What function is represented by the power series E=o(-1)"x3n? n3D0 a. 1-x3 b. 1+x3 с. e-3x d. e3x Qone of the above 1.

Q: 8.2 #7. Evaluate each Geometric Series or state that it diverges. 1+음 를 +를+ ~

A: Given series is 1+eπ+e2π2+e3π3

Q: 27 Find (all) the value(s) of c such that ) 3c²n 8. %3D - n=0 (A) c= 3 (В) с 3 4 (C) c = - (D) c = }…

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Q: 3. Evaluate the series 2 5n. n = 3 а. 125 b. 38 C. 210 d. 165

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Q: There are 20 observations in a grouped series, and the geometric mean of the series was calculated…

A: Given that, there are 20 Observations means the sample size is n= 20 Geometric mean is,  G.M.= 6.28…

Q: Find L[4t ] 60 T 8s2 60 /T 8s2 60 T 60 3/2 7/2

A: We have to find the Laplace transform of 4t52

Q: Calculate the third term of the power series of sin x if x = 1.5. Answer.

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Q: Given the function f(x) = 3x² - 8x + 8. Calculate the following values: f(-2)= f(-1) = f(0) f(1) =…

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Q: Use the binomial formula with n = 1/3 to find an approximation to 3√28 up till first four terms is.

A: We have to find 283  i.e. 2813 Now 2813  can be written as 1+2713 We know the Binomial Expansion of…

Q: . Evaluate the geometric series ²1 12 n=1 9.5n-1

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Q: 2х f(x) = (1 – x²)² a. Express f(x) as a power series. b. Determine the sum of 2n=1-I° 4n- c. Find…

A: The given function is: f(x)=2x(1-x2)2

Q: t taken for an investment to increase by 20% when the interest rate is 6% is given by t= ln1.2/0.06.…

A: The time t taken for an investment to increase by 20% when the interest rate is 6% is given by…

Q: ... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x…

A: Given query is to find the correct option to prove the identity.

Q: 2. Notando argued that the series 1- is alternating. Tando disagreed. Which of the two will you…

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Q: -What are all values of x for which the series

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Q: In an experiment, the probability that event A occurs 1 8. and the 9' is the probability that event…

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Q: nn 3 + cos = 2 1. Let Sn for n0. List the first eight terms of the sequence sn. Give an example of a…

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Q: -5/7-3x with two intervals 36/5 and 19/5

A: For two Intervals  (36/5, 19/5) For X= 36/5 The Value of given expression is,

Q: The sequence a,,= (3)-1 is graphed below: 10 9 (4.9) 8 7 6 5 4 3 2 (2.1) 6 7 8 9 10 Find the average…

A: Given query is to find average rate of change.

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A: fx=14-x

Q: 5 > (10k – 12) - > (7 – 4n) x )(-6m) 11. Evaluate the given series k=3 n=2 m=1 А. —108 В. 3574 С.…

A: In the given question we have to find the value of the series. we calculate one by one. At first we…

Q: In an experiment, the probability that event A 4 - the probability that event B occurs 5' occurs is…

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Q: Which if the following is a power series representation of the function - 1+x? f(x) = = +∞ Σ(-x" -…

A: Given: function f(x)=-1+x1-xwe know that11-x=1+x+x2+x3+..........=∑xn0∞where…

Q: Σ Suppose that an 8 and > bn - 2 and a1 9 and b1 = 1, find the sum of the series: %3D n=1 n=1 E(-…

A: Given ∑n=1∞an=8∑n=1∞bn=−2Also, a1=9,b1=1

Q: Obtain the 4th term of the power series of COS(x) for a value of x = 4.91.

A: Let us solve the given problem in the next step.

Q: 12. * 2 points 50 ) is multiplied by 5? What is the product when ( 25 1 625 13. * 2 points Find the…

A: We will use the formula ab×ac = ab+c and abac = ab-c 12) We need to evaluate 505-2 multiplied by 5-2…

Q: n2 n! (log (2))" n=1

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Q: {dn} = SA { (. (₁₁²³²7) - (₁~^²+₁ ) ) ²^ } - (ⓇP) :)

A: The given sequence is defined by the formuladn=15((1+52)n−(1−52)n) We can find the first five terms…

Q: Let xo= 3.1 and consider the sequence Xn+1=XA tan (Xa). The sequence of numbers gets closer and…

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Q: 5. Two coins are tossed 100 times to determine the occurrence of all the events in its sample space.…

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Q: Which one of the following sequence does diverge? (-1)n+1 an= 2n-1 а. Ob.an= (-1)"(1-÷) c. an= sin (…

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