Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the other 33% has decayed into lead. How old is the rock? The rock is billion years old. (Round to three decimal places as needed.) w

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A: To find IF

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A: the given  general solution  y=c1+c2e3x⇒y=c1e0(x)+c2e3x

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A: Given vectors are as  a→=2i-j+3kb→=(5-1)i+(1-1)j+(-1-1)k     = 4i-2k c→=i+j+3k    c) Projection of…

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A: See this solution in below.

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

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Q: Determine the degree, order, and whether it is linear or non-linear (y") ³-4y²=105x

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A: Given, c+25

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A: Topic:- application of integration and solution of differential equations

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A: x-intercepts of a function on a graph are the points where y has value zero i.e., when the curve…

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A: F(x,y)= 64 -8x^2 - y^2

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. A. B. E. y" - 3y' = 0…

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Q: Goals 12-13-14 In Exercises 1-16, find (a)domain D, (b) holes, (c) vertical asymptotes, (d)…

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Q: of Fx) = 5x²-x-2, find the following. f(1) = F-1) = f(a) = f(-a) = fa+1)= 2f(a) = f(2)= R(₂²)= [K]²…

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A: Graph:-

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Q: ating factor (IF) of the equation: - 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy = 0 e of the…

A: We will find upon multipication which factor make above differential equation exact .

Q: Hint: Use the half-angle identity cos² solution X - 1 (1 + cos2x) + C

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Q: 11. The value of k such that the line y = 4x - 3 is tangent to the graph of f(x) = kx² is

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Q: dy What is the IF for solving the linear equation: x dx O A. O O m L O O O E. X2 3x 2 MIN -Lnx 2 3x…

A: It is a linear differential equation

Q: 1. Given that lim f(x) = -1 and lim g(x) = 8, find the following limits. H-3 →3 f(x)5 +3 (b) lim -3…

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Q: 1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x))…

A: This question can be solved using the concept of limits.

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Q: sin t t lim R t-

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Q: Question 20 Obtain the differential equation whose general solution is y = C₁ + c₂e³x A. B. D. E. y"…

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