Q4: Evaluate L(t3 + 5 sin7t). b. L(t cos5t). c. L ) 1

Q: The 2nd approximation to the real root of the equation x³ – x? – 1 in the interval [1, 2] using bise...

A:

Q: 14 If 12 13 3 then x is А. 6 В. —2 С. 2 D. -6

A:

Q: Simplify 324-4x/2x+18

A: Let us consider the Rational function f(x)g(x) To simplified the function  Taking common factor fro...

Q: For the initisl value problem z"+4z' +13z =t, z(0) = -1,z'(0) = 1, the Laplace transform X(s) of the...

A: Properties of Laplace transform  L[y'']=s2Y(s)-sy(0)-y'(0) Ly'=sY(s)-y(0) Ltn=n!sn+1

Q: Complete the following tables. I - 5 I- 3 -6r + 9. ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.9...

A: Given two functions are fx=x-5x-3     and    gx=xx2-6x+9

Q: Evaluate the following definite integral ,-(s-2)t sin(3t) dt. 3 2 (8 – 2)2 + 9 (8 – 3)2 + 4 - - O 1....

A: Properties of Laplace transform  Lf(t)=∫0∞e-stf(t)dt Leatsinbt=b(s-a)2+b2 Lsinat=as2+a2

Q: (-1)" (n + 1) Deteremine if the series is absolutely convergent or conditionaly convergent.. n3 +1

A: Given series is ∑n=1∞-1nn+1n3 + 1

Q: Let f : R → R be a function defined by f(x) = . Decide whether it is an injection, a surjection, a 1...

A:

Q: The following force of mortality is given: Hy = 0.02 + for 0 sys 100. 100-y' 200-y Find 10910.

A:

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. -2 B = , [x]...

A:

Q: 1. Given y log, 16. The value of y= 2. If log(x + 3) = 2, then the value of x is

A:

Q: 9. Evaluate the line integral of F = (2xy + 1,x² + 2yz, y? – 2) over the region C parametrized by R(...

A:

Q: (iii) List the order of the vertices of the given tree if it follows (A) inorder traversal. (B) preo...

A:

Q: (はゼ) at

A: This is a problem of non linear differential equation.

Q: Evaluate the following limits. 4 – 3y? – y y-2 6 - y – y? 3 - 712 + 14r – 8 5. lim 6. lim I-1 2r2 – ...

A:

Q: Determine the homogeneity of the following function; f(x,y) = x3 + x2y + 7 a) Not homogeneous b) H...

A: The given question is related with the homogeneity of a function. Given a function fx , y = x3 + x2y...

Q: *- y = ey %3D

A:

Q: Evaluate the natural logarithm of 21-29i. Express your answer in a RECTANGULAR form in 4 decimal pla...

A:

Q: The differential equation ry" + (x – 2)g' + y = 0 has a solution of the form y = x² Eo Cna™, co 7 0 ...

A: Given: Let us consider the given differential equation, xyιι+x-2yι+y=0-----A and determine the solut...

Q: A. Each week, Gavriel buys cheese (C) and sausage (S) which provides her a utility of U- 5th root of...

A: We will use  method of lagranges multiplier . To maximize f(x,y) subject to g(x,y)=k  Solve system o...

Q: 1. For a given function f(x) = –7x + 3 a)slope is: b)x-intercept is: ( 0) c)y-intercept is: (0,

A:

Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

A:

Q: II. Find the point (x, y) on the unit circle that corresponds to the real number t. Then evaluate th...

A:

Q: e domain for all the variables in the following pre L(x, y): x < y L(4, 4) true or false?

A: Given that L(x,y):4&lt;4 L(4,4):4&lt;4

Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A:   ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: Determine whether the differential equation xy" - 12y - 32y = 0 s linear or nonlinear and find its n...

A:

Q: Montserrat is training for her first race. In her first training week she runs 3 km, and in the seco...

A: Given: Kilometer covered in first training=3 km Difference in kilometer in each training=0.5 Km Arit...

Q: X2 S, S2 3 60 X, 1 5 S2 2. 4 3 1 8 What would be the new entering basic variable for the following s...

A: Simplex table is given. We find the new entering basic variable for the given simplex tableau.

Q: (Зп+5 Find infimum of A |n E N} n+9

A:

Q: Q3: Determine the eigenvalues and eigenfunctions for the SLP %3D x*y + 3xy + Xy = 0, y(1) = 0, y(4) ...

A: Given SLP is x2y''+3xy'+λy=0   (1) with condition y(1)=0, y(4)=0 Let x=ez Then (1) will be D1(D1-1)-...

Q: Find: Sdx. 6e* ex-1

A: Introduction: The process of determining the area of the region under the curve is known as integrat...

Q: Let A be a 3x3 matrix where A?=A. Which of the following statements must be true regarding the matri...

A: Let A be 3 × 3 matrix such that  , A2 = A. Since we have given that , A = I3 and A = 0 are two matri...

Q: 6. Find the radius of convergence of the power series 8. Σ x2n · 4n • U n=1

A:

Q: 크) State the negation for each of the following statements. (i) (ii) 12 is a rational number. I am r...

A:

Q: Find the solutiom and deined the internal at which junction is depined

A:

Q: A hose fills a hot tub at a rate of 2.99 gallons per minute. How many hours will it take to fill a 3...

A: Introduction: When the rate at which work is done is given, we can find the time to complete the wor...

Q: Prove that (2,5) is an open set

A:

Q: dy x fan x

A: Introduction: The variable is separated when the differential equation can be written as dydx = f(y)...

Q: 5-7. Given the points D (5, 20°, −5) to S (2, −80°, 3): 5. find the unit vector in cartesian coord...

A:

Q: 2. Use Gauss elimination with back substitution to solve the system of linear equations: | 4x, - 3x,...

A:

Q: If ax2 +2hxy+by2 =0 represents two straight lines such that the slope of one line is twice of the ot...

A: It is given that the slope of one line is twice the slope of the other line. Let m be the slope of t...

Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...

A: Given G is a group that has exactly one non-trivial proper subgroup. To prove G is cyclic and |G|=p2...

Q: Q: from the function kxe* OsxS 10 f(x) = and 1 = Y dx find other wise 1- k 2- p(1 <x< 5) 3- p(-4 <x<...

A: Introduction: The probability distribution function of a random variable is the probabilistic functi...

Q: A runner's journal shows the number of miles run each day for a week: Sunday: 3 miles Monday: 5 mile...

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,...

Q: 4. Let X = C[0, 1] be the space of continuous real valued functions on [0, 1]. Find a subset K of X ...

A:

Q: 1) Find all the local maxima, local minima, an ints of the function:

A: INTRODUCTION: For the critical point (a,b) of the function f(x,y), if D(a,b)&gt;0 and fxx(a,b)&gt;0,...

Q: (x+ 1)2n n=1 n! Radius of Convergence: 0 Interval of Convergence: (-0 ,

A:

Q: The figure shows the flow of traffic (in vehicies per hour) through a network of streets. (Assume a ...

A: We can solve this using given information

Q: Evaluate tan(0.942 + 0.429i) C. 0.878 + 0.893i D. 0.707 + 0.636i A. 0.887 + 0.785i B. 0.668 + 0.828i

A:

Q: 3 Estimate the minimum number of subintervals to approximate the value of| (4t° + 9t) dt with an err...

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.