find the center, vertices, foci, and asymptotes of the hyperbola. x² 144 y² 25 1

Q: Refer to the given graph of G. ул 10 Select one: a. -3 b. 0 C. 1 Determine the value of x where the…

A: Consider the graph of G

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 4), b = (-1,…

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Q: A solid is generated by revolving the region bounded by the following about the y-axis. 1.2 y ==x y…

A: Given function y = 16x2y = 6

Q: 1) fx³ + e* +2dx

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Q: 2 2. Consider the series Σx-₁(-). Find a formula for the nth partial sum S, and k k+2 determine if…

A: we have given series ∑k=1∞ 2k-2k+2

Q: 6) Write the Maclaurin Series for f(x) and the values of x such that the series is valid. f(x) =…

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Q: O Write an equation for an expone function with no horizontal or vertical shift that goes through…

A: The exponential function is of the form y=abx

Q: 2 v ) m]f{x UN

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Q: Consider the function h(t) = 6 ² + restricted to the interval absoluto max explain why. or min on…

A: The given function is: ht=6t3-2t This is restricted to the interval 0,8.

Q: Use the properties of logarithms to condense the following expression as much as possible, writing…

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Q: 1. The biologist is studying the increase in population of a particular bacteria. The number of…

A: We have to find the number of bacteria in 2 hours and time when increasing rate is 48000/min.

Q: Find the derivative(s) of the explicit solution(s). dy (Use a comma to separate answers as needed.)…

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Q: Fast pls solve this question correctly in 5 min pls I will give u instant 3 like for sure Mnty…

A: Given function g( t ) = t - t( t )18 Formula used ddxxn = nxn-1

Q: Determine the equation of the hyperbola satisfying the given conditions. Write the answer in the…

A: The Foci 0,±13 ,vertices 0,±5

Q: =y³ + x² + 4xy - 2x - 13y +7. For each of the points provided, determine 2. Consider the function…

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Q: Solve the initial value problem. y''+4y'+4y=6 , y'(0)=0 , y(0)=1

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Q: Has 200 feet of fencing to enclose two adjacent rectangular corrals, as shown in the following…

A: A(x)=2x(200/3 - 4x/3)

Q: If B is added to C = 7.11 +4.7, the result is a vector in the positive direction of the y axis, with…

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Q: Evaluate the definite integral. 10 •π/4 (9ex - 4 sec(x) tan(x)) dx

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Q: Evaluate the following integral in spherical coordinates. 2 2 SSS ( x² + y² +2²) 19/2 dV; D is the…

A: So for cartesian coordinate to spherical coordinate the conversion formula isx=r sinϕcosφ,…

Q: Growth of Bacteria Under a set of controlled laboratory conditions, the size of the population of a…

A: give bacteria growth function f(t)=3t2+2t+1

Q: Y = -(x-3)² + 4. Find the area of the region enclosed by the curve.

A: To find the area of the region enclosed by the following curve. y=-x-32+4

Q: Baby Boomers and Social Security Benefits Aging baby boomers will put a strain on Social Security…

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Q: Use the​ price-demand equation p+0.001x=50​, 0≤p≤50. Find the elasticity of demand when p=​$22. If…

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Q: Solve the following IVP: f'(x) = 4x - 1 given f(2)= 5

A: Given: f'(x)=4x-1, f(2)=5 We are required to: Solve the given differential equation.

Q: use the given information to determine the equation of the ellipse. Foci: (±2,0), vertices: (±5,0)

A: The general equation of an ellipse with center (0,0) and major axis  parallel to X axis is…

Q: 2. Describe a series of transformations that would transform f(x) = |x| +5 into g(x)=2x-1 Be sure to…

A: Describe a series of transformations that would transform f(x)= |x| +5 into g(x)= -2|x| -1 .

Q: Consider the function f(x) = 5x + 3x¯ For this function there are four important intervals: (-∞, A],…

A: Given function is f(x)=5x+3x-1 Now first we shall find critical points then find whether the…

Q: Sketch the region enclosed by y = 5x and 9x². Find the area of the region. y =

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Q: 00 Σ n=2 In n 2 n

A: Note:- As per the guidelines we are supposed to attempt only one question so please upload the next…

Q: Only a portion of the graph of f(x) is shown below, but you can assume that f(x) is a continuous…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3) The amount of radioactive substance after x years can be modeled by N(x) = 12e-0043x (a) How long…

A: The amount of radioactive substance after x years can be modeled by  N=12e-0.0043x. (a) To determine…

Q: Use the method for solving homogeneous equations to solve the following differential equation. (14y²…

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Q: State which property of determinants is illustrated in this equation. 8-7-1 16 8-7 3-5 7 16 8-7…

A: 8-7-1168-73-57=-168-78-7-13-57

Q: use the given information to determine the equation of the parabola. Focus: (3,6), vertex: (3,2)

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: 7. f(x) = √√sinx³ Hint rewrite first Write answer in radical form. Туре.

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Q: 8) Find the Taylor expansion of f(x) at the given f(x)=√x, c=4

A: Given that , fx=x , c=4 find the Taylor expansion of fx at the given c.

Q: dy 1) (a) Find the equation that satisfies the following IVP: =.5y_y(0) = 20 dx (b) Find the IVP…

A: To find out the particular solution of the given differential equation.

Q: Consider the one-parameter family of functions given by g(x) = xe¹ - Ax where A > 0. (a) Find g(x) -…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the equation. 3 xét tốt dx dt An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: 15. 1.1 cot 1.1cot (In (x + 1)) x³dx x² +1 Туре. U=. U'=.

A: We have to evaluate the integral. First we will substitute and then evaluate the integral.

Q: 12. f2cos² (4x)sin (4x) dx Туре. U= U' =

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Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 4)…

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

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Q: Solve the given initial value problem. y"+y' = 0; y(0)=-4, y'(0) = -3 The solution is y(t) =

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Q: A company has a badly designed product, but a huge advertising budget. The product sells well at…

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Q: 4. The function (x) has been transformed into the function g(x) shown below: 100 g(x) 0 10 Which of…

A: In this graph there is two transformation.

Q: Solve the initial value problem. (+2y²x) dx + (2x² - cos y) dy = 0, y(1) = x The solution is

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Q: Use the graph to find the following limits. (a) lim f(x) (b) lim f(x) x -3 x--1 (a) Find lim f(x) or…

A: limx→cf(x)=L if and only iflimx→c-f(x)=limx→c+f(x)=L