Use the ratio test to determine whether n=21 n² +9 gn converges or diverges.

Q: Question Given the graph of the function f(z) below, use a right Riemann sum with 3 rectangles to…

A: Let's use right Riemann sum with 3 rectangles to approximate the given integral.

Q: 1. Find the formula for the inverse function of f(x): f^(-1)(x) Express as f^(-1)(x)= f(x) = √−2x −…

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Q: Use integration by parts to evaluate the integral: [2³ ln(z)dz = [

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method take

Q: + C NOTE: Your answer should be in terms of x and not u.

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Q: Evaluate the definite integral. 2 8xex2 dx   0

A: Given query is to find the integral

Q: The following sum 36 - 6 (1) n 2 6 n + 36- 12 n 2 6 n + .. + 36- 6n n 2 6 n

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Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

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Q: (2) Compute the volume of the solid between the surfaces z = 100 − 4(x² + y²) and z = 0. - 4(x² +…

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Q: - If cos(y) = 3 and y is in the first quadrant, find cot²/ 2

A: Given :- cosy=35, y is in first quadrant

Q: 2. Consider the function g: (-∞, 0) U (0, ∞) → R defined by g(x) A. Find all intervals on which…

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Q: 6. C. a. Sketch the solution to the system: y sx 4 x ≥ 0, xs 3 y = -2 b. Find the coordinates of…

A: Here we have given different inequalities: y≤x+4 x≥0, x≤3 y≥-2 a). Now plotting the given…

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A: We need to find the Taylor series of the given functions using the definition of Taylor series.

Q: Find the value of the summation. Σ( – - (4² — 2) - :0 Question Help: Video Submit Question Message…

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Q: Given that the graph of f(x) passes through the point (3, 3) and that the slope of its tangent line…

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Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: f(x)= |2x - 3| + 8 sin (7x)

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: How many different arrangement could be made with the letters in the name KERRY ST GEORGE

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 6. Given the recursive sequences, write out the first six terms: a) a₁ == 2, an+1 = nan n+1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ) If cos (y) = and y is in the first quadrant, find cot²2/1.

A: To find the given trigonometric expression

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: Convert the Cartesian equation (x-3)²+(y+1)² = 4 to polar form.

A: Given equation:- x-32+y+12=4

Q: With today's technology and powerful computers, it is often tempting to think that the curve…

A: Given function:- f(x)=x4 -408x3 +3600x2

Q: A 25-year old woman burns 300- 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: We need to find total calories burned.

Q: Given the following table: Τ y Δε 1.5 0.6667 -0.5 1.9 0.5263 -0.1 1.99 0.5025 -0.01 1.999 0.50025…

A: Please see the below picture for detailed solution.

Q: 56. L²₁ dx 2 x² 3 2

A: ∫xndx=xn+1n+1+clet  I=∫-124x3dx

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Find the points on the curve where the tangent is horizontal and where the tangent is vertica x = t³…

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Q: Consider a function f which is continuous on (-∞, 1) and (1, ∞), has a vertical asymptote = 1, has a…

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Q: Graph each function using radians. 4) y = 4cos 0 6) y = 2cos Т Л Ө 2 2л Зл 2л 2 Зл 4 5л Зл 2 5 бл 5)…

A: The given functions, 4) y=4 cosθ 5) y=sin 4θ 6) y=2cosθ2. We have to sketch graph of the each…

Q: A 26 foot ladder is lowered down a vertical wall at a rate of 3 feet per minute. The base of the…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple subparts…

Q: Differentiate the following function: f(t) = √t - 1 Aft

A: Please see the below picture for detailed solution.

Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 5 3…

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Q: Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D…

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Q: a. A rectangular pen is built with one side against a barn. If 200 m of fencing are used for the…

A: NOTE: Refresh your page if you can't see any equations. . the answers for the first part are already…

Q: 0 dx=

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Q: D.f'(x) is decreasing at x = | I E. The slope of f(x) is positive at x = F. The slope of f'(x) is…

A: We know f'(x) decreasing when f''(x)<0 The slope of f(x) positive when f'(x)>0 The slope of…

Q: Given that the graph of f(x) passes through the point (4, 10) and that the slope of its tangent line…

A: ginen slope is  2x+7 passes throught  (4,10)∫xndx=xn+1n+1+cslope =f'(x)=2x+7

Q: Evaluate: [(10+32³ +52¬² + z² A B Ⓒ D 10z+32³ +++ C 10z+32³+2+C 10z+2³+-+C 102 +2+32 +C

A: we knoe that  ∫xndx=xn+1n+1+c

Q: me the growth factor, relative change, and percent of growth or decay (indicate which) for this…

A: Given query is to find growth factorz relative change and percentage of change.

Q: 7. g(x) = f' √t + 1² dt

A: Given query is to find the derivative of the expression.

Q: Compute the surface integral over the given oriented surface: F = (0,0, e³+), boundary of the cube…

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Q: The height of a certain amusement park ride follows the function h(t) = +³+6t29t+ 4 where h is…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: We have to find the area using geometry.

Q: solve (-5)2 + (-3)2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 402 #3 p. 303) A particle is moving on the x-axis with velocity given by v(t) = -3t² + 18t - 15. and…

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Q: Find the length of the polar curve r = 8 sin³ (0/3) on 0≤0 ≤π/4.

A: The arc length of a polar curve r=fθ between θ=a and θ=b is given by  ∫abr2+drdθ2dθ Given: r=8sin3θ3…

Q: Find the area between y = 12 sin (x) and y = (Use decimal notation. Give your answer to three…

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Q: 6. 4. 2. 2 Use the graph to determine lim f(x). x →4 1. limit = 7 2. limit= 5 3. limit does not…

A: Given query is to find indicated limit form the graph.

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…

A: let the length of square is   x meter given  dxdt=4 msec.there for area of square is  A=x×x=x2