Which is the differential equation of the family of ellipse with center at the origin and major axis along the y-axis.

Q: b. Z Z-3

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A: Integral

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A: To differentiate the given function.

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Q: Use the spreadsheet to answer the following questions. 83 1 2 Put m Hein 5 x fx 57 C GP Answer: B 47…

A: Here, not that 82 value is at the intersection of the B column row 2.

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A: Given: 0.9x0.9

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A: Ode

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Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

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Q: Q4: Solve the following integrals:- dx ³-2x² (1) dx (2) √ √2√9-1² (3) fx² sinxdx (cos-14x)² 1-16x²…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

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A: To find out the diameter of the water bottle in millimetres.

Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D&lt;0so, this quadratic…

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

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Q: 3. Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) = 2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A: We can solve this as follows:

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A: We can find the domain and ranges in the below steps.

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Q: 1. Perform the indicated operation and 2+3i (1) 4-2i a. 2 b. (- 1 + √√-3) (1)

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Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: The equation y² = cx is the general solution of

A: We have to find the differential equation.