 # Get help with multivariable calculus equations

Recent questions in Multivariable calculus Nicontio1 2022-01-07 Answered

### Prove multivariable function is surjective The function is $f:{\mathbb{N}}^{2}\to \mathbb{N}$ such that $f\left(a,b\right)={a}^{b}$ hvacwk 2022-01-07 Answered

### multivariable functions works when the partial derivatives are continous but if the function is just differentiable does the chain rule work ? I mean if $z=f\left(x,y\right)$ is differentiable function and $x=g\left(t\right),y=h\left(t\right)$ are also differentiable functions can we write: $\frac{dz}{dt}=\frac{\partial f}{\partial x}×\frac{dx}{dt}+\frac{\partial f}{\partial y}×\frac{dy}{dt}$ obrozenecy6 2022-01-07 Answered

### I have the multivariable function $\mathrm{log}\left({y}^{2}+4{x}^{2}-4\right)$ and I have found the maximal domain to be ${x}^{2}+\frac{{y}^{2}}{4}>1$ Sam Longoria 2022-01-06 Answered

### let x be a differentiable function $x:\left[a,b\right]\to R$ which satisfies:$\frac{dx\left(t\right)}{dt}=f\left(t,x\left(t\right)\right)$$x\left(a\right)={x}_{a}$In particular I am trying to understand what $f\left(t,x\left(t\right)\right)$ means, I understand this represents a multivariable function with parameters $t$ and $x\left(t\right)$, but I can't think of what this would mean in the given context? Walter Clyburn 2022-01-05 Answered

### Differentiation of multivariable function proof$\frac{d}{dx}{\int }_{v\left(x\right)}^{u\left(x\right)}f\left(t,x\right)dt={u}^{\prime }\left(x\right)f\left(u\left(x\right),x\right)-{v}^{\prime }\left(x\right)f\left(v\left(x\right),x\right)+{\int }_{v\left(x\right)}^{u\left(x\right)}\frac{\partial }{\partial x}f\left(t,x\right)dt$ Kathleen Rausch 2022-01-05 Answered

### Is it possible to graph out a multivariable function (3 variables at max) on a graphing calculator? If yes, how? garnentas3m 2022-01-04 Answered

### Sketch the level curves for $f\left(x,y\right)={x}^{2}-y$ together with the gradient $\mathrm{\nabla }f$ at a few typical points. Write an equation for the tangent line of the level curve $f\left(x,y\right)=1$ at the point $\left(\sqrt{2},1\right)$. Stefan Hendricks 2022-01-04 Answered

### Derivative of a multivariable function evaluate the derivative of a function $\mathbb{R}\to \mathbb{R}$ defined as $g\left(t\right)=f\left(x+t\left(y-x\right)\right)$ where $f:{\mathbb{R}}^{n}\to \mathbb{R}$ is a multivariable function and $x,y\in {\mathbb{R}}^{n}$. Prove that $g\prime \left(t\right)={\left(y-x\right)}^{T}\mathrm{\nabla }f\left(x+t\left(y-x\right)\right)$ Donald Johnson 2022-01-04 Answered

### First of all, I'm new to multivariable calculus... in a multivariable function, by assuming that its domain is going to be ${R}^{2}$ and its image is going to be all real numbers, the graph of that function is defined as a subset of ${R}^{3}$ in which the x and y axis are going to receive the inputs, and the output is going to be in $z\left(x,y,f\left(x,y\right)\right)$ ? Is that correct? Will its graph, in this example, be some kind of surface? pierdoodsu 2022-01-04 Answered

### How do you define iterations of multivariable functions? To be clear(example): If $f:{\mathbb{R}}^{2}\to \mathbb{R}$ How do you define $f\circ f,\text{or}f\circ \dots \circ f?$? Teddy Dillard 2022-01-04 Answered

### How to find expressions for ${f}_{xx}$ and ${f}_{yy}$ for the multivariable function $f\left(x,y\right)=\mathrm{ln}\left({x}^{2}y\right)+{y}^{3}{x}^{2}$? David Lewis 2021-12-17 Answered

### A camera shop stocks eight different types of batteries, one of which is type A7b.Assume there are at least 30 batteries. of each type.a. How many ways can a total inventory of 30 batteries be distributed among the eight different types? b. How many way can a total inventory of 30 batteries be distributed among the eight different types of the inventory must include at least four A76 batteries?c. How many ways can a total inventory of 30 batteries be distributed among the eight different types of the inventory includes at most three A7b batteries Sho 2021-12-13 Answered

### Consider the following statement of masses, If both masses start from rest, A) find a1?   B) find a2 ?   C) How fast is m1 moving after sliding the 2.00 m shown? *Assume both masses are simultaneously released from the rest*  Nicontio1 2021-12-11 Answered

### Answer the following questions about an ANOVA analysis involving three samples. a. In this ANOVA analysis, what are we trying to determine about the three populations they’re taken from? b. State the null and alternate hypotheses for a three-sample ANOVA analysis. c. What sample statistics must be known to conduct an ANOVA analysis? d. In an ANOVA test, what does an F test statistic lower than its critical value tell us about the three populations we’re examining? Madeline Lott 2021-12-10 Answered

### INVESTMENT ANALYSIS Paul Hunt is considering two business ventures. The anticipated returns (in thousands of dollars) of each venture are described by the following probability distributions: a. Compute the mean and variance for each venture. b. Which investment would provide Paul with the higher expected return (the greater mean)? c. In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)? lunnatican4 2021-12-09 Answered

### For each of the following test, outline a research scenario and use any hypothetical data to show how the test is conducted i. Analysis of variance ii. Chi-square for goodness-of-fit test iii. Chi-square test for independence kuvitia9f 2021-12-08 Answered

### On the final examination in Engineering Data Analysis, the mean was 72 and the standard deviation was 15. a. Determine the standard scores (z-values) of students receiving the grade of 65. b. Determine the standard scores (z-values) of students receiving the grade of 85 c. Determine the probability that a student will score greater than 75. d. Determine the probability that a student will score lower than 65. e. Find the grade corresponding to a standard score of 1. Shelia Lawrence 2021-12-08 Answered

### A geologist has collected 15 specimens of basaltic rock and 15 specimens of granite. The geologist instructs a laboratory assistant to randomly select 25 of specimens for analysis. a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places.) $\begin{array}{|ccccccc|}\hline x& & & & & & \\ p\left(x\right)& & & & & & \\ \hline\end{array}$ b) What is the probability that all specimens of the two types of rock are selected for analysis? (Round your answer to four decimal places.) c) What is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (Round your answer to four decimal places.) rastafarral6 2021-12-02 Answered

### ${\int }_{1}^{0}\mathrm{tan}\left({x}^{2}\right)dx+2{\int }_{1}^{0}{x}^{2}{\mathrm{sec}}^{2}\left({x}^{2}\right)dx=\frac{\pi }{4}$ Select one: True False philosphy111of 2021-11-26 Answered

### Solve the polynomial inequality ${x}^{2}-2x+1>0$ and graph the solution set on a real number line. Express the solution set in interval notation.

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!