Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

Q: Find fx, fy, Tz (3x2 + y2 + 2z²) f(x,y,z) = e - fx=

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Q: 13. y = x'/9, 0 sxs 2; x-axis

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: Find the general solution of y' = y secx

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Q: The Corona Virus, that started to spread in many countries in early 2020, is more contagious than…

A: It is given that: Infection rate = 10 to 25 people per million (PPM) Mortality rate = 1000 to 2500…

Q: Find y': y=- Vx* + 4

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Q: Obtain the general solution using variation of parameters y''+y = (csc³x) (cotx)

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Q: Sv-4 - y-3) dy

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Q: Find the constants a and b that maximize the value of -x²) dx. (a, b) =

A: ∫ab(1-x2)dx

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

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Q: Differentiate y = sec (x^2 + 2) *

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Q: Solve using variation of parameters

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Q: find the general equation of : x^3dy+xydx=x^2dy+2ydx  ;y=e when x=2

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Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

A:

Q: A semi-circular pool with a diameter of 25ft and a depth of 7ft has a small leak at the bottom. The…

A: Ok, assume pool to be full with water initially,    So, initial water level = 7 ft. = 7*12 inches…

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: z· 3°dz

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Q: (D5+ D4-7D3³ - 11D²8D-12)y = 0

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

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Q: (y + 5 y³) dx

A: To differentiate(1y2-3y4)(y+5y3)

Q: Solve using D-Operator 3. y + 2y + y = x²

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Q: G of value raph using tables Y=Dx²-9

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Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

A: Let number of students infected at time t be x  Then, number of healthy students at time t = (1000 -…

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: lax +3y-5) dx + (3x-y -

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Q: Find for the equation below. dx 6x2 - xy- y' = 6

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Q: y = sec* ( Vsin(2t)) sec³ 3.

A: The objective is to find the derivative.

Q: tion: y" – 3y' = e3 – 18x. - -

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Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

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Q: d³y of y = (3x*-5)(2x³+9x-6) Determine the %3D dx3 7x5

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Q: S sec 2ydy

A: Topic:- integration

Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: 8.) Find of y3 = x* + 3x d?y dx2

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Q: ek. che line of best fit is y=-0.4x+ 6.92. ent Time spent -x exercising, y s) (in hours) 10- 6.58 8.…

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Q: 11. Perpendicular to 5y = 2x – 6 and passes through the point (-1, 5)

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Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

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Q: Calculate dx2 y = e-X + ex

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Q: Find the complete solution: 16) = x2 – 2x – 4, y= -6 when x= 3 | dx

A: ∫xn dx = xn+1n+1+C

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Find of y' (y-x)° = y² – x² dx

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Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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Q: ationalize the d V49

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A: Given  5p2 - 2x2 = 27 where p is the price of a certain commodity in dollars per unit x is the…

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

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Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

Q: Evaluate S. (x – y)dx + xydx where C is the y = 2x2 – 1 from the point (-1,1) to the point (2,7).

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.