Find the slope of the tangent line to the curve below at the point (7,7 4x+3y+ √3xy = 19.124355652982

Q: Let g(x, y, z) = x³y²z√√√18-x-y-z.

A: The given function is

Q: Find the equation of the tangent plane to the surfaceln(x3 + y3 + z3) = x2z + 1at the point (1, 1,…

A: The objective of this question is to find the equation of the tangent plane to the given surface at…

Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: a. 40b. 0c.5​1​Explanation:a. We can evaluate the limit by direct substitution. This means we will…

Q: D At least one of the answers above is NOT correct. 0 Calculate the Taylor polynomials T2(x) and…

A: The objective of the question is to calculate the Taylor polynomials T2(x) and T3(x) centered at x =…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3+² -…

A: Therefore, the required answer is x=16−3​y2+89​y−1627​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

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Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Evaluate the following double integral: x2 SL √x² + ydzdy. 0

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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: how did we find 100/3

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

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Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

Q: 2. Use the method of shells to calculate the volume that is created when the following area is…

A: ​The required volume is, V=368π​ unit3​Explanation:Step 1:​Region is bounded by…

Q: 27 sin(t) cos(t) = −12 cos(t) t =

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Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²…

A: ∂s∂z​=∂t∂z​=∂u∂z​=0,  when s=3,t=1,u=5 Explanation:

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Can you give me an example (with problem, solution, and a detailed description of the process that…

A: The objective of this question is to understand how to derive the scalar equation of a plane using…

Q: Examine the function and a A point C1 y= -Incx)

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Q: If then A = || 1 −1 -21 -1 21 1 -2 1 2

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Q: Using the digits below, write down a) a two-digit number with rotational symmetry of order 2. b) a…

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Q: Can you do part (b) ?

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: lim 4zex²+y² (x,y,z)(2,4,5) 2x² +4y²+5z²

A:

Q: Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

A: The given function

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: Please see the solutions.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The Parametric equation of the line that passes through the point A(1, -1, 1) and parallel to the…

A: Given that line passes through the point A(1,−1,1) and parallel to vector v→(1,0,1)To find:…

Q: A drone takes 50.3 seconds to travel 400 metres. Calculate the average speed of the drone. Give your…

A: A drone takes 50.3 seconds to travel 400 meters. To calculate the average speed of the drone.

Q: Find all solutions of the equation in the interval [0, 2π). tan 20+2 sec0=-1 Write your answer in…

A:

Q: × Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: ⟨−22​​,22​​⟩ 42​ Explanation:Given the function,f(x,y)=xy2​,(2,4) Let us solve for the gradient of…

Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

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Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4   Extrema of the function subject to constraint x2 + y2 = 1…

Q: Question The graph below represents the function g (a) and the graph gives selected values for the…

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Q: Consider the function f(x) = x² + 2x - 8. (a) Find and simplify: f(z)-(1) 귿-1 (b) Now determine the…

A: C=1/7Explanation:

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

A: Given two equations of planes3x+y−z=2 and x−y+2z=3To find: equations of the intersection line…

Q: Give an example of a divergent alternating series satisfying only Condition (ii) of the Leibniz…

A: ∑n=1∞​(−1)nn+2n​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

Q: lim Vn!

A: Substituting stirlings approximation into the expression:limn→∞​nnn!​​=limn→∞​nn2πn​(en​​)n​…

Q: A construction firm wants to buy a building site and has the choice between three different payment…

A: Since you have at least $67,000 available for a cash payment, option (a) might be initially…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y= 96t² - 48t+…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Parameterize x(y) = √√y+5y using y = t Ans=

A: The parameterization of x(y)  using  y = t  is  x(t)=t​+5tExplanation:Given expression is…

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, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Part 1: AnswerThe producer's surplus at market equilibrium for the given product is approximately…

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…