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Calculus
Using the rules of differentiation, find the derivatives of
a) y= 3√x + 7/x
b) y= t cos(2t)
c) y= x / (x^2+1)
a) y= 3√x + 7/x
b) y= t cos(2t)
c) y= x / (x^2+1)
Calculus
Prove that (tanx +secx)^2 = (1+sinx)/(1-sinx)
Calculus
find the work done in stretching a spring of natural length 8cm from 10cm to 13cm. assume a force of 6N is needed to hold it a length of 11cm.
Calculus
find the area enclosed by the curve 5y^2=16x and y^2=8x-24.
Calculus
Use Green’s theorem to evaluate ∮_c▒〖(x^2+xy)dx+(x^2+y^2 〗)dy where c is the square formed by the lines y=±1 and x±1
Calculus
Verify Stoke’s theorem for F=(x^2+y-4)i+3xyj+(2xz+z^2)k
Calculus
Use Green’s theorem to evaluate ∮_c▒〖(x^2+xy)dx+(x^2+y^2 〗)dy where c is the square formed by the lines y=±1 and x±1
Calculus
Find the value of the Jacobian (∂(u,v))/(∂(r,θ)) where u=x^2-y^2 ,v=2xy ,x=rcosθ and y=rsinθ
Calculus
Determine and classify the extreme values of
U=x^2 y^2-5x^2-8xy-5y^2
U=x^2 y^2-5x^2-8xy-5y^2
Calculus
Evaluate ∫_0^1▒∫_0^(√(1+x^2 ))▒□(dydx/(y^2+x^2+1))
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#339914 on Dec 2023
#339914 on Dec 2023