Evaluate the integral. [₁² ( 2x + 1) dx

Q: 9. Find all points of intersection between the curves on [0,2π]. a. r = 1+ sin0, r = 3 sin 0 b. r² 2…

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Q: 4) Write the equation based on the graph. (ST, 14 2 14 15π 2 ,6

A: Equation

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ts 1. ((x + 3y²) dy

A: Since you have asked more than one question. so i have done first for you. If you want more question…

Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

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Q: Find the limit (if it exists) of limx->3+ (3-x)/|3-x|

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Q: Evaluate the definite integral. (₁ sin(2t)dt

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Q: 5. y=12x-3 1-2

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Q: Find the tangent line to the graph f(x) = 6e^-8x at the point (0,6).

A: To find the tangent line to the graph of fx=6e-8x at the point 0, 6.

Q: Using Delta Epsilon Proof Prove that (2.) lim sinx/×=1 as x --> 0

A: Using Delta Epsilon Proof Prove that (2.) lim sinx/×=1 as x --> 0

Q: lim (x,y)+(5,10) ‚ ( ²½ + ² ) ² = lim (x,y)+(3,4) \ X

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Q: 2 (a) [²9 (b) (c) g(x) dx 9. J g(x) dx 7 [²9(x) g(x) dx

A: Concept ∫abf( x )dx = Area under the curve f( x ) from a to b

Q: ] = ²P (£ + 29 + +) 7 Find(+6e+3) dz

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Q: (x) centered at x = 7 for f(x) = 1+z A+B(= D+E(x-7)

A: We have to find the values of the given following conditions according to the given information

Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp

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Q: 5 3 2 1 Find the area under the curve y 5 I over the interval [1, 2].

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 5 f(x)…

A: Solve the following

Q: f(x) = sin лx π.χ

A: given function is  f(x) = sinπx⇒f(0)=sin(0)=0and…

Q: 7. dx dy 4y - 3x 2x-y

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Q: Evaluate answer cos(x)ln(1 + x²) +².8 1+ el.63z-74.8 - dr.

A: ∫11cos(x)ln(1+x2)+x2.81+e1.63x-74.8dx

Q: Evaluate the following limits: a) lim 1+ (1 + √/1² n b) lim x-0 1+x X c) lim(1+sin 4x) cotx x-0*

A: We have to solve Given limits.

Q: Given A ABC~ A ADE, find the length of line segment AC. B D 33 3 110 Picture is not drawn to scale…

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Q: 4. *. Evaluate lim x-0 ek sin(x²)(1+2x²) x4 I where k is a constant.

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Q: 7 Given that f(x) dx 7 evaluate f(x f f(x) dx. = 5 and 5 f f(x) d dx = 4,

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Q: 4) The function y₁ (x) = x is a solution of the equation (x² + 1)y" − 2xy' + 2y = 0. Use Abel's…

A: The given differential equation:x2+1y''-2xy'+2y=0.Also, it is given that y1x=x is a solution of the…

Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

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Q: The total cost (in dollars) to produce q items is C (g) dollars. The marginal cost of producing q…

A: Cost

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -13, f'(0) = -6, f"(0) =…

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Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 4x 24 O b. 1 O c. 1 6 O d. 4x 4x 1 18 O e. none

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Q: Find the roots of (D4 + 4)y = 0 a. +2i, ±2i + 2 O b. 2+2i, ti O c. 1 ti, 1+i

A: Given equation ( D4 + 4 )y  = 0for the root D4 + 4 = 0

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

A: here ln(5x)2 can be written as  ln(5x)2=2ln(5x) ln(5x)2=2(ln5+lnx) now we can write as…

Q: Draw the region whose area is given by the definite integral. S₁ Which graph shows the region whose…

A: Please see the below answer.

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: 3 lim x→∞ x 4

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Q: -5<x<0 0≤* <1, then 1≤z<5 0, If f is the Fourier series of g(x)=9x, (11, f(x) =+ Σ[0) 0 (™™ +) +…

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Q: For y=f(x)=9x3​, x=4​, and Δx=0.08 find   ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​,…

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Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

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Q: (D³-2D²-5D+6)y=e³x, Find Yp O a. 1 10 O b. OC. xe O d. xe 1 10 3.x 3x 10 10 e. none 3x 3x

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Q: wrong answer

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: Use the Fundamental Theorem of Calculus to evalue the definite integral D=∫21(1+2y)2dy. NOTE:…

A: ∫xndx=xn+1n+1+cD=∫21(1+2y)2dy

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3- 4 32 1 2 3 4 5 6

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Q: = A particle is moving with acceleration a(t) = 6t+ 2. its position at time t = 0 is 8 (0) 10 and…

A: NOTE: Refresh your page if you can't see any equations. . the given acceleration function is

Q: Calculate Tu, Tu, and n(u, v) for the parametrized surface at the given point. Then find the…

A: NOTE: Refresh your page if you can't see any equations. . here we have u=5 and v=9 so the point…

Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

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

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, + i O c. 1 ti, 1+i - ti O d. - 1 ti,…

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Q: The Pythagorean Theorem Find the perimeter and area of the right triangle shown below. X Perimeter =…

A: To find the perimeter and area of the right triangle shown below.

Q: ao= a₁ = a2= a3 = 9. 9- a4 = (c) The answer in part (a) equals the sum of the infinite series in…

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Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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