Obtain the differential equation of the family of curves described and sketch some members of the family. 1. Straight line with slope and y-intercept equal.

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Q: Solve for C given the general functions below and the specific point. 9. Find the equation of the…

A: Since:              The given general equation is of the form:…

Q: A melittologist measures the population P(t) of a bee hive after t months and records the results…

A: a). According to given table slope at given point is: P'2=P4-P04-0P'2=22500-50004=4375…

Q: dy = 12x2 – 7eI 5) Find the equation of the curve that passes through (0, 9) if its slope is given…

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Q: Find the derivative of y with respect to the independent variable. 6- e y=t O A. (6- ers-e O B. (5-…

A: The derivative of xn is given as,ddx(xn)=nxn-1

Q: a 1. The graph of y = where a is a constant is called the witch of Agnessi (named after 2 x²+a² the…

A: To find the derivative and equation of line tangent to the given curve.

Q: 53-56 Find an equation of the tangent line to the curve at the given point. 53. y = (3x – 1)-6, (0,…

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Q: 3 2 1. The degree of the differential equation (1 + d )³ = (²) ² is 3. dy dx dy 2. The integrating…

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Q: . Velocity A ball is thrown vertically into the air from the ground with all velocity of 96 ft/sec.…

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Q: Evaluate the derivative of the function at the given point. t= -2 8t+3'

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