If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 8 cm. (Round your answer to three decimal places.)

Q: dy y(ln y – In x + 1) dx

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Q: (1+ ye* + xye®)dx + (xe² + 2)dy = 0 C = xye" + 2y+ x Option 3 None of the choices C = xye" – 2y – x ...

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Q: A function f is given, and the indicated transformations are applied to its graph (in the given orde...

A: Topic:- function and its transformation   

Q: Which of the following uses integration by parts? (1) fxcos.x°dx (3) fxlnxdx (2) [x'e*dx - In x dx (...

A: we have to find the integration by parts from the following

Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: An+1 Use the ratio n to determine if the sequence is strictly increasing or strictly decreasing. 2n ...

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Q: What is the differential equation given functions?

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Q: 2 The revenue equation (in hundreds of millions of dollars) for barley production in a certain count...

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Q: /' + y' = siny 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree

A: Given: y'' + y'''' = siny

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A: For the given function

Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx + (...

Q: dy y - 5a* – 3x + 2x = 0 dx 2y = 5z + 6z? – 4z ln z + cz 5y = 2z' + 4z? - 6z In z + cz O Option 1 O ...

A: We will solve the given differential equation.Below find the solution in the image.

Q: dy - y – 5a* – 3x? + 2x = 0 dx - 2y = 5x + 6x2 – 4x ln a + cx 5y = 2x + 4x? – 6x ln a + cæ %3D Optio...

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Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: 5. Find the absolute maximum and absolute minimum values of f(x, y) = 3xy-3x– 6y+1 on the closed tri...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

Q: The integral expression J 2x sec( 5x) tan (5x) dx can be evaluated using integration by parts of the...

A: Given that: ∫2xsec(5x)tan(5x)dx

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

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Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

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Q: Let i = (43, –203, 8301). Find the cross product i x 37v. The answer is simple, and you do NOT have ...

A: v→=(43,-203,8301)v→×37v→ =37(v→×v→)In cross product of vectors formula is goven as ( a→×b→=|a||b|sin...

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A:   ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1 dt...

Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

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Q: 18. The points (3, 0), (x, 0). (x, ). | are the vertices of a rectangle, where x 2 3, as shown in th...

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Q: 7. y = x², y = 6x – 2x²

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Q: Solve the following problems below about derivative. Simplify your answers if necessary. 1. A three-...

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Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector ...

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Q: representing all ellipses having its centers at the origin and transverse axis X. z (wv" + (v)*] + u...

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Q: 8. Trace of (BA)²

A: Given :A=024-25-4431028336-43B=11121314125-201370214649  

Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

Q: Which of the following describes a plane perpendicular to the vector n = (2, 1, -4) and contains the...

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Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

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Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: Find the inverse function of f. f(x) = 5 + 7x

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Q: y = C1e¬ª + C2e¯2# + x y" + 3y – 2x + 2y – 3 = 0 y" – 3y – 2x – 2y+ 3 = 0 - - Option 1 Option 3 y" –...

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Q: Find the value of 6dx x2 + 1

A: Use simple integrations concept. 

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is b...

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Q: The piecewise function f represents the prescribed minimum withholding tax of a person whose monthly...

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Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has ...

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Q: answer

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Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: Determine whether or not the angle between the two vectors below is the right angle. You need to wri...

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Q: Evaluate

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Q: Find the area bounded by y = x2 – 2x – 3 and y = x + 1.

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Q: The inequality a ob < 0 imples that the angle between the two vectors is O obtuse O the right angle ...

A: From given information