k(x) = 1- |r – 3|

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: Given query is to find the general term for the sequence.

Q: Determine if lim f(x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof x2-2x+3. 2....

A: 2. F(x) = (x2 -2x +3)/(x-1)2 ; c= 1 here F(x)≠F(c) , because if we put here value of c = 1 in the fu...

Q: 3 9. dx Jo

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Q: Given three points, A(4, 3, 2), B(-2,0, 5), and C(7, –2, 1): (a) specify the vector A extending from...

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Q: Identify the most appropriate differentiation rules to be used in findıng the derivative of the föll...

A: topic - derivative rules

Q: 680 -59 -0 - 0] q? 600 69 - - 0-01 q? - 680 DIFFREN TIATE d Pla) = q? -reo] 2 0.0) q-680] da da 600 ...

A: topic - differentiation

Q: f(x2) - f(x1) average rate of change = X2 - X1 Calculate this average rate of change to show that it...

A: We are asked to showed the average rate of change is m 

Q: Given: cosA= -4, sin x = - ,e is in the third quadrant, and x is in the fourth quadrant; evaluate co...

A: Given:- cosθ= - 4/5 , sin x = - 12/13, θ is in the third quadrant, and x is in the fourth quadrant; ...

Q: 2. -2 2. -2 ere does f have absoluteminuMums absolute minimum is ph h o ccurs at x= edees f have abs...

A: To find the absolute maxima and minima of the function from the graph.

Q: Evaluate the integral. 3. Vx² + 9 dx V x2

A: Evaluate the integral  of √(x2+9) from 0 to 3. 

Q: A fundamental set of solutions of a homogeneous linear nth-order differential equation comprises(Cho...

A: A fundamental set of solution of a homogenous linear nth order differential equation compries of :  ...

Q: S sin 3udu

A: Note: According to our answering Gudelines we have to answer only one question(if multiple  question...

Q: Find the absolute maximum and absolute minimum values of f(x) = ! + In r, on [, e²].

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Q: A ball is thrown downward with a speed of 15 ft/s from the top of a 225-foot-tal building. After t s...

A: This is application of derivative problem

Q: Given the graph of y=f(x), determine a general equation for a family of polynomials with the same en...

A: Graph of the function is given, we have to find its family of function

Q: 34 PM 2022- point (-1, 24) is a) y= -3(x- 1)2(x - 2)?x2 hot 12 PM 2022- Sc Oc) y= -2x(x- 1)2(x - 2) ...

A: Given query is to find the equation if the graph.

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

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Q: 90,000 For a particular commodity, the demand function is q= a. Find e when p 10. Preview Enter a fr...

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Q: Find the volume of the solid found by rotating the region y = Va from :-1. You may use either the sh...

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Q: 9. The difference of two numbers is 30. What two numbers will minimize the prod- uct?

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Q: 16. A curve whose slope at any point is 4x +1 passes through the point (-1,4). What is its equation?...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: 2. The price-demand equation for a certain product is 0.2x + 20p = 120. a) For what range of p-value...

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Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 8. dx

A: To evaluate the integral ∫018x3dx  Concept used: Power rule of differentiation. ∫xn=xn+1n+1+c  

Q: - Find the Laplace transform of each of the following function A f(t) =

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Q: 2. In r dr

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Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

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Q: z = 3x1 + x2 sujeto a x1 + x2 < 4 min X1 + x2 2 2 X1 – X2 2 2 X1, X2 2 0

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Q: If a(4) = 101 – 15 – 60t +5, represent the position of a particle traveling along a horizontal line....

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Q: A graphing calculator is recommended. A particle moves according to a law of motion s = f(t), t> 0, ...

A: Given:      f(t) = t3 - 9t2 + 24t

Q: A B slope -3 -1 1/2 1 3 label ? v ? v

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Q: 3) Find an equation of the plane which contains the points P(-1,2,1), Q(1, –2, 1) and R(1,1, –1).

A: Equation of a plane passing through 3 points P(x1,y1), Q(x2,y2) and R(x3,y3) is given by, x-x1y-y1z-...

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our  policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: Differentiate the following function. 1 v = t8 – %3D v' = レ %3D

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Q: What is continuity?

A: Follow next step

Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Critical points are the interior point in the domain of a function at which f'(x)=0 or at which f'(x...

Q: . Consider the equation x + y + e*Y = e dy (а) Find using implicit differentiation. dx (b) Find the ...

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Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive. T...

A: Given,logx12y17z6By using properties of logarithm:1. log(am)= m log(a)2. log(ab) = log(a) - log(b)3....

Q: Ax) = x² tan -1 (x³)

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Q: 2x – x3 dx J (x – 1)2(x² + 1)

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Q: 15 12 Using this graph, for each of the following pairs of numbers decide which is larger. Be sure t...

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Q: 6 For the function y = f(x) : 2 + x² ' a. Find the slope of the line tangent to its inverse function...

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Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x and parallel to ...

A: topic - equation of tangent line

Q: A particle is moving on xy-plane with position at time t given by ~p(t) = (t2 + 4t,sin (t + π)). a....

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

A: Planet is spherical;g(x,y,z) =x2+ y2+z2 = 144M(x,y,z) =12x - y2+xz + 210   We need to satisfy,∇ M =λ...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 %3D P4(x) = %3D

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Q: 1) y=-2+ 2cos 0 27 3n 1/24

A: The given function,     y=-2+2cos θ

Q: dy Use implicit differentiation to find dx 4 3 x'+y = 3x+ 6y` dy dx (Type an exact answer, using rad...

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Q: 2. In r dr

A: Determine whether the improper integral is convergent or divergent.  The integral is ∫01 lnx dx Form...

Q: ((주)' lim x (1- cos () COs X->- 00

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