x = t³ + 1, y = t³ – 1; -2

Q: Determine the value of y in the given equation in the interval [0, 2rT): 2cos-y - 3cos y = -1

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Q: The figure shows a curve C with the property that, for every point P on the middle curve y=2x^2, the…

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Q: Q3 The curve intersect with X-Axis y=x x=0 y=0 O y>0 O

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Q: Q5) Find the coefficients a, b, c and d such that the curve defined by; y = ax³ + bx² + cx + d,…

A: Given: The curve y=ax3+bx2+cx+d passes through the points 0, 10, 1, 7, 3, -11, 4, -14. To find: The…

Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: F· dr, where F(x,y) = –lj, and C is the part of the graph of y = - x from (2,2) to (–2, C

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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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: The x coordinate of the point of intersection between the two curves Y e14a and y = 1 is = x =

A: Given: y=e14xy=1

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: Find the exact length of the curve. x = e - 9t, y = = 12e2, 0 sts 4

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Consider the given equation as x=t3....(1) And y=t2....(2)

Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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Q: On the grid below, sketch a curve that satisfies the following conditions: НА: у- 1 x-intercepts: 0…

A: First we draw asymptotes x=+2,x=-2, y=1.

Q: Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d,…

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Parametrization is a way to change the parameters of a expression in such a way that domain of the…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Find the equation in terms of x by substituting x=t in the given expression   y=t2-1=x2-1   To use…

Q: Find the point on the curve g(I) z +5 that is closest to the point (-57, 5).

A: Q - Point on the curve g(x) = x2 + 5 that is closet to the point (-57, 5).f - If point on curve is…

Q: fird the equation of the fangent lineto the graph of Y= ☆ at X=2

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Q: The graph, when the curve y = √3 + x² from x = 0 to x = 4 is rotated about x - axis is A B C D

A: To find the graph of the solid formed by rotating the given curve about x axis, first we find the…

Q: Given the curve y= x^3 - 4x + 1 . At what point on the curve have the smallest slope? * O (0,1) O…

A: The given curve is: y=x3-4x+1

Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.…

Q: Find the points on the curve as results of the intersection of x² + y? + z? – 2z = 0, y+ z = 1, -…

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Q: 1. Find the equation of a curve that passes through the origin and satisfies (1 + x²)y' + 2xy = 4x²

A: Given differential equation is  1+x2dydx+2xy=4x2 Simplify the given differential equation we get…

Q: y² = x x-1

A: We have to sketch the following curves.

Q: 1. Find the equation of a curve that passes through the origin and satisfies (1+x²)y' + 2xy 4x2

A: To find the equation of the curve

Q: Find the point on the parabola x = t, y = t2, -∞ < t < ∞ closest to the point (2, 1/2).

A: Given Data The first equation is x=t. The second equation is y=t². The point is (2,1/2).…

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: Consider the curve defined by x = 2t – 1 and Y = 2 – t, for –5 <t< 3. Find an equation in X and Y…

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: We have given the curve x=et ,y=e-t ,t∈ℝ.We have to find an equation in x,y whose graph contains the…

Q: 22=xy represents the origin. ) Prove that the equation with vertex at

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Q: 2.x? Sketch the curve y= x² - 1

A: y=2x2x2-1 y=2x2x-1x+1

Q: Q: Find the point on the curve 4x' +a'y = 4a', 4< a < & that is farthest from the point (0,-2).

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Q: Sketch the graph of y = h(t), where h(t)=uπ(t)−u2π(t),t≥0.

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A…

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1)…

Q: Q4/ Find the length of the curve y () (x² + 2) from x 0 to x= 3.

A: The length of a curve f(x) on an interval [a,b] is: L=∫ab1+(f'(x))2dx Where f'(x) is the first…

Q: Any help will be useful.

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given parametric curve is, x=2ty=8t3-1≤t≤1 From the parameter of x, x=2tt=x2

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: x = t? + 2t ; y = 3t + 1; Compute when t = 2. Is the graph concave up or d2x down at that point.

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Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

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 points on the curve x2y = 2 nearest the origin.

A: The curve is x2y=2 Let x1,y1 and x2,y2 be two points, distance betwwen these points is x2-x12+y2-y12

Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem