Find an equation of the plane that is parallel to the plane x + 2y – 4z + 16 = 0 and contains the point (3, 5, 5). Equation:

Q: Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false…

A:

Q: ト+ se=Atzメ

A:

Q: Find the Taylor series generated by f at x = a. f(x) =x-2x+5, a = 2 The Taylor series generated by f…

A:

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A:

Q: which values of x are the eigenvalues of 4 х 9 repeated?

A:

Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

A:

Q: Consider a, = for n EN = {1,2,3,...}. 2n +1 2n +3

A:

Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent { an } n=1

A:

Q: Question Consider the function f(x) below. Over what open interval(s) is the function decreasing and…

A:

Q: Use the information given about the angle 0, 0< 0 < 2n, to find the exact value of the indicated…

A:

Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

A:

Q: Ssec*x (Vtan²x + 1) 2. 4 sec' x tan3, dx

A:

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

A:

Q: Suppose you decide to wait 5 years to save up before buying the house.  You are able to put a down…

A:

Q: Given the series, is it convergent or divergent? (5-4(In n))" %3D2 3n (V5-In n)"

A:

Q: Consider the tollowing Maclaurin series: (-1)"x2n (2n)! COS X = for all x e R. n=0 1. Let f(x) =…

A:

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

A:

Q: From Rogawski ET 2e section 10.3, exercise 3. Use the Integral Test to determine whether the…

A:

Q: 2. Sketch the plane curve by plotting points then indicate the orientation of the curve. x = t2 – 4…

A:

Q: ) Solve the D.E dy + (xy – xy²)dx = 0

A:

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

A:

Q: + inf 1 Σ п2 — Зп + 2 n=3 W

A:

Q: (a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) +…

A: topic - equation of a line

Q: S 3x5V1 – 2x³dx

A: Use simple integration formula.

Q: +0 (-1)"n" sin' Σ n 2n n=1

A:

Q: Problem 1 (а, Find the first partial derivatives of the function f(x, y) = x²yVy + 4y2. (b) fxyx of…

A: fxx,y = ∂f∂x  ;  fy(x,y) = ∂f∂y. fxyx(x,y) = ∂∂x∂∂y∂f∂x

Q: 25 a²y(cos(Tz) +2) dæ dy dz

A:

Q: Consider the function f(x) 5x + 1 (a) Find the Maclaurin series of the function f(x), stating your…

A: Let's find.

Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: vhether the following series is convergent or diverger (-1)"3n² 4n²–1 (b) n=1

A:

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A:

Q: For the series below. (a) find the series' radlus and interval of convergence. For what values of x…

A:

Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

A:

Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: Please answer both items. Thank you so much!   Activity 1. Use a directed line to represent the…

A: Given,            v = (-2,3),           u = (-3,-4)

Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

A:

Q: Determine if the given series is convergent or divergent. (1 – 2n²)" Σ 1. n2n n=1

A:

Q: Determine if the improper integral La dx converges or diverges. If it converges, find its -1 (1-e*)2…

A:

Q: d -sin 6 if0 is given as dx What modifications would have to be made to find the derivative an angle…

A:

Q: A line with positive slope passing through (-1, 1) and intersects the parabola y = x² at the point P…

A: We have to find co-ordinate of P

Q: Find the Taylor series generated by f at x a. 1 f(x) = , a= 1 x2 Choose the correct answer for the…

A:

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

A:

Q: 2 Vy x+j Q3) Evaluate triple integral S dz dx dy х-у

A: We can solve this as follows:

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A:

Q: Question Use the Second Derivative Test to find the location of all local extrema in the interval…

A: We have to find the extreme points.

Q: 2. Consider the sequence (n+2)!. n=1 a. Show that the given sequence is monotone. b. Use the…

A:

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0 %3D

A:

Q: Find the particular antiderivative of the derivative f'(x) = 3 -+x that satisfies the condition f…

A: Follow the procedure given below.