Find the terminal points P(x, y) on the unit circle determined by the given value t (a) t = . %3D (b) t = . (c) t = .

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A: x3+y3=65 Differentiating with respect to x, we get 3x2+3y2·dydx=0    ∵dxndx=nxn-1  &  dcdx=0,…

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t= - Zn 4…

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Q: Ifx= cost, y sin t, find the point corresponding to t= /4, A B D. (1, 1)

A: Put the value get the answer

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Q: find the terminal point P(x,y) on the unit circle determined by the given value of t.      t=7pi/4…

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A: To Solve for the general solution of the following first order differential equations.

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Q: Consider the following figure. Dilate the figure about the origin with a scale factor of and then…

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

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A: We can use the method of substitution in order to solve the given problem.

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A: Given , y=x4+5 and x=-1  ∆x=dx=0.01The derivative of y is    y'=ddxx4+5⇒y'=4x3+0⇒y'=4x3Then the…

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Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward? x = t2 + 1, y = et – 1

A: x=t2+1y=et-1

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Q: If xy + ey = e, find the value of yn at the point where x = 0.

A: xy + ey = eWhen x = 0,  ey = e = e1Hence, y = 1

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Q: 10. Circles tangent to the x-axis. Amm. (1+() =[yy +1+(

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Q: d'y and dx? dy 8) At which of the 5 points on the graph in the figure below are dx both negative?…

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Q: 10. Circles tangent to the X-axis. Amm. [1 + (y)*]° =[yy +1+(]".

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Q: Find for the indicated function y. dx y=15* + e7 (Type an exact answer.) dy dx

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Q: Find the equation of the tangent to x = = VE , y = t – at the point where t = 4. Note: Sample format…

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Q: T = PQ' wh ).Note th E is the lar

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Q: Calculate T, and M6 for º 2 dx. (Use decimal notation. Give your answers to five decimal places.)

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.