x' - x? = t, x(0) = -2, 0, 2; x(2) = 0; x(2.5) = -3, 0, 3 7. y'= sin(yx), y(0) = 0.5, 1,1.5, 2, 2.5 Use Mathematica or Geogebra apps to answer these questions. 6.

Q: The hyperbolic cosine function, denoted by cosh, is defined by the equation cosh(x) = (ex + e-x) (a)…

A:

Q: 1 •dx Evaluate 5 x'Vx² -9

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Q: Differentiate. Fx) = 7V sin(x) f '(x) = Need Help? Read It Submit Answer Practice Anoth 2. -/1…

A: Solving Q1 Given:

Q: Find the derivative of the function. y = sin-(9x + 1)

A:

Q: A mass attached to a vertical spring has position function given by s(t) = 8 sin(3t) where t is…

A: Given data : Position function , s(t)=8sin(3t) where t is measured is sec and s(t) in cm.

Q: Explain what method can we use instead of a Newton method when we don't want to find a derivative?

A: To find: Method can be used instead of newton method when we do not want to find a derivative.

Q: 37. y = sin x + /3 cos x, -2<x< 2m

A: Answer: The curve is shown below:

Q: d. With the parametrization in (c), we can now view the temperature f as not only a function of z…

A: A graph of contour plot is given as f(x, y)=30-x2-12y2. The parametric equations obtained in part…

Q: Part 1 Find by implicit differentiation. dy da Part 2 3+2x = sin(ry²) dy/dx by implicit…

A:

Q: calculator! 5. Graph the equation. Don't use a Plot at least 4 points T= 1+2 Sin ( 12

A: Note that: in polar form there are various type of representations. For example (0,1) in Cartesian…

Q: WIN 8 2. The curve shown below has equation x2/3 + y2/3 = 4 and is called an Astroid. a) Use…

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Q: instead of cube there is a square in that equation 3(2x-1)2 please solve

A: Given,           ∫2x-1cos32x-12+632x-12+6dx

Q: Could you please tell me how you got cos^-1(y^4) and limits for both V1 and V2 for a and b? What are…

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Q: エ+2= 3y

A: Topic:- derivatives

Q: 3. (2022)-The straight line /₁ passes through the points P(-2, 1) and Q(4, -1). (a). Find the…

A: Need to find out the equation of the line.

Q: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: Is this statement true explain why, if false explain why if x² te=10, then y'= -2x

A: find dy/dx

Q: Find the equation of the tangent to the curve y = (x − 2)√√√x² +9

A:

Q: 3. Find all of the equation. (a) y'= -x (c) (e) = x ln x y" = 2xe* ==cos x (i) y7e4x y'= -x sin x x…

A: Solution:

Q: (4) The Temperature T (measured in degrees Fahrenheit) in a growing chamber varies over a 24-hour…

A: Given Tt=68+sinπ12t

Q: If you are not given the graph of a cosine function f(x) however its maximum and minimum are 3π…

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Q: e) How many points are there where the two curves y = sinh(x) and y = x3 intersect? 2 x points

A:

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.