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MAT 120 calculus JAN TO APRIL 2025 SEMESTER BLENDED 2.0 UNIT
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7. If x^2 + y^2 = 25, what is dy/dx using implicit differentiation?
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If f(x) = 3x - 4 and g(x) = 2x + 1, what is the composition g(f(2))?
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Differentiate xy+x-2y-1=0
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Evaluate the limit
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We are going to fence in a rectangular field. If we look at the field from above the cost of the vertical sides are $20/ft, the cost of the bottom is $4/ft and the cost of the top is $14/ft. If we have $1400 determine the dimensions of the field that will maximize the enclosed area.
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Gas is escaping from a spherical balloon at the rate of 5 ft3/min. How fast is the surface area shrinking when the radius is 4 ft?
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9. If x = t^2 and y = t^3, what is dy/dx?
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10. For the implicit function x^2 + y^2 = 25, what is the equation of the tangent line at the point (3, 4)?
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Differentiate y=ln(sin 5x)
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Differentiate parametricallyy=cos(3t) x=ln(5t)
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