Consider the function f(x,y)=∜(x^2+y^2 ) Find the gradient vector of the function at the point (1, 1). Find the equation of the tangent plane at the point (1, 1) I've tried to solve the gradient vector of the function by trying to differentiate the x and y values of the unction. I'm just unsure how to do this when
Not sure what to do with this... Can you pint me in the right direction? Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
Draw the graphs of the following trigonometric functions and mark the asymptotes and intercepts. (1) y = 2 sin(0.5x) (2) y = cot(pi x) (3) y = -cos(2x + pi). See the attached file.
Graphing periodic functions by finding x and y- intercepts and asymptotes. 1. y = sin(x/2) 2. y = cot(πx) 3. y = -cos(2x + pi)
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D. Is the same true for an unbounded sequence?
1) Solve 6x2 + 3x - 18 = 0 using the quadratic formula. Read the information in the assignment list to learn more about how to type math symbols, such as the square root. 2) Use the graph of y = x2 + 4x - 5 to answer the following: a) Without solving the equation, use the graph to determine the solution(s) to the equat
The revenue function for a good is R(q)=-0.3*q^2+12*q. Use the difference quotient with an increment of h=0.01 to approximate the marginal revenue at q=10, R'(10). See the attached file.
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
1. Write the equation of the line with slope -2 and y-intercept (0, 0). Then graph the line. 2. Graph f(x) = 3x + 2
1. Write the equation of the line with slope -6 and y-intercept (0, 9). 2. The number of people infected after t days is P = 200 + 5t - t2. Find the number of days until the number of people infected is 150
1. Write the equation of the line which has y-intercept (0, 5) and is perpendicular to the line with equation y = -3x + 1. 2. Write the equation of the line passing through (-3, -5) and (3, 0).
Determine which two equations represent parallel lines. (a) y = -7x + 5 (b) y = 7x + 5 (c) y = 1/7 x + 5 (d) y = -7x + 8 2. Write the equation of the line with x-intercept (-10, 0) and undefined slope.
College level proof before real analysis. Please see the attached file.
If f: A -- onto --> B, and g: B -- onto --> C, the g of f: A -- onto --> C. That is, the composite of surjective functions is a surjection. Please prove the theorem.
See the attached file. 14. Let f: A --> B, D is a subset of A, and E is a subset of B. Prove that a) f(f^-1(E)) is a subset of E b) A - f^-1(E) is a subset of f^-1(B - E) c) f^-1(B - E) is a subset of A - f^-1(E). d) E = f(f^-1(E)) if E is a subset of Rng(f) From Images of Sets. Prove for each part except (a) and (
Derivatives and graphing; please show all work. See attached. Pg 176 #24 For the function, f, given in the graph in following figure: a) sketch f ' (x) b) Where does f ' (x) change its sign? c) Where does f ' (x) have local maxima or minima? #25 Using the answer to previous problem as a guide, write a
Find the slope of the line that contains (-2,4) and (-6,7)
Please see the attached file.
#1. find the center,foci and vertices of ellipse. (x+4)^2/49 + (Y+4)^2/25 =1 #2. Find the center, transverse,axis,vertices,foci and asymptotes. Graph the equation y^2-x^2=100 #3. find the equation of hyperbola. Vertices (-1,5) and (9,-5) Asymptote the line y+5=6/5 (x-4) write the equatio
#1. Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Focus(-5,0) Vertex(0,0) #2 Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1 #3. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (
Please show work where applicable. Some graphing needed. #5 The function f(x)=x^4 - 4x^3 + 8x has a critical point at x=1. Use the second derivative test to identify it as a local maximum, a local minimum or neither. Using calc or computer, graph the following functions. Describe briefly in words the interesting features o
Please see the attached file.
Inequalities - Solve and graph: Questions are in the attached file.
Which of the following are functions? 1. f(x) = 2 if x > 1 otherwise f(x) = -1 2. f(x) = 5 if x > 0 or f(x) = -5 if x < 0 or f(x) = 5 or -5 if x = 0 3. f(x) = x/10
Find a power series representation for the function and determine the interval of convergence. f(x)= 3/(1-x^4) Please show steps.
1. Kellam Images prints snack food bags on long rolls of plastic film. The plant operates 250 days a year. The daily production rate is 6000 bags, and the daily demand is 3500 bags. The cost to set up the design for printing is $300. The holding cost is estimated at 2 cents per bag. a. What is the recommended production lot s
Please see the attached file.
I am having trouble coming up with these examples. Please justify your answer for studying purposes. See attachment for full problem
College level proof before real analysis. Please explain each step of your solution. Thank you.
College level proof before real analysis. Please explain each step of your solution. Thank you.