Write the first four terms of the sequence whose general term is given below. an = (-1)+1(n+6) a₁ =

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A: we need to find out the left and right riemann sum.

Q: (a) Find T₂(x), the 2nd degree Maclaurin polynomial for f(x). (b) Approximate f f(x) dx, using that…

A: To solve the following problem using maclaurin series for approximation.

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A: The given surface is: z=5-x2-y2+2y

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Q: C. 1. Determine the area of the given region. XX y sin 2x-1 -2 y = sin x y=sin 2x 2x

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Q: Five years ago, you acquired a 30-year loan of $130,750, charging 6.8% annual interest, compounded…

A: We need to find amount for both cases.

Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: 806 Chapter 14 Multiple Integrals It does not apply to regions with complicated holes through them,…

A: Let's find radius value.

Q: Use the following function to answer parts a through c. f(x)=x² +7x² - 4x-10 a. List all rational…

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Q: Sin (0)=-0.7 19=2 Ak + 3.92, 2ñk +5.51 and - List 6 specific Solutions. 6 = ? rad

A: Please see the below picture for detailed solution.

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Q: 4. A rectangle is inscribed with its base on the x-axis and its =7-x² with the upper corners qu What…

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Q: S 6cos (x) dx = non pojke pas om mys yn words

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A: As we know  General formula of arithmetic sequence ⇒an=a+n-1d ⇒a=first term ,d= common difference ,…

Q: If q(x) = 3x², 7ex find lim q(x). X→ +∞

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Q: 5 a. For f(x)=, find an equation for the secant line through the points where x = 2 and X X = 5. 5…

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Q: If  f(x) = x2 + 2x + 1   then f(-1) =

A: Given, f(x)= x2+2x+1

Q: Using green's theorem, evaluate the line integral xy^2dx + (1-xy^3)dy

A: By Green's theorem we get, ∫Mdx+Ndy=∫∫(∂N/∂x-∂M/∂y)dxdy

Q: d the limits. f(x) = 7 - x², g(x) = √x+1 ) lim f(x) = x-2 b) lim g(x)= 11 c) lim g(f(x)) X-2 Submit…

A: Given query is to find the Indicated limit.

Q: The speed of a particle in a test laboratory was noted every second for 3 seconds. The results are…

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Q: Find the interval of convergence of the se- ries n=1 an n+3 1. interval of cgce (-3, 3] 2. interval…

A: use the ratio test for finding the interval of convergence.

Q: Current Attempt in Progress Find the average value of f(x) = Enter the exact answer. fave = X…

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Q: Go Sin (36) Cos (0) - Cos (36) in (0) = √3 Find all Solutions in the interval No oitavas asut Sulo?…

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Q: f(x, y) = ln(36x + 5y) + 6x² - 5y Local maxima are Local minima are Saddle points are

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Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

A: Let radius of sphere=r units

Q: centered at x = 0 for f when 1 (4x + 1)¹/2 * f(x) = 2. T3(x) = 1 + 2x - 6x² + 20x³ 3. T3(x) = 1-2x +…

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Q: Find the value of fa and fy at (1, -1) when 4 f(x,y) =+5x²+3y². xy 1. 1- = 9, f = = -7 2 2. f= = =…

A: use partial differentiation for finding the solution.

Q: In(x) x Find the maximum and minimum values of the function f(x) = The minimum value = The maximum…

A: We are required to find the minimum and maximum value of the function f(x)=ln(x)x on the interval…

Q: Prove the statement using the c, & definition of a limit. Given > 0, we need 8 ---Select-- such that…

A: see below the answer and calculation

Q: Find the gradient of the function f(x,y)=6y-5x at the point (8,2). that passes through that point.…

A: Please see the below picture for detailed solution.

Q: Compute the percent relative error in computing the area of a square whose side is measured with an…

A: We need to find error in area.

Q: Calculate the flux of the vector field (³, ³), out of the annular region between the x² + y² = 9 and…

A: Let's find flux of the vector field.

Q: Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x)= = 1 (4x + 1)¹/2 1.…

A: Given that , fx=14x+112 find the degree three Taylor polynomial centered at x=0.

Q: Evaluate the integral. 3 (ar ³-7) de 1

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Q: What is the total area inside the cardioid, r = a(1 + cos θ)

A: Given cardioid r=a(1+cosθ)  Here θ varies from 0 to 2π  Now area of a polar curve r=f(θ) is given…

Q: . Find the area between the curvey = x² and the straight line y = 8x - 4.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3 Which of the following is the domain of the function f (x) = x ³ ? O All Real Numbers O [0, ∞) Ⓒ…

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Q: 2²4 2² The two-dimensional Laplace equation 2+2=0 describes the potentials and steady-state…

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Q: Express the following in complex exponential form: x[cos (yº) + jsin(y)] Where x = 10 and y = 128.…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -5 (a) lim_ f(x) X-C…

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Q: The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.02 inch. Use…

A: Given Radius of sphere=20 inError in radius=0.02 in   We are required to finda. error in the…

Q: Using undetermined coefficients a.) (D² - 6D+8)y = e2x + sinx

A: We have to solve given D.E. using undetermined coefficients.

Q: Find the equation for any horizontal asymptotes for the function below. 2x³ + 3x +3 3 3x + 4x-2 f(x)…

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Q: 1) y = cos(2x) sin(x) 2) y sin²(x) cot²(x) 3) y = 2 cos(x) - 6 sec(x) +3

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Q: Find the total differential. dw = w = eбy cos(4x) + z10

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: Integrate. Simplify answers A) fet-se 4-5 dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use Euler’s method with step size h = .1 to estimate y(.3) if y is a solution to the differential…

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