WebFind the arc length of the curve x = t2 + 1, y = 4t3 + 3 on the given interval 0 ≤ t ≤ 2. arrow_forward Find the exact arc length of the curve y = (x^6+8)/16x^2from x = 2 to x = 3 arrow_forward Consider C (t) = -2i + 2eit, 0 ≤ t ≤ 2π. Is C an arc? Is C a simple arc? Is C a simple closed curve? arrow_forward Recommended textbooks for you WebThe curve's length in Cartesian coordinates for y = f(x) y = f ( x) specified on the interval a ≤x ≤b a ≤ x ≤ b is L = b ∫ a √1+(dy dx)2 dx L = ∫ a b 1 + ( d y d x) 2 d...
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WebExplanation: We must take the first derivative to determine the slope of the tangent. 2x+ 2y( dxdy)−4− 6( dxdy) = 0 ... At the points of intersection of circle x2 + y2 − y−3 = 0 and x = … WebFirst of all do the derivative of the given curve x^2=4y is 2x=4(dy/dx) and the slope can be dy/dx=(x/2)=m we know that the normal equation formula as y-y1 Determine math equation Math is a way of determining the relationships between numbers, shapes, and other mathematical objects. Get arithmetic help online ... ガイキングlod
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Web1 - x 2-y 2 = 0 , or y 2 = 1 - x 2. Substitute this into the original equation (x 2 +y 2) 2 = 2x 2-2y 2, getting ( x 2 +(1 - x 2) ) 2 = 2x 2-2(1 - x 2) , 1 = 2x 2 - 2 + 2 x 2, 3 = 4x 2, x 2 = 3/4 , … WebQ: Find the local maximum value of f using both the First and Second Derivative Tests. f (x) = x + √√3-x. A: Click to see the answer. Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f (x) = 8.86x +…. A: given total expanditures are increasing at a rate of f (x)=8.86x+87.14 where x=0 corresponds to ... Web7 sep. 2024 · Use Green’s theorem to evaluate line integral ∫Cx2ydx − xy2dy where C is a circle x2 + y2 = 4 oriented counterclockwise. 40. Use Green’s theorem to evaluate line integral ∫C(3y − esin x)dx + (7x + √y4 + 1)dy where C is circle x2 + y2 = 9 oriented in the counterclockwise direction. Answer 41. patate lisetta