Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =
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Q: Given m // n, calculate x + y in degrees. [16 120° (3y+6) O 36 O 120 E n
A: Topic:- geometry
Q: Exercise 4.7 Consider n observations for which y = a + bxi, b>0, holds. Show that = 1
A: Given that there are n observations. yi=a+bxi
Q: 8) If AB = 9, DE = 6 and EB = 2, find CE. %3D C U.
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Q: Given u(x, t) =t=?e, compute: e 2t
A: We have to calculate uxx of the given function.
Q: In Exercises 9 and 10, write a in the form arT + aNN without finding T and N. 10. r(t) = (1 + 3t)i +…
A: application of differentiation used to solve the question.
Q: Given that P l2 and PAP = D, compute A". %3D %3D
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Q: prove the ged (atb,a?+b³) =16Y2 assuming that gcd (a,b) =1 •
A: It is given that gcd(a,b)=1
Q: 2. If y = x2 + 2 and u = 2x – 1, then du II
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Q: Given u(x, t) = t-²e¯, 2 , compute:
A: We can find the required answer as below.
Q: det(ABA) is equal to OA. det(A) 1 O B. det(AB) O C. det(B) OD. det(B) 1 OE. 1+ det(B)
A: We find det(ABA-1)
Q: In Exercises 3 and 4, find the values of x and y. 3. AXYZ = ARST
A: Given, △XYZ≅△RST XZ≅YZ RT≅ST
Q: 23. Let A = {(x, y), 4.x² + 9y² < 36} C R? Is A connected? pathwise connected? Justify your answer.
A: We Know that connected space is a topological space that cannot be represented as the union of two…
Q: If the i, j entry of A is i times j, show that det A = 0. (Exception when A = [ 1 ] .)
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Q: In the diagram below of ADAE and ABCE, AB and CD intersect at E, such that AE 2 CE and ZBCE ZDAE. 1)…
A: Given query is to find the congruence statment for triangles.
Q: Consider the following model: Y = Bo + B1 + U4, where u = 4+4-2
A: Given information: The auto regressive model is given.
Q: Give a natural deduction proof of V x B(x) from hypotheses 1. Vx (A(x) V B(x)) and 2. V y (- A(y))
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Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…
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Q: (a) Prove that de 2n a>b>0 Jo a+ bcose Ja? - b2
A: We will use basic knowledge of Integral Calculus and trigonometric identities to solve this…
Q: Is the set S= {I E R² | e21+2=2 >1} convex? %3D
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Q: Exercise 2. Prove that if A = B and C z D, then A × C = B x D.
A: Given data: A≈B......(1)C≈D......(2) The objective is to prove A×C=B×D
Q: In AABC, AB//QR and AP : PB = BR : RC. With reasons, prove that PQ//BC. R C
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Q: 5. If A e U(n) and A e C has length one, show that XA € U(n) .
A: If A∈∪n and λ∈ C has length one,show that λ A∈∪n.
Q: Show that for n, m e Z+, gcd(2" – 1,2m – 1) = 2gcd(n,m) – 1.
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Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165
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Q: If (x+iy) = a+ ib, Prove that + a b = 4(a -b*).
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Q: E.
A: By using the figure to answer the following questions by YES or NO.1 Are E, I, and A coplaner.2 Are…
Q: In (R, Tµ), if A = (1,3) n (Q – Z) then A = - %3D O a. [1,3] n (Q- Z) O b. R O c. [1,3] – {2} O d.…
A: Given that, In ℝ,ζυ, if A=1,3∩ℚ-ℤthen calculate the value of A.
Q: In ABCD, BD is extended through point D to point E, m/BCD = (2r - 1), mZCDE = (7x - 19)°, and MZDBC…
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Q: If c >0, |u| <c is equivalent to_______ <u <_______.
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Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D
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Q: a) By using the substitution u = √√x +3, evaluate S. 2 √(√₁ + 3)2 d. dr.
A: Given, ∫142xx+32dx
Q: Given y, = Bo + Biyt-1 + €; and e, i.i.d. N(0, o²), compute: (b) Var(y,).
