Evaluate the integral. S. 4 √x (1+4√x) 3 dx

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A: formula for maclaurin series isf(x)=f(0)+xf'(0)+x22f''(0)+x36f'''(0)+......

Q: 11. Which of the following is equal to n f cos(x)dx? n

A: Given, ∫14cosxdx

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A: Let's find equation of parabola.

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Q: Find sin 2x, Coszx, and tonex if sinx = ? JT3 and x terminates in quadront II.

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Q: Suppose z = x² + y5. Then dz/dt = O dx O dy dt 2r +5y- dt dx 2r + 5y dt dx 10 ¹(1)(ª) dt dx 2-+5- dt…

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Q: Hello I cannot understand the answer

A: Let's solve given integration.

Q: ΔΔΔΔΔ . α) use substitution and the evaluation theorem to calculate the followin integral δε 1 xl…

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

Q: Find the critical point(s) of the function. f(x, y) = x³y + 12x² - 8y +5

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Q: On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for…

A: Given, On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the…

Q: Find the charge contained inside a cube with vertices at (±1, ±1, ±1) when

A: To find the net charge enclosed within the cube.

Q: Find the Taylor polynomial P₂(x) for the function f(x) = 5 centred at the point c = 6 5+2 P2₂(x)

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Q: et f(x) == be defined on the interval X [1,3] Find the number satisfying the Mean Value Theorem's…

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 3y within the domain x² + y² ≤ 1. 1.…

A: We have to find the maximum and the minimum values of the function with the given constraints.

Q: X √1 + 2x 68. ·So- dx

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Q: 1. In the order of dzdydx, find the volume of the solid bounded by x² + y² = 4 and the planes x + z…

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Q: Diagonalize the following matrix. 8 10 P = D= -3 - -3 - P-¹ = E

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Q: A certain liquid evaporates exponentially. Initially, there is 198 ml of the liquid and each hour…

A: Given liquid evaporates exponentially so model used as follows x = x0e-ktwhere x = concentration…

Q: For the demand function D(p), complete the following. D(p) = 160 - 4p

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Q: 3 n-∞0 2-ni (a) lim (b) lim Z-2 (c) lim 7-2 x²-4 x+4 4 x-2 I

A: Solving the first three subparts,

Q: Find the Maclaurin series for f(x) = x³e²³. -Σ T³e²²³ = n=0 On what interval is the expansion valid?…

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Q: Find the equation of the line through ?=(15,14) such that the triangle bounded by this line and the…

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Q: Find the function f with f'(x) = cosx-x³, f(n)=3.

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Q: Matrix A has characteristic polynomial p(x) = (-45A)(5)(27 - λ). -3 4 32 3-16 32 -16 -13 4 Given…

A: Please see the below picture for detailed solution.

Q: 3. The series n=2 n² +1 3n³-√n-1 (a) is Absolutely Convergent (b) is Conditionally Convergent, but…

A: Solve the following

Q: 1) Suppose the function f(x) is continuous everywhere it is defined and that the domain f }. [Read,…

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Q: 6e¹ dt =

A: We need to find out the integration of the given integral.

Q: ·S (a) tan-¹(x) + C (d) tan-¹(2x) + C (g) tan-¹ (r) + C (i) None of the above 1 1+4x2 15. Evaluate…

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

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Q: /19 - 10/2) d² - 10 dz 10√

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Q: Use a definite integral to find the area under the curve between the given x-values. = 8e2x from x =…

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Q: Write the sum using sigma notation: A 8 + 12 + 16 + 20 + . . . + 60 = Σ Β, where B, n=1 A = B =

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Q: got

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Q: QUESTION 11 State the y-coordinate of the point on the parabola y2=2x that is closest to the point…

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Q: 11. F(x, y, z) = yi+zj+xk S is the part of the plane x + y + z = 1 that lies in the first octant,…

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Q: Let The amplitude of this function is its period is its phase shift is and its vertical translation…

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Q: A flexible cable suspended between two vertical supports is hanging under its own weight. The weight…

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Q: 17. Which of the following substitutions is best for the integral [ best for the integral + 25 dz dx…

A: Solve the following

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Q: Determine whether the series is convergent or divergent. n²n (1+2n2) 8 n= n

A: Please see the below picture for detailed solution.

Q: Find the general solution of the linear nonhomogeneous recurrence relation an = 3an-1 + 10an-2 +…

A: To solve the following nonlinear recurrence relation

Q: For y = 7 sin(2x - ), πT 6 ts amplitude is ts period is ts phase shift is

A: For the function, y=7 sin2x-π6, to determine its amplitude, period andphase shift.

Q: The figure y graph of the function f(x) = 2 4 m X 6 8 10 shows the

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Q: Find the Maclaurin series for f(x) = cos(13x). cos(132) – Σ n=0 On what interval is the expansion…

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Q: Rate of Change of Cost McJesters can produce a hamburger for $2.44. If the restaurant's daily sales…

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Q: 3 9 Using sigma notation, write the following expression as an infinite series: 1+ − + · 4 16 n2+ 1…

A: By using sigma notation, to write the following expression as an infinite series.1+34+916+2764+...

Q: e. If cos y=x-y, then find dx

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Q: Use the exponential function y = 4 ex- 17 where k is a positive constant to answer the following…

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