1. Let A be the region enclosed by the curves y = r² + 1, y = (2x – 1)² and r = 1. 2 ty y = x² +1 (2r – 1)? Write down the integral that represents the area of region A and calculate the integral.

Q: 1. Find the area in the first quadrant enclosed by using a vertical element. x² +4 x=2 and x = 4,

A:

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

A:

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x)…

Q: Find the area of the region between x = 2y and x = y3 — y.

A: Given x=2y and x =y3-yThe area between f(x) and g(x) are two continuous functions and  f(x)≥g(x)  on…

Q: V.EVALUATION: Given the following scores: 5, 7, 12, 14, 15, 22, 25, 30, 36, 42, 53, 65. Find: 1. Qi…

A: The given data is already in ascending order: 5,7,12,14,15,22,25,30,36,42,53,65 Q1=(n+1)4thterm…

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: Find the area of the region lying between the x-axis and the curve In(82) – 1 to the right of the…

A: Given curve is: y=ln8x-1x2 The area of region of the curve lying between x-axis and right of the…

Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

Q: f. Find the area between x = 1 – y and y = -x – 1. Sketch the region.

A: Given curves are, x=1-y2  and y=-x-1 The region bounded by two above curves as shown in below: