A spherical balloon has been poked with a needle and air is seeping out at a rate of 2cm³ /hr. Find the rate at which the radius of the balloon is decreasing when the radius is 9cm.

Q: What are the coordinates used to evaluate the following problem and how are they found?

A: Given that D is a region that lies below the sphere and above a cone.

Q: Explain what it means for a coordinate system to be right-handed and what it means for a coordinate…

A: A coordinate system is an imaginary set of axes where location of point is specified. We can locate…

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Write the equation of a linear model through the points (600,19) and (2000,5)?

A: The given points are (600,19) and (2000,5). It is known that, the equation of the line passes…

Q: 2) Find the Cartesian coordinates of the following : Зл. -), (5,7) ,(10,5) , (3.5) , (-2, 5) , (4.-)…

A:

Q: What is the meaning of each variable on the equation "y=ax+b". Please provide a neat explanation…

A: Given equation is y = ax + b  This is a linear function of x, where x is an independent variable.…

Q: 4. Write an equation for line l if line I passes through points (3,3) and (4,-1)

A: Formula for the equation of line is given as

Q: ketch the surface

A:

Q: Find the equation for the horizontal line passing through the point (15, 9)

A: If y always equals 9 then the x value will change but then y value will not. This means that the…

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: What are the coordinates?

A: To answer the above question, suppose that the horizontal bold line represents the x-axis and the…

Q: Y4 -x + 2y = -6 %3D 3x + 2y = 2

A:

Q: A child is walking to school in winter. The sidewalk is S = 300 feet long and then turns at a right…

A:

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: The y coordinate of (-2, 4) is what?

A: Given, -2,4 To find the y - coordinate of the point.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.