Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: Eliminate the constant: 3x 3x y=c₁₂e³+€₁₂€ ³ Oy"-4y+3y=0 Oy"-6y¹+9y=x Oy"+ 6y' +9y=0 Oy"-6y'+9y=0

A: Given: From the above, we see that the root of the characteristic equation will be 3, 3. So, the…

Q: Find the interval where the function, 3 f(x) = * - 4x – 2x? is increasing? O a. (-2,-1) O b. (-∞,…

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Q: 3. Consider the function h(x) = a(-2x + 1)5 – b, where a ± 0 and b # 0 are constants. A. Find h'(x)…

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Q: Obtain the largest value of x with which X 1 (y+3)dy-33 2

A: Please see the attached image for the solution. If there are queries, please do not hesitate to ask.…

Q: Find ƒx and ƒy when ƒ(x, y) = y8 + 2x6 + 2xy.

A: Given f(x,y)=y8+2x6+2xy For finding fx differentiate f(x,y) with respect to x fy differentiate…

Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: Eliminate the arbitrary constant. y=Ax 5+ Bx³ A B 7xy "- x²y + 15y = 0 D x²y '- 7xy "+15y = 0…

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Q: 9. f 6 sec¹ xdx

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Q: 12. Find m/R. (&x - 12) (3x + 5)

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Q: Uz + xuy = x²y, u ( x, 2x + = 5x

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Q: Find f if Vf = 10xy i + (5x² + 20y³) j f =

A: We have to find the function .

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: 2 D²y+y=secx²

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Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: 1 √x y³+1 2 Sőt. S²/E 0 dydx

A: We are given an integral. Our aim is to evaluate the integral ∫04∫x21y3+1dydx.

Q: dx = 2x - 1 x³+3x + C x2 +C -- 3+C 2. 6. In x +C In x +C

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Q: Find the PMF of Y = 3X − 2 for X ∼ Geo(p). specify thesupport.

A: Step 1: To find the probability mass function (PMF) of Y = 3X - 2 where X∼Geo(p), we need to derive…

Q: Find ƒx and ƒy when ƒ(x, y) = 3x2y + 2.

A: we have to find the derivative of the function f(x,y) = 3x2y + 2 w.r.t x and y

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

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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.