fcx)= 3. g (x) %3D %3D X-1 Fof FCF (x))

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 3 s...

A: We use derivative to find rate of change s(t) =3sint 

Q: Perpendicular Lines Is it possible for two lines withpositive slopes to be perpendicular? Why or why...

A: We have been given that the two lines have positive slopes. 

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A:

Q: Suppose that the position of a particle is given by s = f(t) = 5t³ + 6t + 9. (a) Find the velocity a...

A:

Q: Evaluate the integral 7e* sin(t – s) ds

A: Explanation of the answer is as follows

Q: The weekly sales of Honolulu Red Oranges is given by g = 1134 – 18p. Calculate the price elasticity ...

A: a) The given demand function q=1134 -18p E(p) = pq×dqdp        =pq×-18        = -18p1134 - 18p

Q: Multiple Answer Question- select all correct answers. Let f(x, y)=x³-xy+y°. At which of the followin...

A: to find the points in the domain of f(x,y) when the given function is local minimum.

Q: Biodiesel Production The table shows the biodieselproductions y (in thousands of barrels per day) fo...

A: Given: To : Plot the data by hand and connect adjacent points witha line segment. Use the slope of ...

Q: Please complete part a

A: Here, the region is given by Ω={(x,y):-1≤x≤0, -1-2x≤y≤x2}∪{(x,y): 0≤x≤1, 2x2-1≤y≤x2}.

Q: use the graphs to find a 8 > 0 such that |f(x) – L| < e whenever 0< |x – c| < 8. y=2x-4 6.2 6. fx) =...

A: Given: The graph, To find: The value of  δ&gt;0 such that  f(x) -L&lt;ε  whenever  0&lt;x-c&lt;δ

Q: The graphs of f and g are given. Find a formula for the function g. #55 and #57 please. Show work if...

A: We have to find the function g(x) using the given graph.

Q: Evaluate Vx(3xj) •n do where S is the hemisphere x + y² +z? = 4, z20. Use the normal vectors pointed...

A: Please see the explanation below

Q: Prove the power property of logarithms: log, x" =p log, x.

A: Prove the power property of logarithms :    logbxp=p logbx

Q: Use integration by parts to evaluate the definite integral + dt.

A:

Q: Find the equation of the tangent line to the curve y = 8 sin z at the point 4). (중· %3D The equation...

A:

Q: Find the maximum rate of change of r at the given point and the direction in wnich it ocCI f(x, y) =...

A: Given that, f(x, y) = 4y2x Point = (2, 3)  

Q: (c) Is it possible for the probability to equal 100%? Explain. 124. Exponential Probability Between ...

A: To find the time

Q: 38. The monthly sales for January for a whole foods market was $60,000 and has increased linearly by...

A:

Q: For Exercises 109-112, graph the function. 109. f(x) = log,(x + 4) 110. g(x) = log;(x - 3) 111. k(x)...

A: We have to draw the graph of fuction. 109.

Q: Calculate the left Riemann sum for the given function over the given interval, using the given value...

A:

Q: Please answer clearly

A: Draw region that we are going to solve and than take the difference of given equations and integrate...

Q: B f(x) A C. 3.9 4 4.2 The function in figure above has f(4) = 19 and f' (4) = 1.6. Find the coordina...

A:

Q: If limf (x) = 47 and f' (x) is positive for all .x, what is limf' (x)? (Assume that this limit exist...

A: limx→∞f(x)=47 means that as x approaches to infinity the value of the function will approach to 47 N...

Q: Refer to the graphs of f(x) = 2" and the inverse function, y = f x) from Exercise 65. Fill in the bl...

A: We have plotted the functions f(x) = 2x (in red colour), and its inverse f-1(x) = log2x ( in blue co...

Q: I need help on this!

A: We use here exponential growth formula for height.

Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

Q: 53. Is the function given by Sx + 1, for x << 4, f(x) -x + 7, for x 2 4, continuous at x = 4? Why or...

A: Given a function, f(x)=x2+1,      for x&lt;4-x+7,     for x≥4 To find whether the function is contin...

Q: find a linearization at a suitably chosen integernear a at which the given function and its derivati...

A: Given that the function is  f(x)= e-x, a= -0.1 To determine the linearization for the function.  The...

Q: Let A = f(t) be the depth of tread, in centimeters, on a radial tire as a function of the time elaps...

A: As time passes, the tread of the radial tires will wear out i.e. the depth of the treads will decrea...

Q: Find f ◦ g ◦ h where f(x) = |x − 4|, g(x) = 2x , and h(x) = √ x.

A: We have given f(x), g(x), h(x)  We have to find fogoh

Q: Solve for x: ln(x2 + 1) − 3 ln x = ln(2).

A: Our Aim is to solve the equation given below forx ln (x2+1)-3 ln (x)=ln (2) -(i)

Q: Is it possible to get the area between y2 = 3x and y = x3, using  a. vertical strips b. horizontal s...

A: finding the area 

Q: Show that f (x) = (x2 + 1) −1 is one-to-one on (−∞, 0], and find a formula for f −1 for this domain ...

A: The given function is fx=x2+1-1. This implies that, fb=fab2+1-1=a2+1-1b2+1=a2+1b2=a2b=a     on -∞, 0...

Q: 1 Graph: f(x) = (x – 1)*

A: To graph the given equation

Q: Write down the equations of any two distinct planes with normal vector n = 〈3, 2, 1〉that do not pass...

A:

Q: If u is a unit vector find the dot product of vectors u and w

A:

Q: Which of the following limits represents f (3) if f(x)= 4x². O A. [(4x? + 1) + n]-37 lim h→0 O B. [(...

A: we have given f(x).  We have to find f'(3) 

Q: Find the center of gravity of the triangular lamina with vertices (0,0), (0, 1), and (1, 0) and dens...

A:  

Q: 6cose+3=0

A: here we get theeta =2π/3

Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given function is as below :

Q: Find the exact maximum value and exact minimum value of the function on the given interval. Explain ...

A: We have to find the exact maximum value and exact minimum value of the following functions on the gi...

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

A:

Q: Find the limit for the following fune V1+x-1 lim 1)

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

Q: solve each inequality algebraically.

A: Given that the inequality algebraically. To solve this inequality :-

Q: please help with 3 and 4

A:

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: In Exercises 39-40, graph each polynomial function. 39. f(x) = 2x²(x – 1)°(x + 2) 40. f(x) = -x°(x +...

A: f(x)=2x2(x-1)3(x+2)f(x)=2x2[x3-3x2_3x-1](x+2)f(x)=2x2(x+2)(x3-3x2+3x-1)f(x)=(2x3+4x2)(x3-3x2+3x-1)f(...

Q: Exercises 5,2 Q, Find dy/dx How 2 y= Csc x-9/+7 E y= CoSx + X_ COSX

A: To find the derivative of the followings. y=cscx−4x+7y=cosxx+xcosx

Q: A magnetic field, B, is given as a function of the distance, r, from the center of a wire as follows...

A: Graph continuity and differentiability

Q: 2 The charge for a bicycle repair was $9.28 for parts, hour of labor at $18 per hour, and a $2 shop ...

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload...

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.