Let y be defined implicitly by the equation dy Use implicit differentiation to evaluate at the point (2, -1). dx (Submit an exact answer.) -x5 - 3y5 + 7x - 2y = -13. Provide your answer below:

Q: Let Find dy || ¹. y = f(x) = arcsin In 7x. dy dx

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A: We need to evaluate:

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Q: 3. Graph the inequality subject to the nonnegative restrictions. Make sure to # the lines…

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Q: 7. Solve the exponential equation. Simplify your answer. Give an exact answer. a) 72x+1 +2 = 15

A: We can solve the exponential equation in the below steps.

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Q: If y satisfies dy dx 2xex², = then (a) y(In e) = (b) y(In e²) = y (0) = 1,

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Q: 8. y'=fln(y²¹) + 1²

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. || y=…

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Q: Find the Differential Equation whose general solution is y = C₁e-¹/² + C₂e-4t O 2y" -9y' - 4y = 0…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: To which of the following will lim x+1 lim x-1X+4 x+1 lim x-1X+3 x+1 lim *4-1X+2 x+1 (x + 1)²…

A: Given, limx→ -1x+12x+22-1

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A: To find the area of the region bounded by the two curves.

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A: y=x2+4x-8

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Q: 2. 6-13x + 5x² 4. m¹m² - 12

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Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

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A: The given function y=x3-48x+1 We have to find its increasing and decreasing intervals.

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A: Derivate the given equation with respect to x and then put the given point.

Q: -9 -8 (-inf,) -7 -6 -5 -4 -3 a. Select an x-value in the first interval, (-∞, - 2/2 ): -2 -1…

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Q: 5) Determine the time it takes an amount of money to triple if compounded continuously

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A: Follow the procedure given below.