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13 Nov 2019
Help on Calculus!
4. A hyperbola has the equation x2 +4xy-2y26 a. By implicit differentiation w.r.tx, obtain the relation satisfied by b. Compute the coordinates of every point (if any) on the hyperbola at which the tangent to the hyperbola is parallel to the line y = 2x + 1. 5. A particle P travels along the curve sin(rxy) +x2+2x-3y0. The x-coordinate anyy- coordinate of P are both function of time.(related rate problem) a. Derive the relation satisfied by the time derivatives x' and y of the X and Y coordinates w.r.t. time t b. At a certain instance the particle is at the point x-1.y-1 and this instance the y coordinate is decreasing at 10 units/minute. Compute the rate of change of the x coordinate at this instance. e x coordinate increasing or decreasing at the instance described in (b)? (Please, justify your answer) c. Is th 6, A curve has the equation Ï2y + Ay2-B where A and B exist in the real plane. Find the values of the constants A and B such that the point xe1, y-1 lies on the curve and the tangent line to the curve at the point x-1, y-1 has the equation 4x+3y-7. (This is an implicit differentiation problem)
Help on Calculus!
4. A hyperbola has the equation x2 +4xy-2y26 a. By implicit differentiation w.r.tx, obtain the relation satisfied by b. Compute the coordinates of every point (if any) on the hyperbola at which the tangent to the hyperbola is parallel to the line y = 2x + 1. 5. A particle P travels along the curve sin(rxy) +x2+2x-3y0. The x-coordinate anyy- coordinate of P are both function of time.(related rate problem) a. Derive the relation satisfied by the time derivatives x' and y of the X and Y coordinates w.r.t. time t b. At a certain instance the particle is at the point x-1.y-1 and this instance the y coordinate is decreasing at 10 units/minute. Compute the rate of change of the x coordinate at this instance. e x coordinate increasing or decreasing at the instance described in (b)? (Please, justify your answer) c. Is th 6, A curve has the equation Ï2y + Ay2-B where A and B exist in the real plane. Find the values of the constants A and B such that the point xe1, y-1 lies on the curve and the tangent line to the curve at the point x-1, y-1 has the equation 4x+3y-7. (This is an implicit differentiation problem)
Elin HesselLv2
22 Aug 2019