a y =Va? - x? is equal to 2 The arc length of the curve

Q: The radius of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of change…

A: Area of circle having radius r is given by:     A=πr2Given rate of change of radius=drdt=4cm/minRate…

Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

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Q: Ronnie used a golden string to hang a huge circular light ball in the middle of their living room.…

A: Line joining from center of circle to point of contact of tangent is perpendicular to the tangent…

Q: If x is the length of a tangent segment in the diagram,find the values of x and y.

A: We know that,  tangent-secant theorem describes if a tangent segment and a secant segment are drawn…

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: What is the tangent line to when x = 4.2? y = x 4.7√x

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Q: A TV camera is situated 100 m from the site of the Endeavour launch The rocket's elevation t seconds…

A: Given: Distance between TV camera and Endeavour launch is 100 m. Rocket's elevation after t second…

Q: The slope of the curve when x=e is y = (In 2x)?

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Q: Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165…

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Q: f(t) = 80 + 30t - 4,5t velocity m/s speed m/s

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Q: Find the slope of the tangent line to the curve - 322 + 2xy – 3y° - 88 at the point (– 4, 2).

A: The given curve -3x2+2xy-3y3=-88 at the point (-4,2)

Q: gen separated by a comma without space. Blank 1

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Q: Sketch x = 1/y.

A: Sketch.x=1y

Q: A television camera at ground level is 2000 ft away form a launching pad of a space rocket that is…

A:

Q: Find the tangent to y=x- 3Dx-x+13 at x=D4.

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.