1. Find all critical points of this function. f(x, y) = 7x8y+2xy - x² + y ³ Then classify each critical point as a local maximum, local minimum, saddle point, or none of these. Show all your work and justify your answers. 7 3

Q: Evaluate the line integral f(x2+2y2)ds for C: the line segment from (1,2) to (4,6)

A:

Q: I need help with question 4

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: Determine whether the statement is true or false. If C^x^ diverges when x = 5, then it diverges when…

A: Step 2: Explanation  Step 3: Step 4:

Q: Need help please not sure why I didn’t get full points

A: Step 1: Step 2: Step 3: Step 4:

Q: 22) Does the point D(7.-1, 8) lie on the line with symmetric equations - 4 2-69 *3=1+2=20? Explain.

A: To check if the point  D(7, -1, 8)  lies on the line with symmetric equations 3x−4​=1y+2​=2z−6​, we…

Q: Given: x= 10- t2, y=t3 – 12t a) Find the values of t that make the tangent horizontal or vertical.…

A: Step 1:a) Finding Values of t for Horizontal or Vertical Tangents: To find the values of t that make…

Q: Evaluate the definite integral. Use a graphing utility to verify your result. '5 1³ ex ex sin(x) dx…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Find and simplify the derivative of the following function. f(x) = 3x5 (2x²-1) The derivative of…

A:

Q: A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min ¹.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: Which of the following functions has the smallest average value on the given interval? Select one:…

A:

Q: D SOIU CA 5 app.formative.com/formatives/660b028218aa21ac9086d4a9 f(0,9) 4 (Simplify your answer.)…

A: Step 1:​(5) f(x,y)=2x2+3y​.y​ is defined when y⩾02x2 is defined for all xDomain: {(x,y)∣x∈R,y⩾0}D.…

Q: A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min¯¹.…

A: Please comment down for any doubt. I hope my answer helps you.

Q: solve for x: x^3+x^2+x=1 algebraically

A:

Q: 6

A: o . fts an Strictly increasing Function © XL is Chreatest. 3a) is greatest when, X = () ③ x, is…

Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1:

Q: The distance between cities A and B on a map is 12.5 in. The distance from city B to city C, is 8.75…

A: The bearing of A to B is N76∘E. First, let us find the interior angle A using the Law of Cosines.…

Q: Fill in the blank

A:

Q: Find the sum of the areas of the shaded rectangles under the graph. [Hint: The width of each…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: 1 19 a. Which of the following points lies on the line x = 21, y = 3+1, z=1+0 A(2,4,2) B(-2, 2, 1)…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x)=4x²…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Evaluate the given integral by changing to polar coordinates. 10xy dA, where D is the disk with…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 2000 + 800 votes per…

A:

Q: A force, F(x) object? 100x, is applied to an object to move it from x = 3 to x = 5. How much work…

A:

Q: Using the attached theorms, Solve dx/dt =4x+y , dy/dt=-2x+2y

A: Step 1: Step 2: Step 3:

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: Step 1:

Q: Which of the following is the equation x² + y² = 4 in spherical coordinates? Or² = 4 Op² = 4 Op²…

A: Step 1:    Step 2: Step 3: Step 4:

Q: solve and replace in the equations

A: Step 1: To solve the system of equations, we can use substitution or matrix methods. Let's first…

Q: Approximate the area under the graph of f(x) = 0.05x4 - 3.24x² +80 over the interval [3,11] by…

A: Step 1:Given that f(x) = 0.05x4 - 3.24x* + 80 Step 2:the width of each sub-interval is…

Q: Which integral can be approximated by a right Riemann sum where f(x) = 2x3 + 3 on the interval [2,…

A:

Q: I need the answer for my practice test!

A: The given curve is:f(x)=x2+3x−4 A point on a tangent line to the curve is:(2,3) NOTE: The slope of…

Q: What point (if any!) of the curve h(x) = x^3, does the normal have a slope of 15

A: The objective of this question is to find the point on the curve h(x) = x^3 where the normal to the…

Q: Please help me w this question, use clear explanations and steps when solving. Thank you

A: The objective of this question is to find the tension in each of the two ropes suspending a 74 N…

Q: Which of the following is an antiderivative of (x² + 1)²? I. +x2_1 x III. 5 X +x2+In. +x² +In|x²|+3…

A: To find the antiderivative of (x2+(1/x))2 Expand it and then integrate each term separately. Here's…

Q: For a company that manufactures tennis rackets, the average cost per racket is found to be C: where…

A: Given the function,C=x360​+6+31​x Using differentials to approximate the change in average cost for…

Q: Suppose that f(x) = (1 − x)(x+5)². (A) Find all critical values of f. If there are no critical…

A: Step 1:Step 2:Step 3:Step 4:

Q: Find f'(x) and simplify. f(x) = x5 Inx ○ A. (x5) (3) - (Inx) (5x) ○ B. (1) (5x4) ○ c. (x5) (5x4) +…

A: If you have any problem let me know here in comment box for this thankyou.

Q: Find the eigenvalues and eigenvectors of the matrix. A -5 4- ( 335 35

A: Eigen values calculation: Eigen vector calculation:

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the question is to find the largest set of values n for which 2^n < n! and to…

Q: 7

A:

Q: If f(x) = (x+4)sin(√x+4), what is the average off on the closed interval [0, 5]? Round to 3 decimal…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1:To evaluate the integral , we can use the integration rules for exponential functions.First,…

Q: (a) Suppose that k is an odd integer and w is a k-form. Show that w^w = 0. (b) Note: This question…

A:

Q: dy 3. By hand, sketch the slope field for = xe where x = [-3, 3] and y = [-—3,3]. dx Then sketch a…

A: i have plotted the graph using a tool please give helpful rating. im sorry i dont have pen and…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. In the specific-factors model described in the textbook, a decrease in the price of the…

A: In the specific factors model, when the price of manufacturing output decreases, the marginal…

Q: Consider the following pentagon. Which of the following is false? B E A W A. BD =w+ B. AB OC. AC CB…

A:

Q: Practice

A: The objective of this question is to express the given vectors in the form ai + bj. Here, 'a' and…

Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

A: