Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity directrix x = -3

Q: What is the degree and order of the given differential equation? d²y dx2 5 + degree 1 and order 3…

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Q: (a) Find the velocity function of the particle at any time t > 0. v(t) = (b) Identify the time…

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Q: Evaluate the limit using L'Hopital's rule 6 cos(7x)sec( – 3x) lim x →

A: limx→π26cos(-7x)sec(-3x)=limx→π26cos(-7x)cos(-3x)cosx=1secxit is 00 form use l'hospital rule

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

A: Let number of days plant A operates be x and plant B operates be y We have to find Min Z = 830x +…

Q: Use an inverse matrix to find [x] for the given x and B. 5 (-3) -6 B= -3 4 [x] = (Simplify your…

A: We will find the required .

Q: A vehicle purchased for $25,000 depreciates at a constant rate of 8%. Determine the approximate…

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Q: Given y=pq, find dp/dt when p=30, q=250, dq/dt=-200, and dy/dt=-5250.

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Q: For the sequence an = — 1)" 20 n²

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Q: Write the answer in a better format please. How do i know what is divided by what or what is raised…

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Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 2, 2). Vf(-2,2)

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Q: reference and terminal point of 13pi/4

A: reference angle - angle between terminal arm and x axis let θ = 13π4

Q: Decide whether the series k=1 1 k7 + 3k + 6 converges.

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Q: The series converges. Σ 2( − 1) 1.1-0.2/k○ diverges k=0

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Q: Answer

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Q: Find the absolute maximum and minimum of f(x, y) = 4x + 2y within the domain x² + y² ≤ 25. Please…

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Q: Sketch the solution to each system of nonlinear inequalities in the plane: 21 21 25. [x+2y² > 2 x² +…

A: 25)

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Determine the sum of the following series. 3)n-1 6n n=1

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Q: Moodle home Select one: X Find the derivative of g(x) = f(x) g'(x) = g'(x) = O g'(x) = g'(x) = g'(x)…

A: We will find the required derivative.

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

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

Q: Differentiate the series represented by the function f below term-by-term to find the power series…

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Q: Let z(x, y) = дz & მა Calculate дz მა дz Ət || || 7x2 - 9y2 where x дz St by first finding ?х дз' >…

A: The given function is  z(x, y)=-7x2-9y2 where x=-8s+5t and y=8s+3t

Q: Use the Integral Test to determine whether the infinite series is convergent. ∞ 7n (n2 +…

A: The given series ∑n=1∞7nn2+135 We have to find the convergent of the series using integral test.

Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

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Q: In the implicit function exy² + x² = 1, y is a function of x. Find an explicit formula for y and…

A: Given function:- exy2+x2=1

Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: Use the formula d = √²+r₂²-2rr₂ cos (0₁-0₂) to find the distance between the two points indicated in…

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Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 5x² -…

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Q: Work Problem: Let f be a function defined by - f(x,y) = 6x³y4 – 7y. Evaluate the following: Vƒ(1,…

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Q: Section 2: Find sin and cos 0 if the terminal ray of angle 0 passes through the given point. 7.) (3,…

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

Q: Calculating First-Order Partial Derivatives In Exercises 1-22. find af/ax and af/ay. 14. f(x, y) = e…

A: (14).The given function is:f(x,y)=e-x sin(x+y)

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: The region R is bounded by the ellipse:(x-4)216+(y-2)21=1

Q: a.) Without regard to the context of your parabolic model, what is the mathematical domain of your…

A: Given:  Parabolic model: y=-7x2/60+119x/60+7                                       (1)…

Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

A: Let's find power series of function derivative f'.

Q: Find the mass of the ball of radius 2 centered at the origin with a density f(p,q,0) = 7e¯p³. The…

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Q: nd a in terms of u when : U= Vln(z) +2, u = ln(3 +1), u = arctan(e® +1)

A: Given query is to find x in terms of u.

Q: Similarly, to find the slope of the secant line passing through P(−2, 4) and Q(−2.5, 3.75),…

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Q: Find the volume of the region between the cylinder z = 2y² and the xy-plane that is bounded by the…

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Q: Consider the function f(x)= lim X→∞0 a. Evaluate lim f(x) and lim f(x), and then identify the…

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Q: A box with a square base and open top must have a volume of 78732 cm³. We wish to find the…

A: let  length of base = x  height = y volume V = 78732

Q: Determine the following limit, using ∞ or -∞o when appropriate, or state that it does not exist. lim…

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Q: K Consider the function f(x) = - (a) lim f(x) = X→∞0 3 4x³ + 18x² + 18x lim f(x) = (a) Evaluate lim…

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Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: (b) (2,2√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (r, 0) = (ii)…

A: Topic = Geometry

Q: Suppose that f(x, y) = 2x + 4y at which −3 ≤ x ≤ 3, − 3 ≤ y ≤ 3. Absolute minimum of f(x, y) is…

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Q: coordinates are giv (a) (7,2π/3) (b) (2,17π/6) (17π/6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the vertex, focus, and directrix of the parabola. 7x + 3y2 = 0 vertex (x, y) =

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Q: Consider the following. x = 5t + 8,      y = 8t + 5 (a) Sketch the curve by using the parametric…

A: NOTE: Refresh your page if you can't see any equations. . to graph the line, we need only two…