Find the first and second derivatives of the function. f'(u) = f"(u) = f(u) = U 2 +6 (-u²+6) (u² + 6) 2 (-2u(u² + 6)2 + 2(6 − u²)(u² + 6)) (u²+6)4 Need Help? Read It SUBMIT ANSWER

Q: Please find all values of x.

A: Step 1: Step 2: Step 3: Step 4:

Q: Using the Chain rule please and thank you

A: Q. 1. Finding f[g(-5)] Using the Chain Rule  We are given the functions:  ∙ f(x)=2x2−5x∙ g(x)=6x+2…

Q: 2. The growth of bacteria in food products makes it necessary to time-date some products (such as…

A: Let me solve this step-by-step.(a) Finding time when bacteria count reaches 3000 million:We need to…

Q: 2. (i) Which of the following statements are true? Construct coun- terexamples for those that are…

A: Approach to solving the question:(i) True or False Statements(a) True. Every bounded sequence in(RN)…

Q: 11 fr² Find√² du In(x+u)

A:

Q: Question 1 (1pt). The graph below shows the velocity (in m/s) of an electric autonomous vehicle…

A:

Q: The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2…

A:

Q: Exercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution…

A:

Q: Question 2 (1pt). Evaluate the following (definite and indefinite) integrals (a) / (e² + ½) dx (b) S…

A: If you have any problem let me know in the comment section thankyou.

Q: 4. Which substitution would you use to simplify the following integrand? S a) x = sin b) x = 2 tan 0…

A:

Q: The boom OA carries a load P and is supported by two cables as shown. Knowing that the tension in…

A:

Q: Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (3,7,6)

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. The size of a claim is modelled by F(a, λ) with a fixed a a maximum likelihood estimate of A…

A: We are given that the size of a claim follows a Gamma distribution  Γ(α,λ)with:  Shape parameter…

Q: Find the ONe sided limit lim 2x X-2 1-x

A:

Q: The areas of the regions bounded by the graph of the function f and the x-axis are labeled in the…

A:

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Step 1:Step 2:Step 3: Step 4:

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. y 5 f 20 30 t (a) Evaluate g(x)…

A: Step 1: Step 2: Hint:- In (b) I used mid-point theorem. Step 3: Step 4:

Q: 2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²),…

A: Step 1:A. A vector field F is given such that we have to verify the differential identity given…

Q: 4. Use the properties of limits to help decide whether each limit exists. If a limit exists, fi lim…

A: (a)x→4lim​(2x2−4x+5)Since the given function is a polynomial, it is continuous everywhere. By the…

Q: Find the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9…

A:

Q: 2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use…

A:

Q: I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f(x) = √√x+3 and g(x) = 6x − 2. Find each of the following composite functions and state the…

A:

Q: a) let SSK : A->R be function and let c be acluster Point of A if lim S, (x) exists for each i=1, 2,…

A: For this Question, please replace g(x) with f(x)

Q: r

A:

Q: A tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A…

A: a)We start by setting up the rate equation for the salt in the tank. Let y(t) be the amount of salt…

Q: Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate…

A: Given, Initial population (P0) = 6500Annual growth rate (K) = 0.35% = 0.0035 We know that,…

Q: 3) If a is a positive number, what is the value of the following double integral? 2a Love Lv 2ay-y²…

A: The given double integral is:   ∫02a​∫−2ay−y2​0​x2+y2​dxdy   Step 1: Interpret the Region The inner…

Q: Find the range and all the answers. Remark that the range isn’t between -(pi/2) and (pi/2)

A: Given Function:-f(x,y)=sin−1(3y−4x)(a) Find the domain of the function.The inverse sine function…

Q: By using the numbers -5;-3,-0,1;6 and 8 once, find 30

A: Finding 30 Using the Given Numbers We are given the numbers -5, -3, 0, 1, 6, and 8 exactly once, and…

Q: review problem please help!

A: If you have any questions let me know in the comment box thankyou.

Q: 7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л,…

A:

Q: Let ā-6+4j- 1k and b = 7i8j+3k. Find a. b.

A:

Q: An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south…

A: Let's go through the solution step by step; Step 1: Given DataAirspeed of the airplane: 428 mph (due…

Q: Question Is the function f(x) shown in the graph below continuous at x = -5? f(z) 7 6 5 4 2 1 0 -10…

A: Solution-

Q: Sketch a graph of f(x) = −2|x − 3| +2 5 4 3 2 1 -5 -4 -3-2 -1 -1 -2 -3 -4 -5+ Clear All Draw: -2 3 4

A: If you have any questions let me know in the comment box thankyou.

Q: 3. In the space below, describe in what ways the function f(x) = -2√x - 3 has been transformed from…

A: In graphing a root function, select several relevant x values then calculate their corresponding…

Q: According to Newton's law of universal gravitation, the force F between two bodies of constant mass…

A: Step 1:  a. According to Newton's law of universal gravitation, the force between two bodies of…

Q: Question Given the following piecewise function, evaluate lim →1− f(x). Select the correct answer…

A: Since we are looking for the limit as x approaches 1 from the left, we need to consider the piece of…

Q: In Problems 17-26, solve the initial value problem. 17. dy = (1+ y²) tan x, y(0) = √√3

A: We used the separation of variables approach to solve the starting value differential equation in…

Q: The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.…

A:

Q: 10 The hypotenuse of a right triangle has one end at the origin and one end on the curve y = Express…

A: 1) To find the Area of the Triangle, identify, first, its base and height. Note that:One end of the…

Q: 10. [-/3 Points] DETAILS MY NOTES SESSCALCET2 7.2.047. Consider the following. aR- br (a) Set up an…

A:

Q: 6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with…

A: The logarithmic function log⁡3(x) is defined as the inverse of the exponential function 3xImportant…

Q: 12. Evaluate ſ √9-x2 -dx. x2 a) C 9-x2 √9-x2 - x2 b) C - x x arcsin ½-½ c) C + √9 - x² + arcsin x d)…

A:

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A:

Q: For each function, identify all points of discontinuity and label them as removable, jump, or…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Question 3. A manufacturer has modeled its yearly production function P (the value of its entire…

A: a)To express the rate of change of production dtdP​ in terms of the rate of change of labor dtdL​…

Q: Find g'(x) for the given function. Then find g'(-3), g'(0), and g'(2). g(x)=√√7x

A:

Q: help

A: (1)For f(3), we can interpret that as the value of the function f at x=3.From the graph, at x=3, the…