Remove arbitrary constant in the given relation. y = C1 + C₂ e -4x

Q: The side of an equilateral triangle is found to be 6 inches in length with a possible error of no…

A: Topic = Triangle

Q: Find the maximum point on the graph of y = تريح ex (Write exact answer. No decimals)

A: The given function is y=x3ex

Q: y"+11y'+24y = 0 X(0) = 0 y'(0) = 7

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Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5

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Q: Question 5 -5-4-3-2 lowest = middle highest = A = 3 نیا 2 1 For the above rational function f(x) =…

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Q: x - 2y - 4z = 2 2x-3y-6z = 4 -3x + 6y + 13z = -1 Solve the system of linear equations using the…

A: The given system of linear equations:x-2y-4z=22x-3y-6z=4-3x+6y+13z=-1

Q: If Σ ak = 9 and Σ bk = 36, find the following values. k=1 k=1 n bk 36' n Στakı Σ Στακι n n n - Σ…

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Q: Find the absolute extreme values of the function on the interval. 2) f(x)= x8/3, -1≤x≤8

A: Given: fx=x83

Q: OBC is a right triangle with right angle C. this triangle base is on the positive x axis the vertex…

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Q: (17 points) Differentiate the following function: ƒ(x) = e* + x² ƒ'(x) =

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Q: Let 2x² + 5xy - 3y² – 14x − 7y + 20 = 0. dy Use partial derivatives to calculate at the point (3,…

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Q: Normalise these vectors to have length 1. 4 10 4 6 ab becomes sin (a) becomes sin (a) Ә əx ə əx ⠀ 8…

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Q: Question 15 Textbook x = A company that produces cell phones has a cost function of C= 30x2 - 496x +…

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Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

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Q: 66. 1 sin¹ x cos²x + cos² x sin² x -

A: The given trigonometric equation is 1-sin4x=cos2x+cos2xsin2x We have to verify the equation

Q: The volume of a solid bounded by the equations z=x+4, y=4-x², y=3x and the x-y plane is given by the…

A: Given that:- The volume of a solid bounded by equations z=x+4,y=4-x2,y=3x  ant the xy plane

Q: ).  Use the Integral Test to determine whether the sum converges. ∞     n = 1 1   n + 8 Evaluate…

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Q: CL-Math Average Rate of Change, Piece-wise defined functions How does the slope of the line for each…

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of f (y) 155/7 In(y)

A: The function is  f(y)=15y5lny

Q: 6. Find the volume of the region bounded above by the paraboloid z = 9-x² - y², below by the…

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Q: Question 2 Solve sinx+cosx=1 for 0≤x≤27 using: (a) The R-Method; (b) The T-Method.

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Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

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Q: A water trough is 10 m long and has a cross-section in the shape of an isosceles trapezoid that is…

A: The given data is: If the trough is being filled with water at the rate of 0.1 m3/min dVdt=0.1m3/min…

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in…

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Q: Question 6 T Given the function f(x) Determine the open interval(s) where the function is concave…

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Q: The base of a right triangle is increasing at a rate of 3 meters per day and the height is…

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Q: Use implicit differentiation to find da/dt if a - t4 = 6a²t. - Answer:

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Q: -he 3 particular Solution to the differential equatio method of of parameters. Your ar bolic…

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Q: Find the general solution to the homogeneous differential equation dy d²y dt² dt The solution has…

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Q: cab ride costs $1.70 plus $0.10 per tenth of a mile traveled if you use the Green Cab Company. The…

A: Given query is to find the distance when both company cost same.

Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the…

A: Given y'=x2y-y22    , y(0)=3    , h=0.2

Q: Put these numbers in order from greatest to  least. 2.3 3.18 2.6 2.8     Submit

A: See this solution in below.

Q: If x² + y2 + z² = 9, dz dt = dx dt = 7, and dy dt = 6, find dz dt when (x, y, z) = (2, 2, 1).

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Q: Solve the following first order separable differential equation. Show the outline of the solution…

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Q: Select the correct answer from each drop-down menu. The function y = sin³ is COS function, and the…

A: To determine whether the given functions are odd or even or neither

Q: Find the extrema of the following function on the given interval: h(x)= 2x+5cosx, ob [0,2π

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Q: (b) (2,2√3) (i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 ≤ 0 < 2π. (r, 0) = (ii)…

A: Topic = Geometry

Q: Determine if the following series converges or diverges. Indicate what test you use. a) Σ 1 2 n=1 n²…

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Q: Find the radius of convergence fo

A: We have to find the radius of the convergence from the given power series

Q: Σ 8 η=1 sin ()

A: Given query is to find series converges or diverges.

Q: dy dt : 2y + y5 =

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Q: Use RK2 (Heun's method) with h = 1/4 to estimate y(4/4) given Yo 30: Y1- Y2: Y3- Y4: 3/13 3/2: Y'3:…

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Q: Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans is C(x) =…

A: Let's find marginal cost. Cost function is given.

Q: The volume of a solid bounded by the equations z=x+4, y=4-x², y=3x and the x-y plane is given by the…

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Q: Determine two coterminal angles tive and one negative) for 2 a) += π 8 1. +- and انت انت -4-2 T and…

A: To determine two coterminal angles one positive and one negative for the following angle.+23π

Q: Differentiate y = cot ¹(t) + cot ¹(1/t). y = [

A: We know that: The Sum/Difference rule: f±g'=f'±g' The Chain rule: fgx'=f'gx·g'x Use the derivative;…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 2 - 1² st F(x) = F'(x) =…

A: Please see the below picture for detailed solution.

Q: Find the coefficient of x18y¹2 in the expansion of (-2x6 + 2y³)².

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