Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

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A: We know, ddtr1(t).r2(t)=r1(t).dr2(t)dt+r2(t)dr1(t)dtddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

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Q: 6. Use Green's Theorem to find the counterclockwise circulation and the outward flux for the field F…

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Q: trignometric

A: We will find the solution.

Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

A: answer is in next step

Q: lim x++∞ COS X log logi x

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Q: Write the Taylor series for f(x) = x³ about x = −2 asen(x+2)". n=0 Find the first five coefficients.…

A: Given that      f(x) = x3

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A: Determine whether F(x,y) is a conservative vector??

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Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: Convert the polar equation to rectangular form. r = 5/1+sin(theta)

A: Note that, the rectangular(cartesian) to polar conversion is given by: x=r cos θ, y=r sin θ And, the…

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

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Q: Match the vector field with its graph. F(x, y) = yi 1 |||||||||| 三 6 靈

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Q: (D² − 3D + 2)y = 2e¯* +8

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Q: Solve for the solution of: (D3 + D)2y = 0

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Q: Verify Green's Theorem by evaluating both integrals ƏN [< y² dx + x² dy = √₂₁ / (™N - 3W) CIA dA əx…

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Q: A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with…

A: This question can be solved using the concept of differential equation.

Q: Express the series using sigma notation 5-10 + 20-40+80 °5(-2)-¹ 21 -2n-5 7-1 0-5(-2)-1 -2(5)-¹ 7-1…

A: Infinite series

Q: Find the exact length. T=0², 0≤0 ≤ 2π ° 4[G²+1²] ²3 [(x² + 1)² - 1] [(²+1)-1] ° 4[68² +1²]

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Q: Let ƒ(x) = √x(2 − x)². Use the local linear approximation of f(x) at x 1 to estimate the value of…

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: ∑n=1∞  n!22n!

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Q: Find all solutions to the equation. csc 0-√2=0 Write your answer in radians in terms of , and use…

A: As we know that; The general solution of the trigonometric equation sinθ=sinα is; θ=kπ+-1kα,  where…

Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: 1. Consider the differential equation: dy = = 2y - cos (3t) dt a. Find the homogeneous and…

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Q: Evaluate the limits of the following. State the theorem(s) used. x²³ +8 lim x+2 x+2

A: We can solve this as follows:

Q: A company that sells memory chips for computers established the price-demand and cost functions as:…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41²³1 (4t³i + 14tj - 6√tk)…

A: Given that we need to solve the indefinite integral with using integral constant C.

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Find the derivative of f(x) =de 22 Of(x) e (e-2x) ²-e -2x O f'(x)=x²e-2 (-2) O (E) None of these O…

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Q: Prove the identity. sin 2, x = 1- cos x 1 + cos x Note that each Statement must be based on a Rule…

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Q: interval of convergence = 0

A: Follow the procedure given below.

Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

A: Given : f(x)= csc(x)

Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

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Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y…

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Q: Complete the table. (Round your answers to four decimal places.) X-7 x-7x²²-8x+7 x 6.9 6.99 6.999 7…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Given problem:- Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to…

Q: Use Green's Theorem to evaluate the line integral √(x - (y - x)dx + (2x - y)dy for the given path.…

A: Let's find.

Q: (D²4)y= 8e²x - 12

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Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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