II. Find the Inverse Laplace of the following 1 а. s2 +6s+25 s2 b. (s-1)3 7 С. s4 6 8 - - - s3 s2 S 2s-9 d. s2 +2 е. (s2+1)(s²+4s+8)

Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: Given: GA = PR Prove: GR= PA STATEMENT REASONS 1. GA PR 2. GA =PR GIVEN ADDITION PROPERTY…

A:

Q: Compute the Fourier series for the given function on the specified interval. Use a computer of…

A: Given: fx=x, 0<x<πx+π, -π<x<0 To find: Fourier series

Q: 2. Evaluate the given line integral, (-y,x – y) · dR, where C is the line segment from (1,0) to…

A:

Q: The vertices of the ellipse given by 4 +뚜=1 are (2, 1) and (1, 2) (0, 1) and (0, – 1) O Option 1…

A:

Q: • The intersection of D with the ry-plane is the region bounded by the cardioid with the equation r…

A: Solution-:

Q: Calculate the area of the region inside the circumference r = 3sinθ and outside r=2-sinθ

A:

Q: Evaluate the given line integral. | (y, –x) · dR, where C consists of the uppder part of x² + y? = 1…

A:

Q: The equation x2 + Bx + y² + Cy + D = 0 is a O hyperbola O parabola O ellipse circle

A: Use the general form of an equation of a conic section.

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, lim f(x) = 2 and f(2) =…

A: we will find type of graph around given value of x to draw graph

Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

A:

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4%sec?x

A: The given second order linear differential equation is ,…

Q: 6. Let U be a unitary matrix. Prove that (a) UH is also a unitary matrix. (b) ||Ux|| = ||x|| for all…

A: Given U be  a unitary matrix We have to prove the following a UH also unitary matrix b Ux=x for all…

Q: How may secant lines are there in the figure? 54 78° 1 3 4 5

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: init – dimensional vector space over the field F, and let W be a subspace of V. - + dim Wº dim V.…

A: Direct sum of the subspaces

Q: Let A be a non-empty set of positive numbers, which is unded above and let B = {x e R: 1/xe A}. 1…

A:

Q: Let x 0 and y 0. (a) If xly, show that {x, y} is a linearly independ- ent set. (b) Extend the result…

A:

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: 1 Brandt r at an ans monthly within a • Deter order b Find

A: Introduction: The formula for a monthly payment of loan amount is given by, A=Pr1+rn1+rn-1 Where P…

Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: This is the problem of vector Algebra and 3D Geometry.

Q: Explain why the Second Derivative Test is often mistaken for the POI Test. In what way(s) are they…

A: We know the following. POI Test: An inflection point is a point on the graph at which the second…

Q: 3. Given the following function. 1, -1<x< 0 1 f(x) = x = 0 on [-1,1] 2 х, 0 <x <1 (i) Determine the…

A:

Q: Evaluate the given line integral. I (y, –x) · dR, where C consists of 4y = x² from (-2, 1) to %3D C…

A: Line integration of the function

Q: Evaluate the given line integral. | (y, -x)-dR, where C consists of 4y = x² from (–2, 1) to (2, 1)…

A: Here we can use Green's theorem to find the value of the integral. Green's theorem states that if C…

Q: (a) In how many can the set {1; 2; ........; 16} be partitioned such that each part contains 2…

A: (a) Definition : Partition problem is to determine whether a given set can be partitioned into two…

Q: dz 2. Suppose z is a function of r and y and tan(VI+y) = e²*. Determine and %3D

A: Given: tanx+y=ez2 where z is a function of x and y. To determine partial derivatives ∂z∂x and ∂z∂y.

Q: Given the following function. -1<x<0 x = 0 0 <x<1 (i) Determine the period of f(x). (ii) Find the…

A:

Q: X°+ 7x"+ 15 XT† 32 x’+ 23x + 25

A:

Q: Solve by the Laplace transform, showing the details and graphing the solution: 1. y" – y' – 2y = 12u…

A:

Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

A:

Q: Given f (x) = |x| for x E [–n, 1] Show that 4 cos(2n – 1)x |x| = 2 E - - - (2п — 1)2 n=1

A:

Q: Determine the line tangent to f(x) = 2x² + 3x + 1 at (-2, 3).

A:

Q: 1 is uniformly continuous. 1+x 5. Clarify that f :R→R defined by f (x)=

A:

Q: .1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O…

A:

Q: fn : [0, 1] → R, f„(x)= dt 1+t Show that for every x E [0, 1], this equality takes place: x2 In(1+…

A:

Q: 3. Find the values of x does the power series > converge? п! n=0

A: We know that the power series is represented by ∑n=0∞ anxn, where an is the function of n which…

Q: a) f(8) = -3 cos (e + ) + 2

A: This is a problem of Harmonic Motion.

Q: 1. Consider the problem of finding the roots of P(x) = (x – 1)(x – 3)(x – 5)(x –- 7)(x – 9)(x –…

A:

Q: Including the broken lines, how may radii are there in the figure? C f E f a b G F D O 5 O 4 O 2 O 3…

A: Radius of circle: a radius of a circle is any of the line segments from its center to point on…

Q: x2 y2 The vertices of the hyperbola with the equation = 1 are (-2, 2) and (2, 2) (-2, 0) and (2, 0)…

A:

Q: 3. C=Z+, (a*b) = ([max(a,b)]/8) + 3 %3D

A:

Q: Q.5) The general solution of the equation y"+ 9y" = 0, is: %3D a) y(x) = c1 + c2x + Acos3x + Bsin3x…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Instructions: For every item given below, determine which kind of algebraic structure it is, and…

A: Introduction: An algebraic shape is like an ordered pair. The pair includes a hard and fast and a…

Q: So 220 is the last number in this DPS chain. The DPS chain can be written as 381357 252 232 220. It…

A:

Q: inimum and maximum values, and sad

A:

Q: find 2g Ce

A:

Q: . Consider the autonomous first order equation dr = r*(1 – r²). dt Find all critical points, and…

A: Derivative of the function f(x) is the measure of how fast the function is changing with respect to…

Q: 9. Jesse was riding her bicycle and ran over a nail. At this point, a stopwatch starts timing. The…

A: If height denoted by cosine function  ht= a cos bt +c +d  a is amplitude  2πb is period  c is phase…

Q: (b) Determine the proportion of matches in which Tallygaroopna scored between at least 120 but less…

A: The proportion of matches in which Tallygaroopna scored between at least 120 but less than 180…