Find the maximum value of w=xyz on the line of intersection of the two planes x+y+z=40 and x+y-z=0.

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: A. Find the equations of the intersection line between the planes 3xyz2 and x-y+2z = 3

A:

Q: The sides of a square carpet is measured at 2 ft. Estimate using the Linear Approximation the…

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Q: 6. Sketch an even continuous function with all of the following features: • Absolute minimum at -5 •…

A: Function is even continuous  function.  Absolute minimal at -5 Zeroes at 4 and -4y- intercept at -23…

Q: Calculus One Problem. Please help. Thank you.

A: dxdy​=(5x4−10x)cos2x4+(x5−5x2−2)(−8x3sin2x4)Explanation:

Q: principle: $15,000 Interest Rate: 12% Date borrowed:May 12 Date Repaid : September 16 Time:127…

A: The principal amount is P=15000The interest rate is r=12%=0.12Given time is t=127 days.The simple…

Q: +0+x (4) lim xx

A:

Q: Verify that the following functions are inverses of each other. Clearly show the proofs! f(x)=2e1x+4…

A: f(x) and g(x) are inverse of each other Explanation:

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A:

Q: Suppose f(x, y) = x² + y² - 10x - 6y+4 (A) How many critical points does f have in R²? (B) If there…

A:

Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

A: To find the area of shaded regions

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A:

Q: The length {, width w, and height h of a box change with time. At a certain instant the dimensions…

A: Detailed solution of the problem is attached below,Feel free to comment below if you want any…

Q: End Find the derivative from FIRST PRINCIPLES of A 3) 3 f(x) = 2x+1 nobonut gniwo

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: The objective of this question is to find the volume of a tetrahedron enclosed by the coordinate…

Q: The daily cost C' (in dollars) for a manufacturer to produce x electronic video components is given…

A: An increase of $39.44 Thank you  Let me know if you have any doubts Explanation:Step 1:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: A.…

Q: Find equations of the following. x² - 2y²+ x² + y = 5, (5,3,-2) (a) the tangent plane (b) the normal…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:

Q: rientation toward the origin. √s F. ds =

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Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to identify which of the given statements is a proposition. A…

Q: y= (sin(x))6x³-8x+17

A: y=(sin⁡(x))6x3−8x+17Taking natural log both sidesln⁡y=ln⁡[(sin⁡(x))6x3−8x+17]Using logarithm…

Q: 1. Compare using the method of volume by disks and volume by shells by completing this problem using…

A: First of all i would like to introduce about the basic background of Mathematics so that you can…

Q: The function f(x)- is concave down on which interval?

A: The function f(x) is concave up on the interval I if f"(x) >0 for all x in I.The function f(x) is…

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

Q: Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1. (Use decimal notation. Give…

A:

Q: Find the derivative of the following function from first principals: Y - - 1 X

A: To find the derivative of the following function from the first principle.

Q: Consider the definite integral Cx3 dx 0 How many partitions would be needed to approximate this…

A: The given integral is The error bounds for the midpoint rule If  and  be the error in the mid point…

Q: The function f(x) - 244 is concave down on which interval?

A: Given: To Find: To determine the interval on which the above function is concave down.

Q: 7) The region bounded by y= √x, y= 2, x=0 is revolved about the y-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: what about the local minimum?

A: To find the point(s) of local minimum in the following graph.

Q: 2. Consider the region S bounded by the curves 1 y=x+ and y=x- 14 a. x" for x≥1 Is the area of S…

A: The objective of this question is to determine whether the area of the region S bounded by the…

Q: Simplify. CSCX CSCX CO Use algebra and the fun mental trigonometric identities. Your answer should…

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Q: Snacks Movies 10% 18% Video Games Candles 36% Manga 20% 3 Mia received $150 for her birthday. How…

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Q: Problem 1. Prove Theorem 6.14 which is given below. Theorem (Second Derivative Test). Suppose that ƒ…

A: Theorem (Second Derivative Test). Suppose that f:R→R is C3 in a neighborhood of a critical point…

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A: The objective of the question is to find out the total number of different choices available at the…

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Q: 2 sin x+3sx=3 Write your answer in radians in terms of π. If there is more than he solution,…

A: c

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: The temperature of a metal plate at the point (x, y) is given as T(x, y), where T(x, y) is measured…

A: To solve for for  T_y(6,4) , we are seeking out the price of trade of temperature with apprehend to…

Q: Find the length of the arc, s, on a circle of radius r intercepted by a central angle 0. Express arc…

A: Answer:   S=(13/2)π feet   S=20.42 feet  Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Notice this is the graph of the derivative of g not the graph of g itself. Answer the following…

A:

Q: The demand curve for original Iguanawoman comics is given by q =  (398 − p)2 50       (0 ≤…

A: Ep = - 0.2 (has been rounded off) Explanation:

Q: #ind d²y/ dx²: y(x) = tan x

A:

Q: Please help with Calculus 1 Problem. Thank you.

A: Please refer below to get your solution.Explanation:Sol)

Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: If 0=34°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: Answer is given below :-Explanation:

Q: Find the length of the parametric curve defined by x = 3 sin(2t), y = 3 cos(2t) from t = 0 to t =…

A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

Q: Find the limit or indicate that it does not exist. 7 lim t→L sin 6t i+ (cos 131)+ (ta 7 tan 4 到 k…

A: To find:-

Q: 11. Use the shift property to find the Laplace transform of eat sin kt. uitobing property to find…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Therefore, the required answers are a) 117.694561 degreesTo get this in radians, multiply it by…