段階的に解決し、 人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DONT USE CHATGPT A For Exercises 1-6, find the equation of the tangent plane to the surface z = f(x,y) at the point P. 1.f(x,y)=x2+y, P = (1,1,2) 3. f(x,y)=x^y,P=(−1,1,1)

Q: find a parametrization of the curve. The line passing through (1, 0, 4) and (4, 1, 2)

A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.

Q: 3. Obtain the directional derivative of the given function at point P and in the direction of the…

A: 3) Given function is Now So Now we have to find out directional derivative of f at P in the…

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: The given parametric curve x=t3, y=t23. We have to sketch the graph of the parametric curve and find…

Q: let angle thetha be measured from x1 axis counterclockwise to a line drawn normal to the boundary…

A:

Q: how do you write in parametric form?

A:

Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: What is the graph of r(t)=2 costi + sintj?

A: Vector-valued function : It is a function of the form  r(t)=f(t)i⏜+g(t)j⏜ or…

Q: A bee starts at the point (5, 7, -3) (with units in meters) and travels at a constant speed of 9 m/s…

A:

Q: Find the parametric equation for the line in R' that passes through the point (1, –2, 3) and that is…

A:

Q: A=(2,3,1) and G=(10,7,5) Write a parametric equation to describe the movement from A and G?

A:

Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

A:

Q: A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric equations…

A: The given points are x1,y1=-2,4;x2,y2=10,0 So the slope is given by: m=y2-y1x2-x1=0-410--2=-13

Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: Abee flies around a room at an altitude of 2 2.3 meters making circles, so that its a coordinate…

A: Solution :  To write the parametric equation to describe the motion

Q: Distinguish briefly the Parametric and non-parametric analysis

A: There are two types of analysis in the testing of the hypothesis. they are: 1) Parametric analysis.…

Q: (x = -1 + sect b) { y = 2 + tant -<< 2 2

A: To convert the given parametric equation to Cartesian form.

Q: must use linear algebra to find the parametric equations of a line of intersection in R3 for x1 + x2…

A:

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: draw the line which start point (1,1,0) and end point (3,4,0)by using parametric equation

A:

Q: 3. Find the parametric equations of the tangent line to the curve: r(t) = sint i + (t²- cost)j + ek…

A: The given curve .The aim is to find the parametric equations of the tangent line at the point .