11. f -dx 3x+1 +4x

Q: 65. + 1 dr RVT -x dx 66.

A: We’ll answer the 65th question since we answer only one question at a time. Please submit a new…

Q: Find the probability that x is between five and 12. (Round your answer to four decimal places.) X…

A: From the given information,  Consider, X be the random variable such that X~Nμ=9,σ=2

Q: On a winter day your local automobile service garage receives many calls from persons who need help…

A: Temperature (X) Number of Calls (Y) (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) -12…

Q: fx*V5-x°dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: S(x + 1)(2 – x)³ dx (2 - x)* +(2 – x)* + e 2 (2 – 1. 5+c 7(2- x)* -(2 – x)5 +c (2 – x)* +(2 – x)5 +…

A: (1).   The given integral is: I=∫(x+1)(2-x)3 dx

Q: Solve 3rd order ODE with forward and backward eulers method. from t = 0 to 0.1, h = 0.1, y0) = y(0)…

A: The third order equation is d3ydt3-2y=0. Consider dydt=p, d2ydt2=q⇒p'=q, q'=2y By Forward Euler…

Q: 2z²+4z+22 lo 7+2z+10 dz

A:

Q: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: which of the following functions has a simple zero at z = 1 and an essential singularity at z = -1…

A: We have to check the which of the following function has a simple zero at z=1 and an essential…

Q: Consider the following problem: ay" + 2ty' = e', t € [0,1] у (0) — 1, y (0) = -1, with h = a) Write…

A: Given differential equation is y''+2ty'=et ; t∈0,1              .......1 with initial equations…

Q: 0 <x < 9, 0< y < 4 x), u(x, 4) = 0, u(0, y) = 0, u(9, y) = 0. %3D

A: Given:     uxx+uxx=0       0&lt;x&lt;9       0&lt;y&lt;4u(x,0)= 8 sin (6π9)    u(x,4)=0,  u(0,y)=0…

Q: х* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx х4 + аxх3 + 2bx3 + 2abx?

A:

Q: NIFN dx √2x (√2x + 9)

A: Given query is to find the value of the integral.

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: 5-4x2 dx 3+ 2x

A:

Q: 4x + 1 - dx 4x2 + 2x + 3

A:

Q: iv) [16xe*)dx бхе ,-(x+9)

A: The formula for integration by parts is given by: ∫u.v dx=u∫v dx-∫dudx∫v dxdx Note: ∫a.fxdx=a∫fxdx

Q: 4 dx x2 4x2 - -- x2

A:

Q: Find: 6x 3x2-7x+4 dx ---

A: An integral is given as, ∫6x3-3x2-7x+4dx. The objective is to solve the integral and find the value.

Q: Problem 7. Suppose that xn 2 0 for all n E N and that lim ((-1)"xn) exists. Show that (xn)…

A: Let lim -1nxn=1 Therefore, For ε&gt;0 ∃ k∈N such that -1nxn-l&lt;ε2 ∀ n≥k ⇒xn+l&lt;ε2 ∀ n≥k, and n…

Q: 2. fox" -4x dx 9x²

A:

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: Consider the graph with the vertex set y (G, H,0,S,T} and the edge set E= {GH,GS,GT, HO,OT, ST).…

A: First we draw the graph from given vertex set and edge set.  Definition : In a graph, two edges are…

Q: SOLVE PLEASE x² + 2x - 1 x³ + x² − 2x 3 dx

A: Given data

Q: 3. 30 % Consider the longitude L of the unit sphere in R : L = (z² + v? + 22}n {y = 0}, Let T be the…

A: We are given the longitude of the unit sphere in ℝ3 is L=x2+y2+z2∩y=0. Let T→ be the unit tangent…

Q: 7x - 4 3 – – 4x 4x² dx

A:

Q: Q/ find dy dos -5 J = -16 (3x² + 2)

A:

Q: cos x . Use residues to evaluate I = -dx , (a>0). 2 2 x + a

A:

Q: Write all of the solutions to z* =-2+2v3i in both polar form and a + bi form.

A:

Q: Find the Laplace transform of the following function f(t) = u(t-5)e-) cos 5t

A: First we will use the property of Laplace transform.

Q: The side of a cube is increasing at a rate of 2 mm/s. How fast is the volume Q4. - increasıng when…

A: To find  How fast is the volume of a cube increasing.

Q: 8/(x+1) - 3/2 = 4/(3x+3) What is x?

A:

Q: x + 5X" + 4X - 3 dx (x² + 3x + 5) (x²+7X+12)

A: The given integral is ∫x6+5x4+4x-3x2+3x+5x2+7x+12dx.

Q: 4 0 A--3 4 6 1 -1 8 10 1 2 4 (a) Find an equation relating nullity(A) and nullity A) for the matrix…

A: (a) Find an equation relating nullity (A) and nullity(A)^T for the matrix A. Solution – The all…

Q: 2х + 4 -dx 2x2 + 21х + 34 -2

A: Given: I=∫-252x+42x2+21x+34dx For evaluating given integral, we simplify it then integrate it So,…

Q: 0 8x3-12x2+7x+2 Evaluate , dx =? -1 2х-2

A:

Q: (A) Find a quadratic regression equation for the price-demand data, using x as the independent…

A: Since , The question asked is complex in nature , As per our guidelines, we are allowed to answer 1…