Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = 4x² + 9x Step 1: f(x + h) = Step 2: f(x + h) − f(x) - = Step 3: f(x + h) − f(x) h - = Step 4: f'(x) = = lim h→0 - f(x + h) − f(x) h Need Help? Read It Master It SUBMIT ANSWER =

Q: Find area of the sector

A: To find the area of the sector, we can use the formula:A=2πθ​×πr2     where:A = Area of the sectorθ…

Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: #9

A: Step 1:Step 2:Step 3: Step 4:

Q: a C d 2 1 -1 0 1 2 3 -1 Graph of f'(x) (5) The graph of f'(x), the derivative of f(x), is shown in…

A: The question involves analyzing the graph of  f'(x) , the derivative of  f(x) , to determine which…

Q: correct answer is B could you please explain

A: Line Integral: The line integral of a function f(x,y) along a curve C that is parametrized by…

Q: 2. Find the instantaneous rate of change for each function f(x)=2x²-x+3 at x=0..

A: We know that, the instantaneous rate of change of a function f(x) at a specific point x=a is value…

Q: A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder…

A:

Q: #81, #82, #84

A: Graph (81)Graph (82) Graph (83) If you have any questions let me know in the comment box thankyou.

Q: 5. Submit answer Compute the surface area of the solid of revolution formed by rotating the bounded…

A: Step 1:Step 2: Step 3: Step 4:

Q: nd ave a ction and ave an 48. The domain of f y=f'(x) x 1 2 (= x<0 x<0 = f(x) possible. Group…

A: (a) Absolute Extrema:Critical Points:f′(x)=0 at x=1f′(x) does not exist at x=2.Boundary…

Q: Cable AB is 103 ft long and the tension in the cable is 3900 lb. 56 ft A 50° 20° B x C Identify the…

A: Step 1:  Step 2: Step 3: Step 4:

Q: For what value of A and B the function f(x) will be continuous everywhere for the given…

A:

Q: The Fourier sine series of the function is given by 3x f(x) = = if 0x5/3 5 if 5/3 x < 5 where bn b₁…

A:

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: Find the given derivative. Dx 7x 1 6 2 이에

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

Q: Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al…

A: Question 3Question 5More explanation

Q: If y = /R/cschx + cothx|, 2nd dy 3) ans. aus. dy: x^" [ x² + x^ (1+/nx)/nx] dx + 252 cosh + + C ans.…

A:

Q: Decide whether each limit exists. If a limit exists, estimate its value. 11. (a) lim f(x) x-3 f(x) ↑…

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: For number 9 The answer is A Could you show me how

A:

Q: Consider the Boundary-Initial Value problem a²u J²u 9 მე2 Ət²' , 0 0 u(0,t) = 0, u(5,t) = 0, ди…

A:

Q: Two cables tied together at Care loaded as shown. Given: Q = 130 lb. 30° C B Determine the range of…

A: The free-body diagram of the situation is as followsI hope this is helpful.

Q: Calculus1 - area between r=2+sin(2theta) and r=2+cos(2theta) Hi! I'd be so so thankful if you can…

A: Please find the Images below for explanations;

Q: The integral of x2 dx with upper bounds of 2 and lower bounds of 0. Compute the integral exactly

A: The integral we are trying to solve is:∫02x2dx

Q: 17) Evaluate. Sin (x²) dx dy by reversing the order of integration.

A: We are tasked with evaluating the integral:∫01​∫y1​sin(x2)dxdyby reversing the order of integration.…

Q: need help on B

A: 1. Function Analysis:- Given function: f(x) = (x+3)2- Behavior of the function: This function is a…

Q: = Question 4 (5pt): The Orchard Problem. Below is the graph y f(t) of the annual harvest (assumed…

A: (a)(b)(c)

Q: Show that sinh(A+B) = SinhA. cosh B + Cosh A. sinh B Find y if y = x++ Solve; -e* dx exxex Solve:…

A: 1. Show that: sinh(A+B) = sinhA coshB + coshA sinhBProof:We can use the exponential definitions of…

Q: Find the length of the following curve. 3 1 2 N x= 3 -y from y 6 to y=9

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

Q: 5. Submit answer Practice similar X Compute T2(x) at x = 0.6 for y = e and use a calculator to…

A: May this answer helpful to you.

Q: dy Find for y = xetanh 3x + cosh 1 x²+10 dx Find S 1−sinh 2 x cosh x 2 dx

A:

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Step 1:Step 2: Step 3: Step 4:

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

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

Q: Q6 cons dy= x^" [ x + x^ (1+/mx)/mx] dx Q7) aus. In (cash/ + F Qs) AMS. 252 cosh ++c +A Q₁) aus. e +…

A: It seems you have uploaded answers instead of questions. To assist you effectively, I kindly request…

Q: Q1/ Two plate load tests were conducted in a C-0 soil as given belo Determine the required size of a…

A: Step 1: Step 2: Step 3: Step 4:

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

Q: 2. (5 points) Let f(x) = = - - - x² − 3x+7. Find the local minimum and maximum point(s) of f(x), and…

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

Q: y=ln((1+e^x)/(1-e^x)) find the derivative.

A:

Q: (b) / dx - 2 +C 1. Use the Fundamental Theorem of Calculus to solve the following: (a) (x³ + 1) dx…

A: Question 1: Using the Fundamental Theorem of Calculus

Q: 1. Find the average rate of change for the following functions over the given intervals. a)…

A: Here's the detailed explanation:Part (a):Problem: Find the average rate of change of the function…

Q: == 1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a…

A: For (a) y' = -1/3, we can rewrite it as dy/dx = -1/3. This is already in the form h(y) = g(x) where…

Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

A:

Q: please dont use chat gpt

A: Step 1:  Step 2: Step 3: Step 4:

Q: If lim f(x)=L and lim f(x) = M, where L and M are finite real numbers, then what must be true about…

A: Step 1:Step 2: Step 3: Step 4:

Q: Examples: Solve the following differential equation using Laplace transform (e) ty"-ty+y=0 with y(0)…

A: Approach to solving the question:let's solve the differential equation using the Laplace transform.…

Q: Two forces are applied as shown to a hook support. The magnitude of P is 38 N. 50 N 25° DC a…

A:

Q: Solve the initial value problem: y= 0.05y + 5 y(0) = 100 y(t) =

A: We are solving the initial value problem: dtdy​=0.05y+5,y(0)=100.  This is a first-order linear…

Q: Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least…

A: Step 1: Step 2: Step 3: Step 4:

Q: In the given figure, P = 51 lb . 65° C 25° 35° 75 lb P Determine the corresponding magnitude of the…

A:

Q: the correct answer is A could you show me how to solve this using gauss theorem of divergence

A: Step 1: Compute the Divergence of F: div F=∂x∂​(5x−3y)+∂y∂​(2x−5y)+∂z∂​(x2+y2+3z)=5−5+3=3. Apply the…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: