Find a formula for the general term an of th assuming the pattern of the first few terms {0, – 5, — 10, – 15, — 20, ...} Assume the first term is a₁.

Q: 5) f(n) = 2n-5; Find f(-8)

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Q: n=3 3n+ 5 n(n − 1)(n − 2)

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Q: (1) Calculate the average value of f(x) = x¹⁰0 on [0, 1].

A: See this solution in below

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Q: In Problems 1 and 2, y = 1/(1+cie) is a one-parameter family of solutions of the first-order DE y'=…

A: Given y'=y-y2 y0=-13

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: 5 2arcsec(e) +5 3 2arcsec(e*) √e²x-1

A: Given that a integration and we solve this integration by using general property of integration. We…

Q: 33. Σ &"(x − 2)" n=12

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Q: Using the method you deem appropriate, solve the following equations and calculate the value of the…

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Q: PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q (x) are inverses of each other…

A: Given: The given functions are p(x)=3x-24x+5, q(x)=2+5x3-4x To prove: we have to prove that the…

Q: For the function f graphed in the accompanying figure, find the following limits. NOTE: If a…

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Q: csc (lnx) cot (In x) 4x²+x² csc(lnx)

A: To evaluate the following integral.∫cscln x cotln x4x2+x2 cscln x dx

Q: Determine the linear function ?f knowing that the slope is 9 and ?(10)=18f(10)=18. ?(?)=f(x)=

A: The objective is to determine the linear function.

Q: respect to x without using the formula. Use y instead of show differentiation. Use / for fraction,…

A: we will find the required.

Q: 6. f(x) = sin(2x)

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Q: Below are pie charts representing the U.S. voting age populations in 1960 and 2016¹ 1960 US Voting…

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Q: B -2 C -1 2 -1 O -1 -2+ Graph of f' Let f be a differentiable function with f(1) = -2. The graph of…

A: Given that a function f is differentiable and f(1)=-2.  Also the graph of first derivative of the…

Q: If p= .20, how large a sample is needed to justify using the normal approximation to the binomial…

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Q: Let lim g(x) = L. Which of the following is necessarily true? A (В D g(x) is continuous at x = a…

A: Given: The given limit is limx→agx=L To find: we need to find the necessarily true statement about…

Q: An equation for the line tangent to the graph of the differentiable function f at x = 3 is y = 4x +…

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Q: (x+3)dx 1-x2

A: The answer is given below

Q: onsider the function g(x) = 5 - 4x + x² If the lim g(x) = 1, then what is the value of a x→a 0 1 O-2…

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Q: What is the general solution of the differential equation y" - 2y +y=0? A B © (D) y=C₁₂e¹+C₁₂xet y=C…

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Q: 6. Use the Sandwich Theorem to prove that lim x cos 7 = 0. X x-0

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Q: What is the range of the given function ? x + 3, if x 3 O a. (-∞,0) U (2, + ∞ ) O b. (-∞ 8 0] U[2, +…

A: Given gx=x+3if  x&lt;-3-9-x2 if  -3&lt;x≤3x-1 if   x&gt;3To find : Range of gxSolution :

Q: 3. S 10 dx (x + 1)(x² + 9)²

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Q: What is the general solution of the differential equation 2y"+y' - 6y=0? A There is no correct…

A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

Q: The null hypothesis specifies a value of p for the population. What is the corresponding statistic…

A: The null hypothesis specifies a value of p for the population.

Q: The differential equation y - 2y - 3x2=0 is linear and homogeneous. A FALSE B TRUE

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Q: ). Calculate the integral. (Use C for the constant of integration.) dx x 16x4 − 1…

A: SOLUTION-

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: Use integration by parts to find the following: [(t+ 7)e²²+3 dt = | 2t+3 t=+C

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Q: If the 100th term of an arithmetic sequence is 383, and its common difference is 4, then its first…

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Q: Find the common difference and the 100th of the arithmetic sequence   If a5 = 6 and a14 = 42

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Q: 2. Let R be the region in the first quadrant that lies below y = 1-x². Use the shell method (method…

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Q: Give an example of a basic function that is not continuous on the interval 2).

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Q: Find a function of the form y = function shown below: -13 12 -10 -9 -6 -5 -2 ^^ y = A sin(kx) + Cor…

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Q: The concentration C (in percent) of a drug in a patient's bloodstream. (t) hours after injection is…

A: We can find the answer in the below steps.

Q: M8 n=4 1+ n -n

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Q: d^2y/dx^2-6dy/dx+9y=3xe^-3x+3x^2-2

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Q: Let g(x) = cos(x), and h (x) = -3x4 - 17x³ - 4x² +92x + 113. If f is a function such that g (x) ≤…

A: This is a problem related to sandwich theorem of the limit. Please follow the procedure given below.

Q: 3. Without using technology, find the length of the piece of y = x³/2 from (1, 1/3) to (4, 8/3).…

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Q: Consider the graph of the function /(x) below. Which of the following is true? 1. lim f(x)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the left-hand side of the…

Q: What is the auxiliary equation associated with the differential equation y'''- 3y"+4y=0? (A m³-3m² +…

A: Solution

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A) TRUE B) FALSE

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Q: PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q(x) are nverses of each other…

A: Given that px=3x-24x+5  ,qx=2+5x3-4xSolution :Given condition…

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

A: Topic-Exponential functionsWe are given proportion of shoppers who have seen ads after t days of…

Q: What is the order of the differential equation x2dy/dx-2xy"=0?? (A) 1 (B) 2 C) 4 (D) 3

A: Order is given by the highest derivative present in the differential equation.