Let C(x) be the cost to produce x widgets, and let R(x) be the revenue.
(a) graph both functions
(b) find the minimum break-even quantity
(c) find the maximum revenue
(d) find the maximum profit
R(x) = -x2 + 8x, C(x) = 4x + 3
the question statement is in the picture………………………..
Let C he the curve [cee[1’rt2} + tweet“—tll — ein[1’ttf2]} fur Be at and let 2 [391+ms[x+y})i—cas{x+y}j. Find] F- 11115. (Hint: recall thatn= (d5,— —%}.}c Evaluate the line httegrali lxy :11: + 1:2 11y where C’ 15 the curve 1:111 the cardiad1*: 2 + cos B traveled counterclockwise
Let C be the curve of intersection of the parabolic cylinder x^2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (4, 8, 32/3).
Let C be the curve of intersection of the parabolic cylinder x^2 = 2y, and thesurface 3z = xy. Find the exact length of C from the origin to the point (4, 8, 32/3).Let C be the curve of…
Let C" be a set in three – dimensional space and let @ IC" ) be equal to the volume of C. if Chas finitevolume ; otherwise . let @ !C’ ; be undefined . Find @Icj .( a) ( = (1 2. 4. 2 ) ERY : D < < < 2, 0 = 4 5 1, 0 < < < 3)`( b ) C = ( ( 2. 4. 2 ) ERS : 12 + 4 2 + 2 2 2 1).
Please help with Probability Space functions. The problem is shown in the attachment. I was struggling in understand the concept and I’ll be grateful if you can show me the steps to solutions. Thanks in advance!
6. Let C" be a set in three – dimensional space and let @ ( C ) be equal to the volume of C , if Chas finite*volume ; otherwise , let Q ( O’; be undefined . Find Q ( 0) .( a ) (" = ( ( 2 , 4 , 2) ERS : 0 < < < 2, 0 < 3 < 1 , 0 < < < 3 ).( b ) C = ( ( 2 , 3 , 2) ER 3 : 2 2 + 3 2 + 2 2 2 1 ).7 . For every one – dimensional set C for which the integral exists , Q ( C ) = [of (a ) do , where f ( a ) -Gx ( 1 – 2 ) , 0 < < < 1 , zero elsewhere ; otherwise , let @ ( C") be undefined . Find Q ( C" ) .( a ) (1 = PIER : 1 / 4 < < < 3 / 4)( b ) C 2 = ( 1 / 2}( C ) C3 = PIER : 0 < < < 1018. Suppose the experiment is to choose a real number at randomandom in the interval ( 0 , 1 ) . For any subinterval( a, 6) C ( 0 , 1 ) , it seems reasonable to assign the probability P [ ( a , 6) ] = 6 – a; i.e., the probability ofselecting the point from the subinterval is directly proportional to the length of the subinterval . If thisis the case , choose an appropriate sequence of subintervals to shoe that P [ [a] ] – O for all at ( 0 , 1 )Hint : let ( Chin =I may be a decreasing sequence of events , as in Question 2 , then limn_* too P ( On ) -P ( limn_ too On ) = P (17 = 1 On )`
Let “f” be the function defined by the following:
f(x)= sinx x < 0
x2 0 ≤ x < 1
2-x 1 ≤ x < 2
x-3 x ≥ 2
for what values of x is f NOT continuous?
Please click on the attachment.
Let be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
Let F be a field of characteristic p and suppose that F ⊂ L is separable and that p divides [L : F].
Suppose furthermore that any q-th root of unity, where q is prime and q ≡ 1 (mod p), that lies in L already lies in F.
Show that F ⊂ L cannot be solvable.
Let α, β, and γ be scalars and let a, b, and c be pairwise orthogonal n-vectors. (This means that a⊥b, a⊥c, and b⊥c.) Express ||αa + βb + γc|| in terms of ||a||, ||b||, ||c||, α, β, and γ.
1. Find the location of all local extrema, i.e. local maximum and local minimum for the functions and using
a) the First derivative test
b) the Second derivative test
Note: need to show work completely and explain your work including the solutions as well.
Let f and g be differentiable and continuous functions for all real numbers such thatf(x) = 3::3 +91:2 +2,and 190:) = (§)x‘* + 2×3 + 1. 1. Find the location of all local extrema, i.e. local maximum and local minimum for thefunctions f and 9 using a) the First derivative testb) the Second derivative test
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