Determine the area of the region bounded by y = Area = || 3x x3 and y=- on the interval [1,10].

Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

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A: To determine the Maclaurin series for sin x.

Q: Sec² (x); dy = ? 15) y = Sec²(X) ; Jx A) 2 SecX B) 2 secx. Tanx D) Sec²x. Tan²x c) 2 secx. tanx E)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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Q: 7(x-3)² = 43-(y + 1)²

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Q: 2. Evaluate the indefinite integral using the substitution method. [((x+5)(z-5)) d

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Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

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Q: Find the inverse of the given matrix. ... O A. The inverse of the given matrix is A-1 = A = 6 6 -1 0…

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Q: Use variation of parameters to solve the given nonhomogeneous system. dx dt dy dt (x(t), y(t)) = 2x…

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Maclaurin series of function fx is a Taylor series of function fx at:…

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A: Solution: When two dice are rolled

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Q: Given the following vectors, calculate −7u+4v U=(2,9),V=(-8,0)

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

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A: A pair of dice is rolled.

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: (a) Find the polar representation(s) of the following point written in Cartesian coordi- nates: (x,…

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Q: Consider the following. می شود du = x²(x³ + 1)3/2 dx Let u = x³ + 1. Find du. dx Indicate how the…

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Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

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Q: Given the vectors x = (1, 2) and y = (3, -1) find the linear combination vector z = 2x + 3y

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Q: Week 16: Curvature and Radius of Curvature 3. Practice items Determine the radius of curvature of…

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Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √y+3 lim (x,y)→(9,6) x-y-3 x+y+3

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Q: Find the iterated integral. (Give an exact answer. Use symbolic notation and fractions where…

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Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

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Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 15 Figure 1 7

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Q: A curve is given parametrically by=et 2e-t, y = e2t. The tangent t the curve at t = ln 2 is...? a)…

A: Given x = et - 2e-ty = e2tat t = ln2

Q: Find the area of the shaded region. - 4x (3,15) 3

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Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

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A: "According to the guidelines issued by the company We are supposed to answer only first three…

Q: Match the general solutions to the differential equations. ✓ (D² - 18D+81)y=0 (D²+14D+49)y=0 •…

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Q: Approximate the area under the curve y=x^3 from x=1 tox=4 using a Right Endpoint approximation with…

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Q: 120 2 A sides of lengths 6,10 and 7. Find the mesure of it's largest angle to the nearest degree…

A: Since you have posted multiple questions i can do first question as per our company guidelines…