1. Find y"if z- y? = 9. 2. Find the equations of the tangent and the normal to the curve r ry + 2y - 2 = 0 at z = -1.

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Q: 3. Find the equation of the tangent plane and normal to the surface z =x? +y? + 4 at point (1, -1,…

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Q: ind the tangent and normal to the curve y =2e at the point where the curve meets the y – axis

A: Find the equation of the tangent

Q: Find the slope of the tangent to the curve at the point specified. 23 + 2ry +y? = 64 at (1,7) %3D…

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Q: Find an equation of the tangent line to the curve y = 2r(1+1) at the point (1,4). %3D

A: Given,           An equation of the tangent line to the curve y=2x1+x at the point 1,4.We know that,…

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Q: Is XY tangent to circle Z? How do you know?

A: 1. Intersecting secant tangent theorem: For a point outside the circle, if a tangent and secant is…

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Q: 4. Sketch the graph of the curve y = Vĩ and the tangent line in the Cartesian Plane using a scale of…

A: Given curve y=x

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

A: solution

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Q: A propeller with radius 7 feet is rotating at 20 revolutions per minute. Find the linear velocity of…

A: Let's find linear velocity of the tip of propeller.

Q: Estimate the slope of the tangent line on the curve y = x2 at the point (1, 1) using at least 3…

A: Given that a curve y=x2 and we find slope of the tengent line on this curve at the point (1,1). We…

Q: Find the equation of the tangent plane to the surface 3 – 12y – sin(r*:) = 0 at the point (2, 1,0).…

A: To find gradient of the function.

Q: tay y 20. Find the lines that are (a) tangent and (b) normal to the curve y = Vĩ at x = 4.

A: Given: y=x   at  x=4

Q: O ☺ Find the equation to Curve y= 3x -JC +5 the tangent Cine of tine at the point (1,7) i) Find if…

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Q: Find the equation of the tangent line ( y = mx+b) to the curve at the given point.

A: In the first step I'm just explaining the process to find the value of the t for the given point.

Q: 2/3 10. Find the equation of the tangent and normal to the curve y = x+ x3 at (0,0).

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Q: Find an equation of the tangent plane and find a set of symmetric equations for the normal line to…

A: To find the equation of tangent plane.

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Q: ind the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

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Q: Find the equation of the tangent line to the parametric curve at the indicated point. Show all work.…

A: Equation of tangent line : y - y0 = m ( x - x0 ) m is the slope of tangent line .

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Q: Find the exact length of the curve. y = 6 + cosh(3x), 0s x 8 중이nh(3) sinh(3)

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Q: Find the equation of the tangent line to the following curve at the indicated point. 36 at (1,- 6)…

A: We have to find the slope using dy/dxDifferentiate both side of the given equation w.r.t. x.Used…

Q: find the slope of the line tangent to the cardiaidr=1+sin e at point definedd by 0= "/3. Simplify…

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Q: UV is tangent to oW at point U. What is the value of: X-1

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Q: Find the equation of the tangent and normal to the curve

A: (1)y = x4-2x2+4Equation of tangent  - y = m1x+cwhere, m1=slope of the tangent = dydxDifferentiating…

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Q: Find the slope of the tangent line to the curve V 3x + 4y + V3xy = v33 + v63 at the point (7,3). The…

A: Slope of tangent line: To find the slop of tangent line, there are few steps: Step: 1 First…

Q: A particular curve has unit binormal b - sin t, cos t, 2), unit normal n (- cost, - sin t, 0) and =…

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Q: 2xy + nsiny = 2n, at point (1,5)

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Q: V. The tangent line at the point (t, y) = (- to 4'2 1 Then, the curve y = cos t is y = bt - - - a a…

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Q: 6. Find equations of the tangent line and the normal line to the curve y = 1+ x2 at the point (1,)…

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Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: 4) The lemniscate curve (x² + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

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Q: A simple curve has a central angle of 36 and a degree of curve of 6°. f the stationing of the point…

A: Given, Central angle=36°Degree of curve=6°PC=10+020 For calculating PI the formula is, PI=PC+Length…

Q: Q: Show that the curve such that the ratio of the distance batween the normal at any of its points…

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Q: Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1,…

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Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y…

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Q: 2. Find equations of the tangent line and the normal line to the curve y = 1+ x2 at the point (1, 3)…

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Q: 2. Find the slope of the line tangent to the cardioid r = 1+ sin 0 at the point defined by 0 = "/3…

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Q: Find the equation of the tangent line to the curve at the given point. у %3D 9х — 8/x, (1, 1) у 3…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the tangent line to the curve y = 2 In at the point (1, 2). (Hint: simplify…

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Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. (Give your…

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Q: x+1 Y = (3 at x = 3 x-1'

A: Given that x0=3 Let us find the value of the function at the given point that is y0=f(3)=8 Now, find…

Q: XY3 = 8 at ( 1, 2) %3D

A: Tangent is a line that just touches the curve at a point.