Calculus question and answers for October 21, 2023
- Q Find the exact value. sin(17?/12)a) Write the given angle 17?/12 as a sum of two special angles: Enter the combination with the smallest angle first. Enter the smaller angle on...
- Q Let h(t) =t (-8+8/t-5)Determine the derivative of h.h' (t) =____Determine the slope of h at t = - 9.h'(- 9) =___
- Q The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm.a) Use differentials to estimate the maximum error in computing the...
- Q Let f(x) ={(9-7/x)/(x+5)}Determine the derivative of f.f'(x)= _______Determine the slope of f at x = -9.f'(- 9) = ______
- Q Let h(v)= 1/v?Determine the derivative of h.h'(v) =Determine the interval(s) on which h is differentiable. Report the solution using interval notation.h is differentiable on _______
- Q Let f(w) = (-w-8)(6w+1)Determine the derivative of f.f'(w) = _______Determine the interval(s) on which f is differentiable. Report the solution using interval notation f is differentiable on _______
- Q Let y = f(x) and x = g(t). If g(1)=2, f(2)=3, g'(1)=4 and f'(2) = 5, find the derivative of f?g at 1.
- Q Let g(x) = 2 cos(x) - 8 tan(x)Determine d/dx [g(x)]d/dx [g(x)]=
- Q Let h(t) = sin(t)Determine the one hundred seventieth derivative of h.h (??) (t) =?
- Q Let f(v) = 6?Determine the two hundred forty-eighth derivative of f.f(? ?) (v)=?
- Q Let h (v) = -6v + log?? vDetermine the seventh derivative of h.h (7) (v) =
- Q Let f(z) = 7e? sin(z)Determine the second derivative of f.f''(z) =?
- Q Let X and Y be two independent random variables with distribution functions Fx and Fy.(a) Show that ?xy(t) = ? ?x(tx)d Fx(x).(b) Show that ?? cos(tx0dx is a characteristic function.(c)...
- Q If f(x) = In(2x)/x, what is the value of f'(1/2?e) in simplest form?
- Q Given the function f(x)=4x+5, find and simplify the following values:f(a) = __________________f(a+h) = ___________________(f(a+h)-f(a))/h = ___________________
- Q Use the tangent identity to find tan x.sin x = (2?10)/7cos x = 3/7tan x = [?]?___
- Q A radioactive substance decays so that after t years, the amount remaining, expressed as a percent of the original amount, is A(t) = 100(1.3)t.a) What is the half-life for this...
- Q In Exercises 33-42, find the slope-intercept form of the equation of the line that passes through the points. Use a graphing utility to graph the line.33. (5, 1), (-5,5)38. (1,...
- Q Let f(y) = 3 csc(y)cot(y)Determine df/dydf/ dy = ______
- Q Let g(w) = 2w + log?wDetermine the seventh derivative of g.g (7) (w)=___
- Q Continue to go with f[x] = Log[x] So that f'[x]=1/xBut this time come up with a small h so that f[x+h] - f[x]/hcalculates f'[x] to at least four accurate decimals...
- Q Let (u) = log? (u?)Determine Du[f(u)]Du[f(u)]-______
- Q Is 1860 coterminal with-300?a) Yesb) No
- Q Find the first three non-zero terms of the Taylor series about 0 for the func-tiony(x)=?1+2x.sin(3x)by multiplying the Taylor series for ?1+ 2x and the Taylor series for sin (3x).
- Q . Walter drives 7 mph over the speed limit on a suburban street. In the time that Walter drives 4 miles, a car driving the posted speed limit could drive...
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