8. Theorem 1.7.4 x -le* dx is convergent if and only if n > 0.
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Prove the theorem
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- Find the first 5 terms of {b_n}={n/e^n}.https://openvellum X P Pearson Sign In 429344443/6274031?X-Blackboard-Expiration=1670068800000&X-Blackboard-Signature-OgD2YqWeu7aUcoj%2FY 31 4) 2/2 tpi.bb.pearsoncm X 1 - 117% + H » X P Pearson Sign In The cost (in dollars) of producing "x" units of a certain product is given by C(x) = 2x³ 4x² - 128x + 756 a) Write the equation that indicates "the cost is equal to $500". Then, write all terms on one side and equal to zero. Show the resulting equation here: M b) Use factoring to solve the equation from part(a). Answer: "The cost is equal to $500 when units are produced" c) What is the interval of values of "x" that result in a cost lower than $500? Answer in one of the following ways: "The cost is less than $500 when the number of units produced is between "The cost is less than $500 when the number of units produced is less than "The cost is less than %500 when the number of units produced is greater than = 0 andexpand e^2x in powers of (x-1)
- The lifespan X (years) of a species of pig has pdff (x) = 3x2e−x^3 , 0 < x < ∞.What is the probability that a pig will live at least 1 year? Given that it lives 1 year, what is the conditionalprobability that it will live for at least another year?express n-1 Σ((k^2)/n) k=1 in closed form.i got =(4BC^(-1))*(1/3)C
- (S > 1)Find the local minima/maxima of -x + ln x if it existEntered Answer Preview (). sqrt(x)*[e^(x^4)]*[C[(x^2)+1]^5)*[1/(2*x)]+4*(x^3)+ Væe"( (a? + 1)° 1 10x 5 + 4x° + 2x x2 + 1 [(10*x)/[(x^2)+1] Use logarithmic differentiation to find the derivative of the function y = Vx e* (x² +1)'. y = (sqrt(x)e^x^4)[(x^2+1)^5(1/(2x))+(4x'