Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

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Q: Initially 100 milligrams of a radioactive substance was present. After 4 hours the mass had…

A: This question is based on application of diffrential equation.

Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: 2 6. For the telescoping series find a formula for the nth term of the sequence of (2k + 3)(2k + 5)'…

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Q: Find the solution of the given initial value problem. ty' + 2y = sint, y = 1, t> 0 Y ||

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: fx is linear, gx is linear and hx=fxgx

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Q: Determine whether the differential equation (4x² - 2xy + 5) dx + (7y² − x² + 4) dy = 0 is exact. If…

A: The given differential equation is;  (4x2-2xy+5)dx+(7y2-x2+4)dy=0.

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Q: 0 3² 3x - 4x dx 5x

A: Basic identities of integration are used.

Q: Let v(t) = (t², -4t,9). Compute the derivative of the following function. v(e¹)

A: Solve the following

Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

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Q: Consider the following function, f(t) A. All reals. B. All reals except t = 1 and t = -1 C. All…

A: f(t) = t/(1-t)2 domain means input value which we can input in function and function is valid f'(t)…

Q: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

A: The factor θ=π2 is multiplied in the evaluation of Wallis formula where m and n are power of sin and…

Q: Let f be the function defined as follows. y = f(x) = √5x + 5 (a) Find the differential of f. dy = X…

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Q: the solution of the given initial value problem. ty' + 2y = sint, y = 7, t > 0

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Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Find the solution of the given initial value problem. ㅠ ty' + 2y = sint, y (-) - = 5, t > 0 Y ||

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Q: Use the Chain Rule to find dQ where Q=√√3x² + 3y² + 4z², x= sint, y = cost, and z= cost. dt'

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Q: Find for THREE of the following functions: dx *²)+In/cos(x)). 5 2(cos(x)))

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Q: 5. Evaluate each geometric series or state that it diverges. (a) [2(-6)-k k=0

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Q: Find the general solution of the given differential equation, and use to determine how solutions…

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Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1-x² dy = 0, y(0) = 2 y…

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Q: Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then…

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Q: Find the solution of the given initial value problem. πT ty' + 2y = sint, y = 3, t > 0 Y ||

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

A: This question is related to vector integration ,we will solve it using given information.

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 6 m, b =…

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Q: A) Find the Laplace transform of (2 03

A: We have to solve given Questions.

Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

A: The solution is given below

Q: Consider the following. Function Point f(x) = arcsec 5x (a) Find an equation of the tangent line to…

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Q: A company discovers that to produce a = 890 new electronic parts, it will cost y = 980 new…

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Q: 2. gxc2x2+3 dx Selast & du 니 get x in terms of u ut 2x2 +3 4-3 = ㄹ x² 4-3 x = 이들 4-3 z soke har x…

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Q: Graph several level curves of the following function using the given window. Label at least two…

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Q: Find the equation of the plane tangent to the following surface at the given points. x² +…

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Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

Q: Q6) Test the convergence of the following 3) Σ=1 (n!)" (nn)²

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Q: B)Convert 20= tan¹r to cartesian.

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Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 7-8 lim X→ 57 X - 57

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