Write the differential equation of the following satisfying the given conditions. 1. Family of straight lines with slope "m" and y-intercept "b"

Q: 2. The position of a particle as it glides along a horizontal track at time t t² + 21 feet from a…

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Q: Determine the differential of y for the function y=3ln(4x2).  Simplify fully.

A: To Determine: Differential of y

Q: dy using implicit differentiation dx 1. Find а. Зху + 4x2 + 5y? %3D 5 b. y + 2x³y* + 2y² = 3x = 3y2…

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Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

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: Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16…

A: The high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16 feet above…

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: 1. (a) Find the differential of g(u, v) = u² + uv. (b) Use your answer to part (a) to estimate the…

A: Here we have to find the differentials of g(u,v)=u2+uv .

Q: (a) Find the linear approximation of the function f(x) = /1– x about a = 0. Use it to approximate…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Find the differential of the function. p = 9q – 493/2 dp:

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Q: Newton's law of cooling says that the rate at which a body cools is proportional to the difference…

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Q: 12. The Andrews family decides to vacation to Mars. While there, Mr. Andrews and his sons play…

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Q: The data entry speed (in entries per minute) of a data clerk trainee is represented by S = 10/0.6x +…

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