Re-arrange the equation as a function of c only.

Q: Optimize the function f(x,y) = x^2+y^2 given the condition of x=y^2-5.

A: Answers are following in explanation step.Explanation:

Q: Show that the functions y1= e^t,  y2 = e^-t, and te^-t are linearly independent.

A:

Q: The height of an adult can be predicted from their height as a child. If a child is i inches tall at…

A: Any values for i and w can be substituted in the function, H(i,w) = 150 iw to calculate the value of…

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

A:

Q: Fill in the appropriate blanks for the derivatives of the given functions, then evaluate each…

A:

Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

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

Q: 3) A researcher has collected population data along with time. Afler comparing the populations from…

A: Solution is given below

Q: how is v^t calculated

A: In the calculation of actuarial present value of a pension that pays $50,000 per year as long as at…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: