H.W find the first four terms of the binomial series for the functions:- 4-(1+¹)¹/² 5-(1+x)* 6-(1-2x)³

Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

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Q: show that V(x, y) = x 'f (2x+y) is the general Solution of av X du 2X 1 = V ду dax

A: Explanation of the answer is as follows

Q: swers: i i Mi 0 0 O

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Q: 6. Determine a, b, c and d so that the curve y = ax3 + bx2 + cx + d so that the curve will have a…

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: Solve the given differential equation. All solutions should be found. dy x³-8y dx x NOTE: Use c for…

A: The given first-order differential equation is: dydx=x3-8yx⇒dydx=x2-8xy⇒dydx+8xy=x2...(1)

Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: Given: ∫154xdx Solution: X 1 2 3 4 5 y=4x 4 22 43 2 45 h=1y0=4y1=22y2=43y3=2y4=45

Q: Relative

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Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: Find the solution of the given initial value problem. ty' +4y=t²-t+7, y(1) = 4, t>0 y =

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Q: Expand the function +6x in a power series anx" with center c = 0. Find anx". n=0 (Express numbers in…

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Q: Find the solution of the given initial value problem. ty+3y=t²t+5, y(1) = 2, t> 0 11

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

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Q: Consider the parametric curve: X = sin² (t) y = -9t Which integral gives the arc length of the curve…

A: Topic = Integration

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = -9, f(x) = +...…

A: Topic = Series

Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2e5t sinh(7t) — t8…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

A: Simplifying (5y4 + 2x3y) * dx + -1(4xy3 + x4) * dy = 0 Reorder the terms: (2x3y + 5y4) * dx +…

Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: DIFFERENTIATE THE FUNCTIONS BELOW 3 x 8x %2 2 E (۶) ز د (ع) (1 = - Dx +

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Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

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Q: A solid is formed in the first octant bounded by the plane z = 6 - x - y and the cylinder 4 - x².…

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Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: Determine the roots of y"" - 4y" + 3y = 0

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Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: 10) y7 exbx

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Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: X 0 1 23 4 5 6 f(x) 4 -202 1 -4 11 3 -3 1 74-2 f'(x) 6 g(x) 3 15-2 1 10 g'(x) −1 −5 23 4 -1 6 a) !…

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Q: 15. Evaluate [sin50 cos²0de. COS

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Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

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Q: an+1 Suppose that an ∞ Σ απ( – 81)" man n=1 →1 as n→ ∞o. Find the radius of convergence.

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Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve 2…

A: The answer is given below:

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

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Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A: This question is about finding domain & range of a logarithm function.  Which we can find as

Q: 5. Use Cartesian coordinates to evaluate [[["² y² dV where D is the tetrahedron in the first octant…

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Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

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Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

Q: 1. The simple interest charged on a 60-day loan of Php 8,400.00 is Php 119. Find the simple interest…

A: Use simple interest formula

Q: Payroll Rules: ALL HOURS UP TO 35 HOURS PER WEEK PAID AT HOURLY RATE. ALL HOURS OVER 35 HOURS PER…

A: Juan paulo :-  Standard pay = 35*15 = 525  O. Pay = 5*15*1.5 = 112.5  Bonus = 0.05*(22000 - 10000) =…

Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0

Q: Function h is graphed. h -4 -3 -2 L y 4 3+ 2- 1 -1- -2+ -3- 12 3 4 Find h(2) da. Give an exact…

A: This question can be solved using the concept of area under curve.

Q: π ← r = 2 sin(0) ㅠ 1 → 0 2 r = 2 cos (0) π Determine the exact length of the perimeter of the region…

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Q: Find the solution of the given initial value problem in explicit form. π sin(2x) dx + cos(9y) dy =…

A: Given: Now,                sin(2x)dx+cos(9y)dy=0Integrating both sides we…

Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 O O x³ and y = 4x.

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) : =…

A: Given,dydx=(1-13x)y2                     y(0)=-16

Q: dy Solve the differential equation. X dx = y + x³ + 3x² -2 x

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Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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