What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

Q: Jx In x dx S x

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Q: Find the equations of the horizontal and vertical Tangents a. 25x2 + 200x + 16y2 - 160y + 400

A: a.The given equation is: 25x2+200x+16y2-160y+400=0 Rewrite the equation in standard form:…

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: Give a solution to the system -Lis -10. 2 3 - 15 ¤(0) by solving the IVP with initial condition…

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Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: Solve the triangle. Round your answers to the nearest tenth. a = 23, c= 27, b= 24 mLA = 53.2°, mZB =…

A: The Cosine rule: a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=a2+b2-2abcosC Given: a=23, b=24, c=27

Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 30 miles…

A: Let's find.

Q: If the characteristic equation of the differential equation y"+2y'-3y = 0 is m² + 2m – 3 = 0, then…

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Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: Decompose v into two vectors Vị and v2, where vi is parallel to w and v2 is orthogonal to w. v - -2i…

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Q: Find the equation of the tangent line at the given value of x on the curve. 3 4 2y° + xy - y =…

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Q: - dx. 3. Evaluate J9x -16 C) 271n|9x° +16 +C D) In px" +16 +C A) 27In|9x° -16 +C B) Inpx° -16| +C 27…

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Q: f(x) = (6 – x) | g'(x) and h'(x). ) = the Product Rule to find the derivative of f(x). II

A: Topic:- derivatives

Q: Given mZC = 129°, c = 29, 6= 32. How many possible triangles, AABC, exist? Not enough information No…

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Q: x sin(2x2)dx

A: We have to find the integral.

Q: dy ly

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Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: Find y'' of x⁵ - y⁵ = 1.

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Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: To find out the riemann left sum and right sum and also sketch the graph.

Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: 2x2 + x + 3 -dx x3 + x In|x| + In (x² + 1) + tan-1(x) + C In|x| – ; in (x² + 1) + tan '(x) + C…

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Q: For y = arccot(7 e*) dy da

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Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

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Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: 3u' = - 3x + 5y Solve the system of differential equations x' 2х + Оy l y' = 3x + 5y - x(0) = 3,…

A: We solve here given differential equations and find the value X(t) and Y(t).     Here i attached the…

Q: 8x2 – x + 8 x(x² + 4) G) + 1 2 In x + 6 In (x² + 4) – ; Arctan () + 4 In x + 3 In (x² + 4) – ;…

A: Topic:- application of integration

Q: dr Vr – 9 3

A: We can find the integration as below.

Q: Write the general equation of a line perpendicular to 12x-5y+60=0 and passes through (1,-2).

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Q: cos³ 4y /sin 4y dy

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Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

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Q: x + 4 (x + 3)(x + 1)(x² – 4) -

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Q: Solve 4 2 x(0) = 6, y(0) = 17 || 13 2 +

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Q: For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the…

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a particular question. This…

Q: Problem 4 Solve x Iпy lnx dy + dx

A:

Q: For each of the following problems differentiate the given funct h(w) = w² – 3sinh (w) g(x) = cos(x)…

A: We have to find the derivative

Q: Determine if the infinite series is convergent or divergent. (-1)"2"+1 n! n = 0

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Q: 7. Evaluate sin xcos x dx. cos* x +C 4 1 C) 4 sin* x A) +C 1 sin* x B) 4 cos* x +C D) +C 4 a O c O d

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Q: - Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. Evaluate cos 0 if sin 0 = -1/4 and 0 is in…

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Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: 1 S dx x In x In In x In In In x

A: We need to solve integral.

Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x2 -9 a. lim f(x) b. lim…

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