cos O If f(z)= sin 0 then examine the analyticity of f(z).

Q: Use the product rule to differentiate the function h, where a and b are real numbers. h(x) = e¯ax…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: Let f(x)=tan−1x. Characterize the interval (a,b)(a,b) such that f-1 (a,b) is empty.

A:

Q: The principal part for a) 5 b) 2 for xo of f(x) = 2 + 5+ sinx with respect to ↓

A: Given that .Let .We need to find the principal part of f(x) with respect to g(x) as x→0.We will use…

Q: sec? x etanx dx c² x e tan x dx V1 + etan x

A: Given that ∫sec2x etanxdx1+etanxWe need to evaluate the integral by u substitution.

Q: Algebraically explain that cos(x+1) function is DIFFERENTIABLE everywhere over its domain.…

A: f(x) = cos(x+1)

Q: f(t) = mt + b+ A sin-

A: Given data:     The given price of the model is: f(t)=mt+b+Asin(πt/6). The given price on the first…

Q: Prove that the function f(z) = sin(x)cosh(y) + i cos(x)sinh(y) is entire.

A:

Q: tanx TS Let F(x) = [ cos( )ds. Find F'(-1/4). %3D -tanx

A: Given F(x)=∫-tanxtanxcosπs4ds. We have to find F'-π4.