1= y - 4y (-3, 3) z = 2y – y -1.

Q: Find the abscissa of the centroid of the region between the parabola y = 9-x^2 and the line y = 1-4x...

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Q: Find the limit. Select the correct choice below and, if necessary, fill in the answer box within you...

A: Given that: limx→-9x3+729x+9

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: S. Sxidx

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Q: 3. Find the domain and the range for the following functions: a) f(x) = -2(x+3)^2+4

A: Given function,f(x)=-2(x+3)2+4The domain of a function is the set of input or argument values for wh...

Q: Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x fro...

A: Our Aim is to find the moment of inertia of the region between the parabolay=8-x2 and the line y=2-2...

Q: Direction: Find the derivative of the function. S(p) = VP – 1 VP +1 Select one: 1. f'(p)

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Q: Find the 14th term of the geometric sequence with a2 = -8/3 and as = 64/81 a14

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Q: Two forces, with magnitudes 10 N and 15 N, act on an object at 40° to one another. Determine the res...

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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

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Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

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Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

A: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

Q: 2. Let g(x) = tan(x/2). Find the area of the region bounded by y = g(x) and the x-axis for -2sx S2. ...

A: NOTE: Refresh your page if you can't see any equations. . the given interval is  so the lower and ...

Q: sinxtanx/cosx+1

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Q: f(x) g(x) = 3x – 5 Зх — X + 5'

A: Solution

Q: ev dx 1 Vx

A: We have to find the given integral.

Q: lim (fx) f(c) lim f(x) DNE X-4 f(4) = 3 Once again we see that lim (fx)) and f(c) are not the same. ...

A: Here, the given function is: f(x)=x3-1  

Q: |S(1 – cos 4u) du

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,           T...

Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.

Q: Find the following integral using substitution of the attached image. Clearly indicate what

A: Given, Evaluate

Q: 14) Find the moment of inertia of the region between the parabola y = 8 − x2 and the line y = 2 – 2x...

A: Let's find. 

Q: -2

A: To find the given limits from the given graphs.

Q: By?dx +[2yłn () + 3siny dy 0 ;when x = 1, y = 0 ²+3x x+3

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Q: C. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4 + h. Note: your answer wi...

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Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

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Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

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Q: 2x+

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Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find. 

Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: Given f(x,y) = xy-3xy. Evaluate [ fdy O 14y-27y + C 6 O -6y +8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x+C

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) → ...

A: The given question can be solved as shown in step2.

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: For the function f(x) = 4e", calculate the following function values: f( – 3) = - f( – 1) = %3D f(0)...

A: Please see the explanation below and appreciate my efforts...

Q: Let lim f(x)= 11 and lim g(x)=9. Use the limit rules to find the following limit. X-9 lim [f(x)- g(x...

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Q: z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E Find (0,6,0), and (0,0,3)

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Q: c) f (x) = -(0.75)4x+2 – 5

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Q: 16 13. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the t...

A: Given that: r=165+3cosθ

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

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Q: Evaluate the following. Show solution using the basic formulas.

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Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Slope of a tangent line at t1 = 6.0 and y = at? dy v = lim At-0 dt

A: Given that: y=αt2

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

A: