What is the maximum vertical distance between the line y=x+30 in the parabola y=x2 for -5<=x<=6?

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Q: Plot and label the points being described and identify the coordinates of the points. A is 5 units…

A: Topic = Coordinate geometry

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A: Solution is given below:

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Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The given series is:∑n=1∞ 17n

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Q: Find a power series for the function, centered at c. 5 f(x) 5-x C = -4

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Q: Mark the critical points on the following graph. x³e-7,2 Те -5 -4 -3 -2 Clos ALL 10+ 8 6 4 2 -2 -4…

A: Please see the below answer.

Q: Suppose F(x, y) = xyi + (x − y)j and C is the triangle from (4,0) to (-4,0) to (0,4) to (4,0). (a)…

A: To find the line integral.

Q: True or False. (SHOW complete proof) 3 1. y² = cx + c³ is a solution to y = 2x dx + y² (dx)³. dx +…

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Q: entiable at x = -1. f(x) = 3ax 3 bx² + 3x b= + 3x - 8 for for Submit Answer x -1

A: See the details solution in below

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Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure…

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Q: Which of the following functions shares no common solution with the function f(x)=-3x²+6x+9 Select…

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Q: In 4-5, determine the intervals in which the function is increasing, decreasing, or constant. 4. -2…

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

Q: (2) (t) = 0 |-1)76 (

A: We know Lft-aut-a=easFs⇒L-1easFs=ft-aut-a

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Q: The entire graph of the function fis given below. Round your answer to the nearest integer, if…

A: given, graph of f(x)

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Q: If f(x) = sin² a, find f'(x) Find f'(4) Question Help: Video Submit Question

A: Explanation of the answer is as follows

Q: Find the most general antiderivative or indefinite integral. [(e-11x + 2x) dx S(+2) - 11x dx =

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A: Topic:- geometry    Note :- as per our guideline if more than one question uploaded than only first…

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Q: tons interval −4 < x < 2. For parts (b)-(e) use the graphs in part (a) and include a brief(!)…

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Q: Identify the shift for the graph of f(x) = 6-ln (x - 6) O 1. up 6, right 6 O 2. down 6, left 6 ○ 3.…

A: f(x)=6-ln(x-6)

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A: Give that the point C is 7 units below the x-axis and 3 units to the left of the y-axis. We have to…

Q: A. Orthogonal Trajectory: For the family, x² + 3y² = cy, find that member of the orthogonal…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the derivative of the function y=x^2e^-3x

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Q: If f(x) = 3, then f'(x) = A B (c) G (3-¹) In3(3) 3*X In 3 3x

A: See the details solution in below

Q: Let f(x) = ƒ'(x) = Preview ƒ'(8): = Preview 5 log, (x)

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Q: Consider two positive numbers x and y such that x + y = 58. Maximize and minimize the quantity y…

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Q: Newton's Method will fail to approximate the solution to f(x) = 0 with initial guess ao when: ao is…

A: We need to choose correct option.

Q: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

A: A species of lizard is declining at a continuous exponential rate of 10% per year. If there are 943…

Q: What are the dimensions of the box

A: Let height = y width = x length = x    Height is 4 ft greater than length and width y=x+4

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Q: Given f(x) f(x) = ln (√x² + 3) find f'(x) f'(x) =

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Q: Let f(x) f'(x) = = f'(5) = 4x² + 2x + 2 (round to 3 decimal places)

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Q: Prove the following integral converges to 1/2. et So dx (1 + ex)²

A: Use substitution method to solve

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A: Given table: 24 cold drinks are sold at R15 and 48 cupcakes are sold at R8

Q: Use the Laplace transform to solve the given initial-value problem. y' + y = f(t), y(0) = 0, where…

A: As we know that  L(au(t-c))=ase-cs, L(y')=sY(s)-y(0), L-1(1s)=1 and L-1(1s-a)=e-at,…

Q: why is the 1.20185 squared?

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Q: 2 Find the equations of the tangent line and normal line (in the form: ax + by = c) to the curve y³…

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Q: 2. Sketch the graph of a continuous function f(x) with domain [-1, 8] which is differentiable on…

A: Question (1) f(x) = (x-1)^25 with domain [-1, 8] (a) Checking continuity, At x = -1, Since it's the…

Q: Suppose the function y = f(x) is defined by an equation x² + y² + sin(xy) = 9. Given that f(0) = 3.…

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Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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