If x(t) denote the position of a body at time, then the velocity of the body at time t is dt True False

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: 45. a¹ + a²2=0

A: Find roots

Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

A:

Q: 1. Find an equation for the set of points whose distance from the point (1, 2, 4) is the same as the…

A: Solution is done in step 2

Q: Eliminate A and B from the relation y = Ae²+ Bxe²x

A: We are given  y = Ae2x + Bxe2x      y = (A+Bx) e2x     ... @ we have to eliminate A and B from @…

Q: = 4. The lengths a, b, c of the edges of a rectangular box are changing with time. At the instant in…

A: Given, a=1 m,b=2 m, c=3 m da/dt=db/dt=1 m/hrdc/dt=-3 m/hr To find the rates of changing volumeV=abc,…

Q: State the number of complex roots of each equation. Then find the roots and graph the related…

A:

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: Given the system of linear equation below, determine the value of x, y, and z using: a) Gaussian…

A: The solution is given below

Q: find each unknown value 2:9 = 6:?

A: Given, 2:9=6:?

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

Q: Find sin 2x, cos 2x, and tan 2x if cosx=- sin 2x cos2x = tan 2x = 7 1 1 00 and x terminates in…

A: See this solution in below.

Q: =. Sketch the level curves of g(x, y) corresponding level curves for each k. = y-3 at k = -2,0,2 on…

A: Level curve for g(x,y)=y-3x2

Q: y²dx + x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) C D xy² = c(2xy) x+y²=c(2xy)

A:

Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

A:

Q: Let f(x,y)=√√9-x²-3y² State the domain off and sketch it in the x-y plane. The domain must be…

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Q: Given that f(x) = 2x + 5 and g(x)= x² + 5, find: a) f(g(2))- b) g(f(2))- c) f(f(2))- d) g(g(2))-

A: We need to find composite function.

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t²k, u(t) = 4ti + t²j…

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: Find all possible ordinary points of the given differential equation. y"+y=0, -inf choices: Every…

A:

Q: 6. Solve logsx - log5 (x-16) = 1 for x.

A:

Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: Let f(x) = x² - 64 x - 8 Complete the table below. Round all table values to four decimal places, if…

A:

Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 3 2 1 y 1 234 567 89

A:

Q: Given matrices:

A: Given data:- A=42170-71-53B=12-153345-7C=1-24

Q: Find the solution of the differential equation (t² + x²)dt + (2tx − x) dx = 0. a. 2t³ - 6tx² – 3x² =…

A:

Q: lim X-→-4+ lim X→→-4² 4x + [[4-x]] 2 3x² + 8x-16 4x + [[ 4-x]] 2 3x² + 8x-16

A:

Q: Find the solution to the given (y+x³y³)dx+xdy = 0₁

A: y+x3y3dx+xdy=0

Q: points) 0³y əx² ət A B C (D) <- 11 y t x E) V 0² dx² 0² ət ox vt 3uxy +=0

A:

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x)=x² + 3x-7 f'(1)=…

A:

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

A:

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point 1-z…

A: The given function is: f(x,y,z)=xy+yz+zxGiven point:  P=1,-1,2The given direction line:…

Q: 1- L-1 6S-4 S²-4 S+16 2 (

A:

Q: Determine the degree of the differential equati 3/2 2/3 (3x² ² 2 + 4xy) ¹ ² = (2y³d² - 4xy)" d²y dx²…

A: The given differential equation is; (3x2d2y/dx2 +4xy)3/2=(2y3d3y/dx3-4xy)2/3

Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: Let k (x, y) = e 4x cos (x+2y). Considering any value for (x, y) an element of the domain of k,…

A:

Q: Which of the following differential equation : Show your solution. is the general y² = y sinx = C…

A:

Q: 14. Find f'(x) using the limit definition of the derivative. 3x x+1 f(x)=

A:

Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: Parabola y² = 28x FIND THE: Opening - Vertex - Focus - Directrix - Axis of Symmetry - Latus Rectum -…

A:

Q: Identify the inside function, u = g(x), and the outside function, y = f(u). y = (x2 – 5x + 7)2 u =…

A:

Q: P use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: Let's solve using Lagrange interpolation formula.

Q: If f(x) 4x + 2 3x + 3 find:

A:

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A:

Q: Eliminate A and B from the relation y = Ae²x + Bxe²x

A: Given:y=Ae2x+Bxe2x...................(1)

Q: For f(x) = √ (x^2 − 1) and g(x) = √( x − 3), determine the subset of the domain of g on which the…

A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: and the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² e…

A: Given query is to find the profit function.

Q: Find the solution of the differential equation dx 2y +x+ xy3

A:

Q: 2. Solve - (D³ – D² − 6D)y = 12x − 2 + 5e³x – 18 sin(3x)

A: