CALCULATE THE DOMAIN OF r(t)=(1/t,ln(3-t),sqrt(t))

Q: y 800 400 20 40 60

A: Given: Graph is given.    ∆y = (400-200)= 200     ∆x = (50-40) 10

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: This is required solution. May this help you.

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Let fit) = the water level in container (in mL) after t hours. Initial level of water was 18 mL, the…

A:

Q: (2) Define: F(x)=√(r² + 1). e³r+² dr. (a) Use the fundamental theorem (II) to find the derivative…

A: The given integral equation is:F(x)=∫x0 r2+1 ·e3r+2 dr

Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: If f(t) = (12 + 7t + 5)(5t² + 4),

A: To  a.find f'(t) b. find f'(3)

Q: If f(t) = t^2 - 5t + 4 represents the rectilinear motion of a particle, the particle changes…

A:

Q: cr3+lnx etermine the equation of the tangent line to the graph of f(x) = V3+ 5t5 dt at x = 1.

A:

Q: (A) Graph the function fx) = x-2 sinx in the viewing rectangle [0, 8] by [-2, 8]. (B) On which…

A: Consider the equation

Q: G(r)= Vr+ 6

A:

Q: d Find {1+ 2x + 3x*} dx Find the equation of the tangent to y = 1++ 2x + 3x4 at the point with…

A: Since there are multiple questions present and you have not specified which question to answer,…

Q: Estimate f(5.07) for f as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

A:

Q: Consider the function y = x^3 + 2^2 − 3x a) Sketch the graph of function. b) Find the instantaneous…

A: This question can be solved using the concept of graphs and derivatives.

Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by S(t) =…

A: sand is poured into a bucket for 30 seconds. after t seconds, the weight in sand is given by…

Q: help me understand this.    F(x)= 3x-x^3 what is/are the x-intercept(s)?  what is the y-int? what is…

A: Given, y = F(x) = 3x - x3 For x-intercepts, y=0 ∴ 3x - x3 = 0 =>x(3-x2) = 0 =>x = 0, √3, -√3 ∴…

Q: Q2) Use implicit differentiation to find y'" if y2 – 2x = 1 – y

A:

Q: ) Use L(x) to approximate f(16.1).

A: For a given function f(x) the linearization at a point x=a is denoted by L(x) and it is defined as…