Given the vector a = (-4,4) Find the magnitude of a. ||a|| Notes: Give your ang

Q: The slope of the line tangent to the polar graph r = 06 at the point where 0 = 1 is:

A: The given polar equation is As we know

Q: Find power series solutions in power of z of each of the differential equation (x²+1)y" + xy + xy =…

A:

Q: a) Apoint P (4₂4) is in (X,Y) coordinate Express this point in form of polar coordinate (v₂0) 2 form…

A:

Q: Calculate the integral approximation Sg for 1 √₂ 7²1 dx. S8= =

A: Using simpson rule, we can estimate the integral.

Q: 2y² + 3x + 2xy dy dx = 0 =

A:

Q: Use undetermined coefficients to find the particular solution to y"-y-12y=-260 sin(2t) Yp(t) =

A:

Q: Consider the two lines in R³: r₁(t) = (0,-1,-1) +t(4,2,0) and r₂ (s) = (7,-7,4) + s(1, 1,4). Find a…

A: The two lines in R3:

Q: 1.) Determine and state whether each of the following sequences converges or diverges, justifying…

A:

Q: t) Consider the initial value problem y" +9y = 0, y(0) = 3, y (0) = 0. a. Take the Laplace transform…

A:

Q: Compute the matrix of partial derivatives of the function f : R³ R², f(x, y, z) = (4x + 3e² +9y,…

A:

Q: Let F =< xe, xe, zey Use Stokes' Theorem to evaluate where [[ curlF J curlF.dS, S is the hemisphere…

A:

Q: Perform the indicated operation and reduce to simplest form.ne 8. x³ (x-1)² (2+x)(2-x)

A:

Q: Answer the following questions for the function f(x)=x√√√x² + 1 defined on the interval -7 ≤ x ≤ 4.…

A:

Q: 9.) Evaluate S-3e* the following integral: √4x²+6x²)dx +

A: I=∫[2x−3ex+14−x2+6x2]dx

Q: Find the indefinite integral for the function using the substitution u = = sin(t), (Hint: cos²t…

A: The given integral is 2cos3t.

Q: Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on…

A:

Q: Use the eigenvalue and Method to find the general eigen vector solution of the following finst onden…

A:

Q: Given parameters x = cos³0 y = sin³0 Formula used sin²0 + cos²0 = 1

A:

Q: P(3, 0, 3),  Q(−2, 1, 4),  R(7, 2, 5) Find the area of the triangle PQR.

A:

Q: The volume of the solid generated by revolving the region bounded by y = 2x², y = 0, and x = 3 about…

A:

Q: 6. Practice similar Help me with this Find a formula for f(x) if f(x) = ƒ'(x) 4 √1-x² and f ƒ (¹2) ²…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3-22. Define the matrix C = 0 1 c 1 cc²0 C 2c (a) Determine the values of c such that C is…

A:

Q: a) Solve for a if Σ(3a)" = 4. 1 m=1

A:

Q: 9. Explain how you would use the alternating series test to show the following series is convergent.…

A:

Q: Complete the statements for the arrow indicated in the graph below. Use "oo" to represent infinity.…

A: given graph

Q: Find the radius and interval of convergence of the following power serien: 2+¹(x + 1)" !

A:

Q: Solve y"+2y+10y = 0, y(0) = 2, y'(0) = 7 y(t) =

A: We have differential equationy"+2y'+10y=0, y(0)= 2, y'(0)=7We have to find y(t)

Q: 2 4 -1 -2] whatever size you like. 3-16. If A = " find a non-zero matrix B such AB = 0, where 0 is a…

A: The given matrix is; A=[2 4     -1 -2]AB=0Find the matrix B.

Q: Calculate the integral approximations T4 and M4 for -2 (In x)-² dx. Your answers must be accurate to…

A:

Q: (1 point) Use integration by parts to evaluate the integral. s 5x cos(5x) dx Empoamor +C

A:

Q: 3.1. Determine the response y(t) of the differential equation below d²t dt² dy + 2y = 2 where y(0) =…

A:

Q: - JJ₂ x² + y² − z dS where S is the part of S the cone ² = x² + y² that lies between the planes z =…

A: We find the value of given integration and where S is the part of the cone.

Q: Find the tangent plane and normal line equations for the surface x²+4y²+z²=12 at point (2, 1, -2)

A: we have given surface and point of tengency  To find: equation of tangent plane

Q: A. Perform the indicated operations. 1. From the sum of (8x-5y-16-4w) and (7w+3y+2x-5) subtract the…

A: According to bartleby guidelines we supposed to do the first three sub parts of multiple sub parts…

Q: Make a table of average velocity and the make a conjecture about instantaneous velocity at the…

A: NOTE: Here all angles are in radians.s(t)=40sin⁡(2t)On the interval [0,1] the average velocity is…

Q: Consider the position function s(t)=sin(πt) representing the position of an object moving along a…

A: The position function is The slope of secant line passing through points

Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: The entire graph of the function  is shown in the figure below.To find the domain and the range of…

Q: 7. Evaluate the integral 3x+2 √1-x² dx.

A:

Q: Consider the function Evaluate the definite integral. f(x) = Jx if x < 1 if x ≥ 1 [ f(x) f(x) dx

A: To find the integral

Q: The function S(t) gives the average annual sea level in meters in a particular city as a function of…

A:

Q: Consider the following function. Step 2 of 2: Find two points on the line to graph the function.…

A:

Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

A: The base of a certain solid is the area bounded above by the graph of  and below by the graph of…

Q: What hap f(n

A:

Q: f(x) = || x² - 25 2 x - 5 ; a = 5

A: The given function .The aim is to find the lmit of the function at  using the graph.

Q: n=1 n2x2n 22η find the interval of convergence.

A:

Q: If r=ctheta, how do we simplify this integral. If anything, what is dr/dtheta? r + dr () 2 de

A: The given polar equation  The integral need to simiplify

Q: 1 Decide whether the sequence an converges and if so, calculate limno An : 3n - 2n 4n an

A: To decide whether the sequence  converges and if so, to calculate .

Q: 3-32. Suppose that A is a 2 x 2 matrix. You are told that [4] ●V= ●W= is an eigenvector of A…

A: The given eigen vectors are; v=[1          corresponding to eigen value -1.     -2]w=[5…

Q: Given that B = M-¹AM, check whether B is similar to A and C. -2 A = (²₁2); M = ( 1); C = ( 2² -15) 0…

A:

Q: To find the slope of each secant line, recall that the slope of a non-vertical line is falls)…

A: