Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z=18-x2-xy-y2+21y relative maximum (x, y, z) = relative minimum (x, y, z): = DNE saddle point (x, y, z): = DNE

Q: DETAILS MY NOTES LARCALC12 15.1.071. [-/4.54 Points] (V Find curl(curl F) = ▼ × (▼ × F). F(x, y, z)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please check this for me

A:

Q: 3

A: Given the piecewise equation:g(x)=⎩⎪⎪⎨⎪⎪⎧​5x+6−355x−6​x<−7x=−7x>−7​ Let us evaluate g(-7)…

Q: Use Stokes' Theorem to evaluate b F(x, y, z) = xyi + 3zj + 6yk, F. dr where C is oriented…

A: Thank you

Q: Let v be the vector from initial point P, to terminal point P2. Write v in terms of I and J. P₁ =…

A: Step 1:To find the vector v from point P1​ to point P2​ we subtract the coordinates of P1​ from the…

Q: Use Stokes' theorem to evaluate (V × F) · dS where F(x, y, z) = −4yzi + 4xzj +9(x² + y²)zk and S is…

A: Step 1: Step 2:

Q: Please solve the following calc 3 problem. Please show all work and use calc 3 concpets.  (Alert…

A: Step 1: Step 2: Step 3: Step 4:

Q: Suppose that f(x, y) = 7x + 7y and the region D is given by {(x, y) | -3 < x <1, -3 < y < 1}. D Then…

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

Q: Evaluate the double integral over the given region. Show all work by hand for this calc 3 problem…

A:

Q: Using the ratio test

A:

Q: Find the curl of the vector field F = curl F = 7 + J+ k

A: Given:F=&lt;yx6,xz2,zy5&gt;curlF=∣∣∣∣∣∣∣​i∂x∂​x6y​j∂y∂​xz2​k∂z∂​y5z​∣∣∣∣∣∣∣​=i(∂y∂​(y5z)−∂z∂​(xz2))−…

Q: Use the Integral Test to determine the convergence or divergence of the p-series. h ∞ 1 x0.8 ∞ 1 Σ n…

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

Q: find the value(s) of c guaranteed  by  the  Mean  Value  Theorem  for  Integrals for the function…

A:

Q: [3.93/5.26 Points] Consider the following. DETAILS MY NOTES LARCALC12 15.2.015. PRE C:…

A: Step 1:we have to find thegiven that ∫C​(x+8y​)ds Step 2:

Q: K Let u=81-3], and v = − 7i+9]. Find v-u. V ☐ (Type your answer in terms of i and j.) F2 #3 80 F3 $…

A: Step 1: Step 2: Step 3: Step 4:

Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a)…

A: Curl in Vector CalculusThe curl, denoted by the symbol "∇ ×" (nabla cross), is a fundamental…

Q: Estimate the area of the region bounded by the graph of f(x)=x +4 and the x-axis on [0,6] in the…

A: Step 1: Left Riemann sum and right Riemann sum. Step 2:Divide the interval into four subintervals .…

Q: I need help on question 3?

A: The objective of the question is to find the velocity and acceleration vectors at a given time t,…

Q: Which of the following describes the area of the region in quadrant II bounded by f(x), g(x), and…

A: Step 1: Yellow portion is the required region in quadrant II by by f(x), g(x) and y-axis (x = 0).…

Q: Plz help w dis ques :). See attagced imge. Find axb given the information in the attached img.…

A: Step 1: Given, ∣a∣=12cm, ∣∣∣∣​b∣∣∣∣​=13cm, the angle between them (tail to tail) = θ=35∘we have to…

Q: Show that sin(x) = +∞o FINAL EXAM x2n+1 Σ (-1) (2n+1)! converges for all values of x. n=0 Use this…

A: Step 1:To demonstrate the convergence of the series sin(x)=∑n=0∞​(−1)n⋅(2n+1)!x2n+1​ for all values…

Q: 9) A cube-shaped object is defined in quadrant I by the solid region D: 0≤x≤0≤ y ≤11; 0 ≤ Z ≤1; The…

