B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y = sinx

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax>xa (where a is positive constant)]…

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: E(0.1)" -1 + (0.9)"] n=1 Determine whether the given sequence converges or diverges. If it…

A: Given series ∑n=1∞ (0.1)n-1 +(0.9)n

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A: Derivative dydx of equation  lnxy2=xy

Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

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Q: Question Consider a continuous function f(x). The function has critical points at.x = -2, x = 2, and…

A: topic - application of derivatives

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: A vector valued function in the form of  r (t) = f(t) i +g(t) j +h(t) k is continuous at the…

Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 4. y = sec*e - tan*e

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: (Choose from: a. Disk Method, b.Washer Method, c. Shell Method, d. Disk and Washer, e. Disk and…

A: 1. The bounded region is as follows: In this case the rotation is about x-axis, so, washer method…

Q: 2(у - 4x?)dx + хdу %3D 0. x²y = 2r* + c

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Q: Use the Limit comparison Test to establish the convergence ovpodivergence ofthe the Sum from Series…

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Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

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Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

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Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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Q: Exercise 1.11: For each of the following differential equations, identify its order, degree, type…

A: Highest order derivative in Differential equation is called order of differential equation .  Degree…

Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: 4- x2 Evaluate lim x+2 3- (x2+5)Z 5 3 O NONE OF THESE O 4

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: dx 7. S; x³ Vx2-4

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Q: x2-25 The limit of the function f(x) = as x approaches 5 is equal to -10. 5-x TRUE FALSE

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 6. Rewrite the following as a single trigonometric function: sin? x COS x + COS x (Hint: Use the…

A: Topic = Trigonometry

Q: y y=x + 1 x = 4 y= 0

A: Area , A = ∫∫R dy dx

Q: 3. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: Choose the rule that you would use to most efficiently find the derivative of the function 3 f(x) =…

A: The given function,   f(x)=32-x3

Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

Q: The limit of a constant is always a constant. O FALSE TRUE

A: To proof the limit of a constant is always a constant. Let the function fx=k, here k is a constant

Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

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Q: Let C = (1,–3, 2) and D = (-1, 2, – 3, ). Find the following. (a) The cosine of the angle between D…

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Q: In R³, consider the triangle formed by X (2,0, 4), Y (0,5, 0) and Z (-2,0,0). Us- ing vector and…

A: Let's find.

Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: Eliminate B and a from the relation. x = B cos(mt + a) *+ 2wx = 0 O * + w?x = 0

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Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

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