Find the exact length of the curve (a) x = 1+ 3t2, y = 4+ 2t³, 0

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

A:

Q: Determine the equation of the tangent line for y = sech(In x) + tan-(x²) tangent at x = e*. A. Yr =…

A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

Q: y=8sin(x)cos(x) ; x=pi/3

A:

Q: Use implicit differentiation to find dydxdydx without first solving for y. x^4+y^4=−2 dy/dx=?

A:

Q: A curve passes through the point (2,0) has gradient dy at point (x, y) that satisfy the dx equation…

A:

Q: What is the average rate of change of y = cos (2x) on the interval [0,π/2]

A: Given f(x)= y=cos (2x) to find the average rate of change over the interval (0,pi/2) average rate of…

Q: find dy/dx for (3x^2-2y^2)^2= cos(x-y) using implicit differentiation and simplify. then find the…

A:

Q: Find i) Partial derivative. tii) of the function i Z= 200+xy Level Sur face エエ

A: Given z=200+x2y2 i) Partial derivative zx=0+2xy2=2xy2zy=0+2x2y=2x2y ii) Level surface of the…

Q: If the acceleration of a particle is given by ä = sint i+ cost +e k, find the relity and position…

A: The acceleration of a particle is…

Q: Find the maximum rate of change of the function f(x,y) = sin (xy) at the point (4,0) and the…

A: The given function is f(x,y)=sin (xy) and the point is (4,0)=(a, b). to find : Maximum rate of…

Q: 1) Find dy/dx by implicit differentiation.   sin(x) + cos(y) = 7x − 4y

A:

Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: Find the length of the curve y=ln(sec(x)), 0≤x≤π/4.

A: please see the explanation below

Q: What is the equation of the tangent line to the function y = e-* – arcsin( 2 at x= 0 ? A) y - (1+) =…

A:

Q: You would like to use differentials to approximate the change in BMI when weight increases from 55…

A: Given: The function represents body mass index(BMI) is  Bw,h=wh2 where, w means weight in kilograms…

Q: 2. What is the largest possible area of a triangle with its base on the x-axis between x= 0 and…

A: The given curve is y=sinx. To find the largest possible area of the triangle with its base on the…

Q: ind dy/dx by implicit differentiation for the curve  ex/y = x + y.

A: we differentiaite both sides with respect to x:

Q: y = 3x arcsin x = 3x aresin r -1 ons of all tangent lines to the uve slope 2. ation of the tangent…

A:

Q: A curve y = f(x) have length of the curve from x = 0 to x = 1/2. dy Vcos(2x – 2) as its first…

A: We have to find

Q: TOL Company Ltd have undertaken an investigation for a client cor and has discovered that the total…

A:

Q: Find the maximum rate of change of f (x, y) = xy ^ 2 + root (y) at the point (2,1). in which…

A: The maximum rate of change of f(x, y) happens along the direction grad(f) at the given point (2, 1).…

Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

A:

Q: What is the equation of the curve whose tangent line passes through the point sec (In x) dx? (1,2)…

A:

Q: At any point (x,y), If dy/dt=D0 and dx/dt is non zero then curve has no tangent none of these…

A:

Q: What is the equation of the tangent line to the function y = e-* - arcsin) x+1 2. at x= 0 ? A) y-…

A:

Q: Consider the curve given by cos(x)+cos(y)+2x+y=2. Determine dy/dx for this curve using implicit…

A:

Q: Find the length of the curve f(x) = ln(sin x), 0 ≤x ≤π/6.

A:

Q: 2. Use implicit differentiation to find dy/dx: e"y+ In(arcsin 2y) = 3ª ln y + 5.

A:

Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

A:

Q: 2. Find the length of the curve: y = 2 In (sin (÷x)); -< x

A:

Q: Find dy/dx 1. y = x^2(sin^−1 x)^3 2. y = e^tanh x/x^2 − sechx 3. y = tan^−1 (sechx) + sech(tan^−1…

A: We expert are following guidelines.We are supposed to do first question. We have to find dy/dx

Q: A particle moves along the curve y = x3/2in the first quadrant in such a way that its distance from…

A: Let w de the distance between origin and the particle at any time t. Given that, dwdt=11 Now by…

Q: Use linear approximation (or differentials) to estimate the given number. 3 а. V8.12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. Find ihe point where the normal to y = x + Vx at (4,6) crosses the y-axis.

A: Given :- Equation of line that is y= x+x              The point from which we need to find the…

Q: b) Find the equation of the normal line of curve sin x + cos y = 1 at point

A:

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: 3/20 What is the equation of the tangent line to the function y = e*- arcsin) at x= 0 ? A) y- -(1+)=…

A:

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

A:

Q: A girl is sliding down a slide shaped like the curve y = 3e-*/3, Her y-coordinate is changing at the…

A:

Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

A:

Q: Find the length of the curve y = ln (sin x), π/6 ≤ x ≤ π/2

A: Given y = ln (sin x), π6≤x≤π2

Q: Find the length of the curve y= ln sec x, Oln OIn 2+y3 V3 OIn 2+/3 OIn V3 2-V3

A:

Q: Find y'+dy/dx for x^2+3x+1 Find Tangent Line  with x=-1

A:

Q: Find the derivative of y. y = 3ztanh (z)+3In /1-z y' = 3 sinhz y' = tanh 3z y' = 3 tanhz y' = 3…

A:

Q: 12. Find equation of normal line to curve y = 2 sin(nx – y) at point (1,0).

A:

Q: The derivative of y=eev* +cosh x equals Select one: O y' =eev +sinh 2/x 「Oy=SeV全 + sinhx 2/x ev…

A: Given: y=eex+coshx To calculate: Derivative of y

Q: A curve y = /(x) have length of the curve from x 0 to x= n/2. dy Vcos(2x - 2) as its first…

A:

Q: Find the gradient of the tangent line to the curve x² + y =10 at x=1, where y > 0. %3D

A: