(y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y +4x) с 1 In x (y=²₁x) - = c 4x

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A: Given  v = lnxy + ex+y We have to determine  ∂2v∂x∂y.

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Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

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Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: Solve the following. Choose five In(x+2) dx 1. S 2x+4 2. fx² ex dx 3. f tan³x dx 12 dx 1+9x² x-2 5.…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and h(x)dx= -5 Ⓒ [²(f(x) + g(x) +…

A: Give∫13 f(x) dx = 5, ∫03g(x)dx=7, and ∫13h(x) dx = -5

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Q: y=Arccos (x²)

A: I am attaching image so that you understand each and every step.

Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

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Q: Numerical Integration: c2 S 1 √x 1. =dx

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Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: Consider the solid bounded above by x² + y² + ² = 2 and bounded below by z = √√x² + y². Set up a…

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Q: If given integrand is x² cos 2x dx and dv is equal to cos 2x dx, what is v?

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Q: 2. fx²ex dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

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Q: Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

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Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

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Q: 3. The Critical Point of y = xe-*

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Q: (c) (d) sin 3x lim z0 tan 3r lim (In(sin 2x) - In(tanz)) +0+z

A: Here we have to solve the given limits.

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Q: 8. Find the area between y = sinx cosx and y = sinx, over the interval 0 <x<T

A: Given y=sinx cosx &amp; y=sinx between the limits x=o to x=πTo find area between two curves:

Q: 5. Use the cylindrical shell method to determine the volume of the solid obtained by the revolving…

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Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under Prove your…

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