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Calculus
if y=(x+(x^2+m^2)^1/2)^n then dy/dx
Calculus
if x^y.y^x=m,m is a constant then n dy/dx is??
Calculus
Determine the equations of the tangent lines and of the normal lines to the curve
e^(x^2+y^2-2) = x
at the points (1, 1) and (1,-1).
e^(x^2+y^2-2) = x
at the points (1, 1) and (1,-1).
Calculus
Determine the equations of the tangent lines and of the normal lines to the curve
(x^2 + y^2)^(2/3) = xy
at the points (2, 2) and (-2,-2).
(x^2 + y^2)^(2/3) = xy
at the points (2, 2) and (-2,-2).
Calculus
The curve C is given by x^2 - 2y^2 = 4:
(a) Which parts of C can be described as graphs of functions y(x)? Determine these functions y(x) and state their domains.
(b) Sketch the curve C.
(c) Determine the equations of the tangent lines to C at the points (-4, √6), (-4,-√6) and (-2, 0).
(d) Compute dy/dx , d^(2)y/dx^(2) and d^(3)y/ dx^(3) at the point (4,√6).
(e) Determine all points of C at which dy/dx is not de fined and explain why this is the case.
(a) Which parts of C can be described as graphs of functions y(x)? Determine these functions y(x) and state their domains.
(b) Sketch the curve C.
(c) Determine the equations of the tangent lines to C at the points (-4, √6), (-4,-√6) and (-2, 0).
(d) Compute dy/dx , d^(2)y/dx^(2) and d^(3)y/ dx^(3) at the point (4,√6).
(e) Determine all points of C at which dy/dx is not de fined and explain why this is the case.
Calculus
integration of (1/(1+log x)) dx.
Calculus
the gradient of the curve y-xy+2px+3qy=0 at the point (3,2) is -2/3 the value of p & q are??
Calculus
if xy=1 then y^2 +dy/dx is =??
Calculus
prove that the slope of a straight line is not zero
Calculus
What is the displacement of Point C to A. You can consider the diagram a semi-circle and a triangle
Diagram is a cone: Triangle on top and semi circle on bottom in the middle semicircle in the middle of the circumference it is point C . The Triangle legs are 8 cm and when they touch is A. The semicircle radius which is also the base of the triangle is 6 cm.
Diagram is a cone: Triangle on top and semi circle on bottom in the middle semicircle in the middle of the circumference it is point C . The Triangle legs are 8 cm and when they touch is A. The semicircle radius which is also the base of the triangle is 6 cm.
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#340153 on Dec 2023
#340153 on Dec 2023