Find the unit tangent vector for the parameterized curve: r(t) = 2ti + 2cos tj - 2 sint k

Q: I need the answer as soon as possible

A:

Q: Find the equivalent DE for the given families of curve: all circles center at origin. O xy + y² = 0…

A: We will use the equation of family of all circles with center as origin to get the required…

Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

A: Sol

Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

A:

Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

A:

Q: At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual…

A:

Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

A:

Q: The table of values represents a continuous function. Which type of function describes g(x)? O…

A: The given table of values are given. Identify what type of function represents the given function…

Q: Question 2. Solve the linear system by finding matrix inverse = 12 x₁ + 4x₂ + 3x3 -1- 2x₂ 2x1 + 2x2…

A: Sol Here x1 = x , x2 = y and x3 = z have been considered while solving the problem Here…

Q: For any two nxn non-singular (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A). K(B) (d) K(A. B) ≤ K(A).…

A:

Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: A population has the following characteristics. (a) A total of 75% of the population survives the…

A:

Q: 3. The matrix Q 2 2 2 2 --E8 383 = 3 1) ( (a) positive definite. (b) negative definite. (c) semi…

A: Sol

Q: 1. Compute the average height of the cone z = a> 0. r² + y² above the disk x² + y² ≤ a² for

A:

Q: 6 - Investigate Interaction of Two Planes Plot the following and also their normal vectors. x-y-2z =…

A:

Q: 12. Find the area of the region enclosed between the curves defined by the equations y = √(x + 2), y…

A: We have to evaluate the area of the region bounded by the curve y=x+2 and the line y=x using the…

Q: Calculate Find the arc length of r(t) = (t³ + 2,4t³ + 6), 0≤ t ≤1

A:

Q: For the following initial-value problem: ý = y-t²+1, 0≤ t ≤ 2, y(0) = 0.5, h = 0.125,----- is the…

A:

Q: Value of determinant is computed by adding multiples of one row to O another dimension O another row…

A: We know that , The determinant is defined as a scalar value which is associated with the square…

Q: . Consider the rooted tree shown below with root a. List out a) the siblings of the vertices f b)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Construct a pie chart illustrating the given data set. A cereal manufacturer wants. o introduce…

A:

Q: c. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: let amount of material present at any time t be p(t) let p0 be the intial  amount of material at…

Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: Consider the give system. We have to write the transition matrix for this system using the state…

Q: Find the length of the following three-dimensional curve. r(t) = (2+5t,9-3t, -6+3t), for 1st≤4

A:

Q: Item 2. Use the long cut procedure of Taylor series of expansion in determining the power series of:…

A:

Q: To approximate y(0.4) for the following initial-value problem: ý=y-t²+1, such that 'i' is equal…

A:

Q: Atwood's Machine. A 15.0-kg load of bricks hangs from one end of a rope that passes over a small,…

A: Given Atwood's Machine. A 15.0-kg load of bricks hangs from one end of a rope that passes over a…

Q: Let R be the region bounded by y = √25x² and y = 3. Find the volume of the solid generated when R is…

A:

Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

A:

Q: EXERCISE 1. For the following ODE system find ALL its equilibrium points and find their stability…

A:

Q: Let x, y € R. Then x^2+y^2 = 16 defines y as a function of x. True False

A:

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: j=-4, 15t < 2, y(1) =…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 4 method uses the following…

Q: Problem 5. Find the Jordan canonical form of the following two matrices: 01 1 0 1 0 1 1 00 00111…

A: 5 Consider the given matrix A=0110100111000000000000000. We have to find the Jordan canonical form…

Q: Q2: A: IF B = By using the result of det(A) (JA) Find the value of det(B) ([B]) without use the def…

A:

Q: Q3./ Solve the following simultaneous ODE y₁ = -3y₁+ Y₂ −3 y₂ = Y₁ - 3 Y₂

A: To solve the  given problem, we use the standard defination of differential  equations

Q: Q3.B. Find a general solution of the following y" - 4y' + 4y = 3sin(2t) differential equation using…

A:

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

A:

Q: My first 30-year fixed mortgage was for $200,000 at 6.25%. Determine my monthly mortgage payments.

A:

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

A:

Q: 9. In Legendre polynomials form, the basis of Chebyshev polynomials, T₂(x) = ... (a) (4L₂(x) -…

A:

Q: Question 1. Find the inverse of matrix [1

A: As per the bartleby guidelines I am solving first question. Please reupload for second part. 1. We…

Q: Calculate the area between the curves ² = 16 sin 20 and ²: = 16 cos 20 .Show by drawing

A: To find: Area bounded by two curves  r2=16cos2θ , r2=16sin2θ.

Q: Determine the longest interval in which the initial value problem is certain to have a unique twice…

A:

Q: Given that f(z)=z-ż where does f'(z) exist

A:

Q: Solve the following linear equations using Crout's LU decomposition method. 2X₁5X2 + X3 = 12 -X₁ +…

A:

Q: Evaluate the integral 00 [8 (t-7) 6 sin(t) dt

A:

Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

A:

Q: 2 ² J z=0x= -√4-2² 4-x²-2 y=0 N dydxdz

A: The given integral is: ∫z=02∫x=-4-z24-z2∫y=04-x2-z2 z dy dx dz Convert the given integral into…

Q: 5. Solve the following linear equations using Crout's LU decomposition method. 2X₁ 5X2 + x3 = 12 -X₁…

A: