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Q: y = x²y + 1

A: To differentiate the given function.

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A: The solution is given below

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Q: 4. For the vectors à = and b =, calculate a. à.b axb b.

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Q: 2. (5 points) Consider the transformation T: R² → R³ defined by T [2] = X 2x - Y 3x+4y (i) Show that…

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Q: Market Share The following figure shows the devastating effect the opening of a new discount…

A: 05:38   640 441 4   Applied Calculus for th...   Chapter 2.6 Problem 8E   Problem   Market Share The…

Q: DO THIS TYPEWRITTEN AND ORIGINAL FOR UPVOTE

A: The solution is given below

Q: A B Which of the following functions satisfy x²dy+ y(x + y)dx = 0 with y(1) = 1 ? 3x²y = 2x + y x²y…

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Q: y²dx + x(x + y)dy = 0

A: This question is based on Solution of Homogeneous Differential equation.

Q: 3. f(x) = -2 x+1

A: The function is  f(x)=-2x+1

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A: Given, f(x) = 3x3using function f' defined by the formula(a) f'(x) =limh→0f(x+h)-f(x)hf'(x)…

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Q: 6. √tan x 1 - sin² x S₁ - dx

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A: Solution is given below:

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Q: Find the exact value of tan(sin¯¹()).

A: