When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x ~newtons acts on it. How much work (in Jules) is done in moving it from x = 4 meter to x = 8 meter ?

Q: Find all critical points of the following functions. રી. f(x)= x² + 10x + 43 -

A: according to bartleby guide line we do only first part (A)  f(x)=-x2+10x+43d dx(xn)=nxn-1

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Q: A few weeks into the deadly SARS (Severe Acute Respiratory Syndrome) epidemic in 2003, the number of…

A: We have to solve Given question.

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A: Given query is to find indicated angle.

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Q: Consider the following graph of the second derivative, f" (x), for some function f(x): f"(x) -6 -4…

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Q: Fully factor and find all of the specific zeros of the function f(x)=2x4-9x³ + 6x² - 9x +4 Show your…

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Q: Evaluate I fe(sin x + 2y) dz + (9z+y) dy for the nonclosed path ABCD in the figure. = D A= (0,0),…

A: Here  we have to find the integral along closed path.

Q: A polynomial f(x) and one or more of its zeros are given. f(x)=9x³-149x²+665x-325 8 +i is a zero

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Q: 2. xy=-x³y-csc (xy)

A: Given differential equation:- x4y'=-x3y-cscxy

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Q: PLS do fast within 5 minutes and i will give like for sure Solution must be in typed form The…

A: How can both x-intercept s be determined if the equation y=-(x+6)(x-3) is given?

Q: Find a plane containing the point (-7,7,1) and the line of intersection of the planes - 3x - 3y + 6z…

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Q: K For the cost and price functions below, find a) the number, q, of units that produces maximum…

A: Given: The cost and price functions are C(q)=80+19qp=71-2q To determine:  a. the number, q, of units…

Q: Find the volume of the solid enclosed by the intersection of the sphere x² + y² + z² = 100 and the…

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²₁…

A: Given query is to find direction derivative.

Q: A triangle with area 30 cm^2 is cut from a corner of a square with side 10 cm, as shown in the…

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Q: Among all the points on the graph of z=7-x² - y² that lie above the plane x + 5y + 7z=0, find the…

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Q: Use the equation to find dy dx dy dx 1 ƏF |ð öð Əx ду 1 utlu cos(xy) = 6 + sin(y)

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Q: Find the derivative of y = x² cot-¹(3x).

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Q: Example Describe the surface whose equation in cylindrical coordinates is z.= 3r. Solution The…

A: The answer provided below has been developed in a clear step by step manner

Q: 5. Determine if the following series converge conditionally, converge absolutely, or diverge.…

A: According to the guidelines,  I can answer maximum three subparts of a question. Since there are…

Q: Find m so that x-2 is a factor of 2x³-8x +mx+18.

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Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: What region R in the xy-plane maximizes the value of R (16-3x² - 2y²) dA? R is the set of points…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 6. Find the limit. Show your work algebraically. lim x48 (5 + 2/7)

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Q: Find the distance from the point (-5,1,2) to the line a(t) = (-5,0, 3)t + (-7, 1, 5) -

A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

Q: Evalulate the limit below by filling in the table. This is probably a function you are unfamiliar…

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Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

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Q: 40 30- 20- Population of Canada, 1881 to 2011

A: From the graph we can conclude as

Q: diameter of each wheel of a bicycle is 27 inches.If you are traveling at a speed of 15 miles per…

A: Given query is to find the revolution of wheel per minute.

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Q: Find the linearization L(x) of f (x) = In(1 + x) at a = 0. Use this linearization approximate…

A: Solving the following problem

Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

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Q: Sketch the graph of a single function that has all of the properties listed. a. Continuous and…

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Q: 5. (a) Find the parabola's vertex, focus, di i. (y + 2)2 = 8(x - 1)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1. Let f: R→ R such that f(x) = -x ifa is rational and f(x) = 2x+3 if x is irrational. Prove that f…

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Q: 1. Determine the area bound by the following functions and double- check your answer.. y = 4x² + 1,…

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Q: find the revolution of the solid of revolution generated by revolving the region bounded by y=ln(x)…

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Q: Which of the following quadratic equations has imaginary solutions? A B C D 3x²-8x+6=0 3x² + 20x-7=0…

A: Given query is to find which quadratic has imaginary solution.

Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given: Mx,y,z=12x-y2+xz+240The radius of the spherical planet is 12 unit. Hence, x2 + y2 + z2 =…

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

Q: 2.) Find the volume of the solid whose base is bounded by the circle whose center is the origin,…

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Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: Find the absolute maximum and minimum values of f(x) = 2 cos x + sin 2x on the interval [0]. (Recall…

A: The absolute maximum and absolute minimum of functions y=f(x) defined in the interval [a,b] can be…

Q: 2. Sketch the level curve z = k for the indicated values of k. 1 (1). z==(x² + y²), k = 0,2,4,6,8.

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