# Get help with multivariable calculus equations

Recent questions in Multivariable calculus
geduiwelh 2020-12-02

### Green’s Theorem, flux form Consider the following regions R and vector fields F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green’s Theorem and check for consistency. $F=⟨x,y⟩,R=\left\{\left(x,y\right):{x}^{2}+{y}^{2}\le 4\right\}$

pancha3 2020-12-02

### Evaluate the line integral ${\oint }_{C}xydx+{x}^{2}dy$, where C is the path going counterclockwise around the boundary of the rectangle with corners (0,0),(2,0),(2,3), and (0,3). You can evaluate directly or use Greens

Harlen Pritchard 2020-11-27

cistG 2020-11-23

### Write formulas for the indicated partial derivatives for the multivariable function. $k\left(a,b\right)=3a{b}^{4}+8\left({1.4}^{b}\right)$ a) $\frac{\partial k}{\partial a}$ b) $\frac{\partial k}{\partial b}$ c) $\frac{\partial k}{\partial b}{\mid }_{a=3}$

coexpennan 2020-11-20

### Consider this multivariable function. $f\left(x,y\right)=y{e}^{3x}+{y}^{2}$ a) Find ${f}_{y}\left(x,y\right)$ b) What is value of ${f}_{×}\left(0,3\right)$?

Jaya Legge 2020-11-08

### Use Green's Theorem to find ${\int }_{C}\stackrel{\to }{F}\cdot d\stackrel{\to }{r}$ where $\stackrel{\to }{F}=⟨{y}^{3},-{x}^{3}⟩$ and C is the circle ${x}^{2}+{y}^{2}=3$.

djeljenike 2020-11-08

### Divergence Theorem for more general regions Use the Divergence Theorem to compute the net outward flux of the following vector fields across the boundary of the given regions D. $F=⟨z-x,x-y,2y-z⟩$, D is the region between the spheres of radius 2 and 4 centered at the origin.

illusiia 2020-11-02

### Suppose that the plane region D, its boundary curve C, and the functions P and Q satisfy the hypothesis of Greens

Rivka Thorpe 2020-11-02

Kye 2020-11-01

### use Green’s Theorem to find the counterclockwise circulation and outward flux for the field F and the curve C. $F=\left({y}^{2}-{x}^{2}\right)i+\left({x}^{2}+{y}^{2}\right)j$ C: The triangle bounded by y = 0, x = 3, and y = x

glamrockqueen7 2020-10-28

### What tis the complete domain D and range R of the following multivariable functions: $w\left(x,y\right)=\sqrt{y-4{x}^{2}}$

tricotasu 2020-10-28

### Use Stokes' theorem to evaluate the line integral ${\oint }_{C}F\cdot dr$ where A = -yi + xj and C is the boundary of the ellipse $\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}=1,z=0$.

sibuzwaW 2020-10-27

### Relative extrema of multivariables: $f\left(x,y\right)=\frac{xy}{7}$ find critical points and relative extrema, given an open region.

Jaya Legge 2020-10-27

### Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The work required to move an object around a closed curve C in the presence of a vector force field is the circulation of the force field on the curve. b. If a vector field has zero divergence throughout a region (on which the conditions of Green’s Theorem are met), then the circulation on the boundary of that region is zero. c. If the two-dimensional curl of a vector field is positive throughout a region (on which the conditions of Green’s Theorem are met), then the circulation on the boundary of that region is positive (assuming counterclockwise orientation).

Mylo O'Moore 2020-10-20

### Use Greens

Falak Kinney 2020-10-18

### Use Green's Theorems to evaluate ${\oint }_{C}xydx+{x}^{2}{y}^{3}dy$, where C is the triangle with vertices(0,0),(1,0)and (1,2).

Isa Trevino 2020-10-18

### What tis the complete domain D and range R of the following multivariable functions: $w\left(x,y\right)=\frac{1}{x\left(y-1\right)}$

As you start exploring calculus and analysis, you will encounter multivariable calculus equations that are self-explanatory as well because all of them will contain at least two questions related to each variable being involved. See our multivariable calculus examples to receive more help and information regarding how these are used. The answers to solving these multivariable calculus questions should be based on finding the deterministic behavior. These are used in engineering and those fields where the parametric equations solver will provide you an optimal control of time dynamic systems. As an interesting subject, applying at least one equation in practice will keep you inspired!