Verify that the given differential equation is exact, then solve it. 10x 24y 16y 5x (3) dx + X y 4 X y OB. The equation is not exact. + 1 dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The equation is exact and an implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant. (Type an expression using x and y as the variables.)

Q: Find y" by implicit differentiation. 2x³ + 5y³ = 2

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Q: (2x-1) dx 2 x (x-1) In (x²-x)

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Q: Find the derivative of the function f(t), below. f(t) = ln(t⁹ + 4) f' (t) = =

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Q: Consider the following function. f(x) = ln(5 + 7x) a. Find the full power series of f(x) centered at…

A: The solution is shown below-

Q: Find the derivative

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Q: F(x,y) = 1 - e^-(x+y). I need to find the partial derivative defined by this expression, how do I do…

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Q: Find the point(s) of intersection 2x + 7y = 10, x-1 7 (x, y, z) = (if any) of the plane and the…

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Q: Evaluate each of the following. Show a hand written solution

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Consider f(x) = x²(7 - x)5. (a) Find f'(x) and factor your answer completely. f'(x) = 67228x³ -…

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Q: Let f be a function with f(x) > 0 for all x. Let g = 1/f. (a) If f is increasing in an interval…

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Q: Suppose y = sin(-5x² - 4x + 3). We can write y = sin(u), where u dy du dy d.x get dy da = dy du du…

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Q: 1. Let v (4, -2,-4) be a vector in R³. (a) Find a unit vector in the direction of v. (b) Find a…

A: Given vector v→ = 4i -2j -4k

Q: E) y = 3x² ln(x)

A: Given :

Q: An investment company pays 8% compounded semiannually. You want to have $23,000 in the future.…

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Q: Consider the function f(x) 1 - 7x a. Find the Maclaurin series for f(x). f(x): = ∞ = n=0 JI Interval…

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Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

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Q: f(x) = cos² X-T 2 ; g(x) = sin(x) +ln(cos(x)); k(x) = cos(√x - √e) ln(√x - e); h(x) =…

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Q: 4. Compute y' where y = 06x² - 6x 6x - 6 O4x - 3+1/2 04x-3-1/2 ONone of these 2x³ 3x²+1 x

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Q: What is the general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

A: The given differential equation is:dydx=cos(x) esin xcos(y)

Q: Find the derivative of y = x²ª dy/dx =

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Q: D) f(x)= In x+2

A: Calculate differentiation for            f(x)=ln(x^3)/(x+2)

Q: Use the graph of the function f(x) shown below to answer the questions. -3 -2 -1 Determine the x…

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Q: so what is the answer for xi and f(xi)?

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

Q: Find y" by implicit differentiation. 2x3 + 5y³ = 2 y" = 2x² 512 X

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Q: 2 Find the average rate of change of g(x) = 7x² + on the interval [-3,4]

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Q: F'(x) = x³ +8√√x; _F(1) = −1.

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Q: Consider the following series. Answer the following questions. Σ (x + 7) n 2n n=0 1. Find the values…

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Q: K Rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation…

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