Revolve ݕ=ݔଶ+1, ݔ=െ1, ݔ=1,and ݕ=0,about the line ݕ=െ1

Suppose a curve 𝑦(𝑥) has the derivatived𝑦d𝑥=5−2𝑥.1. Find 𝑦 in terms of 𝑥.𝑦(𝑥)=

Find lim𝑥→1 𝑓(𝑥), where𝑓(𝑥) { 𝑥2 − 1, 𝑥 ≤ 1−𝑥2 − 1, 𝑥 > 1

Evaluate ∫∫ ඥ(4xଶ − yଶ) dxdy over the triangle formed bystraight lines y = 0, x = 1, y = x.

2𝑒2𝑥 − 3𝑒𝑥 + 1 = 0

𝑃 is the point of intersection of the lines with equations 𝑥−𝑦+1=0 and 𝑥+2𝑦−11=0Write down the coordinates of 𝑃.powered byOxyx−y+1=0x+2y−11=0P