A 10-kg quantity of a radioactive isotope decays to 7 kg after 17 years. Find the decay constant of the isotope. (Use decimal notation. Give your answer to three decimal places.) k = years

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A: Given A1 =7, A2 = 4, A3 = 2 & A4 = 1

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A: To find the length of the equiangular spiral r=5eθ for 0≤θ≤2π.

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Q: 13) Given f(x) = x − 3x Analytically [using calculus] determine the following for the function f.…

A: We can solve the given problem by using the first derivative test

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nidi What is the…

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Q: 10. Solve the inequality (3-x)(2x+1) 2-1 >0 algebraically and graph the solution set.

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

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A: Given Equation of curve  f( x ) = x4 - 5x3 + 7x2 - 9  As we know that , slope of the tangent line is…

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Q: (8) Find the horizontal asymptote and vertical asymptote for f(x) = of your work. can use what you…

A: f(x)= (x-1)/(x2+x-2)  We have to find horizontal and vertical asymptotes

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Q: Find the coefficient for the term afb5 from the expansion of: (3a - 2b)¹1 Answer:

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Q: First make a substitution and then use integration by parts to evaluate the integral. [² ecos(t)…

A: The given integral is:∫0π ecos(t) sin(2t) dt

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Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: Graph the polar curve r = Jo д - 4 - 2 sin 0 Select a curve and use the point(s) to adjust:

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Q: xdx So 0 (1 + x²)² 27.

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Q: 6 2 (0, 3) The graph of f(x) B) lim f(x) = = x→3+ C) f(3) = = 2 (3, 2) (3, 3.141) 2x² +3 sin(x) + 3…

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Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

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