Prove or give a counterexample: For any n greater than or equal to 1 and A, B in R^(n x n), one has det(A + B) = det(A) + det(B).

Q: The answer is incorrect because the question requires to prove it without fully expand the terms.…

A: This question can be solved using the concept of general term of binomial expansion.

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Q: In ALMN, LN is extended through point N to point O, (x – 4)°, mZMNO = (4x – 17)°, and mZNLM = - -…

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Q: rivial of

A: To find the non trivial of Z8 as,

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Q: 2) Sove the integraul of funetior7 x* by smpsofts rule wher ne 6 and (1,3).

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A: Given: ∫25fxdx =2, ∫23fxdx =1, ∫25gxdx =-5, ∫23gxdx =-2 To evaluate:∫35fx-gxdx We know that…

Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

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Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

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A: Consider a function: y=1x-2……1

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

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Q: Find daivative using Ab intiative Methed Of the function 3. |

A: Let the given function be y -y = 3x3+5x2-2x-12Differentiating with respect to x -dydx =…

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Q: PROVE THESE PROCESS PLEASE!!

A: First, we will open the brackets and then simplify the…

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A: We have to find given integral.

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Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

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Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

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Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: Prove using the IVT. ex + In x = 0 has a solution.

A: IVT: If f is continuous on the closed interval [a, b], f(a) ≠ f(b) and k is any number between f(a)…

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Q: Use linear approximation to approximate the value of In(0.83) two decimal places. In(0.83) ,

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Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

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Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant

A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.

Q: Show that x + is increasing on [1, 0).

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Q: Prove that, cosh-'x = In |x + vx² – 1 for x 2 1 -기/

A: This question is based on Cosine hyperbola.

Q: Use any method to evaluate the integral. 8× – 8 -x -dx 8* +8-*

A: To evaluate the integral

Q: Evaluate the indefinite integral. 4х — 2 - -dx (4x2 – 4x + 7)³ - + C

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A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: to itself. Show all your work to recei

A: given as,

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Q: it is unbaised estimated of a Then Show That ta is baised estimated of 02. Theorem:- if

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Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Evaluate the integral. '3 4,3 3,2 dt -

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Q: 4014H al

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Q: Express x8. -x over Q[æ] and over F2[x] as a product of irreducible

A: Let f(x) = x8 — x. Over Q,f(x) = x(x7 — 1) = xϕ1xϕ7x=xx-11+x+...+x6 Note that  ϕ1x and ϕ7x are…

Q: hraj h(x) = 3x-2 x347

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Q: Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the…

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Q: Show that cothx x+1 In X-1,

A: Solution

Q: Prove that it is impossible to maximiz

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Q: Prove that 1- cosh -1 x= In(x+ Vx- -1 1 x+1 2- coth -In x-1 X = - Vi+x? .2 1 3- csch -1 x = In(-+

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Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.