Let f be a function of multiplicity 5 at P. Then at P, µ(x) = f(x) has multiplicity: f(x)' %3D Select one: a. 2 b. 1 С. 4 O d. 5

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: The temperature of points on a plate x2 + xy + y? <1 is modeled by the function f(x, y) = 25(x² +…

A: Given: The temperature of point on a plate x2+xy+y2≤1 is model by the function is : f(x, y)=25 x2+y2…

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

A:

Q: Graph the function f(t) = (/t, 2t +1) by eliminating the parameter.

A:

Q: For the function f(x,y) = xexy, find fx and 1 fy. fx= 0

A:

Q: Find, if they exist, the extrema of the function: f(x, y) = x² + 3y? + 4,

A:

Q: If ƒ (2) = 2.5 and f'(2) = −2.5, then ƒ(2.5) is approximately: OA. -2 OB. 1.25 OC. 2 OD. 2.5 O…

A:

Q: Q1: Find A: fxx fyy and fxy for the following functions f(x,y)= In(tan-¹xy)

A: Let us consider the given function z=f(x,y) The first order partial derivative are ∂f∂x,∂f∂y The…

Q: Find the absolute extrema (max and min) of the function f(x) = ex 2−4 on [ -1,2]

A:

Q: : For u = -2xy + x, check the function for Harmonic and then find f(z).

A:

Q: Consider the function z = ƒ(x, y) = 9x3 - 8x2y + 4y3.;Find dz.

A: Consider the given function, z=fx,y=9x3-8x2y+4y3 The formula of the total derivative dz is,…

Q: Find all finchons Man sanisty he Mowing inihal problim dy %3D dy dx =4 ex ーメ how mam solwhin does t…

A: Given,           dydx=y2e-x    and y(0) = 12

Q: For the given function P = xyz – 2y²+ x²z² find the div grad 9 at point (8,5,4).

A:

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Find the range of the function when defined on the specific domain D. X f(x,y) = , D%3D (х,y) :…

A: Please refer the attached image for complete solution. THANK YOU.

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

A:

Q: Let f be a function of multiplicity 5 at P. Then at P, µ(x) f(x) has multiplicity: f(x)'

A:

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: A metal sphere is heated so that t seconds after the heat has been applied, the radius r(t) is given…

A: Given, a metal sphere is heated so that t seconds after the heat has been applied, the radius r(t)…

Q: Find the domain and range of the functions: 2) f(x) = /4 – Vx

A: f(x)=4-x

Q: 1. Let f (x, y) = 3+ /1+x – y² a. Find f(0,0) b. Find the range of f. c. Find and sketch the domain…

A:

Q: In the following function, let U and R be a variable and V be a constant. Find R'(U). v²R U = - R+V

A: Given: U=V2RR+V Now,            U=V2RR+V⇒UR+V=RV2⇒RU-V2=-VU⇒R=-VUU-V2;   U-V2≠ 0

Q: A spherical drop of water in air evaporates with a speed proportional to its surface area. If R is…

A:

Q: Find dy for the following functions: - dx 6 1) у - 2 y = * 1 1 Vz² 8x4 2x8

A: 1) y = xn     dydx = nxn-1 2) y = 1x      dydx =-1x2 3) y = z     (a) if z is constant…

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: