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: Which point is located 6 units from the point (-3,-2) on coordinate grid ?

A:

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: 5. Find the symmetric equations of the line passing through A (-1,-8, 1) and B(-1,-4,3).

A: The symmetric equation of a line passing through the points

Q: y = 3y tan x+2 %3D

A:

Q: What is the equation of Reciprocal Rule?

A: Suppose that f(x) is differentiable at x and fx≠0.

Q: Write an equation of the line through (1,2) and (5, 0).

A: To find the equation of the line through two points (1,2) and (5,0). Solution: We know that equation…

Q: Plot the point (3,4) and (3,-10)

A: 1 Box=1unit on horizontal X-axis 1 Box=1unit on horizontal Y-axis

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: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

A:

Q: How primary consideration decides whether an independent variable belongs in an equation or not?

A: If the variable is important to the regression model on the basis of theory, then the variable…

Q: how were you able to get the y values of 3, 0 and 6 by substituting the x values from equation 1…

A:

Q: 3x- 2x°+1 +5x³ +8x° -10

A: let p(x)=3x3-2x2+1+5x3+8x2-10

Q: Can you make your diagram more clearer

A: This diagram shows normal distribution :  Empirical rule says :  68.2% data lie within 1 standard…

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.