Use the Ratio Test to determine whether the series is convergent or divergent. Identify an n = 1 Since lim n¹00100 n! Evaluate the following limit. an+ 1 an lim n1∞ an +1 ? 1, ---Select--- û

Q: f(x) -4 -3 -2 10+ 8+ 6+ 4. 2 1 2 3 X Approximate the area between f(x) and the x-axis from x = -4 to…

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Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

Q: A particle is moving with acceleration a(t) = 18t + 6. its position at time t = 0 is s(0) 15 and its…

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

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given   N (t) = 0.5 + 1.1 e 0.01t The relative rate of change RRC = f’ (t)/f (t). (1.1)(0.01)e0.01t…

Q: Use an inverse matrix to find the solution to the system. Find the inverse of the coefficient…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: A curve is given S₁73 dx = ...? xy parametrically by = 3t + 1, y = 4t².

A: Given,            A curve is given parametrically by x=3t+1 , y=4t2.To find : ∫47xyt3dx

Q: Determine which of the following is the particular solution for the differential equation (D²− 2D +…

A: here given differential equation (D2-2D+4)y=16 particular solution is  P.I. =(1/(D2-2D+4))16e0x…

Q: 6) logg√3 7) log₁6 8) log4 8

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Q: 翻转 替换图片 透明度。 删除 Solve for ax: 退出编辑 9 8 n=1 4x117 = 16

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Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: B) 롭 A) 5x tanx O 45 A) 46 11) y = x². Tanx > dy = ? Ta ン de 2 secxx D) 5x4 tanx D) Z B) X5 sec X 5…

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Q: Find the scalar component of u in the direction of v, scal, u and the orthogonal projection of u…

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Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² xy lim (z,y) → (9,9) √√T √y…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: 6) as an ice block metts, the note at which its moss M, decreases is directly proportional to the…

A: NOTE: Refresh your page if you can't see any equations. . M=mass of ice cube dMdt=rate of change in…

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

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Q: Suppose a long spring is attached to a wall. A force of 50 newtons is necessary to hold the spring…

A: NOTE: Refresh your page if you can't see any equations. . L0=Natural length of the spring…

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A: The given differential equation is; (D2-2D+2)y=(-8cos3x+24sin3x)e-x

Q: Evaluate the integral: (¹ r²₂/r3 ± 3dt

A: Given query is to find the integral.

Q: Find a unit vector in the same direction as v = (-8,-6).

A: Given  v = <-8, -6> To find the unit vector in the same direction as a vector we divide it by…

Q: 4 Find the equation of each graph after the given transformation. a y = 3x² after a stretch parallel…

A: Let's find equation of each graph after the given transformation.

Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: Find the angle between u = (4, -3) and v = (24, 10). Round your answer to the nearest tenth of a…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

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Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

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

Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

A: Given, The pyramid base is a square of side 1290 Height of pyramid 4660 To be found : Volume of…

Q: During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -30°F.…

A: Given, During a 12 hour period, the temperature in a city droped from a high of 60°F to a low of…

Q: toid (a) find vectors 30 and +2 (b) find lu + 2√²1

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Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: Use a power series to represent the function f(x) = 6 5x − 4 centered at x = -4.

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Q: Find the inverse of the given matrix. A = 1 -1 -1 0 2 1 0 = -6-7 Select the correct choice below…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: artha invests $7600in a new savings account which earns 5.5% annual interest, compounded…

A: Formula for compounded continously A = Pertwhere A = amount after t P = principal amount r = rate of…

Q: Find the vertices, foci, & of the asymptotes Hyperbola & Sketch its graph 25x²-9y² = 225

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Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1= C2= C3=…

A: The given function is; f(x)=sinx, x=pi/2

Q: Let theta be an angle between vectors u = i + 4j, and v = -2i + j. What is Cos theta? What is sine…

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: The first 4 terms of the Maclaurin series for e -2x O a) 1 - 2x + x² - 4x³ Ob) 1 - 2x + 2x² – x³ -…

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Q: Given the following vectors, calculate −8u+7v U=(-3,-1),V=(7,-1)

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Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

A: Given query is to find the derivative.

Q: Find the equation of the straight line thru (2,-3,7) parallel to the z-axis the straight line thru…

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Q: 2 0 √√2x-x² X √3 dydx 2 [x² + y²

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Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

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