1- If e +x +y+arctan(z) = 2 then what is the value of dy da at (0,1) ? a) - 2 b)2 c)0 d 1 e) - 1 a) b) Boş bırak

Q: b) (12xy2+64+se*)do + CGx?y+2x)dy=0 c) 24 dx + (6x³¬xy•xdy=0

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Q: dz at the point (3,2, 1), where z is defined implicitly by the equation z +z²x² – y = 8 Calculate dx…

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Q: 2) vting daplace toansfóöre, Solve x" Zt)+4x'Lt)+3=(4) uing = 10 gint yeren that xco) = -3t Ans: ILt…

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Q: 4). 2 ava-1 3). S sech-x tanh;x dx 2 2 6). S csch* 2x dx 7). S x² sech x³ dx

A: Since  we are given with the multiple number of question and our guideline is solve first question…

Q: For cos2(xy) =-, evaluate y' when x = 1. 4

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Q: For the equation y=-sin 2(x-2)-1 -1 determine the amplitude: a) 1 b) 2 c)-2 d) -1 c) 0

A: NOTE: Refresh your page if you can't see any equations. . y=-sin2x-π2-1 here coefficient of the sine…

Q: 4y² Given the function f(x,y)= find each of the following. SIMPLIFY A) f,(x,y)=. B) f,(x, y) =- C)…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: z2 = - sin (z+y+2) ( '+ ) xy 3z + sin (x+y+z). dz -xz - sin (x+y+2) he he

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Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: - truck driving along a freeway with traffic has travelled s(t) 3 +6t+7 meters in t %3D econds. If…

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Q: Let f(x) =- 3x – cos-1(x), then the equation %3D of the normal line to the curve at the point (0,0)…

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Q: d³ y dx³ -2 d²y dy 202y dx² + = 5x dx

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Q: 16)- Consider the quadrature formula 6 | f(x)dx = Af (-6) + Bf(6) -6 If the degree of precession is…

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Q: -1 du 4) [cot-u] %3D 1+u2 dx dx d 5) 1 du [sec-1 u] %3D dx u vu2-1 dx -1 du 6) [csc-1 u] dx u vu2-1…

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Q: 2 a) Solve x y'= (2+ yx)·

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Q: Q NO3)IF y=Jsinx + Vsinx + Vsinx + . then show that(2y-1) = cosx .And Also Find dx (5vcosx) dx

A: Our objective is to find the derivative of above functions.

Q: = (e+ tan())“ then what is the value of y' (0)? a) 0 b) -1 c) 1 d) -2 e) 2 191 a) a b) c) C d) d.

A: To find the derivative of y

Q: daffəx and åf/ðy y) = x² – xy + y² v) = sin? (x – 3y)

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 6. (6x°-4x² +1)*

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Q: If f(x) = cos (-x) + 3x + 2, xE [0,1], then f"(5) = %3D A) cos + 17. B) cos()+17" (Sm C) 0. D) 2. E)…

A: Solution of question as follows

Q: y = u²+1, uzt + 3t ) t=2x1 what's dy dx for x=1?

A: The given functions,.We have to find for .

Q: Find y' and dy a) y = 7 sin (x² + 3x-3) y'= c) 7 y ² - 3x² = 4 dy dx = b) 2 y = X²³-4x+2 y' = De²y =…

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Q: 1 b)y" + y = ; 1+sinx

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Q: 5) у%3 е" dy 3x? = e^ · 6x dx А) бх dy B) dx - 6х = 6xe° + 3x2 dy C) dx ,3x? e 6x -1+ 3x? бхе dy D)…

A: apply chain rule of differentiation

Q: 5) If dy da = y² + 1 and x = 1 when y=0, then A) y tan (x-1) B) y =sin (x-1) C) y =√x+1 D) y = tan x…

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Q: Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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.