6х — 8г? — 5 dx (2х — 1)(4г? + 1)

Q: Use the Theorem of Pythagoras to find the length of the line segment y = 3xfrom (1,3) to (2,6), and…

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Q: Graph the function (x – 2)² + (y + 3)² = 4 in Desmos. The points on this circle can also be…

A: Given equation of circle is x-22+y+32=4Parametric equation of given circle is x=2cosθ+2,…

Q: find the domain and Range for the following functions 1) y=/7x-4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

Q: The linear differential equation x*dy+ (2y – 3x² y– x³ \dx = 0 has the integrating factor equal .…

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Q: 2. The linear differential equation x'dy+(2y-3x'y-x' dx =0 has the integrating factor equal to -.…

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Q: 2. Integrating factors found by inspection.: y(x² – y² +1)dx– x(x² – y² – 1)dy = 0 %3D

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Q: Given f (x,y) =4e* In y with x = In(u cos t) and y = u sin t. The correct value of dz is given by…

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Q: Which of the following is the general solution to the differential equation

A: Integrating factor of the differential equation of the form dydx+P(x)y=Q(x) is given by,I.F=e∫P(x)dx

Q: sin x dx cos3 x – 8 - 8

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Q: Question Given that 0 < x < 2n, find all the solutions to the equation 8cos?x = 8cos x + 6. Provide…

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Q: Describe the graph of the equation. r = 10 sin 147 i + 10 cos 14t j O tis an ellipse in the…

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Q: The following vectors are in 3D. Write in a unit vector form and find its magnitude. а) k%3D…

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Q: 국7 +2) fromy= 0 to Find the exact arc length of the curve x = y = 7. Enter the exact answer. L =

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Q: Integrate completely

A: Solution-

Q: Show clear and detailed solutions. (a) Find the general equation of the plane n passing through the…

A: Equation of a plane parallel to a plane ax+by+cz=0 is given by, ax+by+cz+d=0 , a,b,c,d are scalars.

Q: Solve the following by linear equation of order one: dy - (x3 - 2xy) dx = 0

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Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

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Q: Find Duf at P. f(x, y) = sin(6x – 4y); P(4, 6); 4 3 i u = j JOTE: Enter the exact answer. Duf =

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Q: tan zdr

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Q: (cos 12t – cos 3t) dt 2 sin7t sin4t dt= A True (B) False

A: This question is based on indefinite integral and Trigonometric equation.

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

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Q: Find the derivative of the following functions and simply it whenever possible. 9. y = e-4x

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Q: Solve the following equation in the interval [0, 2 7). Note: Give the answer as a multiple of T. Do…

A: Given that      2(sin(t))2 - sin(t) -1 = 0

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Given the power series (x + 4)" n =0 n! Find the "Interval of Convergence" for the series. - 22 - 18…

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Q: The radius of convergence of the series Σ - (x – 2) ² is equal to ..... ... n=1 3" (2n) !

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Q: II. Solve the following problems completely. 1. Linear equation of order one: dy-(r - 2xy kdx = 0

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values off subject to the…

Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…

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Q: 1. Linear equation of order one: dy-x -2xy zx = 0

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Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: . The linear differential equation dx 2 has the integrating factor equal to_ (Note: Simplify or…

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Q: Find the general solution of the given differential equation. x²y' + xy = 2 y(x)%3D

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 65°…

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Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: the following statements is IR

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the derivative of the following functions and simply it whenever possible. 10. y = x4(1-ln x4)

A: Let's find.

Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: the solution is as follow

Q: Given the differential equation y" = 5 x2 y' Find the Implicit derivative " dy/dx" of the…

A: Given y''=5x2y' To find the derivative.

Q: Let å and b are vectors such that the angle between them (when joined tail to tail) is 0°. Describe…

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, 2) =…

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (5,…

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Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: Evaluate the iterated integral. 5 dy dx dy dx i

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Q: 1. Given the position function: s(t) = 2t – 21:2 + 60t, te[0,6], time in seconds, position in…

A: 1.Position function:s(t)=2t3-21t2+60t,  0≤t≤6A)velocity…