Determine whether the series is convergent or divergent.write the lexact test that you Use. Sin ( Iニu

Q: Question 1 Find the coordinates of the centroid of the solid generated when region bounded by x? + y...

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Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

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Q: a) Show that u and v are orthogonal. b) Find the value of a for which w is orthogonal to v c) Find p...

A: Given, u=1,-2,6,v=2,-5,-2 and w=a,2,-1 We have to find projvu and  projwu.  

Q: Convert V21 + i/7 into polar form 8. 47 Convert 2 +i sin 3 to rectangular form.

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Q: -f xy + a3 (1

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Q: Since our equation will always be equal to zero, we will automatically move the V2 term to the right...

A: We have -i-11-iV1V2 = 00

Q: 1-Convert from degrees to radians, in exact form. а-85° b- 395° c-(-120°) 2 Copvert oach angle from ...

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Q: 8. y" – 4y' + 4y = 0, y(0) = 1 e y'(0) = 1. %3D %3D %3D

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Q: Find the volume generated by revolving the area bounded by x2 – 4x – 4y + 4 = 0 and y = 1 about the ...

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Q: (Practice Hint: Use the Line Guide tool to keep your place. Drag the blue handle on the right as you...

A: A rectangle has four sides and the measure of each angle is 900. A right-triangle has 3 sides and th...

Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

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

Q: fhe coefpicient an fiderivative what? rin (2x ) in the fre of of F (A CoS is ン

A: We have to find the coefficient of sin 2x for given problem.

Q: by3 | (3b? – x²)(1 - x³V3)/3b² – x² dx

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Q: • Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e*/2, _ a) Determine the form of a p...

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Q: 2x1 - 6х2 — х3 %3D —38 x3 = -38 — 3x1 — х2 + 7х3 — — 34 —8x1 + х2 — 2х3 %3 — 20

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Q: 3. How many integer solutions are there to the equa- tion X1 + x2 + x3 = 9, with x; > 0? How many so...

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Q: frwmed whon ffx)– 2. A-z between -1 and 0 is rotated . d the mpute the surface area of example 9.10....

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Q: 1. Solve the given IVP: у(@ + 8у" + 16у %3D 0; у(0) 3 — 1, У (0) %3 5, у"(0) — —8, у" (0) — — 28.

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Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1 X...

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Q: Find J Ta-xdx

A: Given integral is ∫x1−x23dx. We have to solve the given integral. Substitute 1−x2=u ⇒−2xdx=du⇒xdx=−1...

Q: :by a batter when it is 3 feet off the ground. Its height off th + 80t +3, where h is in feet and t ...

A: Given, Batter hits the softball when it is 3 feet off the ground. The function of height off ground ...

Q: A parametrization of all the points on the sphere a + y² + z? = 1 that are such that y > 0 is given ...

A: Find the parametrization of points on sphere x2+y2+z2=1, where y≥0. The equation x2+y2+z2=12 represe...

Q: Determine if the given series converges conditionally or converges absolutely or diverges. (b) Č V3n...

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Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

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Q: Let A = {x | 5x + 1 E Q} and B be the set of all even integers. Prove that A and B have the same car...

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Q: Winter Temperature The temperature T in degrees Fahrenheit on a cold night x hours past midnight can...

A: 133. T(0) = 03 - 6.02 + 8.0 = 0          T(4) = 43 - 6.42 + 8.4 = 0     Therefore, T(0) = T(4)      ...

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none ...

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Q: + z2 x for all (x, y, z j+ k, then the dz ▼ f) at (1, 1, 1) is

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: Root test: series and sequences

Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

A: We have to find the volume revolving around y=-2.

Q: Q3

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Q: Use the method of Variation of Parameters to solve the following DE: у" — у %3D2х2 —х— 3.

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Q: A lease valued at $40,000 requires payments of $5000 every three months. If the first payment is due...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: A point in the complex plane with both coordinates rational is called a rational point. The set of r...

A: Please find the answer in next step

Q: 10z2 - Find the volume of the solid obtained by rotating about the y-axis the region bounded by y an...

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Q: y' + 0.2y = 0, y(0) = 5, h = 0.2 %3D 4.0822 4.0832 4.0951 4.0936

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Q: Given f(x)= -x +2x* -3x + x? -4x + 5. Use Horner's algorithm to compute a. f(-2) b. f(x)/(x+2) C. Ho...

A: (a) We have f(x) = -x6+2x5-3x3+x2-4x+5, and we can rearrange this as f(x) = 5-4x+x2-3x3+2x5-x6

Q: Determine the surface area generated when a portion of the curve in the first quadrant of 4 y2 = 4 +...

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Q: Sketch the graph of the given function. Check your sketch using technology. g(x) = 2x3 − 6x, domain ...

A: The function g(x)=2x3-6x in [-4, 4] looks like this

Q: Mr. Reyes borrowed P125,000 at 5% rate of interest for 4 years. What percent greater is the amount p...

A: Solution

Q: Use Lagrange multipliers to find all points on the cone z2 = x² + y² that are closest to the point (...

A: The complete solutions are given below

Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

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Q: Evaluate using relaxation method. Tolerance is < 0.0001 Evaluate for the unknown variables -1 = X, +...

A: To find the solution of the system of linear equations by the relaxation method, apply the following...

Q: Suppose you are cooling a hot extract in a 24°C process room. The temperature of the extract right w...

A: 66.9 deg.C

Q: A radioactive substance has a half-life of 29 years. What percent remains 80 years after being expos...

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Q: Let vị = (3,2,-2) and v2 (2,–1,–1). Which of the following vectors are in span{v1,v2}? (i) (1,3,0) (...

A: A vector u is said to be in span{v1, v2} we can can find some real values a and b such that we can w...

Q: If the differential equation corresponding to the family of curves y = (a + bx) e3x is given by dy =...

A: The given differential equation is d2ydx2=adydx+by....(1) Now, y=a+bxe3x is a solution to the differ...

Q: If L{f(t)} = F(s) 3(s+3) and f(0.5) is s2+6s+8 e + 1 e2 (). given by K( : then find the value of K

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Q: Using Improved Euler's method, Solve for y(1.5). y' = (1-x-1)y y(1) = 1 h = 0.1

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