When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the following form: 1* [sen (6t+ 2u) + sen(14u − 6t)] du - What is the value of atb

Q: To evaluate the integral O of du √a² + u² u² du udu √a + bu Answer: u = What is the function u? What…

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Q: 3. For the function g(x) = x³ – 2x? – 11x + 12, use long division to determine whether each of the…

A: we devide the polynomial by given factor and if we get remainder zero then this given factor is…

Q: B. Write the following expressions in sigma notation 1. (2x1-3) + (2x2- 3) + (2x3 – 3) + ... + (2x11…

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Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: Show that T (1-i) cos- +isin- 40 40 (81-8√3) 6 10 = -√2

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Q: Evaluate the expression (In (3.34)- tan (61.010)-2)/(5.011e0.37 +1)

A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

Q: Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

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Q: Evaluate J, Jo xdzdxdy

A: Given: ∫06∫012-12y∫013(12-2y-x)xdzdxdy

Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

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Q: W laLer Prove the polynomial identity below: (2 – 4y² )² + (4zy)² = (z² + 4y)

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: Prove that for all positive real a we have 22 +5 20x4 2 4/5. 24 x2 +5

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Q: (c) (i) Express the decimal 9.999 in the form where a, b € Z.

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Q: Xn+1 axn_b+Yxn-k -1 (xn−b)ª−¹+y

A: Given: The information showing the proof of a specific theorem.To prove: xn+1=αyn-b+γxn-kxn-bq-1+y…

Q: 5x+h over 5x+h+3 minus 5x over 5x+3, all over h. This is a difference quotient problem in…

A: LCD of the numerator is (5x+5h+3)(5x+3).We make both denominators same then subtract the rational…

Q: Evaluate the improper intergal 1 dxusing the residue theorem. (x2 + 9)?

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Q: 2) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x° + x² - 8x + 3 %3D Count the…

A: Introduction: In algebra, Descartes' rule of signs is a rule for estimating the maximum number of…

Q: CALCULATE THE FOLLOWING USING MINOR COFACTOR AND COFACTOR EXPANSION 3 -8 2 A= 2 -6 3 4 4 2

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

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Q: Smpily by moltipyong (x + 6i)(x-6i) paygomia with こro X-9。 End a

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Q: The following polynomial relates the specific heat to constant pressure of dry air Cp (in KJ/KgK),…

A: Given: Cp=1.2 KJ/KgK. Substitute the value of Cp in…

Q: Find a monic polynomial of least degree in R[x] that has 1-i and 2i as roots.

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Q: Give an example of a polynomial of degree 4.

A: In Mathematics, a polynomial is an expression consisting of variables and coefficients that involves…

Q: Find the rational roots of x* + 8x + 7x-40x- 60= 0. 02,6 О-6, -2 O-2, 6 О-6, 2

A: Given  x4+8x3+7x2-40x-60=0 let, f(x)=x4+8x3+7x2-40x-60 Given that there is at least one and possibly…

Q: Fra) = Sin (2t) Find the 7h taylor Polynomial of

A: Given function is  Fx=∫1xsin2tdt

Q: Which of the following statement is always false? (a) For all integer x, [x] = [-x] (b) For all odd…

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Q: 2. Let k be a complex number and P(x) = 8x³ − 4kx² + (2k+6)x +3. Find all values of k for which P(x)…

A: Given the polynomial  P(x)=8x3−4kx2+(2k+6)x+3 , we need to determine the value(s) of  k  such that…

Q: If I = may be Evaluate I 20 do 1-2p000 + p² written using show that it 3=eja dz (1-P3)(3-P) of the…

A: Let the given integral is  --------- (1)            For evaluate the above integral consider the…