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

Q: (a) Compute the arc (1,3, 1/3). F(t) = (t, 3, t) between the points (0,3, 0) and length of the curve

A: These 2 are unrelated problems as anyone can be solve without any help of another. So by Bartleby…

Q: 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = to…

A: If a function f(x) is defined over an interval [a,b], then the formula for arc length is: Formulae…

Q: he tangent line to y = f(1) at (-3,9) passes through the point (9,-3). Compute the following.

A: The slope of the line passing through the points, (x1,y1) and (x2,y2) is given by .

Q: 3. What is the length of the curve r = cos3 (-) where 0 < 0 <- 4

A:

Q: Find the length of the arc of the curve  where y=x^2+1 from the point  where y=1 to the point…

A: Formula to find the required arc length. Formula to find the arc length for the limits of y is…

Q: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

A:

Q: find the arc length of the curve on the given interval y = (x3/2/3)-x1/2 on [4, 16]

A: Given:- y = (1/3) (x3/2) -x1/2  To find  length of arc length over interval [4, 16]

Q: Find the arc length of the graph of the function y=2x32+3y=2x32+3 over the interval [0,9][0,9].

A: Here we have to find the arc length of the graph of the function y= 2x3/2 +3 over the interval [0,9]

Q: Find the length of the arc of the curve y =: +e*) from x = 0 to x =2.

A: y=ex+e-x2

Q: 1. Find the are length of the curve x (+ 2)/2 from y=0 to y-1

A:

Q: 1 Find the length of the curve x= from y 1 to y=2. +. 16y

A:

Q: 1 2. Find the length of arc of the curve x = + from the point where y = 1 to the point where y = 2.…

A:

Q: 10. Find the length of the curve y = x/2 + 8 on the interval [0, 2]

A:

Q: Find the following for a q-curve with parameters κ = 4 and ν = 11. a. The q-value having area 0.05…

A:

Q: Compute the arclength of the following curves. (y-1)³ =x², for 0 <x< 5 а.

A: We have to compute the arc length for the function y-13=x2, for 0≤x≤5.

Q: Зп 2. Find the exact length of curve y = ln (cosx), * < x < n. 4

A:

Q: 4. Find the length of the arc of the curve 6xy=yt +3 from the point where y - 1 to the point…

A:

Q: Find the arc length of the graph of the function over the indicated interval. y = 3, [64, 125]

A: The arc length of curve f between the points a and b is given by s=∫ab1+f'x2dx.

Q: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…

A:

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

A: Given y=3xlnx at point 1,1

Q: Find the length of the following curve. 3 y = 2x from x = 0 to x= 1 The length of the curve is

A: Given curve y=2x32 The length of the curve have to be found from x=0 to x=1 The length of curve…

Q: Find the length of arc of the curve 6xy = x^4 + 3, from the point where x=1 to the point where x=2

A: The given curve is: 6xy=x4+3 y=x46x+36xy=x36+12x Differentiate it: dydx=3x26-12x2dydx=x22-12x2

Q: Find the length of the arc of the curve y=x+3 from the point where y=2 to the point where y=x^2+1…

A: y=x+3  ⇒x=y-3⇒dx=dy⇒dxdy=1 The formula for the length of the arc from the point y=2 to y=x2+1…

Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to…

A: This is a question related to derivative of the function. Based on the general formula we will find…

Q: Determine the following for a q-curve with parameters κ = 6 and ν = 13. a. The q-value having area…

A: Introduction: The studentized range distribution, the curve of which is called the q-curve, is the…

Q: Find the exact length of the curve. 1 1sys 2 4y2' X =

A:

Q: 1. Use four equal-length Hermite curves to interpolate y = sin(x) in the interval [0, 2r].

A:

Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

A:

Q: Find the arc length of the graph of y = √(16 − x2) over the interval [0, 4].

A: Given: y=16-x2 interval [0, 4]

Q: 1. Find the length of the curve y = x2 from x 1 to x = 4.

A: According to our guidelines, we can answer only the first question, the rest can be reposted.

Q: Can i get help step by step with this problem?

A: Find the derivative by the quotient rule:

Q: Between z=-2.00 and z=2.00

A: Obtain the area under the normal curve between Z=–2.00 and Z=2.00. The area under the normal curve…

Q: B) Find the skpe of the Ine tangen to the curve y = sin-x at the poit

A:

Q: The tangent to the circle x2 +y2 +10 x+5 y= 60 at the point (2 ,4) is Select one: O None O 13 y +…

A: Given that:x2+y2+10x+5y=60

Q: 4) Determine the equation for the shortest arc that passes through the point (0, 0) and (1, 0) and…

A:

Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

A:

Q: 4. Find the length of the arc of the curve 8y = x + 2x-2 from the point where x = 1 to the point %3D…

A:

Q: 3/2 The length of the curve x= 4y2 from y=1 to y= 4 is given by

A:

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: 1. Find the are length of the curve x = (y + 2)2 from y-0 to y=1

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 6 - Find the length of the curve y = (x)7 from the x = 0 to x = 4. a) O 8/27(10^(3/2)+2) b) O…

A: .

Q: so the value unden tne curve between n u a nd x is appoximalely 0.49916 αρροκίωπn and the value* is…

A: mean = 207 s = 42

Q: Find the arclength of the curve y=3/2x^2/3 for x=1 to x=8.

A: Find the arclength of the curve y=3/2x^2/3 for x=1 to x=8.

Q: Find the arclength on y = 4x3/2 from x is greater than or equal to 1 and less than or equal to 3

A: given: the function is y=4x32. we have to find the arc length on y=4x32 from x is greater than or…

Q: Find the arc leng th of the curve given by Ost s2

A:

Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

A:

Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: 10. Find the length of the curve y = x/2 + 8 on the interval (0, 2]

A:

Q: what is the length of the curve y=1-cos(x) from x=0 to x=4pi

A: The given curve is  y = 1 - cosx dydx=0 - (-sinx)  =sinx

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.