Sketch the region whose area is given by the definite integral. '5 (5 |x - 5|) dx

Q: Integrate: 6 4 / ( 62² + 5 = = 2 + + 7/12 - 02/1) dz - dx I + C

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: III. Evaluate 4 - x -dx. V16 – x2

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Q: Find the equation bounded by x = 9yeY and x = 3y2, y = 3 and y = 9 %3D %3D Write your answer in two…

A: solution is given below

Q: how did you calculateb the boundaries of the integrals ?

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Q: How is derivatives utilized in solving for the dimensions and total area of a box?

A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.

Q: please please type by computer. What are some of the benefits of being able to change the order of…

A: Answer

Q: There is a line through the origin that divides the region bounded by the parabola y = 8x- 32 and…

A: Here we have to calculate the slope of the line  It can be calculated by finding the area and then…

Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…

A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…

Q: 1 0 / x4 + 5x² + 4) ² Solve using residues. dx Poh

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Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

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Q: PART II: What is the area bounded by the curve y² = x and the line x - 4 = 0?

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Q: (2x3-x²+2x-2 dx -2 (х2-2х+2) х

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Q: box. The dimensions of a closed rectangular box are measured as 90 centimeters, 50 centimeters, and…

A: Given that :The dimensions of a closed rectangular box are measured as 90 centimeters, 50…

Q: Review: A point of (2, 5) is translated 2 units right, 4 units up then reflected across thex axis…

A: Consider the given information. x,y=2,5 First the point is translated to 2 units right.

Q: Give an example showing how to use rectangles to estimate the area under a curve.  Then use…

A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: area bounded by f(x) = 9x² – 2x + 1, the x-axis, x = -2 and x = 1

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Q: @ Use 3 rectangles wl left end pints to approximate the integral.

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Q: Cak16 area Find the sucface f revolution for enx 23 for Isx<2 about the y-axis a be

A: To find the surface area of revolution of the below curve from x = 1 to x = 2 about the y-axis.…

Q: please integrate using trigo substitution: ∫x/sqrt(3-2x-x^2)dx please provide complete solution

A: Given that a integration and we solve this integration by using general property of integral.   We…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.