Try to find the slope of the tangent to the circle x²+y²=5. at the point (-2, 1) Show solution

Q: f(1) 100 g(x) lim where f(r) and g(x) are seen in the graph.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+o\ 9t2 + 10' 3t (?, ?)

A: We have to find the limit

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A: Given problem:- Find k(t) of r(t) =e12t i +e-t j

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A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

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Q: Evaluate the indefinite integral. (Remember 26 dz ,7 z' + 2

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A: We have to find value of K

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Q: 4) Find the critical points of the parametric equations x = 5 – In t y = t + Int

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Q: x+1 1.

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A: answer is in next step

Q: |y csc?y dy is equal to A) y coty+ coty B -у соty + coty dy C) None (D -y coty - | coty dy E у coty-…

A: we have to find out

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 7. S x4 sec (x5 - 9) dx 8. S tan 3 x dx

A: 7. ∫x4 secx5-9 dx8. ∫tan3x dx

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A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

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A: Given query is to find rate of change of revenue.

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Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Find the area bounded by the indicated curves. y = (x - 1)2, y = 8x - 24, where 3 s x s 5 Optional…

A: Let us draw the graph.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: ired) and other rules; You can use technology

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Q: 1. How fast is the ice forming when t = 1? When t = 2? Give units. when t = 1: when t = 2: 2. If ice…

A: see below the answer and explanation

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

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Q: 3) Find and d²y of the following equation then simplify whenever possible. dx dx² x = 3em y = 2mem

A: A detailed solution is given below

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Q: r=5 sin  18t  i−5 cos  18t  jr=5⁢ sin⁢  18⁢t⁢  i-5⁢ cos⁢ ⁢ 18⁢t⁢  ⁢j It is a circle of radius 1818…

A: We have to find the centre and radius of the circle.

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: x = x1 + x2 x2 = -2x1 + 4x2 х1 (0) %3D 1; х-(0) 3D 0 %3D

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: We need to find volume.

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Q: integral

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Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

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A: topic - application of derivatives

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Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: Solve for x. (Round your answer to three decimal places.) ex 8. %3D X =

A: We can solve by taking natural log both side and solve, so I'm providing hand written solution for…

Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out