a. Prove that (A'B*)-1= (A-B-1)* and B are 3 x 3 matrices and %3D b. If |A| = 4 |B|= -1 compute |(A2B-1) %3D for your 'final answers' state all the properties used

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

A:

Q: dy Q4) Find for the following functions dx 1. y = 2x? + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

A:

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: Let f(x) = 2/x and g(x) = 4 - x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f • g)(x) (d)…

A:

Q: Find the tangent equation for the function: f(x) = Vx2 + 5 at x-2?

A:

Q: please answer quickly

A:

Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

A:

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

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

A:

Q: The forces of the human gastrocnemius tendon during traction and during recoil can be approximated…

A:

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

A:

Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

A:

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

A:

Q: The radius of a sphere was measured and found to be 6 cm with a possible error in measurement of at…

A: Let V be the volume and r be the radius of sphere

Q: Which of the following is not used to determine the slope of a function algebraically? slope of…

A:

Q: Find the definite integral using its geometric interpretation. Sketch the graph of the integrand. S"…

A: We have to find the value of the given integral.

Q: QUESTION 1:-.. a) State the order of the ordinary differential equation and determine whether the…

A:

Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

Q: 1. a dx 2. f(sec(4x)- 1)² dx 3. S 1+(Sx+1) dx

A: As per our guidelines, we are supposed to answer only the first three parts. Kindly repost other…

Q: Find the area of the region bounded by: r 98 cos 20

A: Solving

Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b = 1.6 cm. %3D 16 ´B A (Note that the triangle…

A:

Q: Determine the value of 7A+6B if 19x2 + 41x + 16 A (x+ 1)² Cx +B (x – 1)(x +1)2 Answer:

A:

Q: Find the limit of s(n) as n-* s(n) = Z1+ j =1\ O 17/12 O 14/3 O 10/3 O 20/3 5/6 A Moving to another…

A:

Q: 3x2 dx x3 COS xesinx -5 a) b) dx c) 4x dx esin a X-4 1 /n

A:

Q: Which of the following functions is always equal to its (first) derivative? O a) In(x) O b) e5æ O c)…

A:

Q: Question 4 Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 - y(t) =

A:

Q: Find the determinant of the matrix. a. 8 4 b. 7 5

A:

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

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: 2.5 х2+3х-4

A: Given,  ∫ 5x2+3x-4dx

Q: x²y' + 2xy – 2y = 0

A:

Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

A:

Q: 3. Find the second-order partial derivative fry (x, y) for the function, f(x,y) = 4x3 – 5x²y – 3y +9…

A: f(x,y)=4x3-5x2y-3y+9Differentiate partially w.r.t xfx(x,y)=12x2-10xy

Q: For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There…

A: Given, For a concert event, there are $30 reserved seat tickets and $20 general admission tickets.…

Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

A:

Q: Jestion rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Given the query is to find the dimensions of the garden.

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: From the graph the zeros are -2, 0, 3.The equation of the function is given…

Q: c) Find a homogeneous differential equation whose general solution is given by y = c,x-1 cos 3lnx +…

A: Let's find.

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumption varies according to the…

A:

Q: 2. The population of a city grows from a initial size of 1000,

A:

Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

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

A: Given,  s+3s2-8s-9

Q: Select the conic section represented by the equation. y 2 = 3x line ellipse hyperbola circle point…

A:

Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: 2x and y 2x. Decide whether to integrate with respect to a or y. Sketch the region enclosed by y…

A:

Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumptlon varies according to the…

A:

Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Explanation of the answer is as follows