3. Explain what is wrong with the following statement: If R,T are corresponding regions in the xy and st planes, the change of coordinates * = t°, y = s leads to the formula (x+ 2y)dzdy = (t + 2s)(-31)dsdt R.

Q: Write the equations of the lines tangent to the circle (x + 3)² + (y – 4)² = 18 and are…

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Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

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Q: Specify m to distance from point M (1;0) to the lines (Δ):4x+3y+m= 0 by 2.

A: Please see the below picture for detailed solution.

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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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: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: Let y = d -7 = 7 and u = -7 -2 Compute the distance d from y to the line through u and the origin.…

A: Introduction: Let l be the path connecting the origin to u. We can compute the projection of y onto…

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find the distance from point A = (4, 7, 9) to the following line:

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

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Q: Find either angle between the lines described by the following: 3 y = -x + 2 and –3x – y – 4 = 0 4

A: The slope-intercept form of a line is y=mx+b, where m is the slope.  Let two lines be y=m1x+c1 and…

Q: 3. Plot each of the points below and give their coordinates in the specified coordinate system. a.…

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