16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A: Given question is asking to find the length of the curve.

Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

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A:

Q: 10 5 Let A 4 1 -3 k 6-2 Find the values of k for which A is invertible. O Ais invertible ifk # 27.2.…

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Q: Double Integrals In each problems a) sketch the domain F over which the integration is performed;…

A: Given problem:-

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Q: Use trig identities to integrate: sinxsec’xdx

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

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Q: 16. Simplify. 5+ (467)⁰

A:

Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

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Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

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Q: Which of the following is the particular solution of the differential equation dy dx y = 0 when x =…

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Q: Thank You FRONTLINERS number of tickets for a fund-raising campaign that aims to help the Front…

A: Concept: To find the total number of tickets in all three weeks we have used the method of simple…

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Q: Consider the arc L: y = 1+ cosa from (0, 2) to (,¹). of the surface formed when I is revolved about…

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Q: Show that the differential equation x²y³ + x(1+y²)y' = 0 is not exact, but becomes exact when…

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Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

A:

Q: -3x₁ + x₂ + 3x3 = 0 -6x₁ + 3x₂ + 3x3 = 0 2x13x2 + 5x3 = 0 Write the solution set of the given…

A: The given system of equation,-3x1+x2+3x3=0-6x1+3x2+3x3=02x1-3x2+5x3=0

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

A:

Q: A tank contains 420 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: We can solve the given problem by using the variable separable method.

Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

A:

Q: 4. If u = xy + y²z³, where x = rset, y = rs²e-t and z = r²s sint, find the value of du/ds and au/ar…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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A:

Q: They 2 r 1 10 mber of Red Cars hat was the average number of red cars that they saw each hour? Round…

A: Topic:- Algebra

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A:

Q: Solve for y esec(4y²-6y+14) = 3x + 1

A:

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: b. √x+√9-5x²dx

A: Topic:- integration

Q: 3. _1ffx,y) = tan—1 (), then X c) (x2 +y2)2 is ܐܐܐ )b ܐ)?x +y(

A:

Q: A curve is defined by the parametric equations Find the length of the curve from t=1 to the closest…

A: .We have to find the length of curve,

Q: 4) A tank contains 100 gallons of pure water. A brine solution with 1kg/gal of salt enters at…

A: Let's find amount of salt in the tank after 45 minutes.

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A:

Q: Find the Volume: Rotate the region bounded by y = 7 - x², x=-2 and x = 2 and the x-axis about the…

A:

Q: Given the vector function F(t) = (5t, - 3t², − 4t³ + 5) Find the velocity and acceleration vectors…

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Q: [ 1 x2 -a2 dx

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Q: Consider the region bounded by y = e*+1, y = 1, and y-axis. 15 0.5 -0.5 0 Using the Cylindrical…

A:

Q: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

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Q: D) Find the parametric and symmetric equations of the line through the points (1,2,0) fic and sym of…

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Q: ect one: a. 1 rad/s b. 4 rad/s. 1 C. -rad/s 12 d. 1 =rad/s ܩ 0 30 ft

A: Topic:- application of derivatives

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A:

Q: A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet.…

A: Given Radius of ferries wheel=30 feets  and wheel complete seven revolution in 14 minutes.

Q: f(x csc² 2x - x cos 2x)dx

A:

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ["C ex+y dxdy

A: Given double integral ∫1ln8∫0lny ex+y dx dy

Q: (5)  Please explain in words how a student would determine the normal vector to the direction vector…

A: explanation of determination of normal vector are as follows