8+6.4+5.12+... Which one of the following is the sum of this infinite series? a) 40 b) 35 c) 48.517 d) 41.4224 e) 44.1.32733

Q: If s(t) = 4t³ - 6t² - 24t + 5, where t> 0 represent the position of a particle traveling along a…

A:

Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: 2 . show that V(x,y) = x 'f (2x+y) is the general Solution of: av X du 2X 1 = V ду dx

A: To show that, vx, y=x f2x+y is the general solution of: x∂v∂x-2x∂v∂y=v

Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: Given the properties of the natural numbers N and integers N (i) m, n € Z➡➡m+n, m-n, mn € Z (ii) If…

A: We are allow to solve one question at a time. If you need rest of answer then upload separately.…

Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

A:

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

A:

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², z(t) = lnt, t€ (-∞0, +∞0).…

A:

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A: Use derivative and find maximum or minimum value

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 77°.…

A:

Q: Use a double integral to find the volume under the plane z = 2x + y and over the rectangle R = {(x,…

A:

Q: Every set S has an open cover.

A: If S is a subset of  R,   Then every set S  will always have an open cover.

Q: It is projected that x years from now the population of a certain city will be changing at the rate…

A: To find out the population 3 years from now.

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (8x…

A: Given

Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

A:

Q: A ladder 13 ft long leans against a vertical wall. If the top slides down at 3 ft/s, how fast is the…

A: Follow the procedure given below.

Q: Solve simultaneously x (t) + x' (t) − y (t) + z' (t) = 4 y' (t) + z(t) = 0 2x(t)+y(t)+z(t)=0 where x…

A: Given the system of differential equations x(t)+x'(t)-y(t)+z'(t) = 4  ......(1) y'(t)+z(t) = 0…

Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: Find the maximum and minimum values of the function g(0) = 56 Minimum value = Maximum value

A: Here we have to find the maximum and minimum values of the function gθ=5θ-8sin(θ) on the interval…

Q: The graph of y g() is shown below. The areas trapped between the curve and the x-axis are given…

A: Here is the solution

Q: (xy² + y-x) dx + x(xy+1) dy = 0

A:

Q: solution

A: Please refer to the image below

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

A:

Q: d Using chain rule, what is the (2x-¹ + 3x)³ ? da O-24-36x²+54x*+81x 24-36x² +54x+81x8 24+108x²+54…

A:

Q: Plot the point with the given polar coordinates. Choose the graph below that represents the point O…

A:

Q: solve by differential √226

A: To solve by using differential.

Q: - The region trapped between y = 4x 2 2x² and y = 2x² 1³ is shown below. - I

A: Please refer to the image below

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

A:

Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: The given equation is: h=3400lnt+1   ...1   As we know that; The Power Law: ddxxn=nxn-1 The Chain…

Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: 1. y ecos(-2x) =

A:

Q: Find the area bounded by the given curves Show the graph (you can use any graphing software, e.g.,…

A:

Q: Use the Fundamental Theorem of Calculus, Part 1 to find the derivative: d •√x (t² + Int)dt dx Sa

A: First I have written the Fundamental theorem of Calculus and using it for given problem and find the…

Q: Find the general Solution of the complement of the following differential equation y"-y" - y'- 2y =…

A:

Q: Ja 2s + 2 (s² + 1)(s - 1)³ ds

A: Given :∫2s+2(s2+1)(s-1)3ds

Q: Integrate. √7x²√x+2dx= (Use integers or fractions for any numbers in the expression.) √x+2 dx

A:

Q: Change the Cartesian integral to polar coordinate dy dx 171-72 حول من كا الا بولير -1 0

A: ∫-11∫01-x2dydxIn polar co-ordinates, Let  x = r cosθ    and    y= r sinθThen , r2 = x2+y2     and…

Q: Find the length of the spiraling polar curve r = 7e²0 From 0 to 2π. The length is

A: We will use the length formula of a polar curve on a given interval.

Q: 4. Evaluate the double integral: y f. L y¹/3 x7 +1 (Hint: Change the order of integration to dy dr.)…

A:

Q: Evaluate y' y = cosh²12x +sinh²6x

A:

Q: Find the area of the curve y = x² and y = 9

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Concept: Initial value problem: An initial value problem is a difficulty in determining a function y…

Q: Please

A:

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A:

Q: □ classify the following PDES :- 827 82 827 дхг -2 +2 =x+3y буду дуг 2 2 X ох Ихх - 2ху Иху +у Иуу…

A:

Q: Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2--2,3-4, and A4--4. Use the following method to…

A:

Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate | 7e*dx 2.…

A:

Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.