Find the length of the following curve. 3 2 y 2x from x-0 to x= 1 %3D The length of the curve is

Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: s(t)=-9t2 + 27tHence, s(1 + h) = - 9  x (1 + h)2 + 27 x (1 + h) = - 9h2 - 18h – 9 + 27 + 27h = - 9h2…

Q: Find the r value of the point on the curve y = 3x + 2 closest to the point (1,0). Evaluate /(-글 +…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Find the heights of the rectangle by the first point of x which is given .

Q: f(x)= +* 4 Find the exact length ot the Curve O ver

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Q: 4 d.x x2 + 16 0.

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute…

Q: find the slope of the curve at the point indicated.

A: We have to find the slope of the curve at the given point: y=x-1x+1, x=0 We know that slope of the…

Q: Find the area A of the largest rectangle that can be inscribed under the curve of the equation below…

A: Given y=e-x2

Q: 11. Find the distance from the point P(-1,2,-3) to the line given by X = x = 2t y =1+t z = 3t

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Q: The time variation of the price C of a particular material is described by the equation C = 5t In(t)…

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Q: y = (e* + 1)*

A: We have, y=ex+1x On taking logarithm on the both of the side, we get the result as logy=xlogex+1…

Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A -3 3 D none of the…

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Q: x² closest to the point (0, 8). 6. Find the point(s) on the curve y =

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Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: Find the point P on the graph of the function y = Vx closest to the point (3,0) The a coordinate of…

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Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? A B) -6 -3 D none of…

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Q: 1. Find the slope of the line normal to the curve at (1, 2). y=v5x-x? 4 A. 3 В. -4 С. D. E. None of…

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Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: The average velocity of the object over [1, 7] is computed as follows.

Q: 6. Find the length of the curve y =-+ from x =1 to x=2. 9. 28x

A: The curve is given by the equation, y=x99+128x7  and the point is given from x=1 to x=2. To find :…

Q: 50 Find the length of the curve whose equation is given by r = e on 0 < 0 < 2T.

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Q: Given x = π, y = −1.Find a direct variation model that relates y and x.

A: Given: x=π ,y=-1

Q: 0. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

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Q: after t hours is given by v(t) == 3t"+2t. Find the distance the particle travels during the first 4…

A: Given query is to find the distance in first 4 hours.

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

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Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

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Q: The 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.

A: Given, The line y=x+b is the tangent of the graph y=x12 at the point P=a,a12

Q: Q2:- The pressure of the gas corresponding to various volumes V is measured, given by the following…

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Q: [a] Use the data from the table to find an approximation for R'(45).

A: We have to use properties of derivative.

Q: At what value of x will the slope of the curve x^3-9x-y=0 be 18? The answers should be within these…

A: we have given curve  x3 -9x -y =0

Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

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Q: Find the x coordinate of the point P on the graph of the function y = Vĩ closest to the point (3,…

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Q: The best fit curve shown above has an equation m=0.5h^b, where m is the tree's weight in pounds (1…

A: Given, m=0.5*hb⇒m0.5=hb⇒2m=hbTaking log on both sides⇒log2m=b*logh⇒b=log2mlogh

Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A none of the given…

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Q: The formula for solving for the area in the first quadrant bounded by y = x², the circle x² + y² =…

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Q: The velocity of an object moving in a straight line is given (in m/s) by v(t) = 2t – 3. Find the…

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Q: Trace the following curve: v3 9r2 1 24r. 7

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Q: find the constant of variation for each of the stated conditions. y varies directly as the cube of…

A: y varies directly as the cube of x

Q: Find the required x-value. For a y-curve with 24 degrees of freedom, find xó 95 : O A. 12.401 В.…

A: Solution-: Given: We find

Q: At time t, the position of a body moving alongthe s-axis is s = t3 - 6t2 + 9t m. Find the total…

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Q: The height above the ground of a stone thrown upwards is given by s(t), wheret is measured in…

A: Use formula: s(t)=-16t2+96ts(2)=-1622+962      =-64+192s(2)=128 fts(2.2)=-162.22+962.2…

Q: What should be the curve to approximate the value of V8? x +6 =0 OB) 1,4142136 x-6 0

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Q: The equation for the line of best fit for some data comparing the height of a candle (H) with time…

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Q: Pick the equation that matches the graph below |– x^ Vx 1 O = Vx + 1

A: Given query is to find the equation of the graph.

Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

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Q: The graph of the acceleration a(t) of a car measured in ft/s is shown. Use the Trapezoidal Rule with…

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Q: (c) Find the length of the curve described by r = e30 for 0 < 0< 4.

A: Given, r=e3θ for 0≤θ≤4

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for…

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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: Suppose that an object moves along an s-axis so that it's location is given by s(t)=t^2+7t at time…

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Q: Find the length of the curve x = 4 1 from y = 1 to y= 4. 8y + The length of the curve is (Type an…

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