Find the derivative of the function. y = In(3x²-x) + 4x

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Q: Question 3 Find the value of the derivative (if it exists) of f(x) = (x-2) 4/5 at the indicated…

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Q: a) lim x-0 9+x-3 x

A: The solution is shown below-

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Q: 4. CO Σ n=0 3 4+1 51-n

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Q: Find the limit lim x (tan x) cos(x)

A: L'Hospitals Rule:

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Q: Find a plane through the points (-2,6,6), (4,4,5), (2,-4,1) Calculator

A: Given :The points (-2,6,6), (4,4,5),(2,-4,1)

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Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.07 cm is to be applied…

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Q: In evaluating 2₁3² (x³ − 1) dx, we make the substitution u O O x³-1 dx (x³ − 1) 3x²

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Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

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Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: The tangent to (2,4) on the graph of a function f(x) is y = 5x - 6. Evaluate f'(2). (a) 5 (b) 4 (c)…

A: We have given the equation of tangent line y=5x-6 of f(x) at point (2,4).

Q: A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia Ix…

A: Solution is given below:

Q: Given f(x, y) = 100x + 80y - 2x²- 4y² - xy Evaluate f(10, 9)

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Q: Consider the function f(x) = 4 2 x² x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

A: Topic = Integration

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Q: Q13 Use the limit definition of the derivative to find the derivative of the following function:…

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Q: Solve the differential equation y` = (196+ y)²

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Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

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Q: 2 Find the average height of the paraboloid z = x +y over the square 0 ≤x≤ 1,0 ≤ y ≤ 1

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Q: The area under the curve of the function f, using the Riemann sum, will be exact if we let the n or…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

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Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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