r(t) = (√√8 — t, ¹-2², t cost). A) Find the domain of r(t). B) lim r(t) =? t-0 c) [ r(t)dt =?

Q: Let A = [₁ ₂] be a 2 x 2 matrix with columns ₁ and a2, and let 6 € R² be a vector. Assuming the…

A:

Q: A consumer is maximising her utility function: U(x, y) = (x¹/3+y¹/3) ³, subject to the budget…

A: This is the problem of optimization.

Q: Use the Mean Value Theorem to show that f(x) = 2cosh(x² - 4x) − 24−× + (5x − 4)² - 4 has a critical…

A:

Q: WRITE THE EQUATION OF THE LINE FOR QUESTIONS 15 - 17 USING THE GIVEN INFORMATION BELOW. WRITE ANSWER…

A: We have to find the line equation in y-intercept form from given data.

Q: Minimize ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x2 - xy + y2 - z2 - 1 = 0 and x2 + y2…

A: To Do: We have to minimize fx,y,z=x2+y2+z2subject to the constraints:x2-xy+y2-z2-1=0x2+y2-1=0

Q: The price of gasoline purchased varies directly as the number of gallons of gas purchased. Suppose…

A:

Q: 6) Find R100 for y = x³ on the interval [0,2]. Use four decimals.

A:

Q: 7. Find and classify the stationary points of (a) y = xe * (b) v = ln x - x

A:

Q: Von Bertalanffy's equation states that the rate of growth in length of an individual fish is…

A:

Q: I think you have typo over the constraints under the general form. It's supposed to be 8 not 10.…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: 8. Let p be prime and a an integer not divisible by p. Prove that if a2"-1 (mod p), then a has order…

A:

Q: Find the coordinates of the center of mass of the following solid with variable density. The…

A: We need to find the coordinates of the center of mass of the following solid with variables density.…

Q: Use SIMPLEX method in solving for the linear prog Maximize: Z = 3x + 2y Constraints: 2x + 3y ≤ 12…

A:

Q: AABC has vertices A(4.5), B(2.1). and C(7.3). Write the equation of the altitude drawn from vertex B…

A: The equation of the straight line passing through A,C is…

Q: Derive the general solution form for the following recurrence equation:  t(base n) = 4t(base n-1) +…

A:

Q: A company manufactures z units of one item and y units of another. The total cost in dollars, C, of…

A:

Q: What are credit​ scores?

A:

Q: Use the power method to approximate the dominant eigenvalue and eigenvector of A. Use th e given…

A: Given : A matrix A=-648-2 and initial vector x0=10 and number of iteration k=6. To Find :  Using the…

Q: Consider the 3 permitations in S.: 2 * = (1 ² 3 4 5 6); ** (123456) 62 2 3 4 " = ( 1 ² ² ± 5 6 )…

A: Given : σ=123456314562 , τ=123456241365, μ=123456524316 To calculate :  a στb στ2c σ2μd τσ2e στσ-1

Q: V= 8 +1 Use At = 0.2 to estimate the distance that the bug crawls during this hour. Use left- and…

A:

Q: A.-450 B. 416.115 C. 449.955 Which of the following numbers could be an estimate of f f(x)dx…

A:

Q: For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the…

A:

Q: Let a, b 0. Find f(100) (a) provided that (x − a)³ (a - bx)² f(x) = =

A: Using series expansion of (1-y)-2 Using Taylor's series expansion about x=a  When b=1,f(x)=x-a  So…

Q: 12. f = 4y²- Z

A: This is the question from multivariable calculus.

Q: 16. Construct (draw) a circuit to represent the corresponding symbolic statement. (pVg)^~p

A:

Q: 9x |ထ 8 8 9x = 0

A:

Q: nd the inverse Fourier transform of the signal given below. |G(f) = { otherwise -B≤f≤0 -π/2 0≤f≤B 06…

A:

Q: Identify the solution set in the given rational inequality. (x - 5)² x² 25 x - 5 x + 5 + ≥ 0

A:

Q: Use the savings plan formula to answer the following question. Your goal is to create a college fund…

A:

Q: Suppose X Poi(X) for some positive X. a. Show that E(X) = X b. Show that E[X(X - 1)] = X².

A:

Q: 49. The Laplace transform L{e} exists, but without finding it solve the initial-value problem y" +9y…

A:

Q: Find the limit of the sequence as n approaches infinity: In 1 an 2n + 2

A:

Q: Let A and B be n X n matrices. Prove that the sum of all the eigenvalues of A + B is the sum of all…

A: To Prove: (i) sum of all eigenvalues of A + B is equal to sum of all eigenvalues of A and B…

Q: Consider the following piecewise-defined function. f(x) = | −5x − 6 -3x² + x-1 if x -1 Step 1 of 3:…

A:

Q: Calculate for the given rational expression: 3 x-1 2 x + 1 ||

A:

Q: For the quadratic function ƒ(x) = 3(x – 1)2 + 5 in standard form, identify the domain, range,…

A:

Q: A sample of 90 items from population 1 has a sample variance of 6, while a sample of 70 items from…

A:

Q: Find the mass and center of mass of the plate that occupies the region and has the density function…

A:

Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42…

A: We will find force on a horizontal slice and then integrate it to find force on entire gate

Q: given

A:

Q: need B and C of this answered

A: Given

Q: Sketch a graph of the function y = x^3e^−x showing clearly where it is concave up or concave down.…

A:

Q: X -3 -2 -1 0 1 2 Identify the relationship (linear, quadratic or cubic) between the (XX) values…

A: Using general Linear, Quadratic and Cubic equations, Solve for generic values using given values of…

Q: Find an antiderivative F(x)of the function f(x)=−4x^2−7x+5 such that F(0)=1 F(x) = Now, find a…

A:

Q: Suppose that P(1), P(2),... are statements. Assume that you know only the following: P(3) is true. •…

A:

Q: Find the volume of the solid that lies under the cone z = 8- (x² + y²) and between the range of 1 7…

A:

Q: In what follows, the Function of is given by Foo=3x+1 (a) Use Taylor's Theorem to derive a general…

A: The function given is fx=3x+1. (a) (i) We are asked to find the two-point forward difference formula…

Q: Find the equation of the plane tangent to the surface S at (2, 3, 3) where S is parameterized by x =…

A: Given  x=2u2v2           (i)y=u+2v             (ii)z=2u+v              (iii)(ii)+(iii)⇒u+v=z+y3…