C. VARIATION OF PARAMETERS 2. (D² – 3D + 2)y 1+e-x

Q: Find the directional derivative of f at P in the direction of a. f(r, y, 2) = xy + z²; P(0,3,1); a =…

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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: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: 18. SHOW ALL WORK Find the square roots of - 1 + iV3. Leave answers as exact values. No decimals.

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Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: Given the pair of price-demand and price-supply equations below, calculate each of thne following:…

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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: dB Bln's

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Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: Determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above…

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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: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: Let f(r) = r³ – 3x² + 4. Using the Mean Value Theorem, determine the value of c € (0, 3) such that…

A: A detailed solution is given below.

Q: Solve the equation: (2r – xy? – 2y + 3)dx – (x²y + 2x)dy = 0 x4 – 2ry? – 4xy + 6x = c O x* - x²y² –…

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Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

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: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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Q: 14

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: If f(x) and g(x) are continuous functions, then Sra)• g»] dx = [ f«x)dx• [ g(x)dx.

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Q: Determine whether the following series converges or diverges. 5 Σ 5n2+5 n =1

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 8t)i - 5t2j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: Describe the graph of the equation. r = (8 - 3t) i - 14t j O It is a line in 2-space that goes…

A: Let's find.

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

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Q: The radius of the circle 2x? + 2y? – 4 = 0 is equal to 2 units. O TRUE O FALSE

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Q: (0,0,0) (1,1,1) C2 C.

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Q: Given the series: k=0 does this series converge or diverge? O diverges converges If the series…

A: The given series is ∑k=0∞-16k. To check convergence of the series we use ratio test. Suppose we have…

Q: 8. xy +y2 - x2y' 0

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Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: Question 5 Find the volume of the solid that results when the shaded region is revolved about the…

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Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: S(a – x)°dx

A: We need to integrate given function.

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 area between the graph of f (x) = 10 – x² and the x-axis over the interval [-3,3]. area =…

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Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

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

A: answer is in next step

Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. 2i 17j…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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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: Given the function below find the value of f(-5). * [2x² + 1 if x -5 33 NONE OF THESE -78/25 O 51…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8 %3D T(8) = | %3D N(8) =

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

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Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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