# Get college calculus homework help Recent questions in Calculus and Analysis
Integrals

### When a particle is a distance r from the origin, its potential energy function is given by the equation U(r)=kr, where k is a constant and $$r=x^2+y^2+z^2$$ (a) What are the SI units of k? (b) Find a mathematical expression in terms of x, y, and z for the y component of the force on the particle.   (c) If U=3.00 J when the particle is 2.00 m from the origin, find the numerical value of the y component of the force on this particle when it is at the point (-1.00 m, 2.00 m, 3.00 m).

Analysis ### For a marketing analysis,you want to ZSK 125 people how they like the colours red,green and blue.After your questions,your questions,you discover that. 55 people like red. 60 people like blue. 50 people like green.

Derivatives
ANSWERED ### If $$\displaystyle{y}{\left({x}\right)}={\sin{{u}}}$$, then y' is Option 1:$$\displaystyle-{\frac{{{d}{u}}}{{{\left.{d}{x}\right.}}}}{\cos{{u}}}$$ Option 2:$$\displaystyle{\frac{{{d}{u}}}{{{\left.{d}{x}\right.}}}}{\cos{{u}}}$$ Option 3:$$\displaystyle{\cos{{u}}}$$ Option 4:$$\displaystyle-{\cos{{u}}}$$

Derivatives
ANSWERED ### Solve the given differential equation. $$\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\frac{{{y}}}{{{x}}}}$$

Derivatives
ANSWERED ### Find the derivative using the appropriate rule or combination of rules. $$\displaystyle{y}={\left({4}{t}+{9}\right)}^{{{\frac{{{1}}}{{{2}}}}}}$$

Analysis Derivatives

### Verify that the hypotheses of Rolle’s Theorem are satisfied for f(x) = $$1\over6$$x - $$\sqrt {x}$$ on the interval [0,36], and find the value of c in this interval that satisfies the conclusion of the theorem.

Derivatives
ANSWERED ### Second derivatives Find $$\displaystyle{\frac{{{d}^{{{2}}}{y}}}{{{\left.{d}{x}\right.}^{{{2}}}}}}$$ $$\displaystyle{x}+{y}={\sin{{y}}}$$

Derivatives
ANSWERED ### Find the derivatives $$\displaystyle{y}={\left({1}-{4}{x}+{7}{x}^{{{5}}}\right)}^{{{30}}}$$

Derivatives
ANSWERED ### Find derivatives of $$\displaystyle{r}={\frac{{{12}}}{{{0}}}}-{\frac{{{4}}}{{{0}^{{{3}}}}}}+{\frac{{{1}}}{{{0}^{{{4}}}}}}$$

Derivatives
ANSWERED ### Solve the derivatives. $$\displaystyle{v}={\left({z}^{{{4}}}-{2}{z}+{1}\right)}^{{{\frac{{{3}}}{{{2}}}}}}$$

Analysis
ANSWERED ### The Orient Express train travels from London,England to Venice, Italy.A ticket for the trip costs 3 thousand GBP(Great British pounds). Based on the current exchange rate of 1 U.S. dollar=0.82GBP, what is the cost in U.S. dollar? Round to the nearest whole dollar. Show your calculations,including at least one use of dimensional analysis.

Analysis
ANSWERED ### Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on $$\displaystyle{36}\%$$ of her sales calls. Viewing her sales calls for one month asa sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.08. (a) How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month? (c) Using the sampling distribution of P, compute the probability that Lori will obtain book adoptions on 46% or more of her sales calls during a one-month period. (Round your answer to four decimal places.)

Analysis
ANSWERED ### MacDonald Products, Inc., of Clarkson, New York, has the option of (a) proceeding immediately with production of a new top-of-the-line stereo TV that has just completed prototype testing or (b) having the value analysis team complete a study. If Ed Lusk, VP for operations, proceeds with the existing prototype (option a), the firm can expect sales to be 100,000 units at $550 each, with a probability of 6, and a.4 probability of 75,000 at$550. If, however, he uses the value analysis team (option b), the firm expects sales of 75,000 units at $750, with a probability of .7, and a.3 probability of 70,000 units at$750. Value analysis, at a cost of \$100,000, is only used in option b. Which option has the highest expected monetary value (EMV)?

Derivatives
ANSWERED ### Find the indicated derivatives. $$\displaystyle{\frac{{{\left.{d}{z}\right.}}}{{{d}{w}}}}\ {\quad\text{if}\quad}\ {z}={\frac{{{1}}}{{\sqrt{{{w}^{{{2}}}-{1}}}}}}$$

Analysis
ANSWERED ### Engineering statistics, i need solutions in 15 minutes please. MCQ/Engineering company has a task of checking compressive strength for 100 concrete cubes. The results revealed that 85 cubes passed the compressive strength test successfully and 15 cubes failed in the test. If 10 cubes are selected at random to be inspected by the company, determine the probability that the 8 cubes will pass the test and 2 cubes will fail in the test by using the Combinatorial Analysis. A-0.6553 B-0.2919 C-0.3415 D-0.4522 E-0.1156

Derivatives
ANSWERED ### Compute the derivatives indicated. $$\displaystyle{f{{\left({x},{y}\right)}}}={3}{x}^{{{2}}}{y}-{6}{x}{y}^{{{4}}},{\frac{{\partial^{{{2}}}{f}}}{{\partial{x}^{{{2}}}}}}\ {\quad\text{and}\quad}\ {\frac{{\partial^{{{2}}}{f}}}{{\partial{y}^{{{2}}}}}}$$

Derivatives
ANSWERED ### Find the indicated derivatives. $$\displaystyle{\frac{{{d}}}{{{d}{u}}}}{\left({8}{u}^{{{\frac{{{3}}}{{{4}}}}}}+{4}{u}^{{-{\frac{{{1}}}{{{4}}}}}}\right)}$$

Derivatives
ANSWERED ### Use the rules for derivatives to find the derivatives below. $$\displaystyle{y}=\sqrt{{{x}}}-{x}^{{{2}}}$$; use the Power Rule
ANSWERED 