(a) lim >L sin' (t) t-i

Q: $(x²+ 4 + + 3) dx

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Q: Determine the radius of convergence and interval of convergence of each power series. ∞ xn Σ(-1)",…

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Q: Calculate the area of ​​the shaded section included between the functions.

A: Given: f(x)=x2g(x)=-2x+3 We are required to: Find the shaded area.

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A: NOTE: Refresh your page if you can't see any equations. . use the inequality rule  For  sinx≥ a, if…

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A: Given equation are x=2t-1 and y=6-3t

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A: Height of the light from the wall: 20  feetLet the height of the wall be:  y  feet

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A: Two towers are located 10 km apart  Detailed solution I have done with clear diagram...go through…

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Q: Question 7 What is the value of A 1.04 B C D 2.18 2.65 of log (11) 3.67

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 (1-2x)6 dx…

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Q: Find g(x) if g'(x) = (60x² 80x) g(x) = 4x 4 - 8x and g(0) = 3.

A: Giveng'(x)=(60x2-80x).44x3-8x2  and g(0)=3

Q: Find the area bounded by the parametric curve x = cos(t), y=et, 0≤ t ≤ π/2, and the lines y = 1 and…

A: We need to find area.

Q: Σ n=l n3 – 2n (2n + 1)3

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: given  dydx=2x-3we know→(i)  ∫xndx=xn+1n+1+c

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Q: Consider the function f(x) this interval. 1 = on the interval [3,9]. Find the average or mean slope…

A: Consider the function fx=1x on the interval 3, 9. To find the average or mean slope of the function…

Q: 1. Evaluate x-1 (x+5)(x+3) dx. Show all steps of partial fraction decomposition.

A: We have to integrate (x-1)/(x+5)(x+3)....using partial fraction

Q: What is the integral of f(x) within the interval [2, 6]? 6 2- 2 4 6 8 Created with a trial version…

A: Given: We are required to find: Integral of f(x) within the interval 2,6.

Q: Note: The volume of a sphere is given by V = = Helium is pumped into a spherical balloon at a rate…

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Q: - A boat is pulled into a dock by a rope from the bow through a ring on the dock 6 feet above the…

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Q: Determine the radius of convergence and interval of convergence of each power series. (x + 2)n…

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Q: The function, f(x) = 104.5 x2-1501.5 x + 6016 models the death rate per year per 100,000 males,…

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Q: Let y = 3x². Find the change in y, Ay when a = 2 and Ax = 0.2 Find the differential dy when x = 2…

A: y = 3x2As we know that ∆y = y( x + ∆x ) - y( x )

Q: 2. Find the value of k so that the line [x, y, z] = [2, -2, 0] + t[3, 5, k] is parallel to the plane…

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Q: For each problem, sketch the curves of the given equations in a graph and find the area of the…

A: Given curves equations y=lnx,y=1-x,y=2

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Q: Consider the function f(x)=1-5x², -5<x<2. The absolute maximum value is and this occurs at x = The…

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Q: Find the area of the "triangular" region in the first quadrant that is bounded above by X X 4 the…

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Q: Use the graph of the line to find the x-intercept, y-intercept, and slope. Write the slope-intercept…

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Q: The graph of f(x) = 3x¹-16x³ +24x² +48 is concave down on the interval ○ (0, +00) 0 (-00, 2),…

A: f(x) is concave down if f"(x)&lt;0.

Q: A rectangle is bounded by the x-axis and the semicircle y = 49-x² (s

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4x + 6y - x² - y² + 8, D =…

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Q: Use the Monotonic Sequence Theorem to show that the sequence n 3n is convergent.

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Q: Determine the radius of convergence and interval of convergence of each power series. 8 n=1 (-2)"xn

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Q: the line with the equation -18x-6y=-12

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Q: Find the Taylor series representation of f(x) = ln x at a = 1. Write your answer in summation form.

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Q: Given x = sin 7t and y = cos 7t, find the following derivatives as functions of t. dy/dx = = d²y/dx²…

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Q: Consider the function f(x) = 5x³ 4x on the interval [-5, 5]. Find the average or mean slope of the…

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Q: Determine the radius of convergence and interval of convergence of each power series. Σ iM8 xn

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Q: The total charge in a region R in the xy-plane that has a charge density of o(x, y) is given by [(x,…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = cos(t) + sin(t),…

A: As s( t ) = position of the particle a( t ) = acceleration of the particle a( t ) = d2sdt2v( t ) =…

Q: A mass of 1500 grams of a particular radioactive substance 700 decays according to the function m(t)…

A: To find when does the mass reaches 40 grams

Q: Generic Corp, a manufacturer of doodads, has a daily marginal cost function of C'(x) = 0.81(0.08x +…

A: Marginal cost function C'x=0.810.08x+0.120.04x2+0.12x+5-25

Q: x² - 6x + 9 lim x3 2x³ 3x² - 27

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Q: SHOW ANSWER f(x)=1/x, a = -3

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

A: According to our guideline we are supposed to answer only the first question if you want any…