8 x2 = 4y and y %3D x2+4

Q: Determine the I coordinate of the centroid bounded by curves of the polynomial functions y = r* – x ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: The sum of a geometric series is as follows: S = 1.0 + 1.1 + 1.21 + 1.331 +... up to 50th term. Dete...

A: SUM OF GEOMETRIC SERIES

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Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: Apply Differential Equation A lake has a volume of 458 cubic km, and its rate of inflow and outflow ...

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Q: y = 100(1 – e-0.451t). (a) What function gives the instantaneous rate of change of the concentration...

A: Given query is to find the rate of chnage for the function.

Q: Find a particular solution y, of the differential equation: 2y" + 4y' + 7y = x2

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence? ...

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Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2 

Q: the

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Q: Suppose that the total cost (in dollars) for a product is given by C(x) 1700 + 160 In(2x + 1) where ...

A: To find the marginal cost function.

Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: (a) We are given the vector v = < 15 , -8 > The magnitude of vector v ||v|| = √(152+(-8)2) =√(...

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: Consider the following power series: 00 n (5-2x)" Σ 2n + 1 n=1 Show that the series is conditionally...

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Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v (0, 24) %3D a = %3...

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Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

Q: Find an equation of the tangent line to the hyperbola defined by x² – xy – 3 – x = -22 at the point ...

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Q: y = 3x?+1 ; (0,1)

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Q: Find the volume of the solid obtained by rotating the region bounded by x =y and x = 5y about the y-...

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Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1...

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Q: Determine where the function is (a) increasing: (b) decreasing, and (c) detormine where relative ext...

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Q: What is the chromatic number of the planar graph representing this map? A B G D E F K J M

A: now In this given graph the maximum vertex part of graph is either F or I (with 7 vertices each) Now...

Q: Find the fifth partial sum, S5 =E=14( n-1 4(2"*. Write as a fraction reduced to lowest terms in the ...

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Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Find the critical points of the function f(x,y)=x^2+y^2+6x−10y+1

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Q: O Evalunte

A: We will evaluate the double integral. 

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region b...

A: Topic = volume

Q: Determine h' (x) when it is given that [h(2x)] 16

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Q: A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

A: Given

Q: 3. The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T...

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Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: Find all numbers x such that the series n=1 converges!

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Q: What are all of the solutions for the equation: cos²(θ) – 3cos(θ) – sin²(θ)= –2 on the interval of [...

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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- equation of plane

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: find the inflection points of f(x) = (x-2)4/3

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