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Q: V3 B) If sinh 0 Find cosh 0, tanh 0, coth 0. %3D 2
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Q: 3 2 10) Find the arc length of f(x) = x3 + 10 On [0,8].
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Q: 23// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places).…
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The final answer should be 7.854
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- Let G(t) = (1 - cos t)/t2. a. Make tables of values of G at values of t that approach t0 = 0 from above and below. Then estimate lim t-->0 G(t). b. Support your conclusion in part (a) by graphing G near t0 = 0The percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to 2004 could be approximated by p(t) = −0.07t + 5.0 if t ≤ 3 0.3t + 12.0 if t > 3 where t is time in years since 1995. Compute lim p(t) t→3− Compute lim p(t) t→3+Assume that V (t) = V is constant and I (0) = 0. (a) Solve for I (t). (b) Show that lim t→∞ I (t) = V/R and that I (t) reaches approximately 63% of its limiting value after L/R seconds. (c) How long does it take for I (t) to reach 90% of its limiting value if R = 500 ohms, L = 4 henries, and V = 20 volts?
- t(x)=6x/ ln x 10 What is lim x →+∞ t(x)?How can I find A, k, and C with the following information? L(t)=-(A/k)e^(-kt)+c Lim as t approaches infinity of L(t)=30. L(0)=6. L(1)=10.A process creates a radioactive substance at the rate of 1 g/hr, and the substance decays at an hourly rate equal to 1/10 of the mass present (expressed in grams). Assuming that there are initially 20 g, find the mass S(t) of the substance present at time t, and find lim S(t) as t approaches infinity
- Find limn→∞ Z 30sin2(1 − 3e−x/n)e−x/2Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find the equation of the line tangent to the graph of ff at x=2. y=?1. Evaluate: lim x→2 (x^2 − 4x + 4)/(tan^2(x2 − 4)) 2. Use the Intermediate Value Theorem to show that f(x) = cos^−1 (x) − e^x has a zero in the interval [0, 1]. 3. Use the Squeeze Theorem to evaluate: lim x→0+ sin(ln x) csch(cot x).