Estimate P(X > 2)
f(x) ∝ e− √x sin(x)2 where 0 < x < inf
Question l: Consider the function f(x) = sin(parcsinx),-1 < x < 1 and p E R (a) Calculate f(0) in terms of p. Simplify your answer completely fX) sin(p arcsinx) f(o) P The function fand its derivatives satisfy the equation where f(x) denotes the rth derivative of f(x) and f (b) Show thatf0(n2p2)f(m)(o) (x) is f(x). (nt2) (nti) (I-x) (nt 2 e 0 (c) For p E R-仕1, ±3), find the MacLaurin Series for f(x), up to and including the...
4. Consider the function f(x) = sin(x), x > 0. (a) Estimate f(r) - f(A), where TA is an approximation to rr. (b) Estimate Rel(f(A)) in terms of the error Rel (TA). - f(TA 4. Consider the function f(x) = sin(x), x > 0. (a) Estimate f(r) - f(A), where TA is an approximation to rr. (b) Estimate Rel(f(A)) in terms of the error Rel (TA). - f(TA
If y = logga) f(x), where f(x) > 0 and g(x) > 0 are functions of x, find f'(x) On f(x) In g(x) g'(x) Inf(x) B. 8'(x) f'(x) f'(x)8'(x) f(x) OD_1'« n g(x) :'(x) Inf(x) g(x) In? g(x) O E. loga) f(x) ({*) – g'(x) In g(e)) flr
This is a MATLAB question so please answer them with MATLAB steps. Let f(z) = V3z sin(#) and P(z) =r-x-1. 1. Find f(e) 2. Find the real solution(s) to Px) 0. Hint: use the roots command. 3. Find the global minimum for f(x). Hint: plot f over [0,2] 4. Solve f()P. Hint: plot f and P over [0,21. 5. Find lim,→0+ f(x). Hint: make a vector hi make a table [x + h; f(x + h)]". 6. Find '(In 2)....
f(x)=x^2+sin(x)+1/x Find f(0), f(1) and f(π/2) Vectorize f and evaluate f(x) where x=[0 1 π/2 π]. Create x=linspace(-1,1), evaluate f(x), plot x vs f(x) for x is 20 equally spaced values between 11 and 20. Use fplot to graph f(x) over x from – π to π.
Find all values on the graph of f(x) = x + 2 sin x for 0 < 3 < 2 where the tangent line has slope 0.
(0, 1) given by f (x) - sin (). Is f Let f b e the function t on the domain uniformly continuous? Explain. (You may take it as given that sin is a continuous function) Suppose that f [0, oo) -R is a continuous function, and suppose also that lim, ->oo f (x)- 0. Prove that f is uniformly continuous Just to be clear: to say that lim,->o f (x) - 0 means that
1 Let f: R R be a continuously differentiable map satisfying ilf(x)-FG) ll 리1x-vil, f Rn. Then fis onto 2. f(RT) is a closed subset of R'" 3, f(R") is an open subset of RT 4. f(0)0 or all x, y E 5) S= (xe(-1,4] Sin(x) > 0). Let of the following is true? I. inf (S).< 0 2. sup (S) does not exist Which . sup (S) π ,' inf (S) = π/2 1 Let f: R R be...
s (ls points) 1/ Given f(x,>)-xy+e" sin y and P(1,0) a) Find the directional derivative of fat P in the direction of Q(2, 5). b) Find the directions in which the function increases and decreases most rapidly atP e) Find the maximum value of the directional derivative of fat P. d) Is there a direction u in which the directional derivative o f fat P equals 1? If there is, find u. If there is no such direction, explain. e)...
Compute f (x) for f(x)=tan(e-3x + sin 4x + 2) a. f(x)=(-3e-3x + 4cos 4x) sec?(e-3x + sin 4x+2) b. None of the other answers oc f'(x) = sec?(-e-3x + 4cos 4x) d. f'(x) =(e-3x + sin 4x) sec?(e-3x + sin 4x+1)