Find the general solution of the linear nonhomogeneous recurrence relation An = 3an-1 + 10an-2 + (2n +7)3n ao = 1, a₁ = 4

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A: The given function is

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A: The given equation of parabola is The vertex form of parabola with the vertex  is

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A: The velocity of a car is  for all .The aim is to find the position of the car.

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A: The region is bounded by the curve The given graph of the region

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Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: Given the definitions and g(x) below, find the value of f(g(−3)). of f(x) 2 f(x) = x² + 7x + 13 g(x)…

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A: To find the derivative of the following functions.

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Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

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Q: If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y…

A: We have to find the derivative of the following functions by using the chain rule.Chain Rule: In…

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Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

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Q: Find the radius of convergence and interval of convergence of the series. Σn!(3x−1)″ n=1

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Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is

Q: 2x 1) Calculate the derivative of h(x) = √√e²x +e-²x

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Q: -10 -8 -6 -4 -2. 9 55 40 -6 16 V 4 O 8 10 TERMATH Write the standard equation for the hyperbola…

A: given graph of hyperbola

Q: A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.261)e1.12567t…

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Q: Evaluate the following indefinite integral. 19 / (22+4) de dx Note: Don't forget your C! And be sure…

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Q: Convert the point with cylindrical coordinates 11π 13, 5 to Cartesian coordinates. Enter your answer…

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Q: Use the following function and its graph to answer (a) through (d) below. et f(x) = 6-x, x4. 2 .…

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Q: Let g(z) = 6 Determine the most general indefinite integral of g. 1 6dz

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Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

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Q: Test the series for convergence or divergence. 72 = 1 (-6)m+1 48m

A: To test the following series for convergence or divergence.

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Q: Functions f and g are given as follows. X 5 X+2 x + 2 Find each of the following functions and state…

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

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Q: f(x)=x^[8/3]-4x^[2/3] determin the: a) roots b) Domain c) intervals for which the function is…

A: The given function is To find:-rootsdomian intervals for which the function is positive and negative…

Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(2). f(x) g(x) = X = -x+ 2 2 _…

A: Given:

Q: Find for y=cos ²(9xt-8). dy dt dy dt

A: )   Is givenWe want to find the derivative