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A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0
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Q: Find the exact length of the curve. x = 1 + 9t2, y = 8 + 6t, 0 sts 4
A: Answer is mentioned below
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A: Topic:- application of derivatives and integration
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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y = 3x5 – 5x³ + 4 8. Y=…
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Q: Find the exact length of the curve. x = 4 + 6t2 y = 6 + 4t3 0 sts 4
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Q: Find the exact length of the curve. x = 8 + 12t2, y = 9 + 8t³, 0 st< 3
A: given parametric equation of curvex = 8+12t2 , y = a+8t3
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Q: Find the exact length of the curve 3 + 9t? for 0 <t < 4 2 + 6t3
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Q: Find the exact length of the curve. x = 6 + 6t2, y = 7 + 4t3, o sts1
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Q: Q5) Find the length of the curve: r = asin? ,0 0.
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Q: Find the exact length of the curve.x = 3 + 6t2y = 8 + 4t30 ≤ t ≤ 4
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Q: Q5 Find the length of the arc of the curve in the given range, y3 3 ' 4(y + 5) 1 x = 25y + 5y2 +…
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Q: ) Find the length of the curve determined by 7 (t) = 2t7 + V3t27 + t
A: To find the length of the curve
Q: Find the length of the curve r = 1-2sina a. 13.95 b. 13.36 с. 12.50 d. 13.55 е. 13.23 O a O b Ос O d…
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Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2
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Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4
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Q: Find the exact length of the curve. x = 5 + 12t2, y = 4 + 8t3,
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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: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4
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Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y+ 3)2 = 50 at the point P…
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Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = /6x ? a)3…
A: 5
Q: Find the exact length of the curve. x = 4 + 6t?, y = 1 + 4t³, 0sts4
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Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D
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Q: 8- Find the lengthf the Curve are 24xy=x+48 Hem X=2 tox=y Hint The eure Can be written as fettow +2X…
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Q: 1. Find the length of the curve (a) y =D (22 + 2)이,0<r<1 3
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Q: Find the exact length of the curve. X = 3 + 6t2 y = 5 + 4t3 0 <ts 3
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Q: Find the exact length of the curve. 1 1 s x s 3 y 4x
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: The unction is given by y=x2-4 Differentiate the function w.r.t. "x" yx=ddxx2-4y'x=2x......(1)
Q: The length of the curve z=z(t)=5e", Ostsa is а) 12л b) л c) 157 d) 2
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Q: Find the length of the curve. r(t) = ( 6t, t2, 3 Ostsi
A: We find r'(t) using the power rule
Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?
A: we have the curvey4=y2-x2
Q: Find the exact length of the curve. x = 8 + 3t2, y = 3 + 2t3, 0 ≤ t ≤ 5
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Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =
A: We will use the following formula.
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- thank you (d) The equation of a curve is y = axb + 4. Given that x = 1 when y = 9 and y = 44 when x – 2, calculate the values of a and b.A wire has the shape of the curve ?=7?3/2y=7x3/2. Find the length of the wire between ?=0x=0 and ?=1x=1. Give your answer correct to 2 decimal places.Graph the curve and find its length. x = etcos(t)y = etsin(t)0 ≤ t ≤ 5π
- Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like. y=1/27(9x^2+6)^3/2 from x=0 to x=3Find the length of the curve over the given interval. r = 12 on the interval 0 ≤ ? ≤ pi/2The line y=x+b is tangent to the graph of y=x1/2 at the point: P=(a,a1/2 ). Find P and determine b.
- 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3,y=3t^2/2; −√224 ≤ t ≤ √224Find the length of the curve y=x^4 for 0 <_x <_1 (a) 0.8 (b) 1.0 (c) 1.2 (d) 1.4 (e) 1.6q8 A) The speed associated with the trajectory is? B) The length of the trajectory on the given interval is ____ units? (Type an exact answer, using radicals as needed.)
- Choose the letter of the correct answer and show solution: For the curve y=x(x-1)3,find the point of inflection of the curve with slope of 1/4 a). 1,0 b.) 1/2, -1/16 c.) 1,1 d) 1/2, 1/8 e) none of the aboveThe best fit curve shown above has an equation m=0.5h^b, where m is the tree's weight in pounds (1 ton = 2000lbs) h is its height in feet, and b is an integer. What is the value of b?Diagram shows part of the curve y=27-x^2. PQRS is a rectangle. Length of OQ is t units.