1 8.) d.x (x2 + 16)3/2

Q: Q3 Prove that In Coth x 1

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Q: 3) Find x if IS = x and IQ = 2x – 5 S. R

A: given,     IS=x , IQ=2x-5

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

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Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: 11.6.2. f(x, y) = x4 + y+ – a² – 2xy – y². - -

A: As per bartleby guidelines we only give first question answers.

Q: 1. Derive the formula V1+x2 csch-1x = In ( +

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Q: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over O 1,21 O 10,1[ 13,4[…

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: 4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is…

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Q: 11. If AJKL - AMKN, find the value of x. 12 N 20 x+1 Зх - 2 J

A: It is known that in a pair of similar triangles, the corresponding sides are proportional. It is…

Q: : 2 < x < 4} and B = {x € R : –4 < x < 1}. Prove

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Q: d) 85% of all students finish the activity in less than secon Submit Question

A: X~N( μ = 38.6 , ? = 6.3 ) μ = 38.6 , ? = 6.3 Z-score =( x - μ )/?

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 2 16п xV8 – x3 dx = 9V3 3 Show that - %3D

A: Let I=∫02x8-x33dx. First, convert this integral into the form of the beta function. So put x=2t13…

Q: 7. 7. Suppose X - N(u.4), which is true?( X- (A) N(0.1): (B) PIX S0} = 4 (C) PIX-u>2; =1-0(1): (D)…

A: Here we use the properties of normal distribution to solve this problem.

Q: (7) 13. Find two positive numbers, z and y, such that their product is 500, and z +3y is as small as…

A: Topic: calculus

Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: 2. Show that div r = 3 %3D

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Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: 2 3 :7 dx x7 +c O None 7 7X3 +c x 3 9. 3 -x7 +c

A: We can find the correct answer as below.

Q: 1. Given that r + px+q and 4x +q have a factor (x-r) where p,q and r are non-zero. Show that 4p…

A: topic - quadratic equations

Q: x" – x" + 4x' - 4x = 20Cos(21) x(t) = ? =>

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Q: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over ]3,4[ 12,31 O 11,21…

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Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 4x − 0.2x2 for…

A: The average pollen count in a certain city on day x of the pollen season is P(x)=4x-0.2x2…

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

A:

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: 17. Find all values of where x? – 6xy+ 8y² = 0, and x # 0.

A: we have x2-6xy+8y2=0, and x≠0 Now,  x2-6xy+8y2=0x2-2xy-4xy+8y2=0xx-2y-4yx-2y=0x-2yx-4y=0

Q: 8. Determine the value of k, given that: (x -k) dr=0 (3x +1)(r+1)

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: Find x. 2. 7 Mathilits.comn 4.

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Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

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Q: 17. y = x² – In x, 1<x< 2

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Q: Q4 Legendra polmomial Pe (X) =2 + (3x+1) than Prove that (2u+1) Puck) =Pmnil (X) -P(X) n-1

A:

Q: 9. In OP, QR = 7x – 20 and TS = 3x. What is x? -

A: Joining QP and TP, we get the radius of the circle.

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: (2) Find the value of ß (,-)

A:

Q: By 2 Cas X the Same. way prove that

A: Prove that J-12x=2πx cosx

Q: x | X> 3) =? and E [X | X> 3] =?

A: X ∼ exp (λ)  having pdf  f(x)=λe-λx      x&lt;0

Q: 1 Use a trig substitution to evaluate J Vex - 36x +37

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Q: 3, 5x 60(x2 + *), 3 b) Y = In 7.

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Q: (33) Let X = b(20, p) and E-x) = E(3–10x) find p. р.

A: Let X follows binomial distribution with parameters ( n =20, p) The mean of X is, Use the…

Q: 45. Find x in 32/3 = 9*. %3D A. 2 C. D. B.

A: The given equation, 323=9x

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…