Problem 4: Set-up an integral that computes the volume for the following surfaces of revolution by choosing between the washer and shell method. Solve the integral. (a) The region bounded by x=1, xy=9, and x²y=45 is rotated about the y-axis. (b) The region bouned by x'+y² = 2x, lying above the line 2y+x = 2 (eg., satisfying 2y+x>2), rotated about the x-axis. (c) The region bounded by x?y²+x²=1, lnx = y, and 2y = 1, rotated about the y-axis. (d) The region bounded by x = cosh(y), x = sinh(y), y = 0, and y = n, rotated about the x-axis. (Where n EN is a positive integer.)
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
subpart a,b,c
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