f(x) = x + (1/4) ,    g(x) =(x+14)//(x+2) (a)    f ∘ g (f ∘ g)(x)  =       domain            (b)    g ∘ f (g ∘ f)(x)  =       domain            (c)    f ∘ f (f ∘ f)(x)  =       domain

Q: 1. The position of a particle is ř(t) = 4.0t² i – 2.01 + 1.0¢² km. a. What is the velocity of the pa...

A: 1) To find the velocity vector we need the first derivative of r(t). v(t)=r→'(t)=ddt(4.0t2 i^ -2.0 j...

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A: Consider the figure:  

Q: a. Suppose c(t) represents Point C's distance from the wall (in meters) in terms of the number o sec...

A: It is already given, the function formula for c using  the function a is  1) c(t)=a(t)+3 and   the f...

Q: If f'(x) = /cosec*x-1 then what is the arclength of the curve y= f (x) on со ? 3 A) 1 В) 3 C) 2 D) V...

A:

Q: What is the volume of the solid revolving the region between y = e* , y=0 which lies on the left of ...

A: Volume of solid revolving the region between y=ex  , y=0 which lie on the left of x=1 about x axis  ...

Q: Given that a circle has a diameter of 8cm, What is the area of a quarter of this circle, in cm squar...

A: Given the diameter of the circle d = 8 cm

Q: Evaluate the following limits: 5 sin(2x³) 7x3 lim 6 cos (x³) – 6 9x3 lim

A:

Q: Simply the expression. cos^2theta/sin^2theta +1

A:

Q: If f is a continuous function satisfying f(x) = x* -x+(1-x)f,f SMdi+ x[ (1 -t*)f@)dt for all x, then...

A:

Q: If f(x) = xcosx then lim f(x+h)-f(x) _ 2 h-0 h A) xcosx (sinx Inx +cosx) B) xcosx (cosx lnx +cosx) C...

A:

Q: Can you please show all the steps and explain them, along with the methods used

A:

Q: One of the following equations is exact. Another one will become exact if you multiply it by y. Use ...

A: Rearrange the terms of first differential equation. ln y-2x+xy+ydydx=0ln y-2xdx+xy+ydy=0  

Q: x3 -x2 - 6x x² +3x - 4 | 1. Sketch the graph of y = f(x) Complete the table. Include all intercepts ...

A: Given function is, y=fx=x3-x2-6xx2+3x-4

Q: Help

A: 1)545=?

Q: Sketch and explain the following (Function graph)

A: limx→-∞f(x)=-∞ means on the left side the graph goes downwards.limx→∞f(x)=7 means on the right side ...

Q: Solve 3a2x2+11abx+6b2=0,a10

A: Given equation;    3a2x2+11abx+6b2=0   Splitting it as;  3a2x2+(9+2)abx+6b2=0  3a2x2+9abx+2abx+6b2=0...

Q: In Exercises 1–6, sketch the given curves together in the appropriate coordinate plane and label eac...

A: "The last equation is considered as y=15x since the given expression does not represent an equation ...

Q: Construct a table of values to investigate the following limits:

A: Given: fx=1x,x≤-1x2-2,x>-1 For finding given limit, we x=0 in given expression

Q: Reduce the expression and then evaluate the limit: x4 – 100) 10 – x2 lim lim x→-V10 x→-/10 ( simplif...

A:

Q: Determine the limit: lim x→5* 200 – 8x² х - 5

A: limx→5+200-8x2x-5

Q: please help

A:

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: Use the listing method to express the set S = ((1,3] x {2,4}) n z².

A: Given, S=(1,3]×{2,4}∩ℤ2 We have to express it in the Listing method, As we know, ℤ2=(a,b) where a,b∈...

Q: 4. Solve the initial value problem: (x²+4y²) = xy, y(1) = 1. (You may leave your solution dx as an i...

A:

Q: 1 If lim f (x) = 0, then lim f(x)·sin = ? x-C A) -1 B) 1 C) 0 D) 2 E) Does not exist

A:

Q: Differentiate the function and please solve step by step

A:

Q: 4) Let lim f(x) = 7, and lim g(x) = 6. Find lim 37) g(x)

A:

Q: If f(x) = x3 + 1, then give the following. (a) the value of f at x = −1 is f(        )  = (b) the va...

A: The given function is, f(x)=x3+1. (a) Obtain the value o f(-1). f(x)=x3+1f(-1)=(-1)3+1f(-1)=0 (b) Ob...

Q: dy+(2ycot(x)+sin(2x))dx=0 Solve the differential equation given in the figure.

A: Given differential equation is:                 dy+(2ycot(x)+sin(2x))dx=0

Q: Find the Period of the following functions and show your complete solution. Answer a-d. a. –3 cos 6x...

A: we will find the period.

Q: Determine whether the integral is convergent or divergent. el/x dx convergent O divergent If it is c...

A:

Q: Find f(a + h) − f(a) for the function. Simplify your answer. f(x) = − ((1/2)x)+5

A: Given, f(x)=-x2+5

Q: Solve step by step

A:

Q: #8 Please

A:

Q: (1.012 x 10-2) + (2.4 × 10-4) A 3.412 x 10-6 1.036 x 10 3 C 1.036 x 10-2 3.412 x 102

A: given(1.012×10-2)+(2.4×10-4)⇒(1.012×10-2)+(0.024×10-2)⇒10-2(1.012+0.024)⇒10-2(1.036)⇒1.036×10-2

Q: Write equations of the lines through the given point parallel to and perpendicular to the given line...

A: Hi,  As per Bartleby rules we are supposed to do only one question at a time.  Kindly repost other q...

Q: The table gives the values of g near 3, but not equal to g. Use the table to estimate lim g(x) = X-3...

A: The given table is,

Q: Let R be the regian bounded by the graphs of y=x-3,y=0 and x= 6. (A.) Sketch region,R (B.) Find the ...

A: Given y=x-3 y=0 x=6

Q: If 2A=3B and 4B=5C (i) A:C (ii) A:B:C

A:

Q: If (4x2+xy):(3xy-y2)=12:5 ,Find x:y

A:  

Q: 31. b. ii. Detemine the four-digits numbers, with distinct digits, which is livisible by 5, that can...

A:

Q: Let A = (-3, 0, –5), B == (3, –2, –5), and P = (k, k, k). The vector from A to B is perpendicular to...

A: The dot product of two perpendicular vectors is equal to zero.

Q: Question 6

A:

Q: How does one find the domain of an equation like this? Please explain clearly

A: Domain of the function f(x) is set of all possible values of x

Q: If you can solve my problem fast that would be amazing thank you!

A: We have to use sine serious sum formula.

Q: Use the substitution u = 6x + 3x to evaluate the indefinite integral below. 3) + 3x dx Write the int...

A: To evaluate the integral

Q: The formula ______ is used to get the maturity value in a compound interest environment.

A: The amount received on due date or after maturity of security holding by the investor after a period...

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A: We have to find the equation of plane 

Q: rage value of the function f

A: The function given is fx=7-x . To determine the average value of function , use the formula . A=1b-a...

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A: Explanation of the solution is given below...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.