Evaluate This Integral if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to point (2,4) and curve C₂ which is a vertical line segment from point (2,4) to point (2,6) if a and b are each constant.

Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: A particle moves along the top of the parabola y2 = 2x from left to right at a constant speed of 5…

A: A particle moves along the top of the parabola y2=2x from left to right at a constant speed of 5…

Q: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

A:

Q: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 that They are…

A: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 thatThey are parallel…

Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

A:

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

A:

Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

A:

Q: Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every…

A: integration

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula: