Use the method of undetermined coefficients to solve the given nonhomogeneous system. X(t) = dx dt dy dt = 2x + 3y - 4 = -x - 2y + 3

Q: (9)- ८ X+3 tran(x) d. y = √x ln (x)

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Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: Use Right-endpoint Rule with n = 5 to approximate ²x x√x+2dx to 4 decimal places.

A: INTRODUCTION:  The height of the approximating rectangle is calculated using the right endpoint of a…

Q: Find two points where the curve x² + 2xy + y² = 53 crosses the x-axis. The tangents to the curve at…

A: We need to determine slope.

Q: Determine the general solution of the non-homogeneous differential equation y + y = sinx.

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: 14. √9-x² x2 S dx

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Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: 4- Say whether each given sequence is a geometric sequence, or not. Find the common ratio and the…

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Q: decimal places. A = B = C= a=5 b=8 c=9 A=61.825° B = 44.157° C = 74.018° O A = 28.236° B = 42.639°…

A: Using cosine law

Q: (c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: 5 5. Given that sin x== 13 (a) cos(x-y); 2√5 5 x is in Quadrant I, and cos y =—- y is in the…

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Q: Consider the following functions. f(x) Find (f + g)(x). = g(x) = Find the domain of (f + g)(x).…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined.

Q: (x) = x4−256x+4 Enter the x-values of any local minima, maxima, and inflection points.

A: Given f(x) = x4−256x+4

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤ x…

A: I have appended the formula used in the solution part

Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: Write Sk k: 4+8+12+...+ -0-0 Do not simplify.) Write SK+1. k+1:4+8+12+...+4(k+ 1) = Simplify your…

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Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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Q: Suppose that a is the area of a disc with radius r which is expanding in time t measured in seconds.…

A: Given a is the area of a disc with radius r which is expanding in time t measured in seconds.   We…

Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

A: Note: Since, the student has mentioned to solve question no. (21), so we are solving according to…

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.

Q: 36. Evaluate cos 20, given cos 4 sin == 0 5 = 3/5 ar

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

Q: dy 15. Determine the derivative dx for y = 3 cos(8x+6) Show your work.

A: The function is given by y = 3cos8x+6 To evaluate: the expression of dydx.

Q: Differentiate. y' = у 4x 3 - tan(x)

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Evaluate using the substitution method. √ dz 2x4 (6 +x5) 4 2 1 [(26²du) - 15 (6+23)² + = = + C +x5)³…

A: Given ∫2x46+x54dx

Q: Differentiate the function. V'(t) = V(t) = t-3/5 + +t²

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Q: The region between the curve y = √x, 0 ≤ x ≤ 4, and the x-axis is revolved about the x-axis to…

A: Given y = x0 ≤ x ≤ 4 as we know that volume pf solid bounded by revolution of y = f( x ) V =…

Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: 14. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30…

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Q: 18. A company makes $1000 on the first 100 widgets sold. The rate of change for profit is given by…

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