Find the area of the shaded region. y 8 y= 5 x – x 6. (3, 6) 4 2 y= 2 x X -1 4 5 2.

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A: We have to integrate .

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A: This question is based on differentiation with respect to x.

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Q: f(x+Ax)-f(x) Ay = lim Ax-0 find the derivative of the Using = lim dx Ax-0 Ax Ax following function. ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

A: Given:    y=-9 sin2x+π2

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +...

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...

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Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: Let f(x, y, z) = 6xy- z, x = 3r cos(0), y = cos (0), z = 3r. = . Use the Chain Rule to calculate the...

A: fx,y,z=6xy-z2x=3r cosθy=cos2θz=3r

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Q: Find the dot product of the following vectors u and v. %3D

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

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Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy. P...

Q: x6 (x) 12

A: Given:  Given that a piecewise function fx=x,  x<-2x2-4, -2≤x<412,  4<x<68,  x=6-x+10,  ...

Q: If x³ + 4x³y? = x – y³, find dy/dx. 3,2 | dy %D dx

A: Here we have to find the implicit differentiation.