f(x) dx 40 and [₁6 (F(x [°6 6 (f(x)-x) dx = 6 10 FOX f(x) dx = 70 then

Q: 4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that == f(x+y)…

A: To Do: (a) To Prove: Mx,y+Nx,ydydx=0 can be made exact using an integrating factor that depends only…

Q: 3. Solve the initial value problem (explicit solution) t dt = e, x(1) = 0.

A:

Q: Apply the existence and uniqueness theorem to find for which points (a, b) the initial condition…

A: We know the following. Statement: Existence Theorem: If f is a continuous function in an open…

Q: Problem 3. where find 8² z Ətəs If z = xey x = r² + s² + t2 and y = 2r st

A:

Q: Find ||u|| for the given vector. u = [1, √3, √2, 0] Give a unit vector in the direction of u.

A: We will find the norm that is magnitude and unit vector just by definition

Q: find laplace inverse uch that the poles are real and distinct) num(s) den (s) G(s)=- 25+.6 + -7s²…

A:

Q: Is the following system of equations consistent: 2y -4y + 3x + X 8z = -z = 7 2 6

A:

Q: Calculate the composite functions fog and go f. f(x) = 7, g(x) = x8 f(g(x)) = g(f(x)) =

A:

Q: Let g(t) = 9t² + 4. (a) Find g'(8). 580 x (b) Find g'(a). 9 Additional Materials eBook 2. [-/2…

A:

Q: Is the class {{x} : all atoms x} a set? Why yes or no exactly?  Is the class {{x} : all sets and…

A: No, the class {{x} : all atoms x} is not a set because it leads to a paradoxical situation known as…

Q: 4. then Suppose lim n = x > 0. Prove that there exists a KEN such that if n ≥ K, 2<xn < 2x.

A:

Q: A rectangle with a length of 9 feet and a width of 8 feet is being dilated by a scale factor of…

A: The answer provided below has been developed in a clear step by step manner.

Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2. Find a…

A:

Q: Given the differential equation x'= -(x+2.5) (x+0.5)(x-0.5)²(x-2). List the constant (or…

A:

Q: The cryptographic relevance of this problem will become evident when we cover hash functions in…

A: As per policy at a time at most three subparts can be answered, please repost other questions…

Q: Considerz -10 + 4i. Write down the real and imaginary parts of z. What are 2, zand? Express z in…

A: We have to solve the given complex  number z.

Q: Jsing Euler's method taking step size = 0.1, the approximate value of y obtainedcorresponding to x =…

A:

Q: x Solve initial value problem = -1, y(0) = 1 on the interval 0 ≤ x ≤ 1 using Euler's method with the…

A:

Q: determine the inverse Laplace transform of the given function.

A: The given function is Fs=4s3 We have to find the inverse Laplace transform of the given function.

Q: Let A = 10-3 02-2 and b = -44 2 -2 . Denote the columns of A by a₁, a2, a3, and let W = Span 6 a. Is…

A:

Q: Show that 4x2 + 6x + 3 is a unit in Z8[x].

A: We have to show that 4x2+6x+3 is a unit in ℤ8x.

Q: Let T: R¹ → R" be a linear transformation, and let {₁,...,Up} be a set vec in Rr. Prove that if…

A:

Q: 1 2 5 Position x [mi] 6 2 3 4 Position x[i] 5 2 4 5 Position x [mi] 7 3. Solve the linear IVP ut +…

A:

Q: Consider the model y=-2.45x+7.18 derived from data between x=4 and x=10. What value of x represents…

A: Given that the model y=-2.45x+7.18 is derived from data between x=4 and x=10.

Q: 6. Determine the domain of analyticity (branch cut) of (a) Log(1+z²); (b) Log()

A:

Q: An investor was afraid that he would become like King Lear in his retirement and beg hospitality…

A: 1st part

Q: 1. For each first order ODE, determine if it is separable, linear, exact or exact after using an…

A: According to bartleby guidelines we do only first three subparts and rest parts can be reposted.

Q: Suppose that and y are real numbers. Show that and max{x,y} min{x,y} = = x+y+|x−y| 2 x + y - x - y 2

A:

Q: Evaluate 172 esinxida using Groussian 3-point formula

A: Given integral ∫0π2esinxdx Gaussian 3-point formula ∫abf(x)dx=b-a259fx1+89fx2+59fx3 Where…

Q: Izan and Meng plan to send their daughter to university. To pay for this they will contribute equal…

A:

Q: To find the general solution of d.e. y" + 4y' + 4y = xke-2x, k = R₁y = y(x),x > 0 For value k=0…

A:

Q: Let f be a total or partial function f:S -> T where S = {d,i,s,c,r,e,t} and T = {1,2,3,4,5,6,7} How…

A:

Q: The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion in 2015. Find an exponential…

A:

Q: Find the center of the circle x=-1+2 cos?,y=3+2 sin?.

A: Here we assume that  ?=θGiven that     x=-1+2cosθ   and  y=3+2sinθ         ⟹    x+1=2cosθ  and y-3…

Q: Find the required linear model using least-squares regression. The accompanying table shows the…

A:

Q: Use Green's Theorem to find the area under one arch of the cycloid generated from the circle of…

A:

Q: Evaluate the limit: sin(z/3) sin z lim 0-2

A:

Q: Find the extrema y = y(x) of J(y) = [' (y)² √/1 + (y^)²dx, _y(0)=1=y(1). e is a minimum or maximum?…

A:

Q: Consider the following matrix A = R1 + 7R2 R3 -2R2 or -40 13 R4-3/2R2 9 -5 -3 16 (1) Find the…

A: The objective is to find a) The inverse of matrix A=-4016913-5-35-2-1 by row reducing [A|I3] . b)…

Q: Find an exact differential equation that has circles centered at (h, k) of radius r >0 as solutions.…

A:

Q: Question B2: Suppose that is an angle between 0 and. Consider the shaded region in the figure to the…

A:

Q: The domain of the function is the set of all real numbers with two exceptions. The smaller exception…

A:

Q: Find the general solution for the following differential equation: y' + 2y = 5et - 3t y(t): =

A:

Q: 10. Given the system of coupled ordinary differential equations below dx1 dt x₁ = x₁ + x₂ (E) = dx2…

A:

Q: [3.7] Consider the following linear programming problem: Maximize 2x₁ + subject to 2x₁ + XI X1, x2…

A:

Q: The equation of circles which touches x = 0, y = 0 and x = c is (1) ₁²+ y²-cx ±cy + ² = 0

A:

Q: Find the general solution for the following differential equation: ty' + 2y = 5t² + 5t - 7 Then find…

A: The given differential equation is ty'+2y=5t2+5t-7, y1=-9.3. We have to find  (a) General solution…

Q: Give a geometric description of Span{v₁,..., Vn} for the given vectors. 2 A 12 B E 6. V₁ = 7. V₁ = 3…

A: (6)  Given vectors are  v1 = 23-4   and  v2 = -6-912  it is very clear that   v2 = -3 v1…

Q: Calculate an explicit general solution for the ODE: dy dx = = 3y2e +1

A:

Q: Give a counterexample which proves the statement below is false over the doma integers. Vz((z – 20)…

A: