If the normal to the Curve :f(x) ot the Point ( 3.) mokes an angla ST with the positive K-axis, what is the Value of fLD 9 The aunve with aguation y 5xH-22 is Caleda Kemeyle f Gudexu Lind quahon t. Longed bine ta the Sx-22 is an eguakien of Curve af fhe poich C-1,-2Y

Q: The curve a(t) = (t² + 1)e, + (t* + t² + 1)e, can be represented by у%3 (х — 1)2 y = x2 – x + 1 The…

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Q: tind the D-E Sor the Following Family of curves y-ax+be

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Q: If the curve 'C' is given by |z - 3| = 4 then %3D the value of e2 dz is (z+2)(z-3)? EER

A: The given problem is to evaluate the given complex integral over given curve, we have to use Cauchy…

Q: Let C be the curve y = x³ – 3x2 + 4x - 1 joining the points (1, 1) and (2, 3). Find the value of |…

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Q: Find the length of the curve x=2t, y=3t, 0≤t≤1

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Q: Select the correct answer below: x(t)=-4cost-2 and y(t) = -2tant - 3 Ox(t) = -2cost-3 and y(t) =…

A: Sol:- Correct choice :- First  Plotted:-

Q: Find the exact length of the curve given by 2t2 t3 (0 <t < 5). x = Length = ||

A: Solve for the length of curve

Q: Consider the curve defined by x = t and y = 2t² + 6. for –2 <t<3. Find an equation in X and Y whose…

A: Parametric curve, x = 12t,y = 2t2 + 6,-2 ≤ t ≤ 3

Q: 4. Find the length of the curve 7(t) = (t2,,t³,t) for 0st<4

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Q: A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of…

A: Given curve is, PT,F=78T+162F-0.15TF-0.2T2-0.3F2-9000.…

Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y + 3)2 = 50 at the point P…

A: We Know that A tangent to a circle at point P with coordinates is a straight line that touches the…

Q: 4) Consider the curve y 1 2x2 3 dy a) Find and simnplify dr b) Find an equation, in simplified form,…

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Q: 3 2/3 3 4/3 X- 8 +7 for 1sxs 27. Find the length of the curve y=7*

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Q: The nature of the multiple point at the origin for the curve z+3r+y'+3y²+2r?y² = 0 is O Node O Cusp…

A: For the solution follow the next steps.

Q: ☺ Find the equation ģ the Lime that is tampent to the curve of fad= (4-32)1 at x =l (Ges fa) =…

A: Find the eqn of tangent to the given curve at x=1

Q: For the curvey ax + bx- + 12x - 7. what values of a and b will make the tangents to the curve at x =…

A: We have to solve the problem

Q: Consider the curve 2y° + y – y° = x* – 2x° + x². a) This curve has sometimes been likened to a…

A: Given: 2y3+y2-y5=x4-2x3+x2. Graph the curve: The graph of the function represents a bouncing…

Q: The slopevofvthe curves 2y2=ax2+b at (1,-1) is -1.Find a,b

A: The given  curve is 2y2=ax2+b. It is given that the slope of the curve at the point (1, -1) is -1.…

Q: Q4: Q4:A/ Find the length of an are of the curve y = (1/6) x + (1/2) x from x = 1 to x= 2.

A: The arc length of the curve y=fx for x=a to x=b  is: L=∫abf'x2+1dx Now, we have y=16x3+12x-1  for…

Q: a) Given a curve y = px* + 2x has turning point at (–1,q). Find the value of p and q.

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Q: For what values of c does the curve have maximum and minimum points? F(x) = 2x + cx +10x Select the…

A: For curve has both maximum and minimum  f'(x) = 0 has both real zeros/roots.

Q: -5 y = (3 — х)4 Is the following curve concave up or concave down at x= 2?

