What is the total change of f(x), if f'(x) = 2x - 3, over the interval [1, 3]? -3 O-2 O 2 03

Q: 2. The minimum depth, d (in meters) of water in a harbour, t hours after midnight, can be…

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Q: Find an equation for the line tangent to the curve y = (√x - 9)(x³. 6) at x = 1.

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Q: 7. The function f(x): the derivative (ne of the tangent line to the graph at z = 1. = is graphed…

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Q: Given f(x, y) =-3x¹ – 2xy² – 6y5, find - - fz(x, y) = fy(x, y) =

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Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

A: given

Q: Let f(x, y) = x² + 2y¹ - 40xy

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Q: Which of the following describes the first order differential equation? dy dx = = 3y2 + sin(8x) y +…

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Q: 1. Indicate if each statement Is True or False. Write the word True or False not T or F. a) b) C) d)…

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Q: Determine the speed of a particle with a given trajectory at a time to (in units of meters and…

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Q: Find and simplify the difference quotient f(x + h) − f(x) for the following function. h f(x) = -3x +…

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Q: For the functions w = xy + yz + xz, x=3u + 2v₁ y = 3u-2v, and z= uv, express Ju and using the chain…

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Q: 4. A translation service has 74 employees. There are 45 employees who speak French and 22 employees…

A: Let A be the set of employees speaking French and B is the set of employees speaking Mandarin…

Q: The population of rabbits in a controlled system can be described by P(x) = x² + 18x + 19, where x…

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Q: 6. The function f(x) is defined by the graph. State the value of each: c) lim f(x) = x →-1 d) f(4) =

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Q: / x3 + 6x2 + 6x2 (x2 + 6x + 10)2 + + 19x – 2 dx

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Q: 19. 20. The interval where the curve y = a) x < 0 b) never The lim √x² − 1 = - x-1+ a) √16 b) -4 ex…

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Q: 6. Determine the equation of the tangent to y = :-xex + ex at x = 0.

A: Explaination of the answer is as follows

Q: Find the gradient of the function f(x,y)=√2x+3y at the point (-1,2). Then sketch the gradient…

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Q: What is the maximum value of for 0≤x≤ 10? 2e - 1

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Q: Solve the following autonomous differential equation with the given initial condition. dy dt =…

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Q: Simplify the following expressions. sin x sec x sec² x-tan²x+cot² x sin² x cos 2x-cosx sin 2x+sin x

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Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

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Q: 12. Compute the derivative of f(x)= = (a) The quotient rule (b) The product rule I for constant n…

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Q: 20. If f'(r) exists at r= a, then (A) True (B) False lim f(x) = f(a) PTA

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Q: Find an equation of the line tangent to the curve f(x) = e4x at the point (0, f(0)). x + 1 4x + 1 4e…

A: Put x=0

Q: It is determinate because there is only one known force. It is determinate because there are no…

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Q: Evaluate the triple integral U= 2x - y 2 +2 ·√² ſ² ſ²*³² ƒ(x, y, z)dxdydz where ƒ(2, y, z) = 2 + 2 3…

A: We have to evaluate the integral.

Q: Use the graphical 2-D method to minimize subject to z = 3x₁ + 6x2 I1 3x1 x1 + x2 + 7x2 7x2 + 522 >…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Using differentiation

Q: Let f(x, y) = 3x² - 2x + 8y + 5y² - xy List the critical point: The critical point is a Select an…

A: We can find the critical point of the function .

Q: 2. A waterwheel with radius 7m, has 1m submerged. The wheel rotates at 6 revolutions per hour. Time…

A: waterwheel

Q: dz du dz Əv 1 Find and when u In 2, v= 1, if z=5 cotx, and x=e+ Inv

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Q: Convert the rectangular coordinates of each point to polar coordinates. Use degrees for 0. 5. (√3,3)…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 9 and k = 1 is set in motion…

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Q: 25. Determine the value of k so that f(x) is continuous. Show work. x² - k f(x) = 2x² + 7x - 22 x≤2…

A: given function is

Q: Using the substitution u = 1+x^2, convert the integral into one involving only the variable u. You…

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Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: Suppose f(x) = 5x cos x. Find the equation of the tangent line to f(x) at the point (, -5π). y = |…

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Q: Find the first partial derivatives of the following function. 8u 5v + 7w F(u,v,w)= F₁ = Fu

A: given

Q: For the function f(x,y) = 6 of find and 8x+3y' dx dy

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Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

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Q: Let f(x) = In(x) and g(x) = log3x. For all x>1, f(x) < g(x) O True O False

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Q: State the domain for the function f(x) = In(x + 2) : O (-00, -1) O (-∞, -2) O (-2,00) O (-∞0,00)

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Q: 1. Find the polar coordinates, - ≤ 0 < 2π and r ≤ 0, of the following points given in Cartesian…

A: According to bartleby guidelines we supposed to do the first three of multiple subpartskindly repost…

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

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Q: Express the function G in the form fo g. (There is more than one correct answer. The function is of…

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Q: For what value of the number k is the following function continuous at r=2 if x 2 f(x) = = (A) 3…

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Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

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Q: Questions #8 to #12 pertain to the accompanying Venn diagram. 10. What is the value of n(A)? a) 12…

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