Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. 1 16 81 256 625 2 3 4 5 6

Q: 7. Given: y = 3 ; Find: dy/dt V16+tª -613 (16+t*) -2t3 (16+t*) (16+41) 글 (16+t*) ? (E) None of the…

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Q: Let y = f(x) be the solution to the initial-value problem dy = -3x + 2y dx with the initial…

A: Given the initial value problem is dydx=-3x+2y,  f(1)=0.5,  h=0.1 Here  f(x,y) = -3x+2y, x0=1,…

Q: 4. Given the function f(x) = x2 - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

A: IVT:-  For a continuous function f defined on the interval a,b. Then for any value…

Q: I. Represent the following equations in R? by a vector-valued/parametric equations: 1. y = mx + b 2.…

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Q: Evaluate the given integrals. Please Show the complete solution. Identify the u , du and other…

A: We have to find the integral

Q: In an oblique triangle, a=25, b=16, angle C-94'06. Find the measure of angle A.

A: We have given,a=25, b=16, B=94°06'=94.1°;∴ cos94.1°=−0.072

Q: What is the area of the region between the graphs f (x) = 3x – x and x – axis from x = 0 and x = 2 2

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Q: 5 li sin lax tan 4x

A: Given query is to find the limit of the expression

Q: Suppose there is no known formula for g(x), but we know that g(2) = -1 and d (z) = V2 +5 for all x.…

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Q: The following is the graph of: 十- 2元 2元 3 2 3 2. R一6 R一3

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Q: Find the absolute maximum and minimum values of each function, if they exist, over the indicated…

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Q: Finding the Volume of a Solid In Exercises 26–28, use the shell method to find the volume of the…

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Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: In x dx .2

A: We need to solve the integral.

Q: V10. What are the horizontal asymptotes of the function f(x)=Nx+9 O y = 5 only O y = -5 only O y= -5…

A: Given query is to find the horizontal asymptote.

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: Evaluate the integral. sin (12x) cos (7x)dx | sin (12x) cos (7x)dx =

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Q: Given two vectors A = 21 + 3j - 2k B= 31- 4j – 6k Determine the vector that defines the direction of…

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Q: 2. Scos'xsinx dx cos’xsinxdx

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x* – 3x. (Use…

A: The given function is:fx=x4-3xWe need to find the Taylor polynomials T2 and T3.

Q: At the end of an advertising campaign, weekly sales declined according to the a. The sales at the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your ansuwer to two decimal places when…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. Oe "do - 0 .4…

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Q: 5. Write, but do not evaluate, an integral expression that would give the area of the region between…

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Q: Evaluate the integral. 12 – 0.025x dx - 6 12 - 0.025x dx = - 6 (Type an integer or decimal rounded…

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Q: O Analyze the graph of fex), then ansuwer the questions. FOX Coriginal function graph) maximum5)…

A: From the given graph we can conclude that - -->  f(x) has local maximum at x=0       and the…

Q: Evaluate the in tegral (x+ 2y) dy

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Q: (1) Find an equation of the tangent plane to the surface at the given point. f(x, y) = x? – 2xy +…

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Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

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Q: How many terms of the Maclaurin series of f(x) = ln (1 + x) are needed to compute In(1.25) to within…

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Q: 3 Goal: A cetailed graph of flx) = x AICX) = fir(x)= 6x (x+1)4 fex) =x a tind ficx) (6) Find he x…

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Q: Determine whether the sequences converge or converges, find the limit. diverge. If any of them a. 2…

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Q: In x dx

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Q: Finding the Area of a Region In Exercises 5–14, sketch the region bounded by the graphs of the…

A: Question- In Exercises 5-14, sketch the region bounded by the graphs of the equations and find the…

Q: 9. Set up the integral to calculate the area between the cur f (x)= x* – 2x g(x)=-2x+1 A. gx)- f(x)…

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Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: A limit limx→a f(x) exists at x=a if limx→a+ f(x)=limx→a- f(x)=L and limx→a f(x)=L.

Q: 3. Let f(x) = 1+x + x² + x° +x* + x°. %3D Find T3(x), the Taylor polynomial of f at r = 0 with…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: PROBLEM SET NO. 3 Using the techniques of integration, evaluate the following integrals by applying…

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? S- w/100 – w? 300 dw (Type an exact…

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Q: dy Calculate Simplify your answer. HINT [See Examples 1 and 2.] dx 2х + 6 y = 5х — 1 dy %3D dx

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Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

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Q: 2. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCALC1 15.1.014. MY NOTES ASK YOUR TEACHER PRACTICE…

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Q: HewB Let - ! Frnd flA) Ans/ P)-(L-cosat) 4 Shなs

A: In this question we use Laplace transform property to solve this given function.       Here i…

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Q: The base of a prism is a hexagon inscribed in a circle. If the difference in the circumference of…

A: Let's find.

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: in a certain state, each standard automobile license plate number consist of two letters followed by…

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