The path of a fast moving particle assuming constant speed traces a circle with equation (x-3)2 + (y-4)2 =25.It starts at point (3,-1),moves counterclockwise,and passes the point (8,4) for the first time after travelling 7 microseconds.Where is the particle after travelling 20 microseconds

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

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Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

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Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Find the equation of the line tangent to the curve (x-2)^2=-4(y+3) at (2,-3)

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Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: (a) The curve with equation 2 y 3 + y2 - y 5   = x 4 -2x3  +x 2  has been likened to a bouncing…

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: Find the equation of the tangent line to the ellipse 25x2+ y2 = 109 at the point (2, 3

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Q: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

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Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

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Q: There are two lines passing through the point (5,-1) that are tangent to the parabola y = -x^2+4x.…

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Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

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Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: Find the slope of the tangent line to the parabola y = x2 at the point (2, 4) by analyzing the…

A: We have to find the slope of tangent line to the given parabola y=x2 at the point 2, 4 by analyzing…

Q: The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the stationary points…

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Q: Find an equation of the curve that passes through the point (1, 1), and has the given slope y′ = −…

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

A: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

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Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

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Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

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Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: Find the equations of the tangent lines to the graph of y=x²+6 that go through the point (0,-2) and…

A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by…

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Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

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Q: What point on the curve y = x is closest to the point (5, 0)?

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Q: Find the equation of the line tangent to the curve y = 4x² – 8x + 4 at the point(5, 64). -

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A heat-seeking particle is located at the point (2,3) on a flat metal plate whose temperature at a…

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Q: Find equations of both tangent lines to the graph of the ellipse x2/4 + y2/9 = 1 that pass through…

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Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A:

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

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Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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Q: Find the equations of the tangent lines to the circle x2 + y2 = 1 which pass through the point (-4,…

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Q: 4. Find the member of the curve whose slope at any point is 4y point (3, 4) and passes through the

A: Note: As they are different questions, as per our company guidelines we are supposed to answer the…

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.