If the interval [2,7] is partitioned into n= 8 subintervals of equal length, what is Ax? Ax = | (Type an exact answer in simplified form.)

Q: 3,Find the max, min, infledon Points an d the intervals eln which the F unc tHon on

A: f(x)=4x3+6x2-6x-4f'(x)=12x2+12x-6f'(x)=012x2+12x-6=02x2+2x-1=0 x=-2±4-4(2)(-1)2x=-1±32     (critical…

Q: Find the Riemann sum of f(x)=x^2-4x-12 on [0,9], where the partition number is n=3 and use the right…

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Q: A population consists of 4 units with values 156, 149, 164 and 155 respectively. Draw all possible…

A: Given that Population size N = 4 Sample size n = 2 Then possible samples WOR are NCn = 4C2 = 6

Q: The interval [1, 5] is divided into eight subintervals. (a) What is the left endpoint of the last…

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Q: 4. Find the lungth of le chord amd'its distane from the ankr. A 2.

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Q: Find the Riemann sum of  f(x)=x^2-4x-12 on [0,6], where the partition number is n=3 and use the…

A: Given f(x)=x2-4x-12 on [0, 6], where the partition number is n=3.

Q: If n = 18, then the interval of the form (- t(n-1), alpha/2 , t(n-1), alpha/2), that contains 99% of…

A: From the given information, number of observations n = 18. Confidence level  Level of significance

Q: Determine the intervals for the following senies converaence n-1 () (5x)"

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Q: Suppose the interval [4​,6​]is partitioned into n=4 subintervals. What is the subinterval length…

A: Given interval = [4,6] So, a=4 and b=6 Given n=4 So subinterval length is:

Q: Assume X,. X,.... form a sequence of independent RVs, each uni- formly distributed on (0, 1). Let…

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Q: The 5th Shell of an atom has a maximum capacity to contain 50 electrons. Select one: O True O False

A: To find the number of maximum electrons in 5th shell

Q: If  f(x) = 5x2 − 4x, 0 ≤ x ≤ 3,  evaluate the Riemann sum with n = 6, taking the sample points to…

A: Definition used -            Riemann sum using right endpoints-…

Q: Suppose the interval [1,9] is divided inton subintervals of equal width, and C represents the left…

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Q: If f(x) = 8x2 − 5x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be…

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Q: 9. In(1 – x²) = -) on the interval (-1, 1) n=1

A: We know that ln(1-x)=-x-x22-x33-x44-...=-∑n=1∞xnn     ...(1) on the interval (-1, 1)

Q: 3. use integr al test to determine given rerie s wheth er the is conver gent diverg ent . Or a. n=1

A: Given problem:-

Q: Suppose the interval [2, 10] is partitioned into n subintervals of equal length. Then the length Axk…

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Q: What is the midpoint Riemann sums up f(x) = x? on 1 2 3 2'3 %3D the interval [0,1], relative to the…

A: In a Midpoint Riemaan sum, the height of each rectangle is equal to the value of the function at the…

Q: Prove that, among all rectangles with a fixed perimeter a square has the largest area.

A: 1) Let the length of the rectangle be l. Let the breadth of the rectangle be b. Perimeter of the…

Q: . Use the inegral test to show that =1 1+n2 100 converges. hDoes the alternating serios tost anply…

A: As per our guideline we are supposed to answer only first asked  question. Kindly repost other…

Q: Find the Riemann sum for f(x) = x + x², –2 < x< 0, if the partition points are -2, – 1.5, –1, -0.7,…

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Q: The interval [0,5] is partitioned into nn equal subintervals, and a number xi is arbitrarily chosen…

A: The given interval is [0,5]. Find the xi.

Q: If ø + SCR is bounded above, then .S has a supremum إختر واحداً: ibs

A: I have proved by contradiction

Q: Use the method of, logant to differentiate the fune tion thoms d fferentiation Do not use any other…

A: The solution are next step

Q: 1 vaniable, and assume that the p are transmitted, what is the proba ation and suggest an accurate…

A: Given : p = 10^-3 = 0.001 n = 10^4 = 10000 The number of bits received in error can be modeled by a…

Q: Suppose the interval ​[−3​,−1​] is partitioned into n=4 subintervals. What is the subinterval…

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Q: - Prove thas the scries 2+x2 3+X2 4+x niformcy conuergen2 in any interval?

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Q: For for any pestive integor n Show that %3DFHE nth fibonacci term fn=the

A: We need to show that , for any positive integer n ,  f1 f2 + f2 f3 + ....... + f2n-1 f2n = f2n2…

Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if…

Q: Use the ratio test to discuss the Con vergence or divergence of the seríes which s the Sum from n1to…

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Q: sample of size n from N CO, a2) Then show That * Ex;2 is an Theorem- a X, - - be a yandom unbaised…

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Q: Prove for uniform covergence the series 1 „VxeR. (By using Weierstass's M-test). 5 7 2 n=1 n" +n'x?

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Q: Let X be the amount of soda released by a soft-drink dispending machine into a 6-ounce cup. Assume…

A: Given information: σ=0.25 a)  P-value for the quantity, where no more than 0.5% of the releases…

Q: The interval [0, 4] is partitioned into n equal subintervals, and a number x, is arbitrarily chosen…

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Q: fle) sinzdz Compute

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Q: If (an) tends to infinity and (b,n) is bounded, with bn > 0 for all n, then (an/b,) tends to…

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Q: 8. Show that the sequence f,(2) =. converges uniformaly in the region 1+ na l2l2 2, but does not…

A: Show that the sequence fnz=11+nz converge suniformly in the regionz≥2, but does not converges…

Q: A company sells candy in jars that each have a volume of 3 cups. Each jar is filled above a certain…

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Q: The volume of a section in a thread is given by=V = 4Sinx(1 + Cosx). What is the value of x that…

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Q: Find the minimum diameter of a (50 m)- long nylon string that will stretch no more than (1 cm) when…

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Q: Since, F is bounded both in LOR) and in lIR), it is Latnded in LLIR) forall fe[1,0) (Prdtem 31).

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Q: Given f: [2, )IR, prove that fn (x) = けx" It, converger uni formly to f6)-o.

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Q: The average number of customers at a windów of a certain bank per minute during banking hours is…

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Q: If o + SCR is bounded above, then S has a supremum. Select one: True False

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Q: Suppose the interval [1,9] is divided into n subintervals of equal width, and Ck represents the left…

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Q: The sag correction for a certain 100m tape, supported at the ends only is 0.24 m, When the same tape…

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Q: Nine Starbucks are located in a 3 mile by 3 mile square area in which there is a 1 mile by 1 mile…

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Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, .. ., n} such that no element in the…

A: We have to find the number of Surjection from one set to another set.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.