In: Math
1. triple integral... first form 0 to pi, second from 0 to pi/3, third to sec(phi) to 2 of p^2*sin(phi) dp d(phi) d(theta)
2. triple integral... first form 0 to pi, second from -sqrt(3) to sqrt(3), third to 1 to sqrt(4-r^2) of r dz dr d(theta)
3. triple integral... first form 0 to pi/2, second from 0 to sqrt(3), third to 1 to sqrt(4-r^2) of r dz dr d(theta)
4. triple integral... first form 0 to pi, second from 0 to sqrt(3), third to 1 to sqrt(4-r^2) of r dz dr d(theta)
5. triple integral... first form 0 to pi, second from 0 to pi/3, third to 1 to 2 of p^2*sin(phi) dp d(phi) d(theta)
6. triple integral... first form 0 to pi/2, second from 0 to pi/6, third to sec(phi) to 2 of p^2*sin(phi) dp d(phi) d(theta)
In: Math
Prove the transitivity of similarity: If △ ???~ △ ??? and △ ???~ △ ??? then △ ???~ △ ???. Write this proof in the numbered statements and reasons style.and also a picture of triangles.
In: Math
A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7
(a)Find the intervals on which f is increasing/decreasing and identify any local extrema.
(b) Find the intervals on which f is concave up/down and find any inflection points.
B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].
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A pilot on a heading of 320o with an air speed of 240 km/h. Her actual ground velocity is 250 km/h at a bearing of 318o. Calculate the speed and direction of the wind.
Please include the equation we are trying to solve values for as I get confused easily! Thank you in advance.
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Find the Fourier cosine and sine series of f(t) = t^2 ,0 < t < π
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An airplane is flying at an air speed of 420 km/h on a heading of 210o. A 45 km/h wind is blowing from a bearing of 50o. Determine the bearing and ground velocity of the airplane using geometric vectors.
Please include what equation we are trying to solve for, thank you in advance~!
In: Math
Find point PP that belongs to the line and direction vector vv of the line. Express vv in component form. Find the distance from the origin to line L. 251. x=1+t,y=3+t,z=5+4t,x=1+t,y=3+t,z=5+4t, t∈R answers are
a- P=(1,3,5) V=<1,1,4> b. Square root of 3
I want all work shown please. I do not understand how to get root 3
In: Math
Jeannie makes flower arrangements. she has 13 different cut flowers and plans to use 5 of them. how many different selections of the 5 flowers are possible?
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Let Vector_1=[Column (1 &-2&1)],Vector_2=[Column(2&-1&1)],Vector_3=[Column(-2&... Let Vector_1=[Column (1 &-2&1)],Vector_2=[Column(2&-1&1)],Vector_3=[Column(-2&-2&0)],Vector_4=[Column(1&-2&-2)]. Show that S={Vector_1,Vector_2,Vector_3,Vector_4} is linearly dependent.
Show that Vector_3 can be written as a linear combination of Vector_1,Vector_2 and Vector_4.
Show that T={Vector_1,Vector_2,Vector_4} is linearly independent.
Show that the set of all linear combinations of vectors from S is the same as the set of all linear combinations of vectors from T.
In: Math
In: Math
3. a) Consider the vector field F(x, y, z) = (2xy2 z, 2x 2 yz, x2 y 2 ) and the curve r(t) = (sin t,sin t cost, cost) on the interval [ π 4 , 3π 4 ]. Calculate R C F · dr using the definition of the line integral. [5] b) Find a function f : R 3 → R so that F = ∇f. [5] c) Verify your answer from (a) using (b) and the Fundamental Theorem for Line Integrals. [5]
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1. Find p and graph the parabola y+12x−2x^2=16
2. Find e, d and determine which conic that has the equation r= 4 / 5 - 4sin(theta)
Please show steps. Thanks a lot.
In: Math
The demand function for a particular product is given by D(x)=3x2−7x+110‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√D(x)=3x2−7x+110 dollars, where x is the number of units sold. What is the marginal revenue when 44 items are sold? Round your answer to 2 decimal places.
D(x)=3x2−7x+110‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√t
thats a suqare root over the numbers
In: Math
Find a polynomial function P of the lowest possible degree, having real coefficients, a leading coefficient of 1, and with the given zeros. 1+3i, -1, and 2?
In: Math