If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the points where F, # 0, the following equations are true. Fx Fy dz and ду dz = - = - Fz Fz Use these equations to find the values of dz / dx and dz/ dy at the given point. 2z3 - 5xy + 3yz + 2y3 - 178 = 0, (2,4,3) dz (Type an integer or a simplified fraction.) | (2,4,3) dz (Type an integer or a simplified fraction.) dy (2,4,3)

Q: If y is a differentiable function of x and x^3 + 2y^3x^2=8y^2 Then find dy/dx

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A: Solution...

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A: Let us assume f(x,y,z)=x2+3y2+5z2=k Assume that k≠0 x2+3y2+5z2=k Divide both sides by k,…

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Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify…

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Q: II. Find the acute angle between the given curves. 1. y'=2x^4x+4y'+5 y=0 2. x'y+4a y=8a°nx²=4 ay 3.…

A: As per bartleby guidelines we only give first question answers.

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Q: If the equation F(x.y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: 10. If the curves f(x, y) = 0, y, z) = 0 touch, show that at the point of contact, dr dø dr dø dy dx…

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

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Q: Let f(x,y) be a differentiable function satisfying the equation df af = xy. ду Əx af and ds af After…

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Q: If the equation F(x,y.z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: dy 6. If y is a differentiable function of x and r + 2y3 x² = 8y?, then find dr

A: This question is based on diffrentiation chain rule.

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A: Since you have asked multiple questions, we will solve the first question for you. The other…

Q: If the equation F(x.y.z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: 6. If y is a differentiable function of r and 24 + 2y5³ 5y2, then find - dy da

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Q: 1. For the function f(x, y) = In root (2 + xy), find the equation of the tangent plane at the point…

A: Note: As per the guidelines we are supposed to answer only one question because this is not a…

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A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

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Q: If the equation F(x.y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.