Find the equation of the tangent plane to z=e^y+x+x^2+1 at the point (5,0,32). z=?

Q: Find an equation for the tangent line to the level curve 3x2y – sin y + 2x = 2 at the point (1,0).…

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Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

Q: Determine the slope of the tangent line to the curve of sin(x + y) = y2cos(x)  at  the point (x,y) =…

A: Topic = Derivative

Q: The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…

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Q: The base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively,…

A: Given formula for the volume of the cone is V=πr2h3 Now, the total differential of V can be…

Q: Find the equation of tangent and normal to the curve x sin 2y = y cos 2x at 4 2

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Exercise (c) Show that y = Vx has a vertical tangent line at (0, 0). ...

A: first we will find derivative of function. So, derivative will be slope of tangent. for vertical…

Q: Which order of differentiation will calculate fxy faster: x first or y first?  a. ƒ(x, y) = x sin y…

A: The given function is,

Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: Find the equation of the tangent line to the curve y = x + 1 cos x at the point (0, 1).  y =

A: Please refer the attached image for complete solution.

Q: Find a point on the folium x3 + y3 = 3xy other than the origin at which the tangent line is…

A: Implicit differentiating both sides of the equation x3+y3=3xy with respect to x. Use power rule of…

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Q: The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use…

A: Let the length and width of a rectangle are L and W respectively. Now, The length and width of a…

Q: I Find tee e avation of tangent line of fcx) = X+) at X=2 X-3

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Q: Find the equation of the tangent line to y = ecos(x'+x) at x = 0. %3D 2x Chain Rede.

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Q: y = (c* -4x) (x++) at x = 0.

A: We can find the answer as below.

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

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Q: Find the tangent line at (1, 0) of the curve xe^y = 2 sin(xy) + cos y.

A: Slope of the tangent is given by the derivative of the function at that point. So first we will find…

Q: Find the slope of the tangent line to the curve 2 sin(z) + 5 cos(y) – 4 sin(z) cos(y) + z = 7m at…

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Q: 5. Find the equation of the tangent plane of sin(xyz) = x + 2 y + 3z at the point (2, -1, 0).

A: We have given the surface X,Y,Z at the point (2,-1,0). We have to find the equation of the tangent…

Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

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Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm

Q: What is the equation of the tangent line to the function y = e-* - arcsin) x+1 2. at x= 0 ? A) y-…

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Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: find an equation of the tangent line at the point specified. y = ex cos x, x = 0

A: Given- y=excosx To Find- An equation of the tangent to the above curve at the point x=0.

Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

A: The radius of a circular disk is measured as 24cm with a maximum error of 0.2 cm.

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find the equation of the tangent to y-cos 2x at the point 0. Oal y--2- Ob) y- 2x+ O) y--+1 O d)…

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Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

Q: Find the equation of tangent line of function ²+ arctan y = y-1 at point(-t, 1).

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Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

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Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: The slope of the tangent line to a curve at any point is (5x² - y) ex+y If the curve passes thru…

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Q: Find the slope of the tangent line to the curve 5 sin(x) + 5 cos(y) – 6 sin(x) cos(y) + x = 6T at…

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Q: Determine the equation of the tangent to the curve y = sinx +cos(2x) at the point 6. 1) Py-1= -(--3)…

A: First I have written the formula of tangent line to the curve at a point , just use that formula for…

Q: Find an equation of the tangent line at the point specified. y = ex cos x, x = 0

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Q: 15 /(х. у) 2гу-Зх, Р % (2, 1), - (3,2)

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Q: Find the slope of the tangent line to the curve 5 sin(z) + 4 cos(y)- 5 sin(z) cos(y) + z = 3x at the…

A: Consider the curve  5sinx+4cosy−5sinxcosy+x=3π

Q: The slope of the tangent line to the graph of xy = In(x² + y²) at the point (1, 0) is

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the tangent line approximation for v3 + x near x = 4. V

A: Find the derivative and then substitute the points to get the tangent line equation.

Q: Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point G, 2)

A: Let's find equation of tangent line.

Q: tangent

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Q: Calculate the gradient of the tangent line to the curve y3 - x3 -xy = 1at the point (-1,0).

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Q: Find the gradient of the tangent line to the curve x² + y =10 at x=1, where y > 0. %3D

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