Show that the following function is decreasing on [1, +∞)

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Q: Solve the differential equation. df ds 85+9 (45²+95 +2)²

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A: Given differential equation,y4 + 2y'' + y = 3t +4

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Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

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Q: 1. Find the exact value for: a) sin (377) 2 b) cot (210⁰) c) sec (-765°)

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A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

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Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 10 = 1 (No Response) dy dx

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Q: (e) [ 4z. 4x · cos(2-3x)da

A: Topic:- application of integration

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

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Q: a. Trapezoidal Rule____ b. Midpoint Rule....

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Q: 5x+7x-2 x² + 2 Identify the horizontal asymptotes (if any). If the graph of the function has a…

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Q: 12) 3 Find the first derivative of f(x)= -2 3x

A: The objective of the question is determine the first derivative of the given function.

Q: t².edt J (P)

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A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

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Q: Solve the system by using any method. If a system does not have one unique solution, state whether…

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Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: Consider the following equation. 6² - x = 36 Find any Intercepts. x-Intercept (x, y) = (…

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Q: Use the method of variation of parameters to determine the general solution of the given…

A: Let's solve given differential equation.

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A: Given :n!1.3.5...(2n-1)n=1+∞

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Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: A 25-ft ladder leans against a building so that the angle between the ground and the ladder is 84°.…

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

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Q: (c) I² +4 3x³+4x² - 4x [3 -dx

A: Here we have to find the integral.

Q: 31) Which of the following BEST describes the application of Cavalieri’s Principle?   a.) The volume…

A: Given ; Cavalieri’s Principle FOR 3D is states that in two 3D figure if they have same Height and…

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Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

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Q: Using Midpoint Rule, with n = 10, approximate the integral below. Give the error of approximation π…

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Q: / dw W8 W8

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