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Vectors and have scalar product and their vector
product has magnitude . What is the angle between these two vectors?
product has magnitude . What is the angle between these two vectors?
Find the area bounded by a² y²= a² x² − x ⁴
The admission fee at an amusement park is $ 1.50 for children and $ 4.00 for adults. On a certain day, 299 people entered the park, and the admission fees collected totaled $936 . How many children and how many adults were admitted?
Determine the values of a and b for which the function
f(x)={ (sin3x+a sin2x +b sinx) / x^5 , x≠0 ; 1, x=0
is continuous at x=0
f(x)={ (sin3x+a sin2x +b sinx) / x^5 , x≠0 ; 1, x=0
is continuous at x=0
Evaluate ∫∫∫z2dx dydz
S
,where S is the solid region between the spheres ρ =1 and
ρ = 2, by using spherical coordinates.
S
,where S is the solid region between the spheres ρ =1 and
ρ = 2, by using spherical coordinates.
Evaluate ∫∫(x+2y)dA,
where D is the region bounded by the parabolas
y = 2x^2 and y =1+ x^2 .
where D is the region bounded by the parabolas
y = 2x^2 and y =1+ x^2 .
Math
Use the digits 1-7 to create a seven digit number the can be rounded to 6,300,000
) Let V = R
2
. Define addition + on V by (x1, y1) + (x2, y2) = (x1 +x2, y1 +y2) and
scalar multiplication · by r·(a,b) = (ra,0). Check whether V satisfies all the
conditions for it to be a vector space over R with respect to these operations.
2
. Define addition + on V by (x1, y1) + (x2, y2) = (x1 +x2, y1 +y2) and
scalar multiplication · by r·(a,b) = (ra,0). Check whether V satisfies all the
conditions for it to be a vector space over R with respect to these operations.
Show that the function i) u(x, t) =A(x+ct) ^3 is a solution of the one-dimensional wave equation. ii) u(x, t) = {(e)^-(mu ×t)} sinx is a solution of the one-dimensional heat equation.
Joseph conducted a survey of 391 young adults, age 18 through 34 years. Using the data from the table below, determine which of the following statements best describes the age distribution of the sample. You will need to calculate the mean, median, and mode of the distribution, as well as plot the data by hand.
Age Frequency (f) Cf fY Percentage C%
18 12 12 216 6.32 6.32
19 17 29 323 8.95 15.26
20 18 47 360 9.47 24.74
21 20 67 420 10.53 35.26
22 19 86 418 10.00 45.26
23 32 118 736 16.84 62.11
24 33 151 792 17.37 79.47
25 39 190 975 20.53 100.00
Total 190 700 4240 100.00
a.The distribution is bimodal.
b.The distribution is negatively skewed.
c.The distribution is symmetrical.
d.The distribution is positively skewed.
Age Frequency (f) Cf fY Percentage C%
18 12 12 216 6.32 6.32
19 17 29 323 8.95 15.26
20 18 47 360 9.47 24.74
21 20 67 420 10.53 35.26
22 19 86 418 10.00 45.26
23 32 118 736 16.84 62.11
24 33 151 792 17.37 79.47
25 39 190 975 20.53 100.00
Total 190 700 4240 100.00
a.The distribution is bimodal.
b.The distribution is negatively skewed.
c.The distribution is symmetrical.
d.The distribution is positively skewed.
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#340153 on Dec 2023
#340153 on Dec 2023