Question 14 Evaluate and simplify the integral x +æ+3 a4+6x2+9 Show your solution. Upload Choose a File

Q: Question 3 (a) Determine whether the following statements are true or false and justify your respons...

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Q: r(x)=(6−x)3 Step 1 of 2 :   Determine the more basic function that has been shifted, reflected, str...

A: Solved below

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: Let's find. 

Q: Let f be a continuous function such that f (x) dx = -7 and 1 f(x) da = -2. What is the value of 3 (x...

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

Q: Ise the Limit Comparison Test to determine the convergence or divergence of the series V7n 7n3 + 6n ...

A: Given query is to find series converges or diverges.

Q: C. Find the slope and the equation of the tangent line to the curve. 1. у %3D х2- 4х + 1 at (2, -3)

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Q: x-intercept (x, y) = (| y-intercept (x, y) = (| vertical asymptote horizontal asymptote y 10 - 10 -5...

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Q: An electronics company determines the demand function q = D(x) = V dollars per game. 200 - x° for a ...

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Q: True/False: y = 4+ ln x solves the differential equation xy = 1. True False

A: Given:           xy' = 1 

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it, 

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2). S...

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Q: For the function f(x), which of the following represent the instantaneous rate of change? Circle all...

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below 

Q: _t f'(x) = tª – t3 + t² + t – 1

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Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Part 1 answer  tan3  (theta) sec (theta) dtheta = sec3(theta)/3 - sec (theta) + c    Part 2 answer  ...

Q: answer?

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Q: Richard's Rocks sells decorative landscape rocks in bulk quantities. For quantities up to and includ...

A: The price function should be a continuous function. Hence at x= 500 both the functions must be equal...

Q: Let y = f (x) be the solution to the differential equation =z- y with initial condition f (1) = 3. W...

A: Given the differential equation dydx = x-y with initial condition f(1)=3. We have to find the approx...

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1, -4...

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Q: Use implicit differentiation to find y' for 3ar y + In(ry') = 3 and then compute y' at (1, 1). Answe...

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Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С. ...

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Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, В D // f...

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Q: Integration by Parts - Volume of a Solid of Revolution Find the volume of the solid of revolution fo...

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Q: Complete the following unit circle: 1) Write the coordinates of each point on the unit circle 2) Wri...

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),...

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Q: Determine if the following statement is True or False. If the statement is true, provide an explanat...

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Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years. B. The pop...

A: B - given is the population is 900 in the beginning and decreases by 12% each year for 5 years.

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: Evaluate f sec x dx. Show your solution. Upload Choose a File

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: dy Given a level suface 5x?y? + 2xy = 5 with y = y(x). Find at the point dx %3D (4, 3). Give your an...

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Q: 39. Using Properties of Definite Integrals Given L fe) dx = 10 and fe) dx = 3 evaluate (a) dx. (b) d...

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

Q: Find all the real zeros of the polynomial P(x) = x' + x² - 3x + 1. Its real zeros are x¡ = -1 , X2 =...

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Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

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

Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your an...

A: From the given diagram we can see that- AD || BC and AE || CG    

Q: Determine the area of the shaded region, given that the radius of the circle is 2 units and the insc...

A: In this question we have to find the shaded region.

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: 2) Which of the following expressions is equal to lim (x+h)100-x100, h-0 h A) x100 B) 100x99 C) x99 ...

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Q: 27 at z = 0. Find the equation of the tangent line to the graph of y(z) = Equation of the tangent li...

A: Find the equation of tangent line to the graph of y= 2x/√(1-x2) at x=0 . 

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t), whe...

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Q: Sketch each angle in standard position and determine what quadrant it lies in А.) 130° В.) -285° C.)...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

Q: 2x + 1 ds x2-7x+ 12 A. -7ln]x-3|+ 9ln|x-4| +C B. 7ln/x + 31 + 9ln/x+ 4| +C c. -7ln]x+3|- 9ln]x + 4| ...

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Q: Given F(2) = 5, F'(2) = 1, F(3) 4, F'(3) = 4 and G(3) = 2, G' (3) = 2, G(4) = 6, G'(4) = 4, find eac...

A: Given that,F2=5, F'2=1, F3=4, F'3=4G3=2, G'3=2, G4=6, G'4=4