2. Applying the properties of an inverse of a one-to-one function, show that the following pairs are inverse functions: b. f(x) = x2 + 2, x > 2 and g(x) = vx – 2

Q: Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 150...

A:

Q: 4) fG) = (2x+ 1)9 %3D

A:

Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: Given the series 7" Σ n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: The value will not be 7 because the question is not asking us to find the value using the ratio test...

Q: = xe 10) Determine the absolute maximum and minimum for f(x) on the interval [0, 3].

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Q: Determine whether the following sequences are convergent or divergent. If a sequence is convergent, ...

A: For (a),     limn→∞ n-n2-nRationalize,=limn→∞ nn+n2-n=limn→∞ 11+1-1n=limn→∞ 1limn→∞ 1+1-1n=12 So, co...

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as smal...

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Q: Which of the following statements is false for functions f(x) and g(x) and constant c? O (c - f(x)) ...

A: Given query is to find which statment is false.

Q: satisfying

A: We will obtain the particular solution. 

Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

A:

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the ye...

A: Given a function relating the number of phone  subscribers from year 2000 to 2010

Q: (b) For the matrix 1 -2 A = 3 -2 -1 \12 3 -5. (i) (ii) (ii) Determine the characteristic equation an...

A:

Q: . Homogeneous Equations: Solve the differential equation: x²+y? y' xy O y? = x² In cx² O x?y² = In c...

A: To solve given homogeneous equation.

Q: 1. What is the slope of the tangent line to the curve 4x2 - 9y² = 1 at point (3,2) ? b. - 27 8 a. 3 ...

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Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: 1.) A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Fi...

A:

Q: 11. Linear coefficients in 2 variables: Solve ti (x – y + 1) dx – (x + 4y + 1) dy = 0

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Q: etermine if the series is convergent or divergent. Show your work, and clearly state the test used n...

A: To test the convergence of given series.

Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year. Wri...

A: This is a problem related to exponential function. Based on the general formula we will answer the q...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Given a vector u that makes an angle θ with the positive direction of the x-axis .Then , u = u cosθ ...

Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: Determine y' by using the formula for the derivative of arcsine function. a. 1 b. sinx c. COSX d...

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Q: 10s² – 5 L-1 (s² + 1)(s² + 3)²

A:

Q: 9. (2y2 + 2y + 4x?)dx + (2xy + x)dy = 0; when x=-1 and y=0 %3D 10 v-5du -4dy -vdy. hon vー

A:

Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –...

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Q: A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b...

A: To test whether Rolle's theorem is applicable or not.

Q: Determine whether each point lies on the line. x = -3 + t, y = 6t, z = 5 +t (a) (0, 18, 8) O Yes O N...

A: Line in 3D

Q: Find the arclength of y 3x + 4 on 0 < x < 1

A:

Q: 1) Linearize: 3x arourd 天=l %3D

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Q: Let X be a random variable with p.d.f f(x) = 2x,0 < x < 1. Find E(Vx). 2/3 5/4 3/2 4/5

A: Given

Q: Evaluate the following integrals: 1. S (3* + 4°)² dæ

A: We can find the integration as below

Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

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

Q: Answer: 0 Evaluate sin(x+ y)dxdy.

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Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

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Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+ 3k w = i+ 5j + 7k Find the ...

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Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: Which one of the following is the vector equation of a plane containing the points: (4, 0, 3), (1, –...

A:

Q: 2k-13k+1 6–1 00 kk k=1

A: Answer is given below.

Q: Use the remainder theorem to find P(-2) for P(x) Specifically, give the quotient and the remainder f...

A: To use the remainder theorem to find the quotient and remainder of the polynomial P(x)=2x3+2x2-x-3 i...

Q: Let a = ci + j and b = 3i + 3j. Find c so that a and b are orthogonal. %3D C = i

A:

Q: Define f(x, y) 2x2 + y? – 2xy + 6x. Find all critical points of this function, and determine, for ea...

A: The given function is: f(x,y)=2x2+y2-2xy+6x

Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

A:

Q: 36,37

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: Evaluate each of the following: 1 1. ſ cot 2v dv 6. S tanzã sec*vã 2. S tan* dr 2 csc*ny 3. S(tan 5w...

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Q: dx x2 | C 2 sin-Vx+C sin-Vx + C -2 sin-1Vx+ C sin-1x + C 2 - O A E None of the Above 12

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Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: Find the area of the region that hosmside the Circle r = 3COS 6 and outside the cardioid r =1+ cos 0...

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.