3 x³ − (−14)x² + (−557)x-(-2158)=0 -

Q: Find the following limit lim x-4 X-72 3x-6

A: We need to evaluate the limit:limx→2​3x−6x2−4​ Step 1: Substitute x = 23(2)−622−4​=6−64−4​=00​Since…

Q: 3. Consider the sequences of functions fn: [-T, π] → R, sin(n²x) n(2) n (i) Find a function f : [-T,…

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Q: 4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2…

A: Step 1:Step 2: Step 3: Step 4:

Q: Use Euler's method to numerically integrate dy dx -2x+12x² - 20x +8.5 from x=0 to x=4 with a step…

A: Step 1: Step 2: Step 3: Step 4: Step 5:

Q: Forces of 9 pounds and 15 pounds act on each other with an angle of 72°. The magnitude of the…

A:

Q: 1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t…

A: Step 1:Determine the numerical value of the given integral.∫C​F⋅drwhere,F(x,y)=(x2+y)i^+(y−x)j^​and…

Q: C = (2√3)/3 or (-2√3)/3 within the interval (-2,2)

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Q: Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of…

A: Step 1:Step 2:Step 3: Step 4:

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: (c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] 2. Let C([a, b]) be the metric space of…

A: To solve the given problem, we need to find the maximum difference between the functions f(x)=1−x2…

Q: (d) (4 points) Think of this sheet of paper as the plane containing the vectors a = (1,1,0) and b =…

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Q: 3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a…

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

A: Q1 uses the power series method where we assume a solution in the form of an infinite series and…

Q: The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at…

A: Note- open circle at any point means value of function at that point is not defined or not included…

Q: 3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)

A:

Q: Calculate the first five terms of the following sequence cn = n+(n+1)+(n+2)+···+(2n)

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

Q: Evaluate the following integral. x/6 S tan 2x dx x/12

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

Q: Please refer below

A: Note:​Your solution is correct, even  I got the same solution. It is showing wrong because you have…

Q: by series find the Solution U (x) = x²- X³+ x²+'S (1+x+) u(t) st 0 (2) u(x) = x's (6x-2+) u(t) St U…

A:

Q: Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y =…

A: We are given the function:  y=x4+7 with   x=−3 and  Δx=dx=0.01. Step 1: Compute Δy  Δy=f(x+Δx)−f(x)…

Q: 1. Suppose F(t) gives the temperature in degrees Fahrenheit t minutes after 1pm. With a complete…

A: The equation F(10) = 68 describes the temperature in degrees Fahrenheit at a specific time. In this…

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

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

Q: Let C be the intersection of the cylinder x² + y² = 2.95 with the plane z = 1.13x, with the…

A:

Q: 1. Show that the vector field F(x, y, z) = (2x sin ye³)ix² cos yj + (3xe³ +5)k satisfies the…

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Q: II. Determine whether the following series converge or diverge. State the test you used. (4/2/3 po 1…

A: For the first series, we can use the Integral Test. The Integral Test states that if a function is…

Q: Evaluate the integral by using a substitution prior to integration by parts. 7) sin (In (6x)) dx

A: Step 1: Solving Without the Factor of 7We must assess the integral:…

Q: Alt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x)…

A: Ans(a): Ans (b):

Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…

A: Let's solve the problem step by step: Given Data:Force from the truck: F1 ​= 377 lb (along the…

Q: By using Laplace transforms, solve the following differential equation subjectto the given initial…

A: Used Laplace Transformation:

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

A: (a)(b)(c)

Q: Pls help me with accurate answer pls

A: Step 1:Ship A starts 40 nautical miles west of Ship B and is sailing west at 18 knots (18 nautical…

Q: Question 2 Find the shortest distance between the lines [x, y, z] = [1,0,4] + t[1, 3, −1] and [x, y,…

A:

Q: If f(x)=x2+4, g(x)=x-6, h(x)=sq root of x, then (f o g o h)(x)=

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

Q: Please sketch questions 1, 2 and 6

A:

Q: The path of a particle moving in a straight line is given by s = t^3 - 6t^2+ 9t + 4, where s is in…

A: Let's solve the problem step by step.Given the equation of motion: s=t3−6t2+9 Step 1: Find velocity…

Q: 52 Question 5 If csc(x) = 3, for 90° < x < 180°, then sin(x/2) = = cos(x/2) = tan(1/2) = Upload…

A:

Q: 2. Find the equation of the tangent line to the graph of the given function at the given point.…

A: Step 1: concept  Step 2: solution  Step 3: Step 4:

Q: Do the Laplace Transformation for this equation in Partial Fractions.

A: Here's a detailed solution of the given differential equation using the Laplace Transform…

Q: Q2/ If x is directly proportional with (y) and (x = 8) when (y = 15), then what is (x) equals when…

A: Step-by-step Calculation:Given, x varies as y x is directly proportional to yThis means x = ky where…

Q: how do i estimate the area under the graph of f(x) = 2 cos(x) from x=0 to x= π / 2 using four…

A: We're tasked with approximating the area under the curve of the function f(x) = 2cos(x) from x = 0…

Q: Number 11 pls

A: (11)If you have any questions let me know in the comment box thankyou.

Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

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

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 ∫x^2 dx from 0 to 2. This is a definite integral because it…

Q: 3. Mary needs to choose between two investments: One pays 5% compounded annually, and the other pays…

A: Let's calculate the future value of both investments to determine which one Mary should choose.For…

Q: 3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4y

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

Q: 38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of…

A:

Q: 7. Consider the following parametric curve: x = sint, y = 2 cost, for 0 ≤t≤ a) Eliminate the…

A: Ans 7(a):Ans 7(b):Ans 7(c):

Q: Can u give rough map of any room u can choose cm on top

A: Detailed explanation:I've created a rough layout for a cozy bedroom with dimensions and furniture…

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: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 5…

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