1. What is the length of the latus rectum of a parabola x² - 8x - 20y + 56 = 0?

Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: S Using the integration by parts method, 10x ex dx =

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Q: Solve the initial value problem. Chapter 6, Section 6.2, Go Tutorial Problem 16 Find y(t). O O O y…

A: The given differential equation is; y''-2y'+2y=e-t ; y(0)=0, y'(0)=5.

Q: A bacteria culture started with 8500 bacteria and increased by 35% in the first 2 hours. (a) Find…

A: Let Q(t) be number of bacteria at time t ⇒Q0=8500 initial number of bacteria

Q: 5. What is the length of latus rectum of a parabola with an equation 3x2 + 8y = 0?

A: Note: as per our answering guidelines we should solve only one question. So i am solving one…

Q: Suppose that the length 7, width w, and area A = lw of a rectangle are differentiable functions of…

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Q: For a small farm, the cost in dollars to produce a containers of ice cream is C(x) = 0.8x + 18. The…

A: Note:- These are multiple sub parts and we can do maximum 3 sub parts. So i am solving first 3 sub…

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

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Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

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Q: Need Help? m/min. Read It Watch It Master It

A: Topic:- application of derivatives

Q: Find the absolute extrema of f(x) = 2x07 on the interval [−4, -2]. f(x) = -4,2 (-4) f(x) = -2,2 (-2)…

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Q: A rational fraction of the form Select one: True False f(x) is called a proper fraction if degree of…

A: Solution is given below.

Q: -3π/2 -T -TU/2 3 2- 1 -1 -2 The graph above is a graph of what function? y = tan(x) y = sin(x) y =…

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Q: Given the given cost function C(x) = 7550 + 780x + 1.7x² and the demand function p(x) = 2340. Find…

A: Find the profit function using the given functions for x units

Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: Is it B or A.

A: Let's solve.

Q: Solve for x in the triangle. Round your answer to the nearest tenth. 40°

A: For angle 40° Base= 6 and hypotenuse= x

Q: A quadratic function f is given. f(x) = x2 + 2x − 1 (a) Express f in standard form

A: Topic = Function

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: The equation of motion of a particle is s = t³ 12t, where s is measured in meters and t is in…

A: Use rate of change concept

Q: - ind the absolute extrema of the function y -x, y). bsolute minimum: bsolute maximum: 3x3 2x on…

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Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Find the absolute maximum and absolute minimum of the function f(x) Provide your answer below: •…

A: Let's find absolute maximum and minimum value.

Q: Charles 'n Marge sell custom-build cabinet units for motor homes. The function P(x) = 2x² + 700x -…

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Q: the area of the les triangle Te with 1,3), R(2, 4, 62 SC1F-1,9). 1

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Q: 28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 18x + 28 and g(x) = 9x + 14.

A: Given: fx=x2-18x+28 and gx=9x+4 Graph between both the curves will be as following   Area between…

Q: 7) Solve the equation 2x²-3x-2 x+2 = 0 for x.

A: Given data÷ Solve the equation÷   2x2-3x-2x+2=0

Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

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Q: Find dz dt · at (x, y) = (−2, −1) for z² = x² + y² if de = dt = help (numbers) 10, dt 5, and x > 0.

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Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin (x) cos (x) over the…

A: Please see the below picture for detailed solution.

Q: 1. Consider the DE d'y dx2 - 2 dy − 3y = −9x − 3, y(0) : (0) = ² – 1. - dr Verify that y =…

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Q: 4x² - y² = 9 nd y' by implicit differentiation. 4x y = olve the equation explicitly for y and…

A: Topic:- application of derivatives

Q: A baseball with mass 0.13 kg and speed 41 m/s is struck by a baseball bat of mass m and speed 38 m/s…

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Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: Plot the solution using matlab a) Method of Undetermined Coefficients: The differential equation…

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Q: For the right triangle below, find the measure of the angle. Round your answer to 1 decimal place.…

A: Given data÷ The opposite side and adjacent side of the angle are Opposite side(OS)=10 Adjacent…

Q: Determine whether the sequence converges or diverges. If it converges, find the li 8 an ³,₁ = (1 +…

A: solution:-an=1+8nnDivergent testlimn→∞an=limn→∞1+8nn=elimn→∞ n1+8n=elimn→∞ 1+8n1n     {00 form}using…

Q: 100 Determine, with full justification, if $19 da converges.

A: We have to find the following conditions according to the given information

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.01q² + 6q - 46, where q…

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Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. limx→9…

A: Given; Limx-9(x-9)/[sqrt(x)-3].

Q: GIMME MY MONEY Terry had $6,349 in his Saving account in. He gained 4 % interest per year for t…

A: Here we have to create the equation from given information

Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4x + 3 y 2x + ³.

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 7 r…

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Q: Find the linearization L(x,y) of the function f(x,y)=2x cos (5y) at the points (0,0) and The…

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Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

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Q: -3 2. Express z³+z' (the conjugate of z raised to the third power) in polar coordinated form u(r,0)…

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Q: X Consider the function f(x) = x2x+9 The absolute maximum of f(x) (on the given interval) occurs at…

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