2. Simplify each of the following expressions. Be sure that your answers have no parentheses and no negative or fractional exponents. a. 271/3 b. (5z"y') 2 c. (3z° - y 4)(6z ®y#)

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A: Here we have,  y=sinh(4x2)-coth(6x3) ........................... (1)  we have to find,  d5ydx5=?

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A: given that  tanθ = 19.01 and  θ vary from 0 to 2π.

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Q: ex 1. EVALUATE Te"dx

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Q: 2) Find 0 for 0° < 0 < 360° if sec 0 = -1.4133. Round %3D your answers to the nearest 0.01°.

A: sec (theta) = -1.4133 cos (theta) = -(1/1.4133) = - 0.70756

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A: Explanation of the solution is given below...

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Q: Ex6: Solve the following 1. If x? + y² = 25 show that (y')² + yy" + 1 = 0 2. If xy = sin x show that…

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Q: g{-110- - gP dss ( (s – 7)2 – 100, 1 L

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Q: dy 1. Determine for each of the following. Do not factor but simplify where appropriate. dx a) y =…

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Q: E(X) = i Round your answer to the nearest integer. %3D J Med:

A: Given that  X~Lognormal(θ=5,w2=9) Mean of Lognormal distribution  E(X)=eA Where A=θ+(1/2)w2

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Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (1.96, -1.05), compare the values of Az and…

A: Given. Z = X²-XY+2Y² ∆Z =z(X2,y2) - z(X1,y1)  And  dZ = differential of z with respect to X and Y.

Q: What value of x makes this equation true? 5x +8+3x=26+6x OA 36 OB. 17 16 OD 9

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Q: 0= 315. e is located in quadrant O II O IV

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Q: If z = x - xy + 9y2 and (x, y) changes from (2, –1) to (1.97, –1.05), compare the values of Az and…

A: To compare: The values of ∆z and dz. Given information: The equation is z=x2-xy+9y2 and x,y changes…

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A: We will find out the required value.

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Q: If z = x² – xy + 2y² and (x, y) changes from (3, –1) to (3.03, –1.05), compare the values of Az and…

A: given: z=x2-xy+2y2 and (x,y) changes from (3,-1) to (3.03,-1.05). we have to compare the values of…

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Q: Differentiate the following. 4. 11 y cosec (sec x') 43 tranh2x

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Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: Solve the following exact equation   (y+ 2xy³) dx+ (1 + 3x²y² + x) dy = 0

A: The given equation is y+2xy3dx+1+3x2y2+xdy=0. The equation is of the form Mx,ydx+Nx,ydy=0 where…

Q: Evaluate the following. (a) / (8* + 2 (b) / .3 s - 5e ) da ec" x - sin vx dx 218

A: use the basic property of integral and substitution method to solve this integral.

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Q: Find the result of the operations indicated in each of the following problems using formulas (F –…

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