A: Given information: In the given model the current period is predicted on the basis of its preceding…
Q: Which interpretation is correct? O u1 is substantially greater than µ2, therefore the average…
A: A confidence interval estimate is an interval estimate that includes the unknown population…
Q: 2 Construet a tnuth foble for FPv (avs )]^ [-RV(Qvs]] P>A1(eAR)]=> (R=>P)
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Q: If C = {x:x² + 11x + 30 = 0, x ∈ N}, then C is a/an ?
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Q: Use the figure to answer the following questions by YES or NO. 1. Are E, D, and I coplanar? 2.…
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Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).
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Q: 1. If a, b e R and b # 0, show that: (b) la/b| = |a|/\b|.
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Q: The quartics of Exercise 26 with c held fixed and a to be eliminated.
A: We have to find the quartics of the following with 'c' held fixed and 'a' to be eliminated.…
Q: 6. Given M = {(x, y), 1 < x² + y² < 4} C R². (a) Determine dM and ÔM. (b) Is M connected? Pathwise…
A: Given that M=x,y,1≤x2+y2<4⊂R2 (a) The objective is to find dM and ∂M dM=x,y|x2+y2=1 and,…
Q: In AVWX, VX is extended through point X to point Y, mZXVW = (3x + 13)°, mZW XY = (9x – 14)°, and…
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Q: Exercise 2 Given KB = (X→Y) ^ (Y→Z), and a = (X→Z) Is KB |= a is valid or not?
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: fA is smilar bo A" then all e isenualues oPA mush
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Q: Suppose that X, Y C U. If Pr(X) = 0.4, Pr(Y) = 0.22, and Pr(XnY) = 0.07, what is Pr(X' U Y)? %3D
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Q: show thatt elipoid at makimum volum e s ephere y2 22 az V= 4ñabc
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Q: Exercise 4.6.9. If a < a', show that D CD7.
A: Given that, α'>α The aim is to show that, Dfα'⊂Dfα. It is enough to show that if c∈Dfα' then…
Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).
A: The function is φ(x, y, z)=x2z+ey/x
Q: Consider a S = {x|x"=1} is S, equals to S?
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Q: EF C and 0 are subsets of Y, then %3D
A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- To determine the effectiveness of an oil additive, a testing firm purchased two cars of the same make, year, and model, and drove each a distance of 30,000 miles using the same kind of gasoline, the same kind of oil, the same driver, under the same road conditions. The oil in one engine included the additive, whereas the oil in the other engine did not. At the end of the test, the engines of both cars were dismantled, and it was found that the engine that contained the additive had less wear. The testing firm concluded that the oil additive caused the reduced wear.2. Are the strengths of Alloy A more consistent than Alloy B?Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous orNonhomogeneous
- show that if A occurs in a larger proportion of the cases where B is than wgere B is not, then B will occur in a larger proportion of cases where A is than where A is not.Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.To determine if chocolate milk is as effective as other carbohydrate replacement drinks, nine male cyclistsperformed an intense workout followed by a drink and a rest period. At the end of the rest period, eachcyclist performed an endurance trial in which he exercised until exhausted, and the time to exhaustion wasmeasured. Each cyclist completed the entire regimen on two different days. On one day, the drink providedwas chocolate milk, and on the other day the drink provided was a carbohydrate replacement drink. Thedata is given in the table below. Is there evidence that the mean time to exhaustion is greater after chocolatemilk than after a carbohydrate replacement drink?
- in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?Show that: if A occurs in a larger proportion of cases where B is than where it is not, then B will occur in a larger proportion of cases where A is than where A is not.An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 a. Verify that the design generators used were I = ACE and I = BDE. b. Write down the complete defining relation and the aliases for this design. c. Estimate the main effects.
- Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)An article in Industrial and Engineering Chemistry (“More on Planning Experiments to Increase Research Efficiency,” 1970, pp. 60-65) uses a 25-2 design to investigate the effect of A = condensation, B = amount of material 1, C = solvent volume, D = condensation time, and E = amount of material 2 on yield. The results obtained are as follows: e = 23.2 ad = 16.9 cd = 23.8 bde = 16.8 ab = 15.5 bc = 16.2 ace = 23.4 abcde = 18.1 Prepare an analysis of variance table. Assume all two-level and three-level interactions are negligible.Can you help me determine what my s & n are as well as the remaining steps?