Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O 16 O 14

Q: 2. The population of a small town has been growing and is shown in the table below t, the years sinc...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: For given sequence we have to check its convergence first we have to check    limn -> ♾ | (-1)n s...

Q: 3The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the vertical A tourist stands 105 me...

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Q: dx

A: Here is the solution of the given problem. 

Q: 3. Find the inverse of f (x) and check your answer. 3x - 5 State the domain and the range of f and f

A: The given function is: f(x)=23x-5

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the gr...

A: Given query is to find the interval of increasing and decreasing.

Q: f(x) = V3x–1 c = 1

A: As we know that; If the function fx is continuous at x=c then, limx→c-fx=limx→c+fx=finite value=fcor...

Q: Find A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the ...

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Q: 2 Find u, 3v, v - u, and 2u + 5v. 3 u = (7, 6), v = (4, –4) %3D (a) u 3. (b) 3v (c) V - u

A: Given : u=<7,6> v=<4,-4>.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Find the direction cosines and angles of u and show that cos2 a + cos B + cos y = 1. (Round your ans...

A: We can solve the given problem as follows:

Q: xy dx (x² + 3y²) dy = 0 |

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Q: Find the derivative of the function at Po in the direction of A f(x.y) = 2xy + y², Po(-6, - 4), A= -...

A: The given function is : f(x,y)=2xy+y2, P0(-6,-4),A=-2i-2j. 

Q: expression

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Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: Question 7 x+6 Finding the limit: lim3 x+2 O (E) 2/7 18

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Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: A particle moves according to a law of motion s = f(t) = t - 1522 + 72t, t> 0, where t is measured i...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Consider the series > an where n=1 (бп + 3)(-10)" an = 137+3 blem you must attempt to use the Ratio ...

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Q: s dx 2

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Q: 7- 2t 2. 1.

A: This is a problem of differentiation. Based on the general formual we will answer the question.

Q: write the equation for the function graphed below. Use smallest degrees possible. 9. 7. 4 10-9 -8 -7...

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Q: x 9x x-3 f(x)=9x/x-3 -100000       -10000       -1000       1000       10000       100000         b...

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Q: 00 5 Write out the first few terms of the series > (- 1)" ) What is the series' sum? n = 0 5n ... Th...

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Q: 24 Σ 28. 3"-1

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Q: O Evamate the triple integral メ2 "Sinydy dzdx

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: ind two vectors in opposite directions that are orthogonal to the vector u. (The answers are not uni...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Topic = Vectors v=1,92  Positive components -v=-1,-92 Negative components    

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Answer is infinity 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: n!x" For what value of x the infinite series converges? n" n=1 O A. x>e. O B. None of the choices in...

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: Topic = Geometry

Q: 85 lb in wat

A: answer of given question is in step 2

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of ...

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Q: Consider the sequence n cos(nt) 2n – 1 An - Write the first five terms of an, and find limn→∞ an. If...

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the equatio...

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Q: 2 V1-x*

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u. (The an...

Q: 2. For the function g(x)= 2x^3 − 3x^2 a) State the domain of g(x). b) Determine the critical number...

A: The given function is: g(x)=2x3-3x2⇒g'(x)=6x2-6x=6x(x-1)

Q: Find the domain and range of the function V(x, y) = 9/9y – 45x. Indicate the domain of V in equality...

A: Find the domain and range of the function   V(x,y) = 9 √(9y - 45 x2)

Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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Q: Find the unit vector in the direction of v. V = -6.3i + 3.7j u =

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Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+j3

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Q: Solve the following using De Moivre's theorem, pascal triangle and binomial expansion. Show all your...

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Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: Solution is written in below steps.

Q: 4. The town of Allen had a population of 32,000 in 2000, and has been growing at 2.2% per year. The ...

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Q: 2 S- /x² +y? and z= /x? +y? volume V = | T Enter an integer or a fully reduced fraction such as 1 , ...

A: Volume , V = ∫∫∫dV = ∫∫∫R dz dy dx