Consider the hyperbola Qu 144y + 864y - 25x – 50z = 2329 Qu Qu What are the vertices of this hyperbola? Enter your answer as two ordered pairs, separated by a comma. Qu Qu Qu Qu What are the foci? Enter your answer as two ordered pairs, separated by a comma. Qu Qu Qu- Sur What are the asymptotes. Enter your answer as two equations, separated by a comma.

Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Determine f(x) given f'(x)=x^2 -3x+1and f(0)=2

A: We have to find f(x) from given information.

Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

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Q: log54 (x) can be a negative irrational number. Select one: O True O False

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Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: The functions yi = e linearly independent solutions of the homogeneous differential equation x and…

A: Two solutions of a differential equation is said to be linearly independent iff their wronskian is…

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Q: The discrete exponential function is unrealistic and cannot happen in real life. True B False

A: Options (b) false is correct option. Because, Exponential function are realistic bcz exponential…

Q: 1. 2) (EF Simplify and find the value of (2) loga-1)2) log a - (2) 1) as a single log 2a1) logarithm…

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Q: ! Solve the boundary-value problem y"+ 9y = 0, y(0) = -3 and y(a/3) = 2.

A: To solve the given differential equation.

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: 2. 3x 1. 12xe dx

A: We have to find integration.

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Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: 4-x Evaluate f dx. 16-x2

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Q: Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i+11 sin(t)j + tk; t= T N || ミ|N ミ|N

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Q: Solve the initial plem - 6v + 25y = 0. v(0) = 2.

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Q: 5x 8. 10e dx

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Q: Find the arc length of the parametric curve. x = 4 cos(t), y = 4 sin(t), z = 3t; 0<t< T L =

A: Given parametric curvex=4 cost , y= 4 sint  , z=3t ;  0≤t≤π

Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: cosh? V 4-S dx Vx csch vx

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Q: Jse Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: N(t) at the given point. cos(t)i+ 6 sin(t)j+ tk; t = 2

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Q: 1. Ihe rodius of a circle is 9 centimeters. What is the area? 2. The diameter of a circle is 12…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

A: Given problem:-

Q: 3- f xvx2 +1 dx

A: Integration

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A: PV = kT   P = kTV                                               1…

Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: 3- f xvx2 +1 dx

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Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

A: This question can be solved using the concept of total derivative.

Q: 3. Let f(r, y) =rsin ry. Find: %3D (a) fz(I, y) (b) fy(r, y) (c) fyy(1, 9) (d) fyz(r, y)

A: Given f(x,y)=xsin(xy) Now fx= d/dx (f(x,y)) fy= d/dy (f(x,y)) fxx= d/dx(fx(x,y)) fyy= d/dy (fy(x,y))…

Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

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Q: answer 29 and 30

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Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

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Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

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Q: Question 6 of 10 n(x) = csc°(;w) Select the correct response: csc(-a) + cot(x) CSC - 1 sece'(승)…

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Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: 3- f xvx2 + 1 dx

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Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: (x² + 6)cotx 3 – cosxcscx Find f'(x) when f(x) 6cotx – 3(x² + 6)csc²x + 2xcot?x f'(x) = (3 – cotx)?…

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Q: Find the coordinates of the foci and vertices, the endpoints of the major axis, minor axis, and the…

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