(a) z(t) = (2 +3i)(1 – t) + (4 + 7i)t, 0 st<1, (b) obtained by writing the equation of the line segment in the form y = mx +c. What do you notice about the two answers? Could you have evaluated this integral by using anti-differentiation?

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A: The given function equation is

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A:

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A:

Q: 7. Find the following derivatives. a) In(x² + 1) dx c) y = 4log3 (x²) b) E = 25,000.101.5M d) Use…

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A:

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A:

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A: Explanation and solutions is given below....

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A: The solution is given as

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Q: Suppose that x and y are related by the equation 5x2−3y2=4 and use implicit differentiation to…

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Q: dy 9. Find dx by implicit differentiation given that 4xy = 5. Show all steps using the derivative…

A: given  4xy=5d dx(a.b)=adbdx+bdadxd dx(xn)=nxn-1d dx(constant)=0