on using a single vector function (including domain) of the following curves in R

Q: Suppose that an automobile's velocity starting from rest is v(t) = lecimal place. O 3.3 ft/sec2 O…

A: Acceleration

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: Find the length of the loop of the given curve. x = 6t - 2t³, y = 6t²

A:

Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: 2k, {}) 4k

A:

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: A football Jersey is marked Jown 13 dollars each week for 4 weeks. Find the total change in the…

A:

Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: Two oil tankers crash in the Pacific Ocean. The spreading oil slick has a circular shape, and the…

A: We need to find radius and area.

Q: It's wrong

A:

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

A:

Q: 4. Using a right triangle, find the exact value of cos cos (tan-¹²).

A:

Q: Solve the following recurrence relations: (a) an = 3an-1-2, ao = 0 (b) an 2an-1+(-1)", = ao = 2 (c)…

A: Since, you have posted question with subparts. As per guidelines, we are supposed to answer only…

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: Write the following limit as a definite integral on the interval [3, 8], where c, is any point in…

A:

Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: A force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: Given that, Force required = 6 pounds to hold spring streched 0.6 feet beyond its natural length. To…

Q: Part b pls

A:

Q: 19. lim x²-5x-24 x-5 x²-9

A:

Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

A:

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

A:

Q: a. Find dy CLIC

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Transform the given differential equation into an equivalent system of first-order differential…

A:

Q: In the diagram below, find b to the nearest tenth. A 4.5 4.2 4.4 4.1 b =? 60° a = 5 50° B

A: We can find the value of b in the below steps, using sin law.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

A:

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

A:

Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

A:

Q: Use graphs to evaluate 2π S 0 sin x dx and 2π So 0 cos x dx.

A: The given integrals ∫02πsinx dx and ∫02πcosx dx. We have to find the value of the integrals using…

Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: The surface of a machine part is the region between the graphs of y₁=1x and y₂ = 0.100x² +2.500 as…

A: Given that , y1=x , y2=0.100x2+2.500 Find the area of the surface of machine port.

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

A:

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

A:

Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

A:

Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: 15

A:

Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

A:

Q: 1 1 1 은 관 + dt

A:

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

A:

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: What is the exact value of the definite integral?

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Find f such that f'(x) = 4x² + 3x - 4 and f(0) = 4. f(x) = C

A: Given f'(x)=4x²+3x-4 We know, ∫xndx= x(n+1)/(n+1) +C, C is a constant