Find the area of the region bounded by the graphs of the given equations. Enter your answer in exact form or rounded to two decimal places. y = e-1, y = -4 + x, x 0, x = 1

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A: The integration of the integral is  1/[x sqrt(1-4ln2x) ].

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Q: a" + C,C E R. In a If a is any positive number except 1, then a" du True False

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A: We can find the specified finite sum as below.

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: The objective of the question is evaluate the indefinite integral using the Green Theorem.

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Q: CAn you give an example with Taylor series approximatio

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Q: sin sin ³ O de *と

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Q: Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.

A: Given, x²-y+1=0 I.e, x= sqrt(y-1)----- equation 1 x-y+1=0 I.e, x= y-1 ----equation 2

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Q: 7. Let f(a) = (4 – 3x)" f(1) has one critical value at A = For x A, f(x) is Decreasing Increasing

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Q: find the tangent plane to the surface z = y-x at the point (1,2,1)

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Q: Evaluate the definite integral. sin(3t)dt

A: I=∫0π3 sin(3t) dt  =-cos(3t)30π3  =-13 cos3π3-cos0

Q: Find the area of the region bounded by the graphs of f(r) =-r² + 2x+5 and g(z) = 121|- %3D

A: Area bounded by the curves :  If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

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Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. O…

A: Using greens theorem

Q: 8. If V represents the volume of an object, what does AP represent? - dt

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Q: A B E F This is a graph of f'(x), the derivative of f(x). At which of the marked values is: f(x)…

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Q: 00 1 dx x(Inx)2

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