Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Sphere: x² + y²+z² = 34, Plane: 2x + y − z = 2 (x, y, z) = ( Submit Answer

Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: A medical laboratory raises its own rabbits. The number of rabbits N(t) available at any time t…

A: (A) The function is discontinuous at t=t2​,t4​,t5​,t7​,t8​(B)limt→t6​​N(t)=5N(t6​)=5(C) Limit…

Q: Consider the following. y y=x³-2x -4 -2 + 2 2 y=2x 2 (a) Find the points of intersection of the…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of…

A: The limit of the function f(x) at x= -6   exist if =

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: how did we find 100/3

A:

Q: Hello Continuing with this problem, shown in the picture, where the  parameterization for S was…

A: The area under the given curve is 0 sq. units.Explanation:After the conversion of the variables to…

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…

Q: Find dy x = p² y = 7-8t Select one: a. dy dx O b. dy ○ c. ။ *| dx dy dx O d. dy dx 16 81 18 I dy…

A:

Q: Glorious Gadgets is a retailer of astronomy equipment. They purchase equipment from a supplier and…

A: The given total inventory cost function

Q: ​(A) Find the instantaneous rate of change of the amount in the account after 1 ​year(s)? (B) Find…

A: The required answers are A) 925.409507 dollars per year.B) 935 dollars per year.Explanation:Step 1:…

Q: The 3 × 3 matrix B satisfies the equation B^3 = −B. Show that B cannot have an inverse

A: We proved that, the matrix B cannot have an inverse if it satisfies the equation…

Q: Can you provide me with an example (with solutions and the process involved) of how to approximate a…

A: The objective of this question is to understand how to approximate a function using Taylor series…

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A:

Q: Need help with 41.

A: n = 100Explanation:f(n)=4+(3000/(n+100))For the monthly sales obtained at the price of 19…

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: 2 sin x ate the integral using substitution method dx (3 + cos x)5

A:

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: and Y. If Zxy = -5y, what Assume z is a smooth function of x can you say about each of the…

A: Answers: (a) −5y(b) 0(c) −5Explanation:Step 1:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function

Q: Use the graph to evaluate the limit. lim f(x) X--1 12 OA 314 OB. 0 Oc. -1 O D. 34 OE. The limit does…

A: We need to evaluate limit.

Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: In this problem, use properties of definite integrals. 5 (4x-x2) dx= If [² (4x – (4x-x2) dx= -11 and…

A: Answer is -3Explanation:

Q: Find the first partial derivatives of the function u(r,t) = 3 sin(r cost)). 1. ur(r,t) = = 2.…

A: Explanation is given below:Explanation:

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: The objective of the question is to find the general and particular solution of the cost function C.…

Q: Find f'(x). f(x)=9x²-3ex

A:

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: Next Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q2 + 3q- 44,…

A: Given:a profit function given by P(q)=−0.03q2 +6q−48 where q is the number of thousands of pairs of…

Q: Let y = tan(3x+5). Find the differential dy when x = 1 and da = 0.2 0.61185103 Find the differential…

A: Let .To find the differential .To find the differential .

Q: Find the surface area of revolution by rotating y=sqrt(x) where x is on (0,4) about the x axis

A: The surface area of revolution of curve  about x axis over the interval is The given curve equation…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6rs, s² 7r). Use the table of…

A: We need to find .

Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: 2) The contour map of f(x, y) is shown below. Use it to find fx (1,3) 10 10 8 8 6 =2 6 0 x=2 6 8 10

A: fx​(1,3)=1   Explanation:From the given contour map, we can see that, f(1,3)=4  Similarly we can…

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer:  gu​(0,0)=17gv​(0,0)=8Explanation:Step 1:

Q: The region between the lines y=2x, y=x/3 and x=3.

A: Detailed solution of the problem is given below. Explanation:Step 1: Step 2:

Q: d x-3 Use the Quotient Rule to evaluate and simplify dx 2x-5

A: Let f(x)=x−32x−5f′(x)=ddx(x−32x−5)Using the quotient ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Find the following limit. Tim 8-1X 45√x-4√x 75√x+3√x lim 8-X 45√x-4√x 75√x+3√x 勾 (Simplify your…

A:

Q: 2x-3 Draw a graph of f(x): == +1 by first placing the horizontal and vertical asymptotes, then…

A: The given function

Q: Find the derivative of f with respect to x of f(x) = In x 12

A: The objective of the question is to find the derivative of the function f(x) = ln(x^12) with respect…

Q: Direction: Please include your complete solution.

A: Question 1Slope=6x02​−6x0​Question 2The equation of the tangent line is y=2x+5. See explanation for…

Q: Two helicopters leave a heliport at the same time. The first flies 190⁢km/h in a direction of 290…

A: The distance between the two helicopters after three hours is 369 kilometersExplanation:Step 1:…

Q: Graph the function f(x) = log(x-3) + 1. Identify the domain, the range, and the equation of the…

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Q: The graph of a function is given. Choose the answer that represents the graph of its derivative…

A: We need to determine the graph of the derivative from the given graph.

Q: Calculate the derivative of the following function. y = (x²+3x-2) dy dx

A:

Q: Let P = (a, b, c), Q = (b,a, c) and R = (c, b, a), where a, b, c € Z. (c) Find the Cartesian…

A: The objective of the question is to find the Cartesian equation of the plane containing the points…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: Calculus I May I please have the solution for the following question? Sketch an accurate graph…

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…