Question 1 Find the value of dy/dx when x= 12.91 and Y3D4.93 for the given equation. y +3y-3x°-5= 0 Write your answer up to two decimal places.

Q: Question 9 Determine the value of: xeª dx O 1/e e 2/e 1

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Q: QUESTION 7 By using completing the square | dx can be written as 4 + 2x + x? dx 4 + (x +2)² dx V5+…

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Q: cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

A: Here we have been given the integral  ∫02cosx-1xdx

Q: Question 6: Determine the equation is exact and solve ((+ 2x) dx + G+ 2y) dy = 0

A: The necessary and sufficient condition that Mdx+Ndy=0 be exact is ∂M∂y=∂N∂x

Q: QUESTION 6 A bottle of juice with a temperature of 95 F was taken off a shelf and placed in a…

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Q: Question 6 a) Given that y = 2x – x? + 3 i) dy Find dx d?y Find dx? ii) iii) Hence, solve the…

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Q: Question # 1: (a) If = y+ 3 and y(0)=2, then find y(ln2) (b) Evaluate f 1 dx (sinx+cosx)2

A: Explanation of the solution is given below....

Q: Question 2 Find dy at x=0 for each part below. dx x sec (ax+) a) (here the answer should be in terms…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you. If you…

Q: 5. (x + 2y - 1) dx - ( 2x + y-5 :) dy = 0

A: Let's find.

Q: Question 18 ▼ Two cars are moving towards an intersection. One car is 150 meters north of the…

A: To solve this problem, we have to establish a geometric relationship between the cars and using…

Q: CONFIDENTIAL QUESTION 1 of the function y=- dx 4 sin (x*) -2x +6 (a) Find by using quotient rule.

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Q: Question 2 Test the exactness of the following equation then solve the equation: (y In y) dx + (x –…

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Q: Question 2 Consider the equation 3xy + y? – 2x = 1. Find dy - dx Зу— 2 За + 2у - O 2– 3y 3x + 2y Зу…

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Q: Question 25 Find dy/dx if y = 52x-1 A 52x-1 In 5 52x-1 In 25 C) 52x-1 In 10 52x-1 In 2

A: The given function y=52x-1

Q: 1. cos? 2t dt

A: Given query is to eveluate the integral.

Q: Question 5 - The displacement x cm of a piston in a machine, at time t seconds, is given by: x =…

A: Given query is to find the velocity after 2 second.

Q: Question 4 Solve y at x = pi/3. cotx dy/dx = 1 - 2y, y(pi/4) = 1 0.75

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Q: Question 4 dy Find if X= In(sint) , y=1+cost when t = t/6 dx2 A) -26 B -27 -28 (D -25

A: Check your options.

Q: Question 6 Find the solution. (x+e')dy– dx =0 A y=ce' + xe" B x=ce' + ye' © y=ce*+ye' D x=ce" + ye"

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

Q: Question 2 Test the exactness of the following equation then solve the equation: y In(y) dx + (x –…

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Q: Question 4 Find the solution. ,dy 2- y?=2xy dx (A 2x -2 B

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Q: dy = ( x - 3y)dx

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Q: 1 tegral 2-2 dx eq" others

A: We have to choose the correct option according to the given information

Q: Question 2: The velocity of a dragster t sec after leaving the starting line is 100te -0.2t ft/sec.…

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: 2) Graph a typical solution curve. dy ye' – 9y - dx e

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Q: QUESTION 1 Find ay/dx?- X = t + sint, y = t- cost

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Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

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Q: (y In y – e-") dx + + x In y) dy = 0

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Q: Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters),…

A: We will find dP/dt at t =18

Q: 2ах — х e la dx Use gamma or beta laws

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Q: QUESTION 1 dy (a) Determine dx of the following function sinhx x+y = V1+cosh x po.s 5x+3 -dx. Give…

A: The given problem is to find the derivative of given function and evaluate the following integral…

Q: QUESTION 2 Find Y for the equation y = cosh(2x)tanh x+ xp

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Q: QUESTION 3 A spherical balloon is being inflated at the rate of 7 cm³ /sec. Determine the rate at…

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Q: xy = 2

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

Q: | (1+2x) e#dx

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: Question 24 Find dy/dx if y = evx (A evx/2x B (c) ©e*//x D evx-2Vx

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Q: 0.1. Solve the following equations by using undetermined method: d*y d'y +16 y =0 +8- dx dx?

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Q: (5+In 3x)* dx if the curve passes through g) Find the equation of the curve for which dyldx = 4x 45

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Question 18 > Two cars are moving towards an intersection. One car is 170 meters north of the…

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Q: QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

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Q: Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters),…

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Q: dy - (1 + л)у — ху" dx

A: we have to solve the given differential equation

Q: dx -(I+ 2x tany) ay co

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Q: dy +y = 12 e?Xy dx %3D12€

A: Bernoulli's equation: A differential equation of the form dydx+Pxy=Qxyn for all natural numbers n.…

Q: Question 3 Given the equation of the curve x² +y² – 4xy = -3, find dy (a) dx dy (b) the y-…

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Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.