Assume A = A₁ + A₂ and A, B = 0. If A₂ = kB, show that k = ● (5) (6) Use the formula x = r' (t) xr"(t) || || r' (t) ||³ 4 ✓17 function r(t)=(4 cost, t, 4 sin t) is K- - A.B ||B||2 to show that the curvature of the vector

Q: Find the limits from the given graph of f(). 3 -2-11i 2 3 4 5 -2+ lim f(x) x0- lim f(x) lim hm f(x)…

A: From the graph we can see that the value of fx tends to 0.5 as the value of x tends to 0 from the…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: 2. Find the length of the curve 0<t< 2n. r(t) e'i + e' sin 2tj + e' cos 2tk,

A: From the given problem :   rt=eti+etsin2tj+etcos2tk   So,   x=et, y=etsin2t , z=etcos2t .   As we…

Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

Q: За and the equation of the tangent line to the curve at the point (a,b) is y = 2 - If f(x) = -x- x +…

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Q: Tangent to the curve z2 = 2xy + x2 , z = 3 , at the point ( 1, 4, 3) %3|

A: For a surface of the form: f(x, y, z)=0, the equation of the tangent at x0, y0, z0 is defined as…

Q: Q3. For the motion vector r(t) = e'cost i + e'sint j , find: (i) (ii) ат

A:

Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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

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Q: If √x + √y = 9 and y(4) = 49, answer the following: a) y b) The slope of the tangent line to the…

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Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

Q: If a focal chord of y =16x is a tangent to the circle (x-6)° +y² = 2, then the positive value of the…

A: Introduction :__

Q: 3. Consider the curve given by r = 2+2 cos (0) where 0<0<2n. Find the slope of the tangent IT line…

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Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2…

Q: (is)Find the eguakion af the line tangent to y=ro* át (!,10')

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Q: u(x, y) = x"°-2, a = (1,1)

A: