So 0 Evaluate the integral, if it exists. exc 1+e2x dx

Q: ӘТ ӘР V

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Q: 4 The reverse order of So Say 0 J4y +2 ex² dxdy is equal to e-1 se O None of them O

A: To evaluate the given integral by reversing  the order of the integration.∫01∫4y4ex2 dx dy

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A: We have to find equation of tangent.

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Q: 5. Ssin' x dx.

A: I am attaching image so that you understand each and every step.

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A: We have to form a differential equation representing the family of curves  3x2 = 4a(b + 2y)  a , b…

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Q: 8. Find the area between y = sinx cosx and y = sinx, over the interval 0 <x<T

A: Given y=sinx cosx &amp; y=sinx between the limits x=o to x=πTo find area between two curves:

Q: The Critical Point of y = xe*

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A: Given: z=lnxy   As we know that; The Power law; ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And…

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Q: 04; pag 3: pas duas + yoya Sugupo 3n+1-1 n 3n J-1 25

A: Given    for n =1  for n = 2  Therefore series decreasing.

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A: Using left reimann, approximate area is evaluated.

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A: To estimate the value of 8214 by using a approximationb differentials

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A: Given, ∫03x2dx

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A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

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A: Given    find derivative

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Q: 1. INTEGRALS AND ITS APPLICATIONS x2- √(¹-2)² dx S

A: Solution is here

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

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A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

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Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

A: As per our norms we have to write one question at a time kindly repost remaining questions

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A: See the details solution in below

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A: This question is related to differential equations, we will solve it using given information.

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

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A: Here we have to solve the given integral.

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A: Area of a region is calculate as ∬dydx, when strip is choosen parallel to y-axis see below the…

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Q: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.