Solve for the side length z given that x = 5, y = 7, and A = 114'.

Q: Find a solution to the euler equation, from : rx2 (2? – y/²)dx

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Q: Find the length of the spiral r=θ for 0≤θ≤4

A: Use the formula for the arc length then standard integral then simplify the result.

Q: If a spherical propane tank is filled 80% of its capacity. How many gallons of propane does the tank…

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Q: In AXYZ, the measure of ZZ=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of…

A: Given: In △XYZ, m∠Z=90°YX=97XZ=65ZY=72 To find: What ratio represents the tangent of ∠Y?

Q: A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that…

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Q: Solve the attached equations  by the method of undeterminedcoefficients.

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Q: 1. y+13 dy-

A: the given integral is ∫y+13y+1y+3y-2dy Substitute  u=y-2→y=u+2du=dy the integral reduces to…

Q: A hollow conical piece is to be fabricated using a metal sheet. The diameter of the cone’s base is…

A: Given : A hollow conical piece is to be fabricated using a metal sheet. The diameter (d) of the…

Q: If a spherical tank 4 m in diameter can be filled with a liquid for $250, find the cost to fill a…

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Q: An engineer takes a large number of independent measurements of the length of a component and…

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Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: how that the circumference of the circle x² + y² = r² is 2πr. (Solve using the arc length formula.)

A: Use the arc length formula to prove the given statement. Arc length =1+dydx2

Q: Find the length of the equiangular spiral r = e° for 0 < 0 < . L =

A: Find the derivative r' with respect to θ. r=eθ for 0≤θ≤15π10a=0 , b=15π10r'=ddθeθ=eθ

Q: Find a formula C(x,y,z) that gives the cost materials for the closed rectangular box, with…

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Q: The diameter of a metallic sphere is 6 cm .The sphere is melted and drawn into a wire uniform cross…

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Q: Now, we can say that the work done in stretching the spring 15 in. = X ft beyond its natural length…

A: Convert the length 9 inch to feet. Then use the Hooke’s Law to calculate the value for k.

Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

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Q: A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up…

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Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

A: See the attachment

Q: Find the measure of arc JL. Round to the nearest degree. (4x – 2) (7x-18)° K . (6x+6)°

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Q: +y²)dx + (x² – y²)dy where C is the triangle with vertices (0,0), (2,1) and (0,1).

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Q: Find the length of the spiral r = eθ/√2 from θ = 0 to θ = π.

A: Given Differentiating r with respect to thita ,we get

Q: How much energy must be given to the satellite if r = 12 000 km?

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Q: 2) Find the length of the spiral: r = 0² from 0 = 0 to 0 = V5?

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Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

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Q: By completing the square, the integral 1 Sa- (x-3)√4x²-24x + 20 is equal to dx

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Q: The length of a rectangular garden is 4 ft longer than its width. The garden has a wall along one…

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Q: 4. In the given circle 0, OC 1 AB. If AD = (4x + 9) cm and (Sx+2) cm. What is AB? BD = Solution and…

A: Topic:- circle peroprties

Q: What is the area of the largest triangle in the first quadrant with two sides on the axes and the…

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Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking h = 0.5, 3 the value…

A: Given integral: ∫36x2dx h=0.5 To find: the value of N=?? [no.of sub-intervals]

Q: Solve for the explicit solution, y = ¢(x), to the following IVP and determine its existence…

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Q: n the given question as follow, find the work done in pumping gasoline that weighs 42 pounds per…

A: We need following equations to find the required work done :               W = ∫ab F dx ..... (1)…

Q: Find the length of the spiral r = O for 0 < 0 < 4. %3D Answer :

A: Given : Polar function for a spiral r = θ and interval 0≤θ≤4   To find : Length of the spiral for…

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: What is the radius of the given contour |z + 2i| = 8 + 7, 0 s 0 s 2n ?

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Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: Given: f(x,y) = x³y – y cosh x" Solve for D132

A: Given:                   fx,y=x3y-coshxy To find: The value of the partial derivative D132.

Q: 7. Which is closest to the perimeter of Figure RSTU S 234 OA 8+v26 О в. 18 OC. 20 O D. 8+2/26

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Q: The value of [xe*dx by using the three-segment trapezoidal rule is most nearly

A: by trapezoidal rule

Q: The volume V of a cylinder of height 4 cm and radius r is given by: V = 4ar? What is the…

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Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

A: It takes twice as much work to stretch a certain spring from 9 to 10 in., as itdoes to stretch it…

Q: Compare the Trapezoidal rule and Simpson's rule app 4 x sin x dx

A: Given: An integral ∫0π4xsinx dx. To find: Bound for the error using the formula for each rule and…

Q: Find the length of the cardioid r = 1 + sinθ

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Q: A spherical container with a radius of 2m was holding water at a depth of 1.5m. How many cu.m of…

A: Given that, Radius of spherical container is (r) = 2 m Depth of the water is (h) = 1.5 m We have to…

Q: the area of a plane shape is given by A=(10x -2)cm². the area is not greater or equal to 12cm². it…

A: Please refer to the image below

Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: What is the radius of the given contour C : |z + 2i| = 7+ 4, 0 < 0 s 2n ?

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Q: A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m.…

A: Given Data- Length of swimming pool = 28 m Breadth of swimming pool = 13 m Depth of swimming pool =…