7. Consider the Taylor polynomial T;(x) for f(x)= VTat a = 4. Use Taylor's inequality to estimate the accuracy of the approximation f(z) × T2(x) when z lies in the interval 2

Q: 5. Let M(x, y) be "x has en all students in your class. Use qu There is a student in your class v or...

A: Please find the answer in next step.

Q: Evaluate the moment Mx and My of the region bounded by x + 2y = 6, x = 0 and y = 0.

A:

Q: パーy (x.y)-(0,0) x + y 2.) Prove that lim does not exist.

A:

Q: g) an = In(n+ 1) – In(n) (Hint: simplify the logarithms) (-3)" h) an n! i) an = Vn + 2 – V2n

A:

Q: Use C.P. and/or I.P. to prove the following. (A ∙ O) ⊃B B ⊃~O A ⊃O                                 ...

A: We have to prove using I.P. 

Q: A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has th...

A:

Q: Describe and sketch the graph of the given equation in R³, If it is a sphere, find its center and ra...

A: A coordinate system is a convention that is used to represent a point uniquely using a set of number...

Q: 3.) Find the volume generated by revolving about the x-axis the areas bounded by the following curve...

A:

Q: x²dx Evaluate x2Vx2-4

A:

Q: 2. Define a function B: N x N N using the following recursive definition. B(0,n) = n? n>0, В т, 0) В...

A:

Q: x3 + 3bx² +4ax² +x² – 2ax – 2ab + bx dx x* – 2ax² + bx² – 2abx²

A:

Q: la Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You m...

A: The Taylor series of a function fx about x=a is fx=∑n=0∞fnan!x-an. Let f be the given function. Then...

Q: [x - y cot Jdx + x cot()dy = 0; y() = 1 [x - y cot (]dx+ x cot()dy = 0; y(5) = 1

A:

Q: Let (G, ') denote the set of all 2 x 2 real matrices A with det{. and det {A} € Q (the rational numb...

A: a)  Let A, B ∈ ( G, ·) ⇒ det {A} ≠ 0, det {A} ∈ QAlso det {B} ≠ 0, det {B} ∈ QNow det {AB}= det {A} ...

Q: Prove that for all n E N, 7" +2 is divisible by 3.

A: We will use mathematical induction to prove the result in question 4.

Q: Find the projection of u = -7 | onto -2 3 fR' given by the parametric equation e

A: Introduction: The projection of vector u onto the vector v is given by, projvu=u·vv2v

Q: [ [5/2 -3/2] -3 2 8. Use the inverse A- to solve the system 3r + 4y = 3 5.x + 6y = 7.

A:

Q: Find a power series representation of f(x) = x tan¬'r

A:

Q: Apply the Jacobi (iteration) method to solve the following system of linear equations which has 4 eq...

A:

Q: Find the temperature u(x, t) in a rod of length L = 2 if the initial temperature is f(x) (0 < a < 1)...

A: To find - The temperature u(x,t) in a rod whose length is L=2 and if the ends are insulated from 0 t...

Q: 2. Derive an O(h4) five-point formula to approximate the second derivative f (xo) that uses f(xo – h...

A:

Q: In Exercises 11-16, a graph of a planar region R is given. Give the iterated integrals, with both or...

A:

Q: HW8_1 Apply least squares fitting to derive the normal equations and solve for the coefficients by h...

A:

Q: Evaluate av2 Sove (23 – 2) (2a² – x²) d

A: Walli's formula  ∫0π2sinnxdx=∫0π2cosnxdx=1×3×5×.....(n-1)2×4×6.....×n×π2    when n is even and ∫0π2s...

Q: (-1)" converges absolutely, converges conditionally, Determine whether the series diverges. or n=1

A:

Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined o...

A:

Q: P(+x | +y)? P(X,Y) Y 0.2 P(-x | +y) ? ++ +y +X -y 0.3 +y 0.4 -X 0.1 - P(-y | +x) ?

A:

Q: a (b) Let BE M2x2(R) and B = If a? – 2ad + 4bc + d² > 0, then B is diagonalizable.

A:

Q: 3. Compute a spectral decomposition for the following matrix D E Matax3(R) as it has been done durin...

A:

Q: 6 Find the circumference of a circle with an area of 95.03 m2.

A:

Q: Graph ARST with vertices R(4, 1), S (7, 3), and T (6, 4) and its image after the glide reflection Tr...

A:

Q: 3. Determine whether the following series converges, and if so, find its sum. 1 ( a) Σ27l-n 4 (b) (n...

A:

Q: (a) What is the equation of the plane passing through the points (1, 0,0), (0, 1,0), and (0, 0, 3)? ...

A:

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In...

A:

Q: A rod of length L coincides with the interval (0, L] on the r-axis. Set up the boundary-value proble...

A:

Q: 3. Use the traveling salesman algorithm to traverse from A to A. 1. 18 38 56 69 47 73 65 84 71 62

A:

Q: Find the circumference of a circle with an area of 95.03 m2.

A: We have to find the circumference of a circle with an area of 95.03 m2.

Q: x² + ax – 2bx – 2ab – x³ – 2ax² – 2bx² dx x* + ax³ – 2bx³ – 2abx²

A:

Q: 6. Find the projection of u = -7 onto the -2 line e of R given by the parametric equation l = tũ, -1...

A:

Q: 1. The following picture shows à 5 5 square that has been subdivided in a particular way. A. Write d...

A: We will use sum of infinite GP( geometric progression ) here    a+ar+ar2+ar3+.........∞=a1-r  , r&lt...

Q: 2. After receiving a $1400 stimulus check, you cash the check and stuff the cash into a mattress. Yo...

A: We need to use sum of infinite geometric progression  If 1st term of progression is a and common rat...

Q: Use the Putzer algorithm to determine the exponential of the following matrix: 1 1 0 3 -2 0 3 -4 A =

A: The problem is related to linear algebra and matrix. We have to ask exponential of the matrix. First...

Q: 4 Given the integral: Jo 1+x² dx. Evaluate using Romberg's method. Tolerance = Nx10-6

A: Given integral, I=∫014 1+x2dx To find: Value of integral using Romberg's method

Q: Evaluate the moment M, and M, of the region bounded by x = 2y - y2 and the y=axis.

A:

Q: You have an internship where you are helping track re he price in dollars of a gadget and q = f(p) i...

A: In this question, the definition of derivative is applied. Derivative A derivative can be used to fi...

Q: x* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx x* + ах3 + 2bxа+ 2abx*

A:

Q: Find the equation of the normal line to the graph of el tan(xy) – In(2² – 3y) = sin (T2) - at the po...

A:

Q: There is considerable evidence to support the theory that for some species there is a minimum popula...

A: Write the given differential equation in the standard form.

Q: Let X be a locally compact Hausdorff space which is not compact; Let X* be one-point compactificatin...

A:

Q: The graph of y = VI is given below: %3D 2- -2- Find a formula for each of the transformations whose ...

A: