Question 1 2dy Evaluate the integral Зу — 4

Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

A: As per bartleby guidelines we only give first question answers. 

Q: +oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

A: We will use Ratio Test for the given series.

Q: (1) ydx + (x + 3y²)dy = 0

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

Q: Using calculus, find the volume of the solid defined by 1<r< 3,0 <osT/2 and 0 < O ST.

A: The objective of the question is determine the volume of the solid at given region.

Q: Consider the function fix) - sin x. Complete the table below and sketch its graph. 011/6 11/2 Sn/6 7...

A: Solved below

Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: Select the answer that is equal to e#/² f(x) dx. Show workings. A. 2e*/2f(x) +2 | e=/² f'(x) dx B. e...

A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

Q: Given cost function C(q)=q3−125q2+2600q​, what quantity minimizes average​ cost?   It would be enter...

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Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

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Q: 2. 5x 2 -4 [4, o) )(-00, 1] or [4, o) D[1, 4] )(-0∞, 1]

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Q: Imagine that at a particular time, a kitchen counter has on it 10 bacteria and that this type of bac...

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Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: (x+1)' sin x (c) lim- 2x x-0 (d) sinx lim 0 5x 20 +sin e lim (e) 40 бх -sin 2x lim X-0 2x+3sin 4x (f...

A: Using l hospital rule evaluate limit. 

Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: 8969 2. find 121 detA)? OY

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

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Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: 10. x= cost; y = sin't

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Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds an...

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Q: Verify that the series nº + n=1 satisfies the conditions of the Integral Test, then use the Integral...

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Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

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

Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: cos2x – sin2x cos2x For -dr =-F(x)+ C• What is F(x)? cosx - sinx A sinx – cosx) - B 2 sinx + -cos'x+...

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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Q: A company produces a special new type of TV. The company has fixed costs of ​$476,000​, and it costs...

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Q: CHAIN RULE DERIVATIVES Directions: Defferentiate the given functions. 4) glx) - (Aut - Bu)

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Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: True or False: To evaluate the integral tan a sec" zdx, we save one sec z factor and use sec z = 1+ ...

A: Answer: TRUE

Q: 4. Ir log a 1, log, 81=b and log, 4 2 then find the value of log ().

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Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a...

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Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

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Q: (2- secx) secx sec(3A – x) eIn (xle) What should be the value of A for to be integrable using the fo...

A:

Q: Choose among the following tests ONLY: integral, comparison, and limit comparison to determine if th...

A: We have to check weather the given series is convergent or divergent

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

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Q: Solve z+z +1= 0 by obtaining the roots. Answer a. b(1+jv3), }(-1± N) 幸 d. (1+ jv/3), (-1±jv3)

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

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

Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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