Find the tangential component aT and the nor mel component aN of acceleration at the tz 1 if rCt)=(5t1,3 In Ct), 7 t?} aN C4 = ?

Q: tant dt 9,

A: To find the given integral ,use the substitution u=tan t .

Q: The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters,…

A: Let base= B  Altitude= H Given that B= 36 , H=50 , dB=0.25 , dH=0.25

Q: of Q tind diretion derivative of 2メ×+sin ++ll tnthedirection of vector 3.

A:

Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

A:

Q: Calculate the derivative 24 dt using Part 2 of the Fundamental Theorem of Calculus. a va a sin (a)

A:

Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct

Q: Exercise (c) Show that y = Vx has a vertical tangent line at (0, 0). ...

A: first we will find derivative of function. So, derivative will be slope of tangent. for vertical…

Q: For centripetal acceleration a : [r-a ...). ar sine

A:

Q: Which order of differentiation will calculate fxy faster: x first or y first?  a. ƒ(x, y) = x sin y…

A: The given function is,

Q: A 2-kg block is suspended from a spring having a stiffness of 800 N/m If the block is given an…

A:

Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

A:

Q: Suppose a particle has velocity given by v(t)=sin(t). What is the net displacement of the particle…

A:

Q: Use a linear approximation (or differentials) to estimate the given number. V 99.4

A:

Q: 8- 1 į ult1)}

A: We have to use integral formula.

Q: Resolver por transformada de laplace  Y"+4y=cosx.  Y(0)=1  y'(0)=1

A:

Q: The side of a square floor tile is measured to be 20 inches, with a possible error of 1/32 inch. Use…

A: The given question is of the application of derivative where x=20 inches, and dx= 1/32 inches given.…

Q: Determine the second moment of X about origin

A:

Q: tany = C secx

A: The question clearly asks us to find the family of orthogonal trajectories of the given family.…

Q: If ø = 4xy, find x and y components of the velocity at (1, 4) and (4, 4). Calculate the discharge…

A:

Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: Define Testing for cointegration when θ is unknown ?

A:

Q: Determine the least radius of curvature of the exponential function y=ex.

A:

Q: Find the set of orthogonal trajectories for r = VA sin (2e)

A:

Q: A wheel starts from rest and rotates about a fixed axis with a constant angular acceleration of 4.6…

A: Use the circular motion equation, ω=ωo+αt      where ω=final angular velocityωo=initial angular…

Q: If =4xy, find x and y components of the velocity at (1,4)  and (4,4). Calculate the discharge…

A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…

Q: Provide 3 examples of the application of derivates (Newton's method).

A:

Q: The measurement of the side of a square floor tile is 16 inches, with a possible error of 86 nch Use…

A: we know the area of square is x^2.

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

A:

Q: Two particles have positions at timet given by the equations x, =t -t and x, =6t2 -t°. Find the…

A: Given two position functions x1=t3-t and x2=6t2-t3 as a function of time t To find the velocities…

Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: Given: The radius of the circle is 4m and with an error ±0.5m To find the relative error ∆AA≈dAA "As…

Q: Apply Gauss's theorem to evaluate. A

A:

Q: The centripetal acceleration of a particle moving in a circle is a = v2 -, where v is the velocity…

A:

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

A:

Q: (a) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

A:

Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: 1 J sec- ztan - zdz

A: Solve the following

Q: A baseball is thrown from the stands 25 ft above the field at an angle of 40" up from the horzontal.…

A: Given that a baseball is thrown in projectile motion from the stand of height 25ft. at an angle with…

Q: (а) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

A:

Q: Find the total differential.

A: w=3x+y4z-9y

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

A: GIVEN DATA : Velocity of  the particle v(t)=sin(t)        TO FIND : Displace of the particle on 0,…

Q: , (a) Find the directional derivative of at (-2,1) in the direction u = ?-j. X.

A: Since you have asked a different question. I am answering the first one. Please post the question…

Q: Solve eq using Laplace إےدلو ـ+عهحهد ويم(اوطهنبمللہعمتلتـحواوع+يا إى"دن'و فكو هخ وه) ر تهوود…

A:

Q: 1. Calculate / Vt In(2t) dt

A: Note :- As you mention for help in question no. 1 so i am solving only this one.

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: projectile motion

Q: 3 Σεπ %3D From the properties of characteristic equation of strain Lɛ,

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: What is the slope of the segment in the slope field for dy/dt= ty + 1 at the point (2, 3)?

A:

Q: How do I find tangential and normal components of the acceleration, from question 5b

A: Let's find tangential and normal components of acceleration.

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

A: