x-2 1 2 x²+x-6 dx

Q: A company that makes bicycles has determined that a new employee can assemble M(d), where M(d) =…

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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: What is the value of A - T 3 B C D - T 5T 7π sin 2 /?

A: Given query is to find the value of expression.

Q: Solve the following initial value problem: dy t dt (3²,-²) y5 y(t)= | + = 0, y(1) = 1. 2y4 I

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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: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1

A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1).       Here i…

Q: 2. Let xy - y² = 8. a) Find dy dx b) Find an equation for the tangent line at the point (6,4).

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Q: Find the rectangular points.  (3,-120°)

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Q: 6x-7 The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 5x+1 (a) Find…

A: C(x)=6x-75x+1(a) aversge cost(C¯(x))=C(x)x

Q: Use the graph M of the derivative of f to locate the critical points zo at which has neither a local…

A: see below the answer and explanation

Q: Direction: Analyze the given problem. Show your complete and detailed solution (Given, Unknown,…

A: Solution: Given data, Let the width and length be x and y respectively. area = 2000 Sq.ft.…

Q: 16. Evaluate the limit for the graph: lim f(x). a. b. 3 | w 14 -1 4 -2 -2 0 +2 4 2 4 _0<x C. 0 els…

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Q: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

A: Determine the amplitude and period of the function s(t) = 0.4cos(t + pi ) + 9 without graphing the…

Q: 78. 1 2 4x + 12 2 (x² + 6x + 1) dx

A: Ans = 9/68 For detail ...go through the solution I have solved step by step in detail

Q: 3. Write a polynomial of lowest degree with zeros of 5 (multiplicity 2) and -3 (multiplicity 2) and…

A: To write a polynomial of lowest degree with zeros of 5 (multiplicity 2)  and -3 (multiplicity 2) and…

Q: Determine whether the sequence converges. If it does, find the limit. (-1)" In n (a) an = 5n³ (b) an…

A: We have to find whether the sequence converges or not.

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Compute the product. This exercise should be done using technology. (If an answer is undefined,…

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Q: 2. Find the area of the region between the graphs of ƒ(x) = 3x + 8 and g(x) = x² + 2x + 2 over [0,…

A: Given graph:-

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x = 5.

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: /transcript Perform a first derivative test on the function f(x) = x (x-3); [-3,3]. a. Locate the…

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Q: Adidas is preparing to release a new line of soccer cleats. They expect the number of daily sales…

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Q: +P от 2+1дет акт гр

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Q: dy d x X Y y(0) 1 = -3

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Q: The position function of a particle is given by r(t) = (4t², (4t², 5t, t²- 1t). 1 At what time is…

A: rt=4t2, 5t, t2-1t To find the velocity, differentiate the position function with respect to t, we…

Q: 1. Find the linearization of f(x) = (x³ + 1)¹/² at x = 2 and use this to estimate f(2.05).

A: Please see the below picture for detailed solution.

Q: lim Find the limit. Show all work algebraically. *→-5x² +4

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Q: (0, 0) Corner (0, 0) (7,0) (6,2) (0, 3) (0, 3) 1 (4,4) 40 want to find the maximum and minimum…

A: To solve the following problem

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

Q: Let f: R² → R be defined by f(x, y) = 3x¹ + 7y³ +7 and set z = f(x, y). Find an equation for the…

A: To find the equation of the contour line of f at level z=9, we need to solve the equation f(x,y)=9.…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: By using implicit differentiation to find an equation of the tangent line  to the curve at the given…

Q: 6. During a certain epidemic, the number of people that are infected at any time increases at a rate…

A: NOTE: Refresh your page if you can't see any equations. . the number of people that are infected at…

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: What is the vertical asymptote for the function f(x) = 1 4x Ⓒx=0 x = 1 x=4 y=1 ? 61

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Q: Compute the following limit: In(x) lim xxx2/2

A: limit

Q: Construct the particular solution to the homogenoeus linear second order ODE d 2x dt2 + 10 dx dt +…

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Q: Use spherical coordinates to evaluate the triple integral  (e-((x^2)+(y^2)+(z^2)))/sqrt(x2+y2+z2)…

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Q: Use the Laplace transform to solve the given integral equation. 8 -35 / (T - t) ³F(t) dr f(t) = 1 +…

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Q: (a) 3 inches is what part of a foot? (b) 3 inches is what part of a yard? (c) 2 dimes is what part…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

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: Show that the scalar field = 1/R], which is defined everywhere except at the origin, is a potential…

A: If f is a function then ∇f=fxi+fyj+fzk. f is a potential function of F if ∇f=F

Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 2, assuming that a(2) =…

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Q: List all of the possible rational zeros for the function f(x) = 4x² − 3x³ + x² − 6 H Normal Enter…

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Q: Solve differential S Xy²y¹ = x +5

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Q: Evaluate the integral by interpreting it in terms of areas. 6² ( 1² x - 2) αx -X dx

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Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

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Q: Please help me with every question :)

A: Here we have to choose the correct option.

Q: how are you getting pi. should it be pi/4 or is it because you are flipping 1/2 to 2/1. I am still…

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