What is the coefficient of x' in (3-x)10 O a. -C(10,3)* 33 O b. C(10,3)* 33 O . P(10,7)* -33 O d. C(10,7)* -37

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

A: Use the properties of lograthim and simplify.

Q: 5. Find the on the interval [0, 4]

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Q: Show that 1/2 ( Tn + Mn ) = T 2n

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Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: In x /1+ (In x)² -dp-

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Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: 27. Verify ldt ip|1| =x|x]. Hint: Consider x > 0 and x <0 separately.

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Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: 6. Find a²z дгу of z = In(xy)

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Q: Evaluate In x x (4 - In² x) - In 14- In² x | +C - 2 In 14-In² x | +C 12 -dx In | x (4- In²x) | +C In…

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Q: السؤال 27 If z,z2=0 -zz=0 or z2=0 0 صواب ihi

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Q: Show that 100 1 arctan(100) – arctan(2) + 1 1 < arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

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Q: 15. Let z = 2cos0 + i(1 – 2sin0) where -n < 0 < n Show that Iz – il = 2

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Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

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Q: In (x²) esin(2r)

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Q: a n eln t--+

A: Given a function : h(x)=31-2x+2 We need to find the graph of this function.

Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: see the equation as attached here

A: Solution:Given    0&lt;an≤bn and∑n=1∞an divergesTo prove:∑n=1∞bn diverges

Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

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Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: It is possible to regress x1 on y. a. True b. Falas

A: From the given dataset we have to check that , is it possible to regress X1 on Y1  or not.

Q: 2. What is the largest possible c in (1) if X=R² and x₁=(1,0), x₂ = (0, 1)? If X = R³ and x₁ = (1,…

A: Given: c To find: a) X=R2b) X=R3

Q: ν4-x (h) N(x)=; In|x|–1

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Q: Prove That Cn) =nsh ツールがー

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Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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Q: Assume that (8) ∞∑n=1nanxn−1=∞∑n=0anxn∑n=1∞nanxn−1=∑n=0∞anxn for all x, and determine what this…

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Q: 2 In x | Show that 4 x* +1 16

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Q: Suppose X~N(112,16), and Z~N(0,1). Then x = 112, is equivalent to z = ______.

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Q: 5) Prove that d tanh ) |-x2

A: Prove that  d/dx[tanh-1x] =1/(1-x2)

Q: Suppose X~N(113,18), and Z~N(0,1). Then x = 94, is equivalent to z = ______.

A: Given that, Suppose X~N(113,18), and Z~N(0,1). Here, mean μ=113 and standard deviation σ=18

Q: Show that If |z| = 1, then: -1 = Z

A: z is a complex number. z=a+ib |z|=(a+ib)(a-ib)     =a2-b2 if |z|=1, then a2+b2=1

Q: What are the value for sup e-* = е x>0 and inf e * - = XER

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Q: 17. Prove thatsin x = =x 1-x2 dx

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Q: 6) Prove mathematically that (1 grad = 0.9 deg)

A: We know, that 1grad= 0.9 deg.  we can solve any other similar problem by multiply the number of…

Q: (2) Find the value of ß (,-)

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Q: 5. Evaluate the integral JI. dA, R = [-2, 4] × [1, 3]. R

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

A: Prove that J-12x=2πx cosx

Q: A complwx number z is a number of the form z=x+iy, x,yER

A: Both the statements are TRUE

Q: Prove that le-2z| 0.

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Q: 14. If u(x, y) = x² cosh(xy² + 1), evaluate in the simplest term the expression ди 2х ди -- ax

A: We are using partial differentiation techniques. we have to recall the formula for differentiation…

Q: By expanding both sides of the identity (1+ x)"+4 = (1+x)"(1+x)* prove that ("**) - (") + «(,",) +…

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Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

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Q: of dr? e-ex

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Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: of 3 ty ?

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.