prove that [(1/₂) = √T by using the definition of error function.

Q: For f(x) = 2-x4/3 + x, use the 2nd- Deriv. Test to find any local max or min

A: to find local max or min.

Q: Find the values of a and b that makes f continous everywhere if  f(x) =

A:

Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Suppose a car drives north on I-95 starting from Miami. Let f(t) denote thenumber of miles from…

A: f(5) − f(3)/5 − 3 represent displacemennt/time taken from 3hours to 5 hours i.e. 2 hours

Q: Differentiate the function. H'(z) = H(z) = In c²-2² c²+z²

A: H(z)=lnc2-z2c2+z2

Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

Q: calculate the value of coth-1(x) when x is greater than 1

A:

Q: Use differentials to approximate √16.5.

A: Given:

Q: Find the relative maxima and minima of y by the second-derivate test: y= 2x/(1-2x) (x is not 1/2)

A:

Q: Let D = {z E C : |z| 0} be the upper half-plane. Find a Möbius transformation f : C → C such that…

A:

Q: find an equation of the tanfent line to the curve at the given point y = 4x – 3x², (2, –4)

A:

Q: Prove LHS is equal to RHS: 8-(4x-5)=x-7

A: Given:

Q: compute ref(i) when f(z)=sqrt(z-1) and f(0)=-i

A: Given:It is given that  and .To Find:We have to compute .