A: Step 1:​A cube-shaped object is defined in quadrant I by the solid region D:0≤x≤1;0≤y≤1;0≤z≤1;The…

Q: Find the interval of convergence for the given power series. n=1 (x-4)" n(-8) n The series is…

A:

Q: Solve the following calc 3 problem: Find the derivative of the function at the given point in the…

A: The objective of this problem is to find the derivative of the function f(x, y) = -7x²+4y at the…

Q: The function f(x) = 2x³ − 30x² + 54x – 10 has two critical numbers. The smaller one is x = - - and…

A: Step 1: Let write the given.f(x)=2x3−30x2+54x−10 Step 2: Let write what we want.We want to find the…

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A:

Q: Show and explain all steps, especially the orientation of n. Do not use Stoke's Theorem or…

A: Step 1: To calculate the rate of flow of mass through a cross-section perpendicular to the y-axis,…

Q: Please don't provide handwritten solution ...

A: We need to find "n" so that the error in the approximation of ∫01​x+11​dx is less than 0.00001.…

Q: Write the vector v in the form ai+bj, where v has the given magnitude and direction angle. Give your…

A:

Q: Calculate dif V2R P= (R+r)²' where r is variable, and R and V are constant. dP dr Submit answer Next…

A: To calculate drdP​, we'll use the quotient rule and chain rule for differentiation. Here's the given…

Q: Use the Trapezium Rule with hr = 0.5, hy 0.5, hy = 0.4 to approximate 2.5 dx 1.2 [ 12² +x²). dy(y +…

A: Explanation:      The trapezium rule is a method for approximating the definite integral of a…

Q: Solve dx dt = = et cos(2t) + t with x(0) = 3.

A: Step 1:Step 2: Step 3: Step 4:

Q: Please don't provide handwritten solution ...

A:

Q: Using the ratio test

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

Q: Find the quotient of the complex numbers. Leave your answer in polar form. 22 2₁ =6 cos+isin 8…

A: Kindly see attached photo for your guidance.

Q: 4. Solve each of the following equations. a) In(x)=2

A:

Q: I need help on my homework

A: To determine whether the statement about the integral ∫ab​[f(x)−g(x)]dx representing the area…

Q: Construct two different parameterizations of curves which connect (0, 1) and (1,0).

A: The objective of this question is to find two different parameterizations of curves that connect the…

Q: [-/5.26 Points] DETAILS MY NOTES LARCALC12 15.2.062. Evaluate √ 12 - (2x − y) dx + (x + 3y) dy. C:…

A: Step 1:Step 2:

Q: PROBLEM 1 For each of the following velocity curves, calculate the distance traveled between t = 0…

A:

Q: Use the price model above to answer question 1 1)  Estimate the price per sleeping bag when the…

A: Step 1: Make a table with the following: xP($)x^2x^3 x^4x(P($))(x^2)(P($)…

Q: Find the parametric equations for the tangent line to the curve x = t³ − 1, y = t² + 1, z = t² = at…

A: Step 1:

Q: Do This: 1. √ 2x5dx 2. √ √ √ dx 3. f 3x(5 x + x²)dx 4. S 5. S sinx cos² dx 3tanx-4cos2x -dx COSX

A:

Q: Use Green's Theorem to evaluate the integral Le (y-x)dx+ (10x-y)dy for the path C: boundary of the…

A:

Q: Photo G Find the surface area of the part of the plane z = 4+ 3x + 7y that lies inside the cylinder…

A:

Q: Find all the values of x such that the given series would converge. хп (4)" (√√n+4) n=1 The series…

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

Q: Find y ″ by implicit differentiation. 2x3 − 3y3 = 2

A: The objective of this question is to find the second derivative of the function y, denoted as y″, by…

Q: I need help on question 3?

A:

Q: Given that A is a 2 x 3 matrix and B is a 4 x 2 matrix. (a) Is AB defined? If so, what is the order…

A:

Q: Consider the indefinite integral 1/25 x6-7 dx: This can be transformed into a basic integral by…

A: