The equation z^2+y^2+x^2 = 4, represents the surface of a sphere. Using implicit differentiation, calculate ∂y/∂x(deltay/deltax) at the point [7,3,−3].

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

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Q: use the given condition to write an equation for the line in slope int form  passing through (4,8)…

A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

Q: Find the point-slope equation of the tangent line to the parametric curve given by x = 1+ 2t° and y…

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Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

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Q: Let h(x, y, z) = ln(x² + y² + z²). (a) What is the direction of maximal increase of h at the…

A: Given function:  hx,y,z=lnx2+y2+z2 To find: a) Direction of maximum of h at the 1,1,1. b) The…

Q: əz дz Use implicit differentiation to find and Әх ду дz Әх дz ду = = II x2 - y2 + z² - 42 = 3

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Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Calculate the derivative of the sine function as a function of degrees rather than radians.

A: Given- sine function. To Find- The derivative of the sine function as a function of degree rather…

Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

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Q: Explain how to use parametric equations to transform the function y = f(x).

A: Explain how to use parametric equations to transform the function y = f(x).

Q: (e) The instructor adds 4 points to the average exam score ofeveryone in the class. Describe the…

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Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: Find an equation of the curve in the xy-plane that passes through the point (2, 3) and has, at every…

A: integration

Q: Eliminate the parameter t to find a Cartesian equation of a curve. x = 1 + 3t,  y = 2-t^2

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