The number of units in z31[x] is 22 None 28 O30 O O O

Q: Find n, where (x²+ ax+)² o(x"). Hint: expand (x*+ax+J

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Q: Evaluate 1/2 dt O a. T/2 TC n/16 Od. 7/8

A: This is integral by substitution. As given in the hint we can substitute u=t2 to solve the given…

Q: [In (3j) Evaluate: z 2+j

A: The general form of a complex number is given by z=a+jb, where a,b are two real numbers and j=-1.…

Q: Evaluate f1 dy Vy-1 O a. 2ỹ+ 2ln(ỹ – 1) +C O b. 2j – 2ln(/ – 1) + C O c. None\ of\ the\ following O…

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Q: An automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are…

A: Given: 50% of all tune-ups are done on four-cylinder automobiles. 20% on six-cylinder automobiles…

Q: Find A V Al2) v Al3] , given [1 0 01 A = |1 0 1 lo 1 ol

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Q: Evaluate cose de. n/2 O a. -1 O b.0 O. 1 V2 O d. 2

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Q: L{cosh 3t} = %3D s2+32 Select one: O True O False

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Q: Determine the non-permissible value(s) for Select one: O a. 1 x = 0, X = 12 O b. x 0 OC. 1 x=0, x=…

A: We can find the answer as below.

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

A: Note:- As per the company guidelines we can solve first question. I hope that the given solution…

Q: Which of the following is the removable discontinuity of f(x) = X* -3x+2, %3D O A. X=1 x² – x O B.…

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Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: Evaluate (a) Ex=0 Xp(X) and (b) Ex=0 X² p(X), where p(X) = (Np°q\ -x. %3D

A: The expectation of a discrete random variable X is a measure of central tendency of the probability…

Q: Differentiate. x ujX = A 2 In x O (In x)2 x U -x u No new data to save. O00 F5 000 F4 F2 F3

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Q: Stan-1x dx = xtan-x - In(x² + 1) +. Select one: True O False

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Q: MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

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Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

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Q: If x is any real number, then cosh x Σ n=0 n! + 198 Σ n=0 (-x)" n!

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Q: Find a general formula for dr ax + b dx" cx +d

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Q: 18. Find Itm,..(xe -x) O 2 O O O

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Q: The value of the triple integral +y is None of these O 7/4 O 7/3 O7/12

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Q: (b) Use a calculator to verify that Σx = 1.955, Σx2 = 0.552, Σy = 30.1, Σy2 = 151.65 and Σxy =…

A: Correlation coefficient: It is used to identify whether there is linear relationship between two…

Q: Calculate the following assuming that E[X] = −2.3 and V ar(X) = 12.1. (a) E[5X − 2] (b) Var(−3X +…

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Q: dx is finite -1 × Select one: O True False

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Q: Divide P(x) by D( x) and express P(x) in the form P(x)= D(x)- Q(x)+ R( x). P(x)=x+3x2- 5x+1,…

A: Definition used -            Synthetic division - We can use synthetic division when the divisor is…

Q: For all numbers x: Ixl >.. Which is the appropriate counterexample? O 1 O 1 O 2 O 2

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Q: What is/are X-value(s) in ex2-3x+2)= 1? 1 (2,1) none of these O O

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Q: In SOR method the value of 0 < w <1 Select one: O True O False

A: The SOR method is called as successive over relaxation method . The is called the relaxation…

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: (c) Use a calculator to verify that x = 58, x² = 914, y = 648, r² = 94,842, and xy = 9,073. %3D…

A: Compute r =?

Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: Which of the following is S(x) = x2 - 7x + 10 %3D 11-5x S(x) = 3x-8 S(x) = 6- x f(x) = /2x – 5

A: We can find which option is not one to one as below.

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

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Q: Evaluate the integral. O a. (9-7x)e* +C O b. (-5+7x)e*+C Oc. (5+ 7x)e-*+C O d. (9+7x)e*+C (-5- 7x…

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Q: Find the Four er for r fces -| <x <o メ=0 ○くxく

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Q: 4. Evaluate the following definite L (x + 1)(x – 1)daæ а. b. +e*)dr

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Q: Can you please solve this question and show the steps

A: a. Finding the probability of getting 7:It is given that die is rolled one time.When a six sided die…

Q: Evaluate the following 17 dæ J 10x(In(x))5

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Q: Verify that Al2 = I½A = A for an arbitrary A E M2x2(C).

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Q: Let f (x) = -2r, de fined on -1, 1], then L (P ) = 2 (n– 1) 2- 4 (n+1) 4 (n – 1) 4 (п-1) 2n2

A: We need to find the lower Riemann sum

Q: The characteristic of Zs[x]/ is 6. 3 O None of the choices

A: The characteristics of the function

Q: solve. write your anS w ers in suentific (-3.4 x 10*) + (5.2 x 10*) © (6.812 x 102") + (4. 3 x 102)…

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Q: Find all possible o E S9 such that o (2143567). %3D Justify your answer.

A: Consider the group S9. Given σ∈S9 be such that σ4=2 1 4 3 5 6 7. Since σ4=2 1 4 3 5 6 7 is a cycle…

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: dx x² – 4 X - 2 +C =†In x+2 Select one: O True O False

A: The answer is:

Q: Which value for z is a counterexample to the following statement? For all positive values of x, x >…

A: counter example = an example that opposes or contradicts an idea or theory.

Q: Find The coefficient cof x ard X in The expasion of Ox°-)

A: We have to find the coefficient of x9 and x10 in the expansion of given series.   According to our…

Q: Let f(n) = 2n – n? + 10n – 7. Show that f(n) is O(n³) using specific values of C and ng-

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.