Evaluate fe (43+ x³)dx where C is the line segment from (-2, –1) to (0, 1) followed by the right half of the circle of radius 1 with clockwise rotation. See the sketch below for the direction.

Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

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A: We want to find the distance between the given two points. We use formula for finding the distance…

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A: We have to find the image of (4,-1) obtained by translating 4 unit up and then reflection over y…

Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Evaluate fe(11 +x³)dx + 76dy where C is the line segment from (0, 1) to (-2, –1) followed by the…

A: We will first break the whole path into two segments and then integrate on both segments.

Q: Evaluate (40 +)dr where C is the line segment from (-2, –1) to (0, 1) followed by the right half of…

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Q: ILLUSTRATION NO 3. If A (-313) is the midpoint of J (x15) and € (1,y), find the values of x andy.

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Q: -2 8 and y = 4 Find the distance between x = - 8 The distance between x and y is (Type an exact…

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…