The range of a cosecant function is (-∞, -9][5,00). The equations of two consecutive asymptotes of the function are x = 0 and x = 27. The function is not a reflection over the x-axis. What is the equation of this cosecant function? Be sure to show the math if you find a new amplitudes, phase shift, period or midline

Q: Given the function f(x)=x²-2, completo parts a through c (a) Find an equation for roo (b) Graph fand…

A:

Q: Compute the line integral of the vector field F = (7y, −7x) over the circle x² + y² = 1 oriented…

A: Given: F=7y dx - 7x dyand Let  x= cos t,   y= sin t    ⇒   dx = -sin…

Q: Find a parameterization for the circle (x-6) + y² = 9 starting at the point (3,0) and moving…

A:

Q: Determine the interval(s) in [-7, 7] on which f(x) = 2sinx-x is decreasing. 1. -57) 2. [-7/16, 3. 2T…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A:

Q: 15 a Find the vector shown above

A:

Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's…

A: The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's…

Q: 136 SSSS 0 0 20 Evaluate the integral 5 cos (x²) 6√/Z -dx dy dz by changing the order of integration…

A:

Q: cos xdx sin³ 3 X S

A:

Q: Evaluate the limit sin 8x lim x 0 sin 2x

A:

Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: f(x,y)=5-4x+6y-3x2y∂ ∂x(xn)=nxn-1∂ ∂x(constnat)=0

Q: Prove: There exist functions f, g, h in F such that g o f = h o f, but g is not equal to h.

A: The objective is to prove there exist functions f, g, h in F such that g o f = h o f, but g is not…

Q: Given f(x, y) = 2x² + 6xy³ + 4y5, find the following numerical values: f(3, 3) = 4. f₂(3, 3) =

A:

Q: Find the derivative of the function. y = In(3x²-x) + 4x

A: y=ln3x2-x+4xd dx(lnx)=1xd dx(xn)=nxn-1

Q: Evaluate cos (8x) sin-2 (8x) dx. S cos ³ (8x) sin-2 (8x) dx =

A:

Q: A rectangular tank that is 2048 ft³ with a square base and open top is to be constructed of sheet…

A: The given data is: A rectangular tank that is 2048 ft3  Base is square Find the dimension of the…

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-5x (Use…

A: We draw the graph of the function and find the total area by integrating

Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

A:

Q: 2. Let y = 3x23 a) Find the change in y, Ay when x = 5 and Ax = 0.02. b) Find the differential dy…

A: Given function y = 3x2

Q: Consider the function f(x) = 12x5 +75x¹ - 120x³ +1. For this function there are four important…

A:

Q: The domain of the function h graphed below is all real numbers, and all of its extreme values occur…

A: Here three points (1,2) , (0,-2) and (-2,-1) where we can draw three tangents to the graph which are…

Q: Let z=f(x,y) = 15x² - 25xy +9y². Find the following using the formal definition of the partial…

A: The given function is: z=f(x,y)=15x2-25xy+9y2

Q: When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it comes to rest in the…

A:

Q: Find the vector equation of a line passing through (5,1,3) and perpendicular to the plane 3x - 2y +…

A:

Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

A:

Q: Find symmetric equations for the line through the points (2,5,5) and (-6,3,1).

A: To find the symmetric equations for the line through the points  2, 5, 5 and -6, 3, 1.

Q: Ifis decreasing and its graph is concave pon (0, 1), which of the following could be graph of the…

A: If f is decreasing and its graph is concave up on (0, 1). Wich of the following is the graph of f'…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= -7x² -…

A: Given function:- fx,y=-7x2-6xy-5y2-140x-112y+2

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. √84 What is the value…

A:

Q: Find the scalar equation of the plane containing the line: l1: [x, y, z] 1₂: [x, y, z] - [2, 6, -1]+…

A:

Q: determine whether a system of two linear equations with (0,0) and (2,2) as solutions

A: The objective is to solve the above question.

Q: Using the equation y= x^3/ x^2 - 4  Determination of the second derivative of the function…

A:

Q: Find the derivative of the function. y ✓ = In (3x²-x) + 4x

A:

Q: 11. Find the differential equation of the family of lines passing through the origin 12. Solve the…

A:

Q: Sketch-the-graphs.y = x² + 1, y = -x² + 2x + 51

A: we need to sketch the graphs of the function.

Q: B. Consider the following equation (x-3)² 5(x + 1)²(x-2) f(x)=₁ 1. The rational function above has a…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: b) Determine the intervals on which fis increasing or decreasing. Then find the local maximum and…

A:

Q: Let a = . Find al. − −

A:

Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: Let f(x) = 4x² - 2x4. Find the open intervals on which f is increasing (decreasing). Then determine…

A:

Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

A:

Q: Find dy/dx at the given point without first solving for y. xy2 125 at (5, 5) d 11

A: The given equation is: xy2=125 Use the Power rule: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: 3. Find all points (x, y) for which the tangent plane to the graph of z=x² - 6x+2y² −10y+2xy is…

A:

Q: Suppose the number of phone subscribers between 1995 and 2006 can be modeled by S9x) = 18.33x +…

A: We need to find year when subscribers were 244,340,000.

Q: h(x)=5.5x-3.42

A: We have given a polynomial  hx=5.5x-3.42 Leading term =5.5x

Q: Given u = 2 – 8j and d =−8+3j, find | + ả| and || + ả Give EXACT answers. You do NOT have to…

A:

Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: We use the differentiation method to find the required ratio