ind the equation of the plane tagent to the curves f (t) = [3t+4,4 tº, sin (πt) + 4] and g(s) = [8° +48 +7,48+4,5 -cos (TTS) at the oint [7,4, 4].

Q: What is the slope of the line tangent to the polar curve r = ㅠ Ө - ? O 1 √√3 ✓ 2 T -||♡33 √√3 cos at…

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Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

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Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ

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Q: Find the tangent plane to the equation z = 3y cos(5x – 2y) at the point (2,5,15) z =

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Q: For the parametric curve given by x = t + sin 2t, y = cos 2t, dy d²y (i) calculate the derivatives…

A: Given parametric equations: Objective: To calculate the derivative of and .To find the equation of…

Q: Q2 - A) Find the parametric equations for the line that is tangent to the given curve : r(t) = (a…

A: To find The parametric equations for the line that is tangent to the given curve

Q: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

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Q: Find the parametric equations of the tangent line LT to the curve C:r (t) = 2 cos(t)i + sin(t)j +…

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Q: Consider the family of curves described by the parametric equations x = a cos t + h, y = b sint + k.…

A: The parametric equations of a curve in two variables are obtained when both the variables of the…

Q: Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t)…

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Q: Find the slope of the tangent line to polar curve r = 8 – 7 sin 0 at the point (8 %3D 2' 6

A: Given the equation of polar curver=8−7sinθ       .......(1)(8−72,π6)

Q: iez3 dz. ty z – i

A: In this question, we need to find the value of complex integral. Here first we find the contour and…

Q: 7. Calculate dy/dx at the point indicated: f(0) = (7tan O, cos O), 0=/4

A: Here we will use the concept of parametric equation and Derivative of parametric ewyations

Q: Can the parametric curve (t, sin t) be represented as a graph y = f (x)? What about (sin t, t)?

A: Parametric curve is (t, sint) i.e x = t and y = sint

Q: determine the slope of the tangent line to the polar curve r = 3 + 8 sin 0 at 0 =

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