The sum of mABand mBC'is equal to A

Q: piece of wire of length 60 cm is cut, and the resulting two pieces are formed to make a circle and a…

A: Let the length of square is x. Then each side of the square will be x4. The circumference of the…

Q: An equilateral triangle has a perimeter of 12 cm. By joining the midpoints of its sides with the…

A: Given : An equilateral triangle has a perimeter of 12 cm. By joining the midpoints of its sides with…

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: Given:

Q: Boundany condition

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

Q: How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

A:

Q: to Rind Je 2. use Series 2 - 4 X

A: Rearrange the given expression.

Q: A wire of length 12 m is divided into two pieces and the pieces are bent into a square and a circle.…

A: Let the circle will have x m and the square will have (12-x) m So the circumference of the circle =…

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

Q: An open top box will be prepared by removing squares from each corner of the piece of cardboard with…

A: Let x be the side of square Then remaining dimensions of cuboid for volume is  We known,  Length =…

Q: The hypotenuese of an isosceles right triangle is 9 inches. The midpoints of its sides are connected…

A: Given: In isosceles right-angled triangle, hypotenuse is 9 inches and the midpoint of each sides…

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: What is ll = ( as")* %3D X= ()3....) where Kn=2"2 %3D

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Q: An open-topped box is constructed from a rectangula piece piece of cardboard that is twice as long…

A: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: what least number must be added to each of the number 6,15,20 and 43 so that the resulting numbers…

A:

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: Use integration fia(4s + 1)ds

A: Given that: ∫ln (4s+1).ds

Q: 17) Which describes how the area of a triangle will change if the dimensions are all enlarged by a…

A:

Q: A wire of length L is available for making a circle and a square. How should the wire be divided…

A: In the question we have to find the length of wire where it should be divided to maximize the area…

Q: A cardboard box with a square base and an open top is to be constructed from a square of cardboard…

A: The schematic representation is shown below. Since the box is open at the top, the volume of the…

Q: A media personality argues that global temperatures are not rising, because every year and increase…

A:

Q: An arbitrary point P is chosen on side BC of triangle ABC and perpendiculars PU and PV are drawn…

A: Given triangle ABC,

Q: own would be very appr

A: Given,population mean (µ) = 268sample mean (x̄)  = 262.9population standard deviation (σ) =…

Q: (2x³ + 5x-4) dx

A: Solved below.

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: A large cube is formed from the material obtained by melting three smaller cubes of 3, 2 and 1 cm…

A:

Q: State Green’s Theorem

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Q: A pizza is being divided into three unequal slices (sectors). The largest slice has an arc measuring…

A: An Arc of a circle is any portion of the circumstance of the circle.…

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: O Find Valume bounded by %3D

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Q: is Flaiy)= integrahing an 2

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Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

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Q: Find the total rebound distance of a ball that is dropped from a height of 7 m, with each rebounds…

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Q: Use (3) from Section 5.4 to evaluate the integral: -7/9 dx %3D 4.

A: Given integration is : ∫47x-79dx To find the value of integration.

Q: (a) An open top box will be prepared by removing squares from each corner of the piece of cardboard…

A: Sides of the cardboard is 45 cm and 24 cm. Let the squares of side x cm be removed from each corner…

Q: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

A:

Q: Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is…

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Q: According to Cavalieri’s sensible how would you compare the volumes of the stack of coins?

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Q: How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

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Q: A Normal window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the…

A:

Q: Prove that -mX 2mL -2 mL Cosh mL

A: The solution of the problem is given in the next step.

Q: Under what cirmcustances is the definitional formula easy to use

A: The definition of a statistical concept in formal verb.  For instance, the definitional variance…

Q: Please some de intgeadi %3D Vzx+3

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Q: Integrate by parts S xsin2xdx.

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Q: What is the number of derangements D4 of the set {1, 2, 3, 4}? (Give the exact

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Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

Q: Suppose that mZT does not equal mU.

A:

Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: Obtain ez in rec tangular for m Iti

A:

Q: rectangle is to be inscribed inside a right triangle that has legs of 3 cm and 4 cm lengths.…

A: Area of rectangle= length×width For the maximum area will occur when the derivative of the area is…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.