A: Consider the provided question, Let fx=-53-x4                     ...1 We need to find curve concave…

Q: 3)let the curve c be 3 let given by r(t)=2€-5,Sint,-Cat) for tr stc lT r(t)=2t-5,Sint,-Cost) for…

A: r(t) =(2t-5,sint,-cost)a)r'(t)= (2,cost,sint)|r'(t)| =22+cos2t+sin2t =4+1=5|r'(t)|=5L(c)…

Q: Find the length of the curve. x=(y - 1) 3/2 from y = 1 to y = 4 O 7 O 10 21 2 O 1

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Q: Assume y= mz + n is an oblique asymptote of the curve az² + bx + 2 I+3 If this oblique asymptote…

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the…

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Q: The length of the curve defined by x =(v² + 2)E, y € [0,1]. Select one: none O 12

A: Arc length of the curve x=g(y), y∈[a, b] is, S=∫ab1+(g'(y))2 dy

Q: Find the exact length of the curve. x= (y4/8)+(1/4y2), 1&lt; y &lt; 2

A: The given function is,

Q: 5 1 from y = 1 to y= 2. 3 12y Find the length of the curve x =

A: NOTE: Refresh your page if you can't see any equations. . for simplicity interchange the variables

Q: If 0 <x < a part of the y = x3/2 curve is 42 br then a= ? wwwww O A) 3 O B) 5 O C) 17 O D) 10 O E)…

A: Given that :- If 0&lt;x&lt;a part of curve of y=23x32 is = 42 and a=? We know that , the part of the…

Q: If x = 5 – t and y = 3 – t where t is bounded between -3 and 2, inclusively, find the following. A)…

A: Given: x=5-t2 and y=3-t where, t∈-3, 2. To find: (A) Table values and sketch the curve. (B)…

Q: ) ay The Jine tangant Find -he slope to The curve y=l-ax+ 1 at x= 1 (a) 1 O b O a O d

A: Slope of a tangent line is derivative of function at that point.

Q: h by Delermine the longth of the Curve y=flete?) between X-0 ond X= 2

A: Consider the given curve:

Q: x = 4 + 12t? %3D Find the exact length of the curve for 0 <t < 4 y = 3 + 8t3 %3D

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Q: dy The family of curves having * is 1) y=-2x+c 2) y=(2x - x') +e 3) y = 2x - +o O 4) y=(2- x²)³ +c…

A: We have to find solution of the above question

Q: Consider the curve defined by x = 2t – 1 and Y = 2 – t, for –5 <t< 3. Find an equation in X and Y…

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Q: The point of inflexion of the curve r = b0" are given by {a} r = b[¬n(n+1)]"¹² (b) r= b[n(n+1) ² (c)…

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Q: find the length of the curve on the given interval: y=1/3(x^2+2)^(3/2), [0, 1]

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Q: The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

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Q: At the point (a, b) the curve æ = t2 – 4t, y = t2 + 2t, teR has a tangent line having slope 2. What…

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Q: Given the curve :x = t³ – 3t, y = t3 – 3t2. Find the POINTS on the curve where the tangent is…

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Q: fuicd an eqantion for the tengat to thte Ceore at the given poit. The sletch thte curve aud tangat…

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Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate 3 the curve…

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Q: Q. 2) Write short answers for the following: (Any FIVE Questions) 1. What is the maximum or minimum…

A: The unction is given by y=x2-4 Differentiate the function w.r.t. "x" yx=ddxx2-4y'x=2x......(1)

Q: li) y²= x3 2. between XEo nd x=7 49x between X=0 nd X=1 (a) sketch the Curve (b) Lind its length.

A: i) a). Given: The curve y2=x37, lies between x=0 and x=7. Then y=x37, a=0 and b=7  Use an online…

Q: r= g° ,0<g<\5

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Q: The point P(1, ) lies on the curve y = x/(1 + x). (a) If Q is the point (x, x/(1 + x)), use your…

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Q: For the curve y= ax + bx? + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: x + 4y* + 2y? + 5 = 0 The curve above can be parameterized as which of the following pairs of…

A: Solve by substitution