25 [x' sin xdx 27 |x' sin xdx 29 x’ sin xdx

Q: Problem 3 If the nth partial sum of a series E1 an is п— 1 Sn n+1 find an and E=1an.

A: The given data is: Sn=n-1n+1  To find the value of an and ∑n=1∞an.

Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: 5. The graph of f (x) is shown in the figure. Let YA y = f(t) A(x) = f f(t) dt F(x) = f(t) dt Area =…

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Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then f(x) dx : lim f(x;)Ax n-…

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Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve first…

Q: y Robert Cawa glish words. In 1 ublished the first y that tried to ir ai of

A: Given: It is given that RC defined 3,000 words in the dictionary and Nb defined 60,000 words in the…

Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

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Q: | sin rdr 3.

A: Here we have to solve the given integration by using integration by parts.

Q: y" + 1.8y' – 2.08y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: The graph of a function f is given. 10 Estimate f(x) dx using five subintervals with the following.…

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Q: Find the most general antiderivative of the following functions. (d).r(θ) = (sec θ − tan θ)^2

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Q: (1 + 4xy) dx dy O a. 8 O b. 7 Ос. 10 O c. O d. 9

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x, -3<x<3 about the x- | axis…

A: I am attaching image so that you understand each and every step.

Q: Find the intersection of the following pair of lines. Classify the system - if there is no…

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Q: Find a positive number z such that the sum of its reciprocal and 5,324 times its square is as small…

A: Let the number is x than we need to minimize function f(x)=1x+5324x2, x≥0

Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

Q: You are given the rate of investment dI/dt. Find the capital accumulation over a five-year period by…

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Q: */3 csc³ rdx 7/6

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Q: Consider the parametric curve given by x(t) = -2t and y(t) = t². (a) Sketch this curve on the…

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Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x)

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Q: 4. Find the critical points of each function and use the Second Derivative Test to classify the…

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Q: Problem 1 Determine if the following series converge or diverge. If it converges, find the sum. (a)…

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Q: Write the sum using sigma notation. Vī V3 + .. 18 28 38 n8 Σ k = 1

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Q: Again, consider the geometric series 3−1+1/3−1/9+1/27−…

A: As nothing has been mentioned whether sum of n terms is required or sum of infinite terms is…

Q: Q50 X( Inx)

A: = Let , In x = log x = 7 ∫ dx / x logxx let , log x = t          x = et       1/x dx = dt = 7 ∫ dt /…

Q: determine the area of the region bounded. show complete solutions.

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Q: 25) Show that the curve with parametric equations x = tcos(t) , y = tsin(t), lz = t ies on the cone…

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Q: Find the derivative of the vector function r(t) = In(4 – 2) i+ v6+ij+7e¬6i k -

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Q: Sketch the graph and show all relative extrema and inflection points. y = 12x - x3

A: Topic:- function and application of derivatives

Q: Evaluate the following integral by changing to cylindrical coordinates: 4–y2 3 xz dzdrdy. x²+y2…

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Q: If a ball is given a push so that it has an initial velocity of 3 m/s down a certain inclined plane,…

A: Given query is to find the velocity function ate time to reach the velocity 45 m/s.

Q: Find the most general antiderivative of the following functions. (a) f(x) = 3/x-2cosx-10/sqaure root…

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

Q: 13–14 Draw the projections of the curve on the three coordinate planes. Use these projections to…

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Q: Given the triangle below, find the angle 0 in radians. Round to four decimal places. 7 4 Provide…

A: Topic = Triangle

Q: The result of the following double integral is 2 2 у ST (6 x² y - 5 e)dxdy= ? 0. -2 y 909 -20e? +…

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Q: Find the general solution of the following differential equation. y" – 9y' + 14y = 0 NOTE: Use c,…

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Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A: average blood alcohol concentration is given byC(t)=0.00225te-0.0467twhere t is in minutes and C is…

Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: Consider the following. (If an answer does not exist, enter DNE.) h(x) = 5x3 - 3x5 %3D (a) Find the…

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Q: An airplane is 30 miles south and 150 miles east of an airport. What bearing (in degrees) should the…

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Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

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Q: Starting in a specific year (t = 0), the amount of oil consumed by a small country increases at a…

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Q: Consider the function below. f(x) = 8 + 2x² – xA

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: COMPUTATIONAL em No. 1 roblem: The concentration C of a certain chemical after t seconds of an…

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Q: Consider the equation below. f(x) = x7 In x (a) Find the interval on which f is increasing. (Enter…

A: We have to calculate first and second derivative to solve the problem

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

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Q: r field F.

A: We have to compute the two-dimensional curl of the vector field and evaluate both integrals in…