Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 2, Problem 57RE
To determine
The length of the ramp when the ramp rises 0.48 m over horizontal distance of 7.8 m.
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2. Suppose a LC circuit has the following differential equation:
q'+4q=6etcos 4t, q(0) = 1
a. Find the function for q(t), use any method that we have studied in the course.
b. What is the transient and the steady-state of the circuit?
5. Use variation of parameters to find the general solution to the differential equation:
y" - 6y' + 9y=e3x Inx
Let the region R be the area enclosed by the function f(x) = ln (x) + 2 and g(x) = x. Write an integral in terms of x and also an
integral in terms of y that would represent the area of the region R. If necessary, round limit values to the nearest thousandth.
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- Cape Fear Community Colle X ALEKS ALEKS - Dorothy Smith - Sec X www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-IQ1w4xc5zw7yX8A9Q43nt5P1XWJWARE... Section 7.1,7.2,7.3 HW 三 Question 21 of 28 (1 point) | Question Attempt: 5 of Unlimited The proportion of phones that have more than 47 apps is 0.8783 Part: 1 / 2 Part 2 of 2 (b) Find the 70th The 70th percentile of the number of apps. Round the answer to two decimal places. percentile of the number of apps is Try again Skip Part Recheck Save 2025 Mcarrow_forwardHi, I need to sort out where I went wrong. So, please us the data attached and run four separate regressions, each using the Recruiters rating as the dependent variable and GMAT, Accept Rate, Salary, and Enrollment, respectively, as a single independent variable. Interpret this equation. Round your answers to four decimal places, if necessary. If your answer is negative number, enter "minus" sign. Equation for GMAT: Ŷ = _______ + _______ GMAT Equation for Accept Rate: Ŷ = _______ + _______ Accept Rate Equation for Salary: Ŷ = _______ + _______ Salary Equation for Enrollment: Ŷ = _______ + _______ Enrollmentarrow_forward५ (x² + 2x-y³) (16 x + 15) dy (x+2+y2) (x+2)3 =arrow_forward
- (28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forwardQuestion 21 of 28 (1 point) | Question Attempt: 5 of Unlimited Dorothy ✔ ✓ 12 ✓ 13 ✓ 14 ✓ 15 ✓ 16 ✓ 17 ✓ 18 ✓ 19 ✓ 20 = 21 22 > How many apps? According to a website, the mean number of apps on a smartphone in the United States is 82. Assume the number of apps is normally distributed with mean 82 and standard deviation 30. Part 1 of 2 (a) What proportion of phones have more than 47 apps? Round the answer to four decimal places. The proportion of phones that have more than 47 apps is 0.8783 Part: 1/2 Try again kip Part ی E Recheck == == @ W D 80 F3 151 E R C レ Q FA 975 % T B F5 10 の 000 园 Save For Later Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility Y V& U H J N * 8 M I K O V F10 P = F11 F12 . darrow_forward(14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of ze(+2) sitting over the unit disk. = (a) (4 points) What is the boundary OS? Explain briefly. (b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.arrow_forward
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- (28 points) Define T: [0,1] × [−,0] → R3 by T(y, 0) = (cos 0, y, sin 0). Let S be the half-cylinder surface traced out by T. (a) (4 points) Calculate the normal field for S determined by T.arrow_forwardDungeons and Dragons: Part A A 20-sided die is often used in tabletop role-playing games like Dungeons and Dragons. During the game players may face something called a "skill check" where they must roll a 20-sided die and get a result equal to or above a given value. For example, a player may be required to roll a 15 or above in order to succeed and pass the skill check. Rolling a 14 or lower would be a failure. If the player rolls the die 10 times in a row, what is the expected number of rolls that would pass the skill check by rolling as a 15 or higher? For the previous calculations, what is the standard deviation for the number of times the die would be rolled 15 or above During a game of Dungeons and Dragons, the previously-mentioned player rolls the 20-sided die 30 times in total. What is the probablity that they successfully roll a 15 or higher exactly 7 times during that game? Express your final answer as a percentage to 2 decimal places.arrow_forwardQ3. The distribution for the working lifetime of light bulbs, manufactured in a company, is found to be normally distributed with a mean of 1450 hours and a standard deviation of 60 hours. a) In this distribution, find the life time of a lightbulb whose z-score is -1.8? b) Which percentage of lightbulbs have life time less than 1400 hours? c) Which percentage of lightbulbs have life time greater than 1500 hours? d) Which percentage of lightbulbs have life time between 1420 to 1500 hours?arrow_forward
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