(1 + 1) ds + 2s = 3(1 + 1) + 12. (t 1 (t + 1)²¹ t> -1

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A:

Q: Expand:

A: Given data, log7x549y10

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A: We need to find out the derivative.

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A: Given query is to find indicated partial derivatives.

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: Find the directional derivative of f(x, y, z) = yz + x¹, at (3, 2, 1) in the direction of = + + k 7…

A: Given Find gradient

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A: See this solution in below.

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A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

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A: Given data:- A restaurant offers the following lunch menu:- Main Course      Vegetables…

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A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A:

Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

A: We need to find partial derivative. NOTE - As per Bartleby guidelines we can solve one question.…

Q: Given lim f(x) = -5 and lim g(x) = -12, evaluate lim [5f(x)-2g(x)]. X→ 11 X-11 X→ 11 O lim…

A: Given that: limx→11f(x)=-5, limx→11g(x)=-12

Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

A:

Q: Let y = || = y'"' = = x + 7 X X Hint: Try to do this without using the quotient rule.

A:

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

A:

Q: If f(x) = sin x, find ƒ'(x) 5 5 sin(x) cos(x) Find f'(2)

A:

Q: x=t+3 and y=²+2t Part: 0/2 Part 1 of 2 (a) Eliminate the parameter and write an equation in…

A: The parametric equations are x = t+3                         .........1y = t2+2t…

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A: Given: Number of digits in area code = 3 Number of digits in  local telephone number = 7 Total…

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6√3 and whose components have…

A: Let vecter to be xi+yj+zk Then length of vector = √(x^2+y^2+z^2)=6√3

Q: D. Verify the general solution and obtain the particular solution using the given initial…

A: Differential equation

Q: Use implicit differentiation to find дz дх дz ду = = дz дх and дz ду ln(xy + yz + xz) = 5, (x > 0, y…

A: see below the answer and calculation

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A: Probability:- The field of probability deals with the numerical representation of the likelihood…

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A: Given query is to find marginal average cost.

Q: Question-Solution-Final Answer-Conclusion format) - Generate solution of the first-order…

A:

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

Q: Determine the domain and range of the following parabola. f(x) = x² + 4x + 6 Enter your answer as an…

A:

Q: PZ π/2 4 2 1 79 -3 -4 The graph of the function f(x) = tan x is given above for the interval a € [0,…

A: Given query is to find indicated limits and vertical asymptotes.

Q: If f(x, y, z) = 3xy + z² and u is the unit vector in the direction of (3, -3, -4), then the…

A: This question can be solved using the concept of derivatives and vector.

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Q: Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x)…

A:

Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

A: We have to find part 1,2 and 3.

Q: At what point does the tangent line to the curve y=3x4 -10x+3 at x = 1 intersect the x-axis?

A: Explained below

Q: f(x) = In (x + 9)

A: Given  f(x) = ln ( x + 9 )

Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

A:

Q: Let f(x) be an invertible and differentiable function on (-00, ∞o). Find (f-¹)/(3) if you know the…

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Q: Use the first derivative test to determine all local minimum and m points of the function y=x³-6x²…

A:

Q: Consider the function f(x) = 3x²-5x+2. Use it to find f(4), f(-1), and f(a + 3). f(4) = 30 O…

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Q: y-values 6 8 7 6 5 4 32 1 If f(x) = f'(1) = g(x) h(x) ' g(x) 2 3 x-values then 4 Out y-values S 4 3…

A: To find the derivative of f(x) at x=1.

Q: Rewrite the following quadratic function in vertex form f(x) = a(x − h)² + k. f(x) = 6x² - 6x +1…

A: Given query is to find the quadratic form of the function n

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Q: Check that the point (1, -1, 1) lies on the given surface. Then, viewing the surface as a level…

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Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

A:

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: Please see the below picture for detailed solution.

Q: Graph the polynomial given below by first selecting the number of points you will need, then move…

A:

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A:

Q: 2. y=x+c₁e* + C₂е¯x

A: Given :y=x+c1ex+c2e-x

Q: Find the directional derivative off at P in the direction of a. ƒ(x, y) = 5x²y³; P(2, 2); a = 3 i −…

A: This question can be solved using the concept of partial derivatives and vectors.

Q: According to one model that takes into account air resistance, the acceleration a(t) in m/s" of a…

A: Here is the solution: