Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

Q: = (2x²-3x+1 2x-1 ,x 0.5 Determine constants A and B such that is continu values of x. Show your…

A: Topic:- application of calculus

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A: In this question, we want to verify the green's Theorem.

Q: ll is thrown vertically upward from the top of a building (when t-Oseconds). It has a height functi…

A: Topic:- application of derivatives

Q: 3- Find Laplace transform for function shown in the Fig. (2). Fig (2) k -k 1 1 4 1 6 t

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A: Here, the given curve is: y=4xcos-1(x-1)⇒dydx=ddx4xcos-1(x-1)⇒dydx=4ddxxcos-1(x-1) Using the product…

Q: 77% 77%

A: Given: F(x,y) = 6i-2j

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 1 x√ 16x² - 1

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Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.

Q: The volume of a right circular cone of radius x and height y is given by V volume of the cone is 247…

A: To find dydx

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A: Given problem:- a.) Sketch the region described given y=ln(2x), the x-axis, and the line x=e b.) Set…

Q: Evaluate I C: arc on y = x³/2 from (0, 0) to (4, 8) (2x −y) dx + (x + 3y) dy.

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Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Find the volume of the solid formed by revolving the area bounded by the curve y^2 = (x^3)(1-x) in…

A: Given problem:- Find the volume of the solid formed by revolving the area bounded by the curve y2 =…

Q: 3. Determine the point(s) where the function y=₁, has a maximimum and/or a minimum. Find BOTH…

A: The given function is y=x2x-1

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A: Basic partial differentiation and integration is used

Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

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A: Let x be the number of general seat tickets sold and y be the number of reserved seat tickets…

Q: What is the symmetric equation of the line that is normal to the plane x + y + z = 9 at the point…

A:

Q: Question 2 Answer the following True or False: If lim f(x) = 0 then f(x) is continuous at x = 7. x-7…

A:

Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f '(c) = 0 at some…

A: The graph of f is shown. To apply Rolle's Theorem and to find all values of c such that f'c=0 at…

Q: dyx+2y 2x+y dx

A: We have to find the general solution of differential equation

Q: 6).  State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1 (−1)n…

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Q: ******* +70+ -10 -8 -6 -4 -2 ✔ +10+ y H 6 8 10 Q Write the standard equation for the hyperbola…

A: Given,

Q: b) sin (2x) tan (5x) Find lim- (Can't use L'Hospital's Rule)

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Q: Determine the vector field of F. F(x, y) = 4i - 2j O O Y X X

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Q: Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6…

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Q: Find the volume of the solid generated by revolving the region enclosed by x = √5y², x = 0, y = -2,…

A: To find the volume of the solid generated by revolving the region enclosed by x=5 y2, x=0, y=-2, and…

Q: 11. DETAILS ZILLDIFFEQMODAP11 7.2.043. Use the Laplace transform to solve the given initial-value…

A: laplace transform

Q: Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using…

A: Here, the given function is: f(x)=x-4, x>4

Q: The traffic flow rate (cars per hour) across an intersection is modeled r(t) = 300 + 900t - 270t²,…

A: Topic = Algebra

Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

Q: -6 4 -2 19 6 4 2 2 6

A: The standard form of the equation of a hyperbola with center (h,k)(h,k) and transverse axis parallel…

Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We have to find solution of the given initial value problem.

Q: Which of the following represents the graph of (x + 2)² = 4y - 6)? O -83 4 ry 14 11 10 9 8 " 5 4 3 2…

A: The given function is x+22=-4y-6

Q: Find the solution of the given initial value problem: y(t) = = y""+y' = sec(t), y(0) = 9, y′(0) = 3,…

A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

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Q: function f is given, and the indicated transformations are applied to its graph (in the given…

A: Given the query is to find the equation of the the function after transformation.

Q: Question 3 Answer the following True or False: If d & will work for the formal definition of the…

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Q: Find curl(5zi + 6xj + 3yk).

A: Our Aim is to find the curl 5z i^+6x j^ +3y k^-(i)

Q: y' = 4+t-y, y(0) = 1 (a) Find approximate values of the solution of the given initial value problem…

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Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

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Q: multiple

A: We have to find the value of the given integral according to the given information

Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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Q: Find the function M(x, y) such that M (x, 0) = eª and the differential equation M(x, y) dx + (sin x…

A:

Q: provide

A: Please refer to the image below

Q: Set up a double integral that gives the area of the surface of the graph region R. ƒ (x, y) = xª –…

A: Topic:- application of derivatives and integration

Q: Find the volume of the region bounded above by the sphere r = 2a cos0, and below by the cone = a…

A: Given: the sphere r=2a cos theta , cone ϕ=α0<α<π2

Q: Given: F(s) = 1/(3s+5). Evaluate: f(1) Use 3 decimal places

A: I am attaching image so that you understand each and every step.

Q: Evaluate the limit ALGEBRAICALLY (by simplifying), NOT just by graphing: lim h→0 (6 + h)² - 36 h

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