Expert Assistance in Solving College-level Math Problems

College

Evaluate the integral
$\int_{- 2}^{2} \frac{d p}{\sqrt{4 - p^{2}}}$

usagirl007A 2020-12-28

$x \frac{d y}{d x} = u y$

usagirl007A 2020-12-28

Systems of inequalities graph the solutions set of the system if inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded. ${\begin{cases} x + y \leq 4 \\ y \geq x \end{cases}$

boitshupoO 2020-12-28

How are triple integrals defined in cylindrical and spherical coor-dinates? Why might one prefer working in one of these coordinate systems to working in rectangular coordinates?

naivlingr 2020-12-28

Is statistical inference intuitive to babies? In other words, are babies able to generalize from sample to population? In this study,1 8-month-old infants watched someone draw a sample of five balls from an opaque box. Each sample consisted of four balls of one color (red or white) and one ball of the other color. After observing the sample, the side of the box was lifted so the infants could see all of the balls inside (the population). Some boxes had an “expected” population, with balls in the same color proportions as the sample, while other boxes had an “unexpected” population, with balls in the opposite color proportion from the sample. Babies looked at the unexpected populations for an average of 9.9 seconds ($sd = 4.5$ seconds) and the expected populations for an average of 7.5 seconds ($sd = 4.2$ seconds). The sample size in each group was 20, and you may assume the data in each group are reasonably normally distributed. Is this convincing evidence that babies look longer at the unexpected population, suggesting that they make inferences about the population from the sample? Let group 1 and group 2 be the time spent looking at the unexpected and expected populations, respectively. A) Calculate the relevant sample statistic. Enter the exact answer. Sample statistic: _

B) Calculate the t-statistic. Round your answer to two decimal places. t-statistic = _

C) Find the p-value. Round your answer to three decimal places. p-value =____

Chardonnay Felix 2020-12-28

The table shows the population of various cities, in thousands, and the average walking speed, in feet per second, of a person living in the city. $\begin{array}{cc} P o p u l a t i o n (t h o u s a n d s) & W a l k i n g S p e e d (f e e t p e r s e c o n d) \\ 5.5 & 0.6 \\ 14 & 1.0 \\ 71 & 1.6 \\ 138 & 1.9 \\ 342 & 2.2 \end{array}$

Khaleesi Herbert 2020-12-28

Use the table of integrals at the back of the text to evaluate the integrals $\int 8 \sin (4 t) \sin (\frac{t}{2}) d t$

ruigE 2020-12-28

Evaluate the following definite integral.
$\int_{1}^{e} \ln 2 x d x$

Burhan Hopper 2020-12-28

Assume that T is a linear transformation. Find the standard matrix of T.
$T = R^{2} \to R^{4} s u c h t h a t T (e_{1}) = (7, 1, 7, 1),$ .

$and T (e_{2}) = (- 8, 5, 0, 0), w h e r e e_{1} = (1, 0),$

$and e_{2} = (0, 1)$

sodni3 2020-12-28

Find the present value of$5436.22 due in four years and three months at 4% compounded annually.
a:$4601.56
b:$4592.55
c:$4646.90
d:$6422.27

illusiia 2020-12-28

Find the curvature K of the curve at the point $r (t) = e^{t} \cos t \cdot i + e^{t} \sin t \cdot j + e^{t} k, P (1, 0, 1)$

Khadija Wells 2020-12-28

Write the vector form of the general solution of the given system of linear equations.
$x_{1} + 2 x_{2} - x_{3} = 0$
$x_{1} + x_{2} + x_{3} = 0$
$x_{1} + 3 x_{2} - 3 x_{3} = 0$

Tobias Ali 2020-12-28

use properties of the Laplace transform and the table of Laplace transforms to determine L[f]
$f (t) = 2 + 2 (e^{- t} - 1) u_{1} (t)$

Khaleesi Herbert 2020-12-27

The scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by $\hat{y} = - 4815 + 3.765 x .$ A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: $(2003, 2736), (2004, 2715), (2007, 2675), (2009, 2719), (2013, 270)$ . All coordinates are approximate. Interpret the y-intercept of the least squares regression line. Is it feasible? Select the correct answer below: The y-intercept is −4815, which is not feasible because a product cannot have a negative cost. The y-intercept is 3.765, which is not feasible because an expensive product such as a designer jacket cannot have such a low cost. The y-intercept is −4815, which is feasible because it is the value from the regression equation. The y-intercept is 3.765 which is feasible because a product must have a positive cost.

texelaare 2020-12-27

Advanced Math
If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease?

Isa Trevino 2020-12-27

Obtain the Laplace Transform of
$L {e^{- 2 x} + 4 e^{- 3 x}}$

Elleanor Mckenzie 2020-12-27

Let f(t) be a function on $[0, \infty)$ . The Laplace transform of fis the function F defined by the integral $F (s) = \int_{0}^{\infty} e^{- s t} f (t) d t$ . Use this definition to determine the Laplace transform of the following function.
$f (t) = {\begin{matrix} 1 - t & 0 < t < 1 \\ 0 & 1 < t \end{matrix}$

pedzenekO 2020-12-27

Find inverse Laplace transform $L^{- 1} {\frac{s - 5}{s^{2} + 5 s - 24}}$ Please provide supporting details for your answer

hexacordoK 2020-12-27

Use Principle of MI to verify
(i) If $n \in Z$ is a positive ineger then $2^{n} 3^{x n} - 1$ divisible by 17.
(ii) For all positive integers $n \geq 5$ ,
$2^{k} > k^{2}$

CheemnCatelvew 2020-12-27

Consider the next 1000 98% Cis for mu that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of $μ ?$
What is the probability that between 970 and 990 of these intervals conta the corresponding value of Y =the number among the 1000 intervals that contain What kind of random variable is Y) (Use the normal approximation to the binomial distribution)

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College

College Math Questions: Expert Solutions & Tips