Solve the ff. first order DE using Homogenous Equations. C. 3(3x² + y²)dx - 2xy dy = 0

Q: Calculus Find the radius of convergence for the series (2n)! (n!)2x¹.

A: ∑n=1∞ 2n!n!2xn

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Q: Find the equations of all lines having a slope -1 that are tangent to the curve y=1/x-4

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A: Given query is to find indicated limits.

Q: ✩ lim √25x² +279x+690 15x² +976 соех 1 2 O

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) 5.…

A: The given equation is; 6y2dx - x(2x3+y)dy=0.

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A: We have to find the asymptotes and domain of function.

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Q: State in interval notation where the graph is differentiable. A) (-∞, -1) U (-1,3) U (3,00) B)(− ∞,…

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Q: ow the steps below for the given function. (Do not use mixed numbers in your answers.) 8x + 5y: we…

A: Given query is to find the derivative by indicated methods.

Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Given query is to find marginal average cost.

Q: 4. (x + y)dy - (2x - y + 3) dx = 0

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution of the…

Q: 3 x² + y² the direction of (−3, −3). Then, Suppose f(x, y) (a) ▼ ƒ (x, y) (b) ▼ ƒ(1,4) = = = 1/77…

A: This question can be solved using the concept of derivatives and vectors.

Q: S x5 ex dx

A: We will use method of integration by parts. We will perform step by step process to finally solve…

Q: Problem 2 There are two points on the graph of the equation y = 2x² +9x² - 60x+12 where the tangent…

A: Explained below

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Q: 27 44. Evaluate cos as cos 12 3

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Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

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Q: In Exercises, solve for y in terms of t or x, as appropriate.51. ln (y - b) = 5t                52.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: lim X->15 x+10 5 x-15 c/+X

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Q: 22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

A: The given figure is:

Q: Question-Solution-Final Answer-Conclusion format) - Generate solution of the first-order…

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Q: xdx √x-2

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Q: Use the formula for nCr to evaluate the expression 4C4.

A: Given: The given expression is:  4C4. n = 4 r = 4 Formula Used: Crn = n!r!(n-r)!

Q: 1. Find the area bounded by the given curves, axes and/or lines a. y²-3x+3= 0 and x = 4 b. y² = x,…

A: 1) Here we have to find the area bounded by the given curves, axes and/or lines. a) y2-3x+3=0 and…

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Q: 3. (6x + y²)dx + y(2x - 3y)dy = 0

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A: Mean Formula The mean formula is defined as the sum of the observations divided by the total number…

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Q: lim S/GX X+10 5 G1-x

A: To evaluate the given limit of the function.

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Q: fe-3t sin4tdt

A: ∫ e-3tsin4tdt

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Q: Find equations of all lines having slope -3 that are tangent to the curve y=3/x-8

A: y=3x-8we need to find the line that are tangent to this curve

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A: Given data, n=50 r=3