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Calculus
1. Find R R
D
(x + 2y)dA, where D is the region bounded by the parabolas
y = x
2
, and y = 1 + x
D
(x + 2y)dA, where D is the region bounded by the parabolas
y = x
2
, and y = 1 + x
Calculus
directional derivatives of xy2+yz3 at (1,-1,1) along i+2j+2k
Calculus
show that "\\int" 1/(x-9)1/2 dx=ln|(x+(x-9)1/2|+c. Hence evaluate the integral "\\intop" 1/(x-9)1/2dx. Hint put u=3sinx
Calculus
Find limit using L' Hopitals rule:
(a) lim x "\\to" 0 (cos2x)^(1/x^2)
Calculus
Evaluate the limit as x turns to -∞
Lim [3x + √(9x2-Ix-2I)]
Calculus
The domain of the function define by f(x) = √[Inx/ (Inx-1)] is?
Calculus
Simplify the sum Σ from r=0 to 2n+1 of [3/(r+1)(r+2)]
Calculus
Calculate the volume created by revolution around the axes OX, of D of the plane (OXY) where D={(x,y) ∈R: 0 ≤ y ≤x, (x-2)2 +y2 ≤ 4}
Calculus
Evaluate the limit as x turns to 2+
lim {sin[In (x-1)] / √(x-2)}
Calculus
Evaluate ∫0π √(1+cos8xdx)
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#340153 on Dec 2023
#340153 on Dec 2023