Problem 4. 10. Show that (a) the function f(z) = Log(z - i) is analytic everywhere except on the portion <0 of the line y = 1; Log(2+4) (b) the function f(z) points ±(1 - i)/√2 and on the portion = is analytic everywhere except at the -4 of the real axis.

Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Suppose y = L(x) = ax+b (with a 0) is the equation of the line tangent to the graph of a one-to-one…

A: Topic: Geometry

Q: 2.2 Use the Cauchy-Riemann equation to determine if the function f(2) =r- i(2-y)" is analytic or…

A:

Q: Using the definition of the derivative, compute f'(x) for the following functions. (a) f(r) = -3 (b)…

A:

Q: The domain of the logarithmic functiort f(x)=log_(a)x is

A: We find domain of the logarithmic function f(x)= logax.   Where, a &gt; 0 is a constant.

Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: 10. The point (- 23, – 13) is on the transformed function: y = - 2log[- 5(x + 3)]– 9. Find the…

A:

Q: #11

A:

Q: 5. Find all the zeroes of the function f(x) = - 0.5x? + 2.5 x +4.5 using False Position Method…

A:

Q: 4. Given a function f(x) that is written as f(x) = h' (2) = 4, then f'(2) =? g(x) h(x), if g(2) = 2,…

A: 4. Given a function f(x) that is written as f(x) =g(x)·h(x) , if g(2) =2 , h(2)=-2 ,g'(2)=-3 and…

Q: Tx – 2VT+ V3 (2x2 – x) (3x - 2) - - Find D Do not use logarithmic differentiation.

A:

Q: If f(x) = x², x ≥ 0, then Find either the exact value, or give a 4 decimal place approximation to

A: Solution-Given function,f(x)=y=x2we have to find value of f-1(7).

Q: 8. If (* = 256 and log (x - y) = 3, calculate the exact values of and y algebraically. Show work for…

A: Given ( 14 )x + y  = 256log4( x - y ) = 3

Q: 3. Find the implied domain for the following functions: (a) f(x) = Vx² – x – 6. %3D log, (x – 2) |…

A:

Q: the inverse function of f(x) = ax is x+c hat is the value of a + b + c? +C= f-¹(x)= 8x - 7 .-x+3'

A: Topic:- algebra and calculus

Q: Show that the general formula for the derivative of a polynomial agrees with the definition in terms…

A: Firstly use general formula of derivative to calculate the derivative of given function f(x) = kx3…

Q: 2. Determine the multiple real root of f(x) =x² – 2xe* +e* using Modified Newton-Raphson Method.…

A: Given: To determine the multiple real root of f(x)=x2-2xe-x+e-2x.

Q: Prove that log(x + y) = log(x) + log(y) if, and only if, y = 1, where x > 1.

A:

Q: 6. Suppose that f(x) = g(y) + x²y³ r + y (a) Use implicit differentiation to compute a formula for y…

A: We differentiate above function with respect to x and f(x) and  g(x) are function of x and y

Q: The derivative of f(z) = Log(2iz – 4 + 6i) at z = -3 + 4i is Log(-12). Undefined. 2i -12 None of…

A: Derivative of function f(z)=Log(g(z)) where g(z) is some complex function. f'(z)=g'(z)g(z)…

Q: Consider a rectangle in the fourth quadrant of the xy-plane whose two adjacent sides are on the…

A:

Q: b) f(x)=√x - √x c)

A:

Q: 37. Express log b = 16x²vz* in expanded form. %3D V(x-13 A. Log b16 log bx²y log bz-log b (x-1)² B.…

A: We have to apply logarithmic formula

Q: The Mean Value Theorem for problem 3 says that between x=-2 and x=2, there exists a value x=c that…

A: Let, y=f(x) =27-x2Now , f(-2) =27-(-2)2  =27-4=23   and f(2) = 27-22  =  27-4=23   and…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

A: