1. y(x³ – y)dx – x(x³ + y)dy = 0

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A: Given that: (3u+3uv-4)dv+(v+1)2du=0

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Q: Problem 2. The curve x2/3 +y?/3 = a²/3 is called an astroid. (a) Graph the curve in the coordinate p...

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Q: PART I. Find the general solution of the following differential equations using FOLDE or FOBDE. ( a....

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Q: Located the absolute extrema of the function on the closed interval. 4. f(x) = x3 -x² ,[-1,2]

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Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get th...

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Q: Use a substitution method to evaluate the integral

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A: Derivative of f(x) is given by

Q: Find the most general antiderivative. S(-6 cos t) dt 6 sin t + C -6sin t + C -6 + C sin t sint + C

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Q: 4 2 17 (x, v) dy dr with dæ dy. Rewrite

A: Here we have to rewrite ∫04∫√x2 f(x,y) dy dx with dx dy.

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Q: shoni all wiork using L hopial A23456789 lim रउडडाऊ

A: Solve the following

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A: Given:- A radioactive substance decays exponentially. A scientist begins with 180 milligrams of a ra...

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A: Newton's law of cooling

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Q: Find the mass and center of mass of the thin rod with the following density function. x? P(x) = 4 - ...

A: Solution is given below:

Q: A box with a square base and open top must have a volume of 143748 cm3cm3. We wish to find the dimen...

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Q: Solve the equation. Check your solutions.   90/x−90/(x−5)=−1/4   The solution set is ? (Simplify you...

A: Topic = Functions

Q: prove the following identities 1. (sect − sin(π/2 − t))(sec(π/2 − t)−sint) = tant − tantsin2 t 2.(...

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Q: The number (n) of members of an AFL football club increases over time (t weeks) according to the rul...

A: Given,           The number (n) of members of an AFL football club increases over time (t weeks) acc...

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Q: Consider the two interconnected tanks shown in the following figure. 2 gal/min 0.5 gal/min 1 oz/gal ...

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Q: Find the mass and center of mass of the thin rod with the following density function. P(x) = 4 – for...

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Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Determine wh...

A: We have to tick the true statements about the third order polynomial f(x).  

Q: In each part, a point is given in rectangular coordinates. Find two pairs of polar coordinates for t...

A: Solution is given below:

Q: Approximate the area under the graph of f(x) and above the x axis with recatangles, using the follow...

A: GIVEN: f(x) = 8x + 2, from x = 3 to x = 5

Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one decima...

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Q: 2. (y – x + xycot x) dx + xdy = 0

A: Given that: (y-x+xycotx)dx+xdy=0

Q: Compute the derivative y = dy %3D dt 2t - 7 y = 7t- 3

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Q: The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 second...

A: GIVEN: speed of car = 120 km/h Time period = 30 seconds

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per hour an...

A: Given:- A circle is inside a square. The radius of the circle is increasing at a rate of 1 meter per...

Q: For the function fx) = 3x-2x -3. find 0). Then find f(0) and f"(8) T"00-1(Simplity your answer) Sele...

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Q: Find the derivative of the function g(x) 4 – 2x g'(x)

A: We have to find the derivative of the function g(x) 

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat...

A: We use linear approximation to find the desired result.

Q: Find all antiderivatives of -6x for n # -1. The antiderivatives are of the form:

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