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Calculus
Let D be the region in R^3 that lies inside the cone z=sqr(x^2+y^2) above the plane z=1 and below the hemisphere z=sqr(4-x^2-y^2). (a) sketch the region D in R^3. (b) express the volume of D as a sum of triple integrals, using cylindrical coordinates.
Calculus
Solve the following differential equation subject to the given initial condition. (a)dy/d(theta)=ysin(theta); y(pi)=3. (b) x^2 dy/dx=y-xy; y(1)=1
Calculus
Find the area of the curve y2 (2a – x) = x3
between the area and its asymptotes.
between the area and its asymptotes.
Calculus
6.
Find the values of a and b, where a and b are real, given that (a + bi)(2 – i) = 5 – i.
Calculus
2. Find the complete integral of the partial differential
equation p+q=sin x+sin y.
Calculus
Find the complete integral of the partial differential
equation pq = 2
Calculus
differentiate
f(x) = 2 + |x|2/3
Calculus
let the function f definedbe defined as: f(x)= 4a if x</=-2, 3x^2 if -2<x</=1, x+b if x>1. Determine the values of the consonants a,b, so that f is continuous at x=-2 & x=1
Calculus
use squeeze theorem to show that: limit as x approaches infinity of (sin(e^x))/x =0, hense evaluate the limit as x approaches infinity of (sin(e^x))/sqr(x^2+2)
Calculus
Draw graphs of the following functions.
(a)
f: R—>R defined by f(x) = Floor(x)
(b)
f: R—>R defined by f(x) = Ceiling(x)
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#339914 on Dec 2023
#339914 on Dec 2023