3. I Find all eigenvalues and eigenvectors of: [100] 4-6 A = 0 0 2 0 2 0

Q: The minute hand of a clock is 9 inches long and moves from 12 to 1 o'clock. How far does the tip of…

A:

Q: The area under one arch of y=sin(0.5x) is O 0.2 O 0.5 O 0.8 None of them

A: Given: y=sin(0.5x)

Q: What is the directional derivative of f(x,y,z) = ln(x²+2y²+ 4z²) at the point P(-1, 2, 4) in the…

A: The given function is; f(x,y,z)=ln(x2+2y2+4z2) Point P(-1,2,4) u=-3i/13 -4j/13 -12k/13.

Q: 12. Find an equation of the line tangent to the curve at the point corresponding to the given value…

A:

Q: B) Use a known series to express ƒ(x) = e¯ as a Taylor series.

A: We need to use a known series to write the given function as a Taylor series.

Q: Answer the following questions for the function f(x)=x√√x² +9 defined on the interval -7 ≤ x ≤ 4.…

A: Concept: Concavity: Assume that f(x) is differentiable on interval I. If f′(x) is growing, the f(x)…

Q: Show that the sequence defined by 1 a₁ = 1 an is increasing and an < 3 for all n. Deduce that {an}…

A:

Q: y" +1²y=0, 0<x< 1 2y (0) + y (0) = 0 y(1) 0

A: Please find the detailed answer in the image attached.

Q: Consider the following vector function. 1, 12², 1²) (a) Find the unit tangent and unit normal…

A: The given vector function rt=3t, 12t2, t2

Q: Evaluate the definite integral, to 4 decimal places. [² √2x + 7dx

A:

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given Equation 8y'+y=8t2y'+18y=t2 Comparing with standard form y'+Py=Q P=18Q=t2

Q: n-1 3n-1 Determine whether the series Σ=1 is convergent or divergent. If it is convergent, find its…

A: Using Cauchy criteria find that series is divergent

Q: Determine the y-coordinate of the centroid of the shaded area. bl. | x=y²/b b Answer: y = i 0.48b MI…

A:

Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

A:

Q: y' = CSC x y cotx

A:

Q: You deposited $50 into a bank that offers 2.5% interest for 30 years. A: What is simple interest…

A:

Q: Given f''(x) = 2x + 5 and f'(0) = Find f'(x) and find f(3) = 1 and f(0) = = = -1.

A:

Q: [xcsc (y/x) - y]dx + xdy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: The given differential equation is; [xcsc (y/x) - y]dx + xdy = 0

Q: Proof Prove that if A is an orthogonal matrix, then so are AT and A-1.

A:

Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

A:

Q: Problem 1 Solve the first order ODE with an initial condition y(1) = 2. Here yy(t) is the unknown…

A: Given first order ODE is y'+1ty=ty2 and its initial condition as y(1)=2 We need to find solution for…

Q: Find the exact arc length of the curve r = e from 0 = ln 2 to 0 = ln 8.

A:

Q: Determine whether the following series converges. 5(-1)k+1 Σ k=1 k5 Let ak 20 represent the…

A: Given: Here,            ak=5-1k+1k5 and decreasing series.  Now,…

Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

A:

Q: If f(x) = 4 cos(2 ln(x)), find ƒ'(x). Find f'(5) rounded to 3 decimal places.

A: Given function f(x)=4cos(2ln(x))

Q: 35. Choose the integral which represents the area between two curves given on the picture. 2- 1…

A: To choose the integral which represents the area between two curves given on the picture.

Q: Find the area of the inner loop of the limacon given by r = 1+2sin 0.

A:

Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

A:

Q: the answer

A:

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A:

Q: Using Trigonometric Substitution a substitution of x = 6 sin(theta) was used to solve an integral.…

A: trignometric substitution

Q: 2x3 2x² + 3 3 Submit an exact answer using fractions if needed. Find the average value of f(x)…

A:

Q: Use Newton's method to approximate a root of the equation 5x7 + 4x + 4 = 0 as follows. Let x1 = 1 be…

A: We have to find out as approximation

Q: 2. The table shows values of the function y = G(t). Use the table to estimate the value of 50…

A: Physical significance of integration is calculation of area under the curve. Here discrete values at…

Q: Evaluate the following integral using trigonometric substitution. 7/2 1 0 dx 2 (4x²+1) ² What…

A: I have stated the used formulas in the solution

Q: Consider the function f(t) = 4 sec² (t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: find the integration?

Q: 1 0.204 as follows: Let f(x) 1 x Use linear approximation, i.e. the tangent line, to approximate the…

A:

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. Image Added…

A: Given a sequence 41,72,106,1324,16120,... We need to find the value of nth term. We will check the…

Q: If A and B are square matrices of the same size, then it is always the case that AB=BA.

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

Q: Which of the following functions are solutions of the differential equation y" - xy + y=0? Oy=1-22…

A:

Q: Write the integral in terms of u and du. Then evaluate. [x√97 (Use symbolic notation and fractions…

A:

Q: 5. а и д2u 02u дх2 + дуг + а и 02u дz² = 0

A:

Q: The shaded area bounded by y=x^2 and y=x^3 is 0.016 0.083 O 0.055 O 0.16 (1, 1)

A:

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A:

Q: Q1) B- IF f(x)=√4-x, g(x)=x², Find : fog(x) draw them & determine (domain ,range). 9 gof(x),Then

A:

Q: Find the domain of the vector-valued function given below. r(t) = √√16-t²i+ 1 t+6 j+(t−4)k

A: We have to find the domain of the vector-valued function rt = 16-t2i + 1t+6j + t-4k

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x2 +…

A:

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Which of the following functions are solutions of the differential equation y - 3y = 6 ? 0 O y = -2…

A:

Q: Question 9 of 20 View Policies Show Attempt History Your Answer Correct Answer Correct. Solve the…

A: