Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations of the asymptotes.

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A: Cylindrical Coordinates:       Put x= r cosθ and y=r sinθ and z=zthen,      r = x2+y2 and θ =…

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A: We have to find smallest positive coterminal angle of -13π/3. And we have to illustrate that angle…

Q: 3 37 Calculate L4 for f(x) = 24 cos () over [, *). %3D L4

A: The given function is: f(x)=24cosx3 The given interval is: 3π4,3π2 So, ∆x=3π2-3π44=3π44=3π16

Q: (4) Consider the function f(r) = r +2- 36r +4. (a) Find the local maximum and minimum values. (b)…

A: As per bartleby guidelines we only give first question answers.

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Q: e* +e* –x? - 2 Lim sin? x– x? 2

A: To solve the given limit of the function

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Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

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A: Let the edge length of the cube be 'a' units

Q: 18. lim x+oo 3 20. lim log,

A: Given function f(x)=log12 x we write    log10 x=  log x     and we know thhat    log10 10=1

Q: Evaluate the integral where D is the region bounded by y = x, y = 2, and r = 0. Hint: One order is…

A: We will solve this question by changing the order of Integration.

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 -5 + 2e-* f(x)…

A: The objective is to evaluate the limit.

Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: 1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: 2x² + 1 Find the lim, f(x) where f(x) : if xs -5 x – 3x-2 if x > -5 x-5* -122/25 O -72/25 O -80 None…

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Q: 2t2 + 38 sinh 16t

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Q: e length and breadth of the floor of a room are 30 ft. and 20 ft. pectively. Square tiles of 2 ft.…

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Q: xdx + ydy = (x+ x¯ +y° )dx

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Q: 4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The…

A: Let's find.

Q: Use loganithmic differentiation to evaluate f'(x). 10 (x+2)" f(x) = (4x- 16)" %3D 11

A: Given problem:- f(x) = (x+2)10/(4x-16)11 To find:- Use logarithmic differentiation to evaluate…

Q: t? +4r+10 dt 7² + 2r² + 5t

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

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations hat are…

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Q: 5. * 1 dx x (In x)3 A 1 + C 2 (In x)² C 1 + C 3 (In x)² 1 + C 2 (In x)2 1 + C 3 (Inx) - - O A O B O…

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve²"+x(2v-1)

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Q: Find Ay and f'(x)Ax for y = f(x) = 2x – 1, x= 3, and Ax = 3. Ay = (Round to four decimal places as…

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Q: Determine whether the integral is convergent or divergent. 22 Ap 4y – 1 convergent divergent If it…

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Q: In xdx

A: Formula:Integration by parts:∫ uv dx =u∫v dx -∫ dudx∫vdxdxI=∫ x5 ln x dxu=ln x, dudx=1xv=x5I=ln x ∫…

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Q: Arectangular bin 4 feet long. 3 feet wide, and 2 feet high is solidly packed with bricks whose…

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Q: Evaluate using Linear Equations. v(dv/dv)=6ve"+x(2v-1) O xv-(3v²+C)elt O None of the choices O…

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Q: Select from multiple choice and fill in the blanks

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Q: Find the dot product of Á = and B =. Find the scalar product of P = 10î – 4ĵ + 7k and Q = -2î – ĵ+…

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 1. y sinx – xy² = c -

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Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: Sx² et* dx 1 e x (8x2 - 4x + 1) + C 16 (8x2 + 4x- 1) + C e4x 16 e4x 32 (8x2-4x + 1) + C e* (8x2 + 4x…

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: Which of the following trigonometric expressions is NOT equivalent to 1? * csc? 0 – cot² 0 cos? 0 +…

A: To determine which of the given trigonometric expressions are not equal to one.

Q: ( cos³x dx sin*x 9.

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Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

A: To solve the following differential equation

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Five equations are written below. Fill in the missing expression for each equation - - a" In a. (*)'…

A: The given are missing with derivative formulas, we have to find it.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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