If b and t are real numbers such that 0 < t < b|, which of the following infinite series has sum b²+1² ?

Q: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: In A CDE, CD = 12, DE = 5, and m/E = 83º. What is m/D to the nearest tenth of a degree? Enter your…

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Q: A dense particle with mass 6 kg follows the path r(t) = (sin(3t), cos(9t), 2t9/2) with units in…

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Q: Find the maximum value and the minimum value of the function and the values of x and y for which…

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Q: g'(x) = - g'(x) = g(x) = -4x³ + 14x² + 2x - 63 3

A: To solve the following problem

Q: Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx -= x²(x² -…

A: Option (d) is your correct option for detail....go through the solution

Q: Follow the steps below for the given function 6x + 5y = 3

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.1 as follows: Let f(1) = √I.…

A: Linear approximation L( x ) = f( a ) + f'( a ) ( x - a )

Q: Find an equation of the plane consisting of all points that are equidistant from A(5, -3, 2) and…

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Q: at is the general solution to the equation? 10 = 2 cos 0 tan 0 g solutions to the box to correctly…

A: Please see the below picture for detailed solution.

Q: f(x) = -(x-1)² use f'(x), find decreasing interval.

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Q: Find the interest rate needed for an investment of $10,000 to double in 9 years if interest is…

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

A: we need to find out the half life time for the given decay equation.

Q: Consider the function f(x) = 5 - 4x² on the interval [-5, 4]. (A) Find the average or mean slope of…

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Q: Use an algebraic method to find the angle between the vectors. Use a calculator to approximate exact…

A: We need to find the angle between vector u= -12, -5, and v= -1, 5

Q: Find an equation of the plane that passes through the line of intersection of the planes 4y = 15 and…

A: Given: x-4y=155y+z=3Perpendicular to the plane x+y+2z=11

Q: 8 1. Σ n=1 (80) 92n

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Q: Let y=tan(2x + 5). Find the differential dy when I = 4 and da = 0.2 Find the differential dy when z…

A: Explanation of the answer is as follows

Q: Find the vector equation that represents the curve of intersection of the cylinder x² + y² = 1 and…

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

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Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

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Q: Information about the functions, f, g, h, and p over some interval are described below. Based on the…

A: Given that ,

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

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Q: The position function of a particle is given by r(t) = (3t2, 3t, t² - 2t). At what time is the speed…

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Q: Find the general solution to the non-homogeneous differential equation. y" - 3y' = sin(4x) y(x) =

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Q: Consider the function f(x) = 10√x + 7 on the interval [2,5]. (A) Find the average or mean slope of…

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: 5. The altitude of a right circular cone is obtained, by measurel possible error of 2% in the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Consider the function f(x) = 4x³ - 3x on the interval [-5, 5]. A) Find the average or mean slope of…

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Q: QUESTION 1 In the Fourier series of f(x)=9x² + 1 for 0<x<27, the sum of the Fourier coefficients a…

A: Please see the below picture for detailed solution.

Q: 1. a) Find the local linear approximation of f(x) = x³ - 4x +3 at the point where x = 3 b) Use your…

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Q: 4 S² x² dx

A: We have given  that f(x)=x2, a=0, b=4, and n=8

Q: In the xy-plane, the graph y=x^2+bx+c, where b and c are constants, has x-intercepts at x=-2 and…

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Q: - Find the critical numbers of the function f(z) = −3x³ – 15x¹ + 10x³ + 5 and classify them. Round…

A: Given equation f( x ) = -3x5 - 15x4 + 10x3 + 5

Q: A box (which includes all 6 sides) is being constructed with a rectangular base. The base has length…

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Q: Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate…

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Q: Find the derivative of the following functions using the definition of the derivative 1. f(x)= 4x -…

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: A student decides she wants to save money to buy a used car, which costs $2600. She comes up with…

A: Please find the solution as per Bartleby guidelines

Q: (b)) Find an equation and then identify the surface that consists of all points P such that the…

A: The solution is shown below- As per company guidelines only one question is allowed to answer at…

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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

Q: Suppose fand g are differentiable functions with the values shown below. f(3) = 6 f'(3) = 7 g(3) = 4…

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Q: Find the solution to the boundary value problem: The solution is d²y dt² dy dt +65y = 0, y(0) = 4,…

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Q: 2t (4te²t cos(t) + te-2t)

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Q: Find g[f(-2)]. f(x)=x² +4; g(x)=4x-1 g[f(-2)] = (Simplify your answer.)

A: Given: f(x)=x2+4; g(x)=4x-1

Q: A rectangular beam is cut from a cylindrical log of radius 15 cm. A cross-section of the log is…

A: The given figure is:   Radius r=15 cm Let the dimeter is d  ∴d=2r=215=30cm

Q: [cos* xdx

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Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 4 inches and the…

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Q: 1. The position of an object moving horizontally along a straight line as a function of time is s(t)…

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Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

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