Find the integral 15 x+3 √1-x² dx

Q: 6. Find the Laplace transform of the following functions (c) g(t) = = cos 3tH (t-π)

A: The Laplace transformation is very significant integral transformation that is used widely in many…

Q: d s: X = (0,1, -1) + λ (1, α, 2α) are coplanar, in which case study its relative position.

A: Consider the given lines. r: X=(1,0,2)+λ (2, 1, 3) And, s:X=(0,1, -1)+λ(1, α, 2α) Let r and s are…

Q: 3 (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and (height).…

A: Given that the dimensions of solid in the form of a rectangular box is L, B, H Where these are the…

Q: appropriate method, beginning with th Bxy' = 6y + 3x¹cos² (²), y

A: Given: 3xy'=6y+3x4cos2(yx),y(2)=0

Q: A Covariant tensor of first order has components xy, 2y - z², xz in rectangular coordinates.…

A: Given: xy, 2y-z2, xz To find: Solution

Q: Let A be a 2 x 4 matrix with two pivot positions. Determine if a) equation Ax = 0 has a nontrivial…

A:

Q: L-1 15s² (s - 5)³

A: Explanation of the answer is as follows

Q: 2. For the quadratic function y = -6x² + (K + 4)x +9, find the following: a. The Axis of Symmetry of…

A:

Q: Question 2.10c. Consider the following system x + y + z + w = 1; x - y - z W = : 1; x + z = 1. Find…

A:

Q: d) (x+27) -3 X lim-

A:

Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: Find all local maxima, local minima, and saddle points of each function. Enter each point as an…

A: We have to find the saddle points of the function fx,y=e2y-8ye6x

Q: 3.2) Give the distance (in miles) between town and James’ house.  3.3) Name the dependent and…

A: To find: Distance between town and James house. To find: Dependent and independent variables. To…

Q: Use strong induction to prove that (Fibonacci number represented as Fn) Fn < 2^n for all n ∈ N

A: Let P(n) be the statement: Fn &lt; 2n . For n = 0, F0 = 0 and 20 = 1, therefore F0 &lt; 20. For n=…

Q: Given dy_y-x, with y = 1 for x = 0; dx y + x VO GRA mately for x = 0.1 by Euler's method (Five…

A:

Q: the solution that The sides of a spherical triangle measure 65°, 75°, and 1059 Find the angle…

A: Solution:

Q: rimeter of the base, p

A: Consider the standard figure of the trapezoidal prism:

Q: For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next…

A: Given,

Q: 3x-1 1. Let z(x) = m(x) = x - (K + 5) and n(x) = √√x+(4+K) . Answer the following: (K+7)x' a. State…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: (a) g(x) = x + 1 x-1 (using the definition)

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 4. [Maximum mark: 6] Let z = 1+ √2i and w = = 3-2√//2i. (a) Find the exact value of Re (22*" w),…

A:

Q: Find the general solution of the 23 dx = 3x -y-z dt dy = x + y - z dt dz = x - y + z dt system

A:

Q: Ex.2. Given dy_y-x, with y = 1 for x=0; 9 dx y + x find y approximately for x = 0.1 by Euler's…

A:

Q: Use triple integral to find the volume of the solid G that is cut from the cylinder 4x² + y² = 9 by…

A: Given that the solid G is cut from the cylinder 4x2+y2=9 by the planes z = 0 and z = x+3.

Q: L-1 20s² (3s² + 5s + 7)

A:

Q: Q1) find the Laplace transforms of the periodic function defined by f(t)=t/2 0<t<3 f(t+3)=f(t)

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Find the solution of the following system of liner inequalities by graphing- (K + 2y > 5x + 3y…

A:

Q: B. 30. What is the vertical asymptote of the curve y = (3x - 4)/(2x +3)? C. x = -2/3 A. x= -3/2 B. x…

A: I have given the answer in the next step. Hope you understand that

Q: Given the following non-homogeneous differential equation x³y +x²y"-2xy' +2y=x-². answer all of the…

A: We know that , non-homogenous differential equation is given by ,  andnydxn + an-1dn-1ydxn-1 +…

Q: 3 Z Find the residue of z² - 1 2 Z at z→ ∞00.

A: Use the formula of residue at infinity to solve this problem as in next.

Q: verify the Its Stoke For Upper Projection theorem Vector Field F = (2x-y)i - yzj- y²zK ² Surface the…

A: To verify Stoke's theorem: For a vector field F=(2x-y)i-yzj-y2zk over the upper half of the surface…

Q: Given the following price-demand function, find the elasticity of demand, E(p), and determine…

A:

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

A:

Q: 18/12 f = 5/5 and f(1

A:

Q: 3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin…

A:

Q: y' − (4x − y + 1)² = 0 y(0)=2 -

A: To solve the given differential equation  y'-4x-y+12=0 with initial condition y0=2

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2). (b)…

A:

Q: 40s+16t=0  Solve partial differential equation

A: Introduction: A partial differential equation is a sort of differential equation in mathematics in…

Q: I'm thinking of a graph which has degree sequence (5, 5, 4, 4, 4, 4, 4). How many edges must my…

A: Sum of the degrees is  5+5+4+4+4+4+4=30

Q: 1 Separate variables to find a solution a. yy' +36x=0 b. y'=1+4y², y(1) = 0

A:

Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

A:

Q: The complete solution of the ordinary differential equation d² y dy + P dx² + qy = 0 is dx - 3x - y…

A:

Q: Solve the initial value problem. dy 3x²- -x-5 .y(1) = 3 dx (x + 1)(y + 1)' Begin by separating the…

A:

Q: A phone number in Toronto is a 10-digit number. The first three is an area code which is 416, 905,…

A: Introduction: When we arrange a certain number of objects in a different order, the arrangement is…

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Instantaneous rate of change is the slope of the given data . So, basically we have to find the…

Q: Q/Solve the following initial - Value Problem: хе x ex³dx + (x³²-1) dy=0

A:

Q: mpounding interest and an APR of 4.5% in sume no additional deposits are made.

A: Given as, 8 years is $25,000 and APR of 4.5%.

Q: ensor analys

A:

Q: a. Solve the initial value problem (x² - 1)y" + 4xy' + 2y: y (0) = = -1, y'(0) = -5, given that 1 Y1…

A:

Q: The figure below shows the graph of a quadratic function, f(x), whose limit at an unspecified…

A: