Let X~ Polsson (m) with Var(X) m2, then the value of the positive constant m equals Select one: 47 O a 2 Ob1 Oc3 d. 4

Q: Q5\ If z = x + jy, where x and y are real, find the values of x and y when 3z 3z + 4 %D 1- j 3- j

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Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: Evaluate L[u(t-2)-(t-2)³} a. e-2s/s4 b. 6e-2s c. 6e-2s/s4 d. 6e²s/s

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Q: ir6 f(c)dz = 4 and , f(x)dr – 6, th then f(z)dz = Select one. O a -2 O b-10 Oc 2 Od. 10

A: We will let that the integration of the function f(x) is g(x) to solve the question.

Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve for a2f дхдz if f (x, y, z) = x³=3y

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Q: 5. S: 3x²+4x+1 dx x3+2x²+x+2

A: Topic:- integration

Q: -jx+3 16 x > -8 O D r > 8 x > 8

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Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: The objective of this question is to evaluate the value of a piecewise function at a given point. A…

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 3. Show Dat where re frenction s Centinueas? X+ y+2-H

A: In the given question we have to check that where the function is continuous or not and the given…

Q: If f(x) = 5x + In(x – 2), find f15) A. OIn 13 В. C. O5 D. IC

A: Given function is f(x)=5x+ln(x-2) Let f-1(15)=a. Then f(a)=15 Now just check all the options one by…

Q: 2 Evaluate fx²V4 – x² dx.

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Q: Q3. Evaluate f: 2*+1-5x-1 dx 10

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Q: Solve for A. ЗА t3D A =|

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Q: Let f(x) = (x²-8x+6 (4x+9 for x ≤6 for x > 6 Find the value of f(7). A. 34 C. - 7 Select one: Ο Α O…

A: To find the value of f(7), we need to determine which part of the piecewise function to use. Since…

Q: Evaluate the function at the given value of the input r6) = -9 p³ – 2 7 + 2, tmd r (-). O1.375-

A: Here we have to put the value of 'p' in the given function to get the solution.

Q: ntegrate: 16x³ + 64x² 7x +41 16x² +9

A: ∫-16x3+64x2-7x+4116x2+9dx Lets first divide using long division.

Q: If # f(x) > 48 for x [2,10], then b [ f(a) da ≥ 384, where a =2 and b = 10. a Select one: O True O…

A: First I have written a property of integral and easily find the True is correct option.

Q: Q2 Given that z = 8x2y - 2x + 3y, x = u v, y = u – v %3D az az and ди Find av

A: To find dz/du and dz/dv.

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: Find f(2 x* - 3 V) dx.

A: Given : ∫2x5 - 3xdx

Q: Find x.

A: The given triangle is as follows:

Q: -dx. (3x² + 1)ª Evaluate -1 +C OA. 18(3x² + 1)³ O B, In(3x2 + 1)ª) +C 1 OC. + C 18(3x² + 1)³ x2 +C…

A: Given- ∫x3x2+14 To find- The value of the integral

Q: If y = axn+1,n #-2, then which of the following is equal to f ydx? %3D axn+1 А. + C n+1 axn+1 С. + C…

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Q: Evaluate 5 /25-x2 6 dzdydx /x² + y² Select one: а. 12T b. Non of them С. 14 T d. 15 T е. 16T

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Given x = x=20₁ 6 what is the exact value of cos(2n-x)?

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Q: Find fay (1.2) for f (x, y) = x²In(7 + y) +. 35 19 36 36 19 35 36 36

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Q: Answer for b

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Q: Find dy for x5 + 2y* = 5y dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: If f = 5x²y² – XY² then find df at (3,1) dx O 28 O 20 O None O29

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Q: Sx°e*dx =(_)-e* + c,

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Q: b. 36. Evaluate f(4x³ - 9x5 + 4x² - 6) dx. a. 32x7-45x + 8x + C 32x7 180x³ 4x9 C. b. 3 +8x + C…

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Q: Find the values of c and d that make the function 6x if x 2 continuous. с — d =

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