Find the centroid of the region in the first quadrant that is bounded above by the lines y = 2x and below by the parabola y = x2/2.

Q: X dx У3— 2х — х2 - Hint: Complete the square for the denominator for part c.

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Q: A spherical balloon is being inflated. Find the rate (in ft?/ft) of increase of the surface area (S ...

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Q: S tan-3 (x) sec² x dx

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Q: 3. A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft/hour. The base...

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Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

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Q: solve y’’ + y’ – 6y = e2x – 2

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Q: Evaluate the integral. (In(x))² x3 dx

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Q: 11. Find the radius of convergence of the following power series. a. Ση! (r- a)". | b. Σ (x-2)" Vn² ...

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Q: If f(x) = 4 sin(x) + In(3x), find f'(x). f'(x) = Graph f and f' in the same viewing window. y y 4 2 ...

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Q: Write the formula for the derivative of the function. f(x) = 11x4 + 15x3 + 9

A: Given query is to find the derivative of the function.

Q: 1) Find the vdlemes of the oolids generated by revolving the resion in the first quuadrant bounded b...

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Q: Question Find the derivative of f(x) In (3x³ + 2x²). Provide your answer below: f'(x) = O

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Q: You decide to begin selling light sabers at the local fair. Your cost for each light saber is $1.03 ...

A: Given query is to find find the cost function, revenue function and unit required to be sold to make...

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Q: The top of the ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the botto...

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Q: • Enter your ten data points in the chart below: Price ($/lbs) Quantity (Ibs) 3.467 10.000 3.555 9.8...

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Q: 1.(Easy) For the following differential equations, state the independent and dependent variables, th...

A: As per bartleby guidelines we only give first three questions answers. 

Q: dx A) cosh (*) O tan sin sinh

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

Q: 9. dx 1+ e* A - In le-* |+ C - In le * + 11 + C B In le*|+ C B D In le-* + 1|+ C

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Q: Find f'(-4) if f(x) = 4x. 3 f'(- 4) = (Simplify your answer. Type an integer or a fraction.) Туре

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: Evaluate the integral. Tt/3 V1 + cos(2x) dx

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Q: Question 8 Which of the following is NOT EQUAL to the given integral. tanx There is no correct answe...

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Q: 2. Find the area of the region enclosed by y = 3.5x and z 9-y. %3D 2- 1- 1234 5 6 7 8 9 -1 of Use ho...

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Q: Evaluate the double integral. xy dA; R. R is the region in the first quadrant enclosed by y = Vx,y =...

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Q: tan 7. dr r2

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Q: 2x + lim X→-2 X + 2 X + 2

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Q: sin 4zdz J 16+ sin ª 2= 4.

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Q: 9. Find the bounds of integration a, b, c, d such that T (a, u) dydar. f(x, y) dædy =

A: x≤y≤4x=y →y=xy=40≤x≤4x=0 to x=4  

Q: im Cesx X200 2.

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Q: A company makes computer chips from square wafers of silicon. A process engineer wants to keep the s...

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Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x) t...

A: Here, the given revenue function is: R(x)=75x-x210⇒R'(x)=75(1)-2x10=75-x5

Q: Evaluate the integral. S coth 7x) dx A) In sinh 7x *C B) In lanh 7x +C © } csch' 7x + C 7 In

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Q: Solve the following equations in Z6 with x expressed in both standard and non-standard names: xx [5]...

A: We have to find 1 and 2)

Q: Find values of x, if any, at which fis not continuous. x – 1 + х2 — 1 3 f(x) = 1) Since the sum of t...

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Q: f (x) %3D х7 + 9х3 — 2

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Q: A. Determine the indicated derivative for each of the following functions. 1. Find fxzzy for f(x,y,z...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) Whe...

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Q: 5. A stone dropped in a pond sends out a circular ripple whose radius in- creases at a constant rate...

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Q: At what point on the ellipsoid x2 + y2 + 8z? = 1 is the tangent plane parallel to the plane x + 2y +...

A: Given :   Ellipsoid : x2+y2+8z2=1 Plane : x+2y+z=1

Q: A person starts walking from home and walks: 5 miles East 4 miles Southeast 3 miles South 3 miles So...

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Q: Evaluate the Integral dx – (**V2Tan-1x-(Tan-1x)2 1-х4 '2Tan-1x-(Тап-1x)2 3. S х?/2Tап-1x- (Тап-1x)2 ...

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Q: 2x – x3 1. Evaluate dx. (r – 1)²(x²+1). -

A: we want to find the value of the given integral I=∫2x-x3(x-1)2(x2+1) dx

Q: x³ + 5 dx x4 – x3 + x²

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Q: Use the differencean+1 – an to show that the given sequence {a, } is strictly increasing or strictly...

A: Difference = an+1 - an= (n+1)9(n+1)-8 - n9n -8=(n+1) 9n+9-8-n9n-8=n+19n+1-n9n-8=(9n-8)(n+1)-n(9n+1)(...

Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

A: We have the series ∑n=0∞(-1)nxnn+3 The nth term of the series is an=(-1)nxnn+3

Q: d'y dy and dx 2. Find by implicit differentiation. dx? 5xy? = 1

A: The given function,    5xy2=1

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) ...

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