Expand (2+ value of (1.9975)6 up to four decimal places. X\ 6 up to r³ in ascending power of r. Find the approximate

Q: 1 1) L-' 3 (s S

A:

Q: Given f(x) =x and g(x)=-x", which of the following statement/s is/are true? A. f(x) is differentiabl...

A:

Q: Do the following two matrices represent the same linear operators relative to different bases? -3 5 ...

A:

Q: O Find power series solution OF the given dip Ferin tial equation. y"+9y rO

A:

Q: 'C0)--3 (2) Y +y: yo) =5 y co)-3 secx

A:

Q: A linear transformation T is said to be nilpotent if T" = 0 for some n. Show that a nilpotent transf...

A: Solution :-

Q: There exists an integer m > 3 such that m2 – 1 is prime. The above statement is due to proof by nega...

A: We have to complete the given sentence.

Q: Consider the map T : R3 → R3 given by T(x, y, z) = (x − 2y + z ,−3y + 2z, − x − y + z) and mark the ...

A:

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of th...

A:

Q: Let R1 and R2 be the relations on {1,2,3,4} given by R1 = {(1,1), (1,2), (3,4), (4,2)} R2 = {(1,1)...

A:

Q: Find all the roots of f (z) = 226 + 81/3 – j81

A: The roots are  81e-jπ36, 81ej11π36,  81ej23π36, 81ej35π36, 81ej47π36, 81ej59π36  

Q: Consider the 2n-periodic function f(x) = cos²(x) + sin³ (x). (i) Calculate the Fourier coefficient a...

A: Here given that for 2π periodic function, f(x)=cos2(x)+sin3(x). We calculate a0,a1,a2,an(for n=3,4,....

Q: 10x? Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = an...

A:

Q: Find the value of f' (E) if f(x) = 2sc3x 15 in Your answer

A:

Q: A snail is at the bottom of a 10-meter well. Each day it crawls up 3 meters, but at night it slips d...

A: Calculate the distance it crawls every day. Then use the assumption that it won't slip after it reac...

Q: Use the Trapezoidal Rule to evaluate the integral S |r| x²dx O 2 O -2 O 1 -1

A: Given Intergral ∫-11xx2dx. We have to find the value of it by using the Trapezoidal Rule. The Trapez...

Q: 49) Let P(z) = ao + a1z +……. 1 order n at o∞. Consider + anz" be a polynomial of degree n. Show that...

A: Given that Pz=a0+a1z+a2z2+⋯+anzn be a polynomial of degree n.Then, an≠0. We have to show that 1P(z) ...

Q: 4) Let F be a field. The derivation f' (T) € F[T] of a polynomial f(T) E a; · Ti e F[T] is defined b...

A:

Q: that

A:

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by gi...

A: A point x is said to be an interior point of S if there exists a neighborhood N(x) of x such that N(...

Q: Which of the following is true about f(x) = [x]? A. The function is continuous at .x =0. B. The func...

A: The give function is a Greatest Integer Function. This function f(x)=x gives largest integer less th...

Q: Use the Laplace formulas to get L{f(t)}. 2 7) f(t) = 4t – 5 sin 3t 8) f(t) = sinh kt 9) f(t) = e' si...

A:

Q: The current population of St. Catharines is about 133000. Suppose a major devel- opment is planned t...

A:

Q: Integrate the following: 3x2 ( 15x3 + 102 )0.7000000000000001 within the range 5 and 7.

A: To integrate 3x2 (15x3 +102 )0.7000000000000001for 5≤x≤7. Let I=∫57x2 (15x3 +102 )0.7000000000000001...

Q: needed to be solved correclty in 15 minutes and get the thumbs up please show neat and clean work an...

A:

Q: of matrices

A: Given,             A=124-3 and   f(x)=2x3-4x+5,          g(x)=x2+2x+11

Q: Find L{f (t)} using the First Shifting Theorem. Note: a, b, e, w, k and n are constam 1. 5e 2. Le (a...

A:

Q: The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn O...

A:

Q: 5AM is an equala terala UD SI triangle ABC alExplain Why BAD= 30 9 Explain why A ABD = A ACD

A: Solution: 1. Each angle of the equilatoral triangle is 60 degrees. Hence angle B is also 60 degrees.

Q: wE find the afproximate Verlue of÷ (3.01)+(5-98)²+(2.03)?

A:

Q: 3.7.5. Given a finite-dimensional normed space X, prove the following state- ments. (a) X is separab...

A: Multipart :    Let X be finite dimensional normed space. (a) We need to show that X is separable. As...

Q: Let z E (-1,0) and let R, (z) be the remainder in Maclaurin's formula for In(1+z) in Cauchy's form. ...

A: Given the function is fx=ln1+x  

Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O y'...

A:

Q: Evaluate the iterated integral. (7 + 14y) dy dx

A:

Q: If f(x, y)= xe2y +y, evaluate grad f •dr where C is the straight line joining the point (2,0) to the...

A:

Q: cross section is made parallel to the bases of a right triangular prism. Which of the following stat...

A: Given: A cross section is made parallel to the bases of a right triangular prism.

Q: 1. x+7=11 2. n-3=10 3- y+8=4

A: Solution:-as per guidelines I submit first three questions only

Q: 1 Let f(z) Then the Laurent expansion of f(z) around z = O with |z| > 3 is: z(z-3) 3 a) 2n=0 b) Σο Z...

A: Given: f(z)=1z(z-3)  To find: Laurent expansion of given function around z=0 with z>3.

Q: dy The ordinary differential equation x2 - y = x is a separable equation dx True O False

A:

Q: Find the particular solution corresponding to the tableau. u y 3 1 16 이 10 16 1 -1 0 4 -5 0 4 0 0 12...

A:

Q: Find the particular solution corresponding to the tableau. y 1 16 16 4 -5 -5 1 1 -1 10 4 24 12 12 1 ...

A:

Q: Enter the missing value in the table of equivalent ratios. (Practice Hint: Place the cursor in the a...

A: We want to find missing value of y

Q: ont) A person wants to triple a sum of money by investing it for 17 years, and is shopping around fo...

A: The accumulated amount in time t is give by (i) A=P1+rn, if interest is compounded annually.(ii) A=P...

Q: 3. A particle of charge q = moves in velocity i = (2 + m)i – (5 + m)j – 4k in magnetic field B = (7 ...

A:

Q: Using tabular integration, the integral ft"(-2x² + 4x) cos(2x) dx equals: 3Tt -1+ 3T 2 2 2 the above...

A:

Q: The Cote family car gets between 25 and 29 miles per gallon of gasoline. The fuel tank holds 17 gall...

A: Solution:-

Q: Find L{f(t)}using the First Shifting Theorem. Note: a, b, e, w, k and n are constants. 1. L{Se" sin ...

A:

Q: 9. In how many ways can you group 12 people into 2 groups of 3 people and 3 groups of 2 people? * 1...

A:

Q: Find the indicated maximum or minimum value of the objective function in the linear programming prob...

A: we have given a linear programming problem maximize f = 20x +50y x+2y≤48x+ y ≤302x+y≤ 50x≥0, y≥0 we ...

Q: Evaluate (2y + 1) dS, where S is the part of the plane 2x+2y+z=6 that lies in the first octant.

A: