### Revenue and Cost Functions and Break-Even Point

A revenue function is R(x) = 22x and a cost function is C(x) = -9x + 341. The break even point is: A. (17, 374) B. (242, 9) C. (11, 242) D. (31.5, 661.5)

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A revenue function is R(x) = 22x and a cost function is C(x) = -9x + 341. The break even point is: A. (17, 374) B. (242, 9) C. (11, 242) D. (31.5, 661.5)

Problem: The equation of the line through (8,6) and (2,-4) is A. 5x-3y = 22 B. y=3/5x = 8/5 C. 3x=4y = 48 D. -4x = 2y = -16

Problem: f(x) = (x+2)(2x-3). f(-2) = A. 0 B. 4 C. -6 D. -14

Find and classify the critical points of: f(x, y) = y^2 + x^3 + 3x^2.

Use f(x) = -2x^2 + 3X 21. Find f(-4) 22. Find f(9x-1) 23. Find the difference quotient

1. Let A and B be two nonempty sets of real numbers. Define A+B = {a+b: a belongs to A and b belongs to B}. (a) Show that if A is open, then A+B is open. (b) If A and B are both closed, is A+B closed? Justify your answer. 2. Let f be differentiable for x > a and A as x --> infinity. Prove that there is a sequence x_n --> infi

Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines. Mathematically solve for the exact point of intersection of your two lines compare your mathematical solution with your graphical solution. Similar? Why? Not similar? Why or why not x + 2y = 14 4x - 2y = 18

Find the total length of the polygonal line segments joining the points (xi, f(xi),i=0, 1,...,n, zwhere a= x0,x1,... xn=b is a regular partition of (a,b). use the indicated values for n (1) f(x) = sqrt x, a=0,b=4 (a) n=2, (b) n=4 (2) f(x) = sin^2 x, a=0, b= 2pi (a) n=2 (b) n=4 (c) n=8 (3) Use a y integration to find

(See attached file for full problem description with proper equations and diagrams) --- Graphical solution procedure Please help solve this linear problem in the attachment using the graphical solution procedure & graph the feasible region: Solve the following linear program using the graphical solution procedure: M

6. Recall that R^3={(x,y,z):x,y,z(subset of R)}. Let G(V,E) be a directed graph, in which V= {(x,y,z)-(subset of R^3) :x,y,z(subset of R),-10<=x,y,z<=10}. Suppose that for any vertex, v=(x,y,z)--[subset of V], the only edges originating at v are the ones joining v to (x+1,y,z),(x,y+1,z),(x,y,z+1) . i.e. any path that originate

20. At what points does the graph of y = x^2 - 3x -10 cross the x-axis 21. What are all of the intercepts of the graph of y = 15x^2 + 89x - 6? 22. What are all the intercepts of the graph of y = 2x^2 - 11x + 5? 23. What are all the intercepts of the graph of y = 6x^2 + 13x + 6? 24. What are all the

Provided a and b are not zero, how does a/b compare to b/a? In other words, if a/b=c , then what does b/a equal in terms of c?

Let f(x) = 4x-9. Find all x for which f(x) =2.

(See attached file for full problem description with equations) --- 1.- Let , . Does is uniformly converge on (-1,1)? --- We use the book Methods of Real Analysis by Richard Goldberg.

Let {fn(x)} n-1 ---> infinity be a sequence of continuous functions [0,1] that converges uniformly. a) Show that there exists M>0 such that |fn(x)|<= M (nЄI 0<x<1) b)Does the result in part (a) hold if uniform convergence is replaced by pointwise convergence? ---

Find inflection points for the following functions: (1) f(x) = (x^2) * [e*(17x)] (2) f(x) = (x^2 - 4x + 40) * (x-2)

Please show details of how to arrive at the solutions so I can understand how to do similar problems. (See attached file for full problem description with equations) --- (1) Given that the polynomial function has the given zero, find the other zeros. (2) Find the horizontal asymptote, if any, of the rational function.

1. From the function f (x)=IxI How would I go about finding its image set using interval notation? 2. Again using interval notation, how would I go about finding the image set of the graph g(x)= Ix+3I -2 ? And how then would I go on to solve the equation g(x)=1, and discover if it had any geometrical significance? 3. How

Say I have for example a circle with centre C(7,-5) passing through point A(6,-3) (With tangent line and radius, AC, being perpendicular.) 1. How would I go about finding the gradient of the tangent? 2. How would I go about finding that the equation of the tangent at A is the line x=2y+12 ? 3. And how would I go about find

Please explain how to create a function whose graph has the indicated characteristics for each of a and b (a) Vertical asymptote: x = 5 Horizontal Asymptote: y = 0 (b) Vertical asymptote: x = 5 slant asymptote: y = 3x +2

(See attached file for full problem description with equation) --- Solve this problem. Explain why has a root, and indicate an interval where this root lies. ---

Fixed point of a compressing function on metric space See attached file for full problem description with symbols.

Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree, but must necessarily join some node v to one of its ancestors in T.

1. For medical purposes the level of sugar was measured in blood (in mg/dl). The samples were taken with 1 2hr increments, as the following table shows: initial sample 96 mg/dl after 30 min. 133 mg/dl after 60 min. 142 mg/dl after 90 min. 81 mg/dl after 120 min. 87 mg/dl Graph in MATLAB sugar curves corresponding to thes

Please sketch a graph of an arbitrary function f that satisfies the given condition but does not satisfy the conditions of the Mean Value Theorem on the interval [-5,5] f is not continuous on [-5,5]. Please offer as much explanation as practicable.

Find any critical numbers of the function. h(x) = sin^2x + cosx 0 is less than x which is less than 2pi

Graph f(x) = 5x^2 / (x^2) + 2 I need to know the x and y intercepts and all known asymptotes

Let F(x) = x^.5 find the point on the graph that is closest to the point (4,0) write the complete ordered pair.

(See attached file for full problem description with equations) --- Find the maximum value of the function subject to the constraint . Use the result to prove that Use a similar method to prove that for any positive numbers ,... ---

1. If f(x) = 4x2 - 12x + 9 for x ≥ 0, what is f-1(9)? Please see the attached file for the fully formatted problems.