Question 14 Determine the average rate of change of the function below from x = 0 to x = 8. f(x) = ²-4x+5 (2x+1)² 00 0 ∞ O 176 289 741 1156

Q: Consider the initial value problem (*) ty" + (2t + 6) y' + (t + 6) and_y'(1) = 2 8 |y(1) = - e Given…

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Q: posted it again with just a request for d and e. Can you please pick that one up too?

A: d)   average marginal cost c(x)¯'=marginal cost/x here x=cases of premium multiuse copy paper…

Q: In Exercise use graphing software to determine which of thegiven viewing windows displays the most…

A: Given, fx=x4-7x2+6x

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A: Concept Used: Combination formula Crn=n!(n-r)!r! Crn= Number of combinations n=total number of…

Q: Eliminate the Arbitrary Constant in the ff. equations: 2 b. cy² = x² + y

A: Given : cy2=x2+y   To Eliminate :  Arbitrary constant in given equation

Q: Which of the following is not a differential equation A. dr dy B. (2x+y) dg + 5 =0 cởi treo Dyxdx ao…

A: We need to choose correct option.

Q: 1. x²sin (y) dx - cot(y) dy=0

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Q: b. For each of the following, determine whether f is a bijection or not. If so, prove it. If not,…

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Q: D Question 8 Suppose that h(x) and f(x) are differentiable functions, and h(x) = f(x) g(x). Using…

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Q: What is a periodic function? Give examples. What are the periodsof the six basic trigonometric…

A: Function: In mathematics, a function is an expression, rule, or law that establishes the…

Q: 5. (x+1)y' - 2(x² + x)y = 0, when x = 2, and y = 1

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Q: For the piecewise linear function, complete the following. if x ≤ 3 if x > 3 f(x) = Draw its graph.…

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Q: 4x² 1. Let y=f(x) = 4x+1

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Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A: A function f(x) is said to be an even function if f(-x)=f(x)and a function f(x) is said to be odd…

Q: For the curve y = Inx, find the equation of a tangent line parallel to the line 3x-y = 5 *Note…

A: given curvey=ln(x)

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A: To solve the integral. As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: The two open disks B((1, 2); 2) and B((-2, 1); 2) has intersection. True False

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Q: Find the centroid of the thin plate bounded above by g(x) = x² and below by f(x) = x + 6.

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Q: E is the wrong answer Consider the equation y" - 36y= 6 cos (6t) +6+et. According to the method of…

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Q: Find simpler expressions for the quantities in Exercises 45-48. 45. a. eln7.2 b. e las 46. a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: S x2tan-1xdx

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Q: For the given function, find all as f(x) = 2 Ex 7x² + 12x - 4 +1

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Q: 4. (16x + 5y)dx + (3x + y)dy = 0, when x = 1 and y = -3

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Find all vertical and horizontal asymptotes. 101 y 5- -10- Vertical Asymptote(s) Horizontal…

A: A vertical asymptote is a vertical line along which the function goes towards infinity or -infinity.…

Q: 5. We know 6+ i and 4-√3 are roots of a 4th degree polynomial. Find the remaining roots.

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Q: Let's say you are shopping for a sofa this weekend with a budget of no more than $400. Inside a…

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Q: Find y to the second derivative. y=5excos(x)

A: To find second derivatives..

Q: The fuel economy (in miles per gallon) of a certain car is E(x) = −0.01x2 + 0.58x +10.4, where x is…

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Q: a. xy³ dx + (y + 1)e¯*dy = 0

A: xy3dx+y+1e-xdy=0

Q: Let f(x) = x-4. You apply (in the order given) all of the following transformations to f(x) to get…

A: Given query is to apply the transformation and find the new function.

Q: Locating the Vertex without GraphingWithout graphing, locate the vertex and axis of symmetry of the…

A: Given function, f(x)=-3x2+6x+1

Q: Evaluate the integrals. Making use of trigonometric Substitutions. dx x²-√2²-x²

A: We need to solve the following integral I = ∫dxx2a2-x2                             ............1

Q: A thermometer is taken from a room where the temperature is 23°C to the outdoors, where the…

A: Explained below

Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

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Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: Consider the equation y" - 36y = 6 cos (6t) + 6 + e6t. According to the method of Undetermined…

A: Please see the below picture for detailed solution.

Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

Q: A car rental agency charges $200 per week plus $0.20 per mile to rent a car. a. Write an equation…

A: Given data : Car charges by rental agency $200 per week and $0.20 per mile to rent a car.

Q: In Exercises 55 and 56, solve for k. 55. a. e = 4 b. 100e10k = 200 c. /1000 = a 56. a. ek = - 4 c.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the ff. first order DE using Exact Equations a. (x + y)dx + (x − y)dy = 0 - b. (y² − 2xy +…

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Q: x+2 2x²+5x+2 11. Find all x values at which f(x) discontinuity and redefine the function to make it…

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Q: (²-5) 69. lim 1 (x,y) →(2,5)

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Find the indicated derivative. f'(8) = If f(x) = 3 6x2 48 3 find f'(8). VX

A: Given query is to find the derivative.

Q: Plot each point in the xy-plane. State which quadrant or on what coordinate axis each point lies. D…

A: Given data:- The given points, D = (6, 5)

Q: A quadratic function f is given. f(x) = 4x² + 8x + 5 (a) Express fin standard form. f(x) = (b) Find…

A: The given function fx=4x2+8x+5 We have to find x intercept and y intercept and also sketch its…

Q: For the equation given below, evaluate y' at the point (-1, -2). (2x - y)² + 3y³ = -24. y' at (-1,…

A: The given problem is solved below in detail.

Q: Find Pappus's Theorem for Volume in your text. It turns out, he went farther than that (still…

A: The volume of a solid of revolution generated by the revolution of a lamina about an external axis…

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

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