d((x, y), (z, w)) = |xz|+|yw|, show that whether d is a metric on R² or not?. Q3/Let R be a set of real number and d: R² x R² → R such that -> d((x, y), (z, w)) = max{\x - zl, ly - w} show that whether d is a metric on R² or not?. Q4/Let X be a nonempty set and d₁, d₂: XXR are metrics on X let d3,d4, d5: XX → R such that d3(x, y) = 4d2(x, y) d4(x, y) = 3d₁(x, y) +2d2(x, y) d5(x,y) = 2d₁ (x,y))/ 1+ 2d₂(x, y). Show that whether d3, d4 and d5 are metric on X or not?

Ju at © Ju 370 = x (- пье zxp = c² (2² 4 ) dx² ахе 2 nze dyz t nzp Q/what type of partial differential equation (PDE) are the following-

Q Calculate the Fourier series for f(x) = x on the interval -16≤x≤ T

Find all positive integers n such that n.2n +1 is a square.

A straight-line H is tangent to the function g(x)=-6x-3+ 8 and passes through the point (- 4,7). Determine, the gradient of the straight-line Choose.... y-intercept of the straight-line Choose... + which of the following is the answers -1.125 -6.72 1.125 7.28 0.07 - 7.28 6.72

You are required to match the correct response to each statement provided. Another term/word that can be used synonymously to Choose... gradient. A term/phrase that is associated with Arithmetic Progression. Common difference → An identity matrix can be referred to as a Choose... ÷ What is the inequality sign that represents "at most"? VI

Affect of sports on students linked with physical problems

26.1. Locate and determine the order of zeros of the following functions: (a). e2z – e*, (b). z2sinhz, (c). z*cos2z, (d). z3 cosz2.

Q/ show that: The function feal = Se²²²+d+ is analytic