20. Let D = {r € R: r > 0 and a² < a}. If sup D = b which of the following is true? A. b= a B. 62 = a C. b= ±Va. D. b> a E. None of the above.

Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

Q: S Ve™ dæ =|| %3D + C

A: Given that, the integral is ∫ex5dx. ∫ex5dx=∫ex15dx=∫ex·15dx=∫ex5dx Let u=x5 then, dudx=15du5=dx

Q: T. 16х —1 R 30х + 4 S

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Q: 1 xsin-'x? dx V1-x4 Evaluate: A 3n2 B. D.- 144 А. 121 C.

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Q: Find the lowest value of y = 8 +x 6 in the interval ≤ x ≤4. 2

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Q: 6. It is given that A = | and 4=11. Find the value of x. 5

A: Solution

Q: time needed by a student to finish a quiz is what variable? A. Ordinal B. Discrete C. Nominal D.…

A: Given that The time needed by a student to finish a quiz is what variable?   A. Ordinal B. Discrete…

Q: Let D; = {x € R|-sxs}= [-}| for each positive integer i, find U-, Di %3D a. b. Ni- Di

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Q: Prove that CL dx = ln lx1+C. Chint): set x

A: Please refer to the image below.

Q: T -6x U 6+ 10x 160 °

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Q: 1 In the relation . If R, =1 and %3D R R R, R,%3D3, find R.

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Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: Find the divided difference f[x,x,,x,], if A²ƒ (x,)=4 and h=2. а. 3 O b. 3 О с. 7 - 2 O d. None of…

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Q: Find AT, ATA, and AAT.

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Q: Let X-bin(12,0.4), then P(5 <= X < 10) is closest to: a. 0.334 b. 0.562 c. 0.332 d. 0.335 e. 0.559

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Q: 27. Given that - what is A. = < B. C. D. s[, ; equal to? n E.

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Q: Q. Let X = {m, n}, and = {6, X, {m}, {n}}. Define the function Hn:E- (0, o0) by %3D Hn(A) ={ 3 if n…

A: measure theory

Q: Q5.Given that W = f(x.y.z)% x+2y+, find : aw aw in terms of s and r, if and x=, y=r +Ins, =2rr.

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Q: i. Given x = -0.4 and y = 2.1. Evaluate the following |xy| a. b. |x + yl |x| + ]y] C.

A: Mode convert any number into positive.

Q: 1 +ag, what is the value of 7? 4. 7 If || 4 12

A: solving linear equation in one variable

Q: P(0.51 ≤ Z ≤ 1.4) =

A: Draw the normal curve and shade the area between z=0.51 and z=1.4.

Q: sing. sinnx dx

A: Integration by parts: - Integration by parts is a technique for combining the output of two or more…

Q: Q2.Let The deswative f ù f CaJ= %3D

A: The objective is to find the derivative of the function.

Q: 5. If E(X)= 3 for some r.v., then E(2X -1) is А. 5 В. 4 С. 6 D. 3

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Q: dx using Simpson's rule. 3 Q5. Evaluate

A: Here Simpson 1/3 is not applicable.

Q: 13. X= If AJKLANMP, find the value of x. Set up Equation: 49 9x + 1 K L P x + 5 14 N

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Q: P(−0.71 ≤ Z ≤ 1.34) =

A: Draw the normal curve and shade the area between z=-0.71 and z=1.34.

Q: Find the value of x that makes AJKM~ANKL. 6. x + 2 J K L. 8. x + 7 M.

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Q: 14. Determine y = 3x EDI DITED Ee, if any, the tangent line t EDBYS BY JO JOHN OHN GI) = 2x³ – NGIL…

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Q: If x = t² and y = t³, then O O 0 03/1 3/41 Other: =?

A: Given a equation of a function in parametric form.

Q: VII. Given the following: U = {x|0 < x < 20} A = {2x|0 < x < 5} B = {2x – 1|1 < x<7} %3D Find the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

A: