calculate the length of the curve y=2cosh (x/2) for 0 < x < 2

Q: Find the points on the curve  y = x3 + 3x2 − 9x + 2 where the tangent is horizontal.   smaller…

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Q: Find length of curve: y=3x^(3/2) from x=0 to x=4

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Q: Find the equation of the line tangent to y = 2sin x at x = p&gt;2. Graph the function and the…

A: Given: Function y = 2sinx To Find: The equation of the tangent line at x = p  Concept Used: The…

Q: Determine the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the…

A: Solutionsa)let y=mx+c —(1)Thereare two parameters of equation m &amp; cand x intercept=-cmNow given…

Q: f(x)

A: We will find the equation of tangent.

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: to the curve y = F(x) at the point with x %3D

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Q: 2) Find and sketch the circle of cur vature at the point on the curve y = x2 where the tangent line…

A: To find and sketch the circle of curvature at a point on the curve y=x2 , where the tangent line has…

Q: slope y=x-x^2 at (x,y) at x = 2 trace the curve

A: Given: y = x-x2

Q: 3 3--x2+3x and the line y=x. 4 Find the area bounded by the curve y=-x³- 16 10 square units 16…

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Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Find the point(s) on the graph of y = (x2 – 168)e × where the tangent line is horizontal. Identify…

A: Given y=x2-168ex Consider, fx=x2-168ex To find the points on the graph where the tangent line is…

Q: Find the length of the curve y=lnx from x=1.5 to x=3.

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Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: Determine any critical points, point of inflection and trace the curve. 3. y= (1-x)

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Q: ngent line to the curve y= In(x4 + 1) at x

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Q: Find the differential eqn. of the ff. family of curves: a.) Straight lines with slope half the…

A: Ans (a). Given that, There is a straight lines with slope half the value of the x-intercept. let…

Q: y = -V16 – x², — х2, -4 < x < 0.

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Q: Find the exact length of the curve. 1 y = 1 + cosh(8x), 0 ≤ x ≤ 1 8

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Q: 3. For the curve y 3*thx at the point (1,1) find the following using exact numbers:

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Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: Determine the tangent to the curve 3y2 = x3 at (3,3) and calculate the area of the triangle bounded…

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Q: Find equations for the lines that are tangent and normal to the graph of

A: Given equation of the function is: fx=tan xx Differentiating with respect to x we get, f'x=x…

Q: 3) Calculate the length of the curve interval [-2₁2]. y = x²/2 on the

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Q: Find the points on the curve y = x + 3x2 9x + 1 where the tangent is horizontal. %3D smaller x-value…

A: The given function is y=x3+3x2-9x+1

Q: Find the interval on which the curve y = - -∞, 6 dt is concave upward. (Enter your answer using…

A: We have to find out

Q: At which x values does the curve y = 1 + 80x 1x does the tangent line have the largest slope. List…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…

A: Solution:- step-by-step solution of above  question is given below.. The given curve is  y=x3-x2-x+1…

Q: Determine any critical points, point of inflection and trace the curve. 2. y = x°(2– x²)

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Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: Determine any critical points, point of inflection and trace the curve. 2. y =x*(2-x*)

A: Here we use the concept of derivatives.

Q: Find the slope of the curve x^3=(y-x^2)^2 at (1,2). If q-p=Inq+Inp, find dq/dp.

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Q: Find the length of the curve y = ln (1 - x2), 0&lt;=x&lt;=1/2

A: Given:

Q: Consider the lines normal to the curve 3x2 - y2 = 8 that are parallel to line x + 3y =4. Let A be…

A: In this question, concept of tangent and normal is applied. Tangent and Normal A tangent is a…

Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4

Q: A tangent line to y=1/x^2 intersects the x-axis at the point A and the y-axis at point B. What is…

A: Please note: The line tangent to the given function intersects the x-axis at a point A and the…

Q: Find the length of the curve : y = + from x = 1 to x = 3 - 3 4x

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Q: nd analytically using limits the slope of the tangent line to the curve y= x

A: Here we have to Find analytically using limits the slope of the tangent line to the curve y=x2+3x At…

Q: Find the critical values of y = x - 2x and determine their nature. Sketch the curve.

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Q: 9. Find the width of the shape, surrounded by two curves y = e*, y = e¯ * and %3D two straight lines…

A: Consider the given curves y=ex and y=e-x and two straight linesx=ln2 and x=ln5.

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

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Q: Find all points on the curve y =x3 +-x* + 6x² where the tangent is horizontal. 3

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Q: Q1) Sketch and Find all critical points, local minimum and maximum, concavity, concave up and…

A: Consider the given function as fx=4x3-12x2

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the…

A: Question is solved.

Q: 5. Find the equation of the tangent line and normal line to the curve f(x)= at the point(,4).

A: The tangent line is horizontal where y'=0. So at first we differentiate the given curve and equate…

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: 6. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

A: Given that: x.sin2y=ycos2x