(-x + 3, if x < 3 f(x) = {x – 3, if x > 3 (0,

Q: Find the interval of convergence of Σ (х - 6) In (5n) n=2 (Use symbolic notation and fractions where...

A: Interval of convergence is given below.

Q: Match the following improper integral with the improper integral below in which you can compare usin...

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Q: In space coordinates, the xy plane consists of all the points of the form O (0, y, z) O (X, y, z) O ...

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Q: Find Zx if z = In. In y 1 – In y Z x Zx = 1/x In y

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Q: Find the local maximum and minimum values and saddle point(s) of the function f(x,y) = x² + xy + y2 ...

A: The given function is: f(x,y)=x2+xy+y2+y Now, to find the stationary points, let fx=0 &amp; fy=0⇒2x+...

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 Σ 4 n = 1...

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Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: tank contains 200 liters of brine in which there are 3 kg of salt per liter. It is desired to dilute...

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 - x...

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Q: QUESTION 17 How fast is the surface area of a sphere changing when the radius is 25 cm if the radius...

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Q: Do you think numerical methods are way more practical or better in terms of solving more complicated...

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Q: sin y 11- nY dA where D is the region bounded by the curve y = vx and the line y=x, if y # 0

A: try not to ask multiple question at a time. solve double integral

Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its po...

A: topic - slope of the curve

Q: QUESTION 3 dydx ? VX What is the reversed order of integration of a. e dxdy Ob. e dxdy Oc. e dxdy d....

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Q: sin x cos“x tan® x dy Given that y = find using dx logarithmic differentiation. dy dx ||

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Q: Using the factored form, find the formula for the parabola whose zeros -4 and x = 2, and which passe...

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Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second ...

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Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Find y y=(t + 1}² - /E when t=1. Oa 1.75 Ob35 Oc45 Od.2.25

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Q: x² – y + 1 f (x, y) x² – y? + 1 -

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Q: 2n3 {(-1"ア+! 十3 n=1

A: Notes:limn→∞an exist if and only if all the subsequence converges to same limit.Suppose, limn→∞an = ...

Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A: Given series is ∑n=1∞6π7n   To Check :  The given series is convergent or divergent.

Q: A curve has an equation of y = x - 6x2 + 9x + 2. Find the point of inflection of the curve. O a. (1,...

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Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at th...

A: We will find the rate of change of volume of sphere at a given radius. 

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Find your answer below 

Q: show that J (x) 2 sin X %3D (-Um ,?m + Salt- Je Cx) = zm+ (m!)P (m++1) M=D0

A: Given

Q: sec x (Ъ) у -

A: Let's find. 

Q: (8+8i)(1-i) Write the trigonometric forms of the complex numbers.

A: Multiply 

Q: dy of x3 +v³ = 4 of X + dx Find O x? y² ,2

A:

Q: Moving to another question will save this response. sestion 2 A curve has an equation of y = x³ - 6x...

A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0  

Q: Find y' and simplify: y = cot-(eSin ) - esincos t y' = 1+ e2sin t 2 sin t y' = 1+e2: e sin t 2 sin t...

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Q: 1. The graph of the tilted ellipse x2 - xy + y? = 3 is shown below. Note: The sides of the box are v...

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Q: A shoreline observation post is located on a cliff such that the observer is 290 feet above sea leve...

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Q: and solve the equation + (4.ry – e v) dy = 0. | constant

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Q: 1 x =e" cos v, y=e* sinv uaz == vuv เมื่อ แ =1 และ "= 3 Find และ

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Q: Consider the following. (If an answer does not exist, enter DNE.) fx) = 180x + 3x - 2x (a) Find the ...

A: Given :f(x)=180x+3x2-2x3

Q: 2 Find the tangent to y = Vx - x+4 at x = 1. 2 The tangent to y = /x - x+4 at x= 1 is y =:

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Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

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Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

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Q: Σ (-1)", n = 0 40

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Q: dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your ans...

A: Topic:- derivatives

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 00 Σ f(x) =...

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Q: Consider the surface defined by f (, y) = ln(5y – 7x). Find the equation of the tangent plane to f(x...

A: (x0 , y0 ) = (2,3) tangent plane formula  f(x,y) = (x-x0 )f'x(x0 , y0 ) + (y-y0 )f'y(x0 , y0 )  here...

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: S-) dx 5.

A: Formula:∫ 1x dx = ln x+ C∫1a2+x2dx = 1atan-1(xa)+ C I=∫1x-5x2+1 dx=∫dxx - 5∫1x2+1dxI= ln x - 5 tan-1...

Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A: The length of the hypotenuse of a right triangle is 10.