Q: For the curve given by x=t^2+t-2,y=t^3-2t-1, find the slope and concavity at the point (4 , 3).
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Q: If f(z) 20x + 13, find the slope of the secant line between the values of a1 = 1 and x2 = 5. %3D
A: NOTE: Refresh your page if you can't see any equations. . the given function is here the function…
Q: Sketch the level curve for f(x, y) = 36 – 9x? – 12y2. '36— 9х2 —
A: Given function f(x,y)=1236-9x2-12y2
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Q: Differentiate implicitly to find the slope of the curve at the given point. y + yx? +x? - 3y? = 0;…
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Q: What is the length of the part of the curve y squared = (x-1) between the points (1,0) and (2,1)?
A: To find- Length of the part of the curve.
Q: Q2: Find the length of curve: x = cost, y = t+ sint, 0st<.
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Q: The x coordinate of the point of intersection between the two curves Y = e2lx and y = 1 is
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Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b
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Q: For the curve given by x = vt and y =÷(t² – 4), t 2 0 find the slope and concavity at the point…
A: Given, x=t x4=t2 and y=14t2-4 we also write it as, y=14x4-4 Slope:- y'⇒x3 at point (2,3)…
Q: D. FIND THE SLOPE AT TGE POINTS INDICATED y= x2 – 5x + 4 1. @ (1,0) 2. у 3 @ (2, %) (x²+ 4)
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Q: Find the length of the curve x = 1+ 312, y = 4 + 213, 0 <t < 1. Length =
A: Given,
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Q: Find the equation of the line tangent to the curve a = 3t2 +8, y= 8t +3 at t = 2 Answer:
A: The solution is given as follows :
Q: For what non-negative value of b is the line given by y = -x + b normal to the curve y А. 0 В. 1 С.…
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Q: Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t<2
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Q: Find the exact length of the curve for the parametric equation
A: Let's say the length of the curve is L. 0 ≤ t ≤ 1 Hence, the desired length will be calculated as:
Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.
A: It is given that x=gx for c≤y≤d.
Q: find the slope of the curve at the point indicated.
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A: As we know that the length of a curve x=f(y) is given by:- L=∫ab(f'(y))2+1dy
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Q: Evaluate √√√x² + y² ds along the curve r(t)=(4 cost)i + (4sint) j+3tk, -27 ≤t≤ 2T. C
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Q: At approximately what value of x do the two lines meet? Ay
A: We need to use inspection method to find out solution of given equation
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A: Given curve is y4=y2-x2 Differentiate both sides with respect to x.…
Q: f(z) = 4 compute the instantaneous slope at: (7, ) Start with two points A : (7, ) and B: (7+h, ?)…
A: The coordinates of B are general representations of points on the curve. I.e B:(x,f(x)). Hence for…
Q: Find the exact length of the curve. x = 1 + 12t², y = 1 + 8t³, 0≤t≤4
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Q: For the following exercises, find all points on the curve that have the given slope. 73. x= t++,…
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Q: What is the length of the curve I=1+32, y = 4+2t, (0 <t<1) ?
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Q: ind the lenght of the curve y= 3/5x5/3-3/4x1/3+6 for 1 inferior or equal of x, and x inferior or…
A: We need to find the length of the curve. So the Length of The Curve Y = 3/5 X^5/3 -3/4 X^1/3 + 6…
Q: If y=mx+b is the equation of the tangent line the curve y=x2-3x+5 , which is parallel to the secant…
A: Proceed as shown
Q: For what values of a and b is (2, 2.5) is an inflection point of the curve x?y +ax +by = 0? What…
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Q: Find the exact length of the curve. X = 4 + 6t2, y = 8 + 4t3, 0sts 2
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Q: For the curve x - 2t and y = t-1, what is the equation of the normal line when t=2
A: Given,x=2t.................(1)andy=t-1..................(2)Now,Differentiating both the equations…
Q: Q3)A/ Find the cquations of all lines having slope-1 that are tangent to the curve y = 03)B/ Find…
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Q: . Given the relation x2 – xy + y3 = 11, determine the slope of the line tangent to the curve at…
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Q: Find the angles at which the curve y=x3−x intersects the x-axis.
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Q: The equation of the tangent line to the curve a? +y = 25, at (8,-12) is. 12 (x+8) – 12 8 y = 8. y =…
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Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…
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Q: Find the exact length of the curve. x = 1 + 12t2, y = 4 + 8t3, 0 sts 3
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Q: Find the length of the curve y = x^4 for 0<_x <_1
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Q: Find the exact length of the curve. Y=y4/8 + 1/4y2, 1 less than or equal to Y less than or equal 2.
A: Given: Y=y48+14y2 , 1≤y≤2 As, the length of the curve, L is given by: L=∫ab1+dydx2dx According to…
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- For the following exercises, find the distance between the two points. 7. Find the distance between the two points (-71,432) and (511,218) using your calculator, and round your answer to the nearest thousandth.For the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. 8. (1,5)and(4,6)For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line 2. Is each pairof lines parallel, perpendicular, or neither? Sketch a graph of the linear function f(t)=2t5.
- For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line 2. Is each pairof lines parallel, perpendicular, or neither? Write an equation for a line perpendicular to f(x)=5x1 and passing through the point (5,20).For the following exercises, find the slope of the lines that pass through each pair of points and determine whether the lines are parallel or perpendicular. 45.(1,3)and(5,1)(2,3)and(0,9)For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither? A car rental company offers two plans for renting a car. Plan A: 25 dollars per day and 10 cents per mile Plan B: 50 dollars per day with free unlimited mileage How many miles would you need to drive for plan B to save you money?
- For the following exercises, find the equation of the line with the given information. 16. Has an undefined slope and passes through the point (4,3) .For the following exercises, find the equation of the line using the given information. 33. The slope equals zero and it passes through the point (1,4) .For the following exercises, use the descriptions of each pair oflines given below to find the slopes of Line 1 and Line2. Is each pair of lines parallel, perpendicular, or neither? Line 1: Passes through (2,3) and (4,1) Line 2: Passes through (6,3) and (8,5)
- For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither parallel nor perpendicular: Find the area of a triangle bounded by the y-axis,the line f(x)=124x, and the lineperpendicularto f that passes through the origin.For the following exercises, find the equation of the line with the given information. 17. Passes through the point (2,1) and is perpendicular to y=25x+3 .