26 + 4z4 – 2z2 +1 dz (z – 2i)6

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: pu. --s) 4) Show that the function + and on the portion r <-4 of the real axis. is analytic…

A:

Q: Let f (x, y) = 1 5+√x²+y²-1 Then range of f is:

A:

Q: Use the Mean Value Theorem to show that 1+x 0.

A:

Q: f Gx,y) x+ 3 XY %3D

A: We have to check

Q: Verify the Mean value Theorem for the function f(x) = 2x2 - 8z +6 on [1, 3]

A: f(x)=2x2-8x+6  on [1,3] conditions of mean value theorem: i) f(x) is continuous at (a,b) ii) f(x) is…

Q: Let Z∼N(0,1). Find P(-2<Z<1).

A: From the provided information,Z~N (0, 1)The probability P (-2&lt;Z&lt;1) need to be calculated.

Q: Using a table, Find f [1.3, 2.4, 3.6] where f (x) = x²

A: For a function, , x is the independent variable and y is the dependent variable.

Q: S(x)dt, iff(x)= Vx-k+1;k-13x< i, k=1, 2.n.

A: By substitution, we calculate the following Integral.

Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

A:

Q: let f be the function x²-C for x< 5 flx)=3x+5c for X Z 5

A:

Q: |u| = |v| is equivalent to u =. or u =

A: Given that u=v Recall that the absolute value sign gives the positive output for both positive and…

Q: Formulate a condition for f to be symmetric with respect to the point (a, 0) on the x-axis.

A:

Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: Find f.(x, y) and f,(x, y) for f(x, y) 3x3 + 8y? – 6x + 4y and evaluate each at f(4, 5). f.(x, y) =…

A:

Q: frx) = Ty-x the domain of suppose What is

A:

Q: A ˅ B => C ˄ D   into conjunctive normal form by using equivalences

A:

Q: (d) Prore that the function f(x) =X is Continous but not unifomly Continous on the intenal

A: Use the  absolun delta definition for uniformly continuous

Q: If a > 0 is constructible, then √a is also constructible.

A: Since α&gt;0 is constructible, then 1+α is constructible and 1+α2 is also constructible so far.…

Q: Let f(x) = 5- x and g(x) 2, find: a. (fog)(0) b. (go f)(0) = c. (fo g)(x) Preview d. (go f)(x) =…

A: Value of the above ques is

Q: Test the series for convergence or divergence by applying the Limit Comparison Test.

A: Explanation of the answer is as follows

Q: Vxdx 2. For J T-Vx use 4 O u = JA u = x O u = Ja

A:

Q: Find the domain of Hi function fr w =J 2x+3 -1

A: It is given that the function fx=2x+3-1. Find the domain of the function. It known that the root of…

Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: the doi n ain of the functions

A: We have given two functions : f(x,y)=1xy…