The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A:

Q: Evaluate the Laplace transform of ecos3tdt. O a. s2+2 s2(s² + 4) Ob. s+ 16 Oc. 2 s(s²+ 16) O d. s?+4…

A:

Q: 3 2. (8x2 – 3x) (12x2 – 3) dx

A:

Q: (a) y= (x + 1)? O III OIV (b) y (x- 1)2 01 O II O IV (c) y-x - 1 O II OIV (d)

A:

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A: We can solve this as follows:

Q: Describe the graph of the equation. r = -6i+ (1 – t?)j + t k O It is a parabola in the plane z = -6,…

A:

Q: An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is…

A: This question an be solved using the concept of rate of change of physical quantities.

Q: Evaluate the limit, using L'HÔpital's Rule if necessary. sin 3x 1. lim x→0 tan 8x In x5 2. lim x7 –…

A:

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: Find the area of the region bounded by: r = 5 – 3 sin 0

A:

Q: Evaluate 2x(x2 + 2)*dx

A: First I have used  a substitution and made integral easy and then solved it.This is the process.

Q: B) Find for the Implicit function: dx x? – sin(xy) + y? = 5xy

A: The given equation is; x2-sin(xy)+y2=5xy.

Q: Use an appropriate definition to prove the following limits. x³ – 16x* = 1 I+0 r°+ 4x² x +2 V9x2 + 4…

A: This is a problem of limit . Based on the formula and concept we will answer the question.

Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: Q3) A) If you have three functions: f(x) = x2 – x %3D g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof…

A:

Q: . Solve the following problems using the concepts of Parametric Equations. Show complete solutions.…

A: (a)x=7sint , y=t2+1 at (0,3)sint=x7 t=sin-1x7 now, y=t2+1substitute t=sin-1x7  in  y=t2+1y=sin-1x7…

Q: a) Solve dx y +x

A: Given: dydx=y-xy+x

Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

A: given

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

A:

Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

A:

Q: dy + 2(t + 1)y? = 0 dt b) Solve ;y(0) 8

A:

Q: What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y?…

A:

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 -5+

A: Given data÷

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Determine the value of 3A+1OB if 14x2 + 33x + 9 Cx + B %3D (x – 1)(x+ 1)2 x - 1 (x + 1)2 Answer:

A:

Q: Q2) Find the integral value for the following functions 3x 1. S V1+3x2 dx 2. S(sec(4x) – 1)? dx dx…

A: LetI=∫3x1+3x2dxTake the constant out:  ∫a·fxdx=a·∫fxI=3·∫x1+3x2dxPut…

Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

A:

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

A:

Q: How many terms of the series (-1)" 1+2" are needed to compute the sum of the series with an error…

A: By Alternating series estimation series test : s=∑n=1∞(-1)nbn        1)  bn+1≤bn2)  limn→∞ bn=0Then…

Q: Suppose that z = xy² and x and y are differentiable func- tions of t with x =2,y = when t = -1. Then…

A:

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 4 4 +…

A: The series is of the form∑n=0∞45nsince 45<1 By geometric test ∑n=0∞45n  converges

Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 33 34 4' 6' 8' 10' 12 an = |…

A:

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim X4 (Vx+5)-3

A: Using l hospital rule.

Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

Q: A man borrows Php 100,000 from the Social Security System for a term of one year. The interest…

A: Bank Discount  =100000×15100=15000

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: Evaluate the integral. (Assume a * b. Remember to use absolute values where appropriate. Use C for…

A:

Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Given problem:-

Q: Determine the value of c for which 42 8n lim (1+ n00 cn

A:

Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

A:

Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

A:

Q: APProximate the area under fa)=XZ 1. and a 1.9ht approXimation cright end Point reltungies 100 k…

A:

Q: Find f(-5e3* + VE)dt

A:

Q: Give the truth value of the sentence - (2 > 3) – (3 > 2) -- (3 > 2).

A: Let's find.

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Solve e2x + 7e*+6= 0 Show every step.

A: We have to find the value of x according to the given information