Find the roots of (D4 + D² + 1) O a. 08:1+√5 12/√/3 ± 2 2 Ob. -1 ± √3 -1± i√3 2 2 OC. 1 ± √3 -1±i√³ 2 2 Od. 1 ± √3, -1 ± √√3 O e. none

Q: 1) Estimate the derivative at each point using a right hand approximation where possible 0 1 2 3 11…

A: Given data: x 0 1 2 3 f(x) 5 11 14 22 We have to estimate the derivative at each point using…

Q: If Σ Cn(x - 5)" converges at x = 11 and diverges at x = 16, what can you say about: (a) the…

A:

Q: For the following alternating series __1+ {an=1 - 1² ㅗㅗ NET 100 1000 How many terms do you have to…

A:

Q: Water from a thunderstorm flows into a reservoir at a rate given by the function g(t)- 450 -0.38 t,…

A:

Q: (D3-5D2+8D-4)y=e2x, Find Y = Yc - Yp C₁e²+ C₂e²+ C₂xe-2x +₂x-2x = x²²x 2x 1 O a. O b. O C. C₁e+ +…

A:

Q: Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface…

A:

Q: Which angle is an x-intercept for the function y = cos(x)? Ο Α. Ο OB. 플 O C. 7T OD. 2T

A: REMEMBER THAT-: THE X-INTERCEPT OF AN FUNCTION CAN BE CALCULATED BY EQUATING THE GIVEN FUNCTION TO…

Q: Find the smallest positive integer solution to the following system of congruence: x = 7 (mod 62) =…

A: x = 7 (mod 62)  So, there exist some integer k such that        x = 62k + 7 Then, x = 62k + 7 (mod…

Q: Let the transformation of P2 -> P1 be defined as T(p(t)) = p'(t). The basis B = {1,t,t^2} and S =…

A:

Q: B) A circle's area changes from 100 ft² to 450 ft² under a size transformation. Find the scale…

A: Let the scale factor be n.  Then, radius of the circle changes from r to nr.  Now, area of the…

Q: Let TV → V be an operator with V a f.d.i.p.s. Show that A is an eigenvalue of T if and only if X is…

A: Given that T:V-->V is an operator with V is a finite dimension inner product space.  As V is…

Q: Let X be a continuous random variable whose probability density function is given by the formula…

A:

Q: Q2A. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

A:

Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

A:

Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S = Symmetric, T =…

A: (a) Consider the Relation          V = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (2, 3), (3,…

Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on…

A: given y=cosx and 1-2xπ≤cosx≤-x2+4+π42 integrating both sides , we get ∫0π21-2xπdx≤∫0π2cosx…

Q: Let S be a linear transformation from R³ to R² with associated matrix Let T be a linear…

A:

Q: Differentiate the function f(x) = 80. The derivative of fis f'(x) =

A:

Q: Sketch the graph of the function and check the graph with a graphing calculator. Before doing so…

A: Fx=e-x+1

Q: There are 3 balls in a hat; one with the number 2 on it, one with the number 4 on it, and one with…

A: Each random experiment contains two stages, at first stage, we draw a ball with a number from {2, 4,…

Q: For x>0, differentiate the function g(x) defined by eg(x)= xe-2x, The required derivative is g'(x) =

A:

Q: solve the differential equation (xy + x + 2y + 1)dx + (x+1)dy = 0

A:

Q: Find eigenvalues and eigenvectors for the matrix The smaller eigenvalue The larger eigenvalue has an…

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: 1 03 -1 -6 6 742

A:

Q: (7) Evaluate the following surface integrals (b) ff 2x²zdS where S is the surface x=u+v₁y=v², z =…

A: here we will use surface integral formula  ∫∫S   f(x,y ,z dS =∫∫Dfru,v  ru×rvdA

Q: Find the auxiliary roots (D4-2D³-7D²+ 8D+12) y=0 A) -2, 1, 2, 3 B) -2,-1, 2, 3 C none of the choices…

A:

Q: The output y(t) of an LTI system is related to the input x(t) by the following equation; d y(t) - 4…

A:

Q: Exercise 7.14. Let X be a path-connected topological space. (a) Let f,g: I→ X be two paths from p to…

A: Given :  X is a path-connected topological space.   To prove :  a Let f,g : I→X be two paths from…

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A:

Q: Find the mass of the solid bounded by the planes x + z = 1, x-z = -1, y = 0, and the surface y = √z.…

A: The given problem is to find the mass of the solid bounded by given planes and surface with given…

Q: State whether the given system is autonomous or nonautonomous and also whether it is homogeneous or…

A:

Q: Use the Laplace transform to solve the following initial value problem y" + 16y=86(t-6) Use…

A: First find Laplace transform and then find inverse Laplace transform. We get required solution for…

Q: B. Fill in the blanks Find a third column so that the matrix 1/√14 2/√√/14 1/√3 -3/√14 [1/√3 Q=1/√3…

A:

Q: Let x, y, z be (non-zero) vectors and suppose w = 12x + 8y + 2z. If z = -3x - 2y, then w x+ y. Using…

A:

Q: The table gives the values of a function obtained from an experiment. (a) Estimate X f(x) -3.4 -2.3…

A:

Q: Double Angle Formulas. Find sin 2x, cos 2x, and tan 2x from the given information. 4 3 tan x=-- x in…

A:

Q: Find the Fourier Transformation of II (+-2) Select one: ○ e-3jxf sinc(f) -2j*f sinc(f) ○ ejf sinc(f)…

A:

Q: Using production and geological data, the management of an oil company estimates that oil will be…

A:

Q: A = Find the matrix A of the linear transformation T(f(t)) = 8ƒ' (t) +3f(t) from P₂ to P₂ with…

A:

Q: Q2D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

A:

Q: Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y),…

A:

Q: Consider the intervals A = (-1,2], B = (0, 3), and C= [0,4). Give an argument which shows AUB & C.

A:

Q: Use the properties of the integrals to rewrite the integral as the sum of the individual integral.…

A:

Q: solve the initial value problem   y' + y = e^(8t), y(0) = -1

A:

Q: Let z=6. Differentiate the function f(x) = 7x7 - 8x + z. The required derivative is f '(x) =

A: Please find attachment

Q: A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A…

A:

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral - = 64…

A:

Q: Use the Matplotlib plt.hist() method to display area values. All we have to do is supply area_values…

A: To get the exact graph as shown in the question, the corresponding data is required, which is…

Q: (b) xy' + 3y = 4x, y(2) = 6

A: This is a problem on differential equation of first order. We have find an Integrating factor then…