The siope of a line tangere to the curve y=fx)at(3 4) 0f iz cists) equais

Q: What is not true about the curve y = as x-∞, y 0 None of the Choices Domain is 1 < x <∞. O Intersect…

A: Given curve is y=lnx-1xex The following options are verified as shown below.

Q: Consider the curve z = 1 – 3t, y =t-3t. If tangent at point (1- 3t, t- 3t) inclined at an angle 0 to…

A: Consider the curve x=1-3t2,y=t-3t2If the tangent at point (1-3t2,t-3t2) inclined at an angle θto the…

Q: The parametric curve x= 414 + 412 + 1, y= 5t 3 – 5t has two tangent lines at the point (9, 0). Find…

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Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: A stream line is a line that is everywhere tangent to the velocity filed ylgn O İhi O

A: Given that A stream line is a line that is everywhere tangent to the velocity field

Q: Determine the arc lenght of the curve 9x2 = 4(y² – 1)³for 1 <y<2.

A: This question is related to calculus.

Q: 4. Does there exist a simple closed unit-speed plane curve with curvature less than or equal to 2…

A: In a simple closed unit-speed plane curve, curvature =1r According to the question, Area of the…

Q: Find the length of the curve y =/2 from z = 0 to z = 3. %3D

A: Integration of (1+(f'(x))2)1/2 form 0 to.3

Q: A point starts at (x, y) = (6,0) and moves CCW along a circular path centered at (x, y) = (0, 0).…

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Q: 4) The lemniscate curve (x2 + y² )² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who…

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Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 8)3,  P(1, 9),  Q(8, 12)

A:

Q: Find the angle of inclination 6 of the tangent plane to the surface at the given point. x2 + y2 =…

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Q: for the reparametri zations alt)= (t, Cosht, o), tER. Find two Curve %3D

A: Given curve is αt=t,cosht,0 We have to find the reparameterization for the given curve.…

Q: 2. Find the angle of intersection between the following pairs of curve. Express your answers in…

A: We know that; The expression for the angle of the intersection between the two curves is:…

Q: set up intergral for the length an of the Curve 3T y%3DZ0* sin cx), 04XE

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Q: 2.) What is line QP called? * U R. V S T Secant Tangent O Slicer Chord

A: In circle, all the point are at the same distance from the center.

Q: 1. Point K is located at (4. 2, 0. 3)and point Lis located at (5. 8, -0.6). What is the location of…

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Q: )2. Find the paramehic from the cuve check whether the cure is a repulor cuve. Alo reparzmetije the…

A: We have to find the parametric form of the curve

Q: The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of…

A: ANSWER: TRUE

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y − 4)3,  P(1, 5),  Q(27,…

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Q: GD and GF are common external tangents with points of tangency at D, C, F and E. Why is AGBF AGAE?…

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Q: 2. Find the linear speed of a point that moves with a constant speed in a circular motion if the…

A: Given arc length=7.524 miles Time=12 minutes Find the linear speed of a point.

Q: 2. Find the paramehic frim 3 the cuve check whether the curoe is a repulor cuve. Aso reparametije…

A:

Q: e tangent line to the ellipse 25 = 1 at the point (x, y). 9. %3D s where the slope is not defined?…

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Q: In R°, we have another option. We could consider a curve C being tangent to a surface S at some…

A:

Q: Find the length of the arc of the curve from point P to point Q. x2 = (y – 12)°, P(1, 13), Q(27, 21)

A:

Q: a. The perpendicular bisector of JK is the perpendicular to f that passes through P. b. Draw an arc…

A:

Q: 1. The distance betveen two parallel tangents of a circle of radius 4 cm is

A: Given radius of circle

Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 2

A:

Q: Find the exact length of the curve. x = et − t,    y = 4et/2,    0 ≤ t ≤ 5

A: We will use arc length formula to solve this questions

Q: Chebyshev's theorem is used when there is a bell shaped curve

A: Chebyshev's theorem is used when we want to find the the upper bound  of the probability. And they…

Q: What is not true about the curve y = Intersect the x-axis at (2,0). None of the Choices as x ∞, y →…

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Q: 12.6 21

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Q: A reversed curve is to connect two tangents which is parallel to each other and are 200m apart with…

A: According to question given that  V=200m, h=800m and Let R1=R2=R Now,…

Q: 4) The lemniscate curve (x² + y²)² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who noted…

A:

Q: The equation of the tangent plane to the surfice. -yeV + = 0 at the point (0,1,1) is ar + by + cz =…

A:

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4 y + 10 = 0 A. Intersects at the origin B. Are…

A:

Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

Q: Find reparametri zations two Curve aLt)=(t, Cosht, o, teR.

A: The general form of the parametric equation of the curve in three dimensional space is given by…

Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: 99. Determine the concavity of the curve x= 2t + In t, y = 21 – In t. %3D

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Q: ind the the exact length x = et – t, y = 4e/2, |

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Q: gments ST and SU are both tangent to circle V. If mZTVS = 74°, what is mzTSV? *

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Q: Find the length of the arc of the curve from point P to point Q. y = 1/2x2,  P (−7, 49/2),  Q (7,…

A:

Q: If  x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

A: The arc of the curve in the parametric form can be evaluated for the length using the formula of…

Q: PRis tangent to circle Q at R, and PS is tangent to circle Q at point S. Determine mZQ. 42° P

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Q: 2. Circles with fixed radius r and tangent to the y-axis.

A: Solution is given below:

Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

A:

Q: A compound curve passing through a common tangent AB having a length of 225m. The first curve has a…

A: For a compound curve, sum of length of tangents of both the curves is equal to length of common…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.