In each of Problem substitute the given values of x, y, and z into the matrix equation and use matrix multiplication to see whether the values are the solution of the equation.

Q: solve the given differential equation usingproper replacement.

A: Here we have to solve the given differential equation using proper replacement.

Q: Find general solutions of the differential equations . Primes denote derivatives with respect to x t...

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Q: If Z= sinh () x- show that:

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, ...

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Q: q1 for all positive integers n

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Q: prove that esch'x - In (* + x2 %3D

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Q: If xy + y2 = 1, find the value of d2y/dx2 at the point (0, -1).

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Q: 1. A sector has an arc length of 47t and an angle of . Find the radius of the sector and its area.

A: Dear student as per our rule in one session we can only solve one question. Please post the other qu...

Q: Find the effective annual interest rater of the given nominal annual interest rate. Round your answe...

A: Topic- Interest

Q: e traveled 874 miles in the airplane at an average speed that was 500 mph ster than the average spee...

A: Since you have posted a multiple sub-part problem ,we solve first 3 subparts for you .to get the rem...

Q: Q.1) Evalnate the following integral 2dz (3(la z)+12 lnz-15)i

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Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹√3, 1›b = ‹0, 7›

A: Please see the explanation below

Q: A rectanglar window of height 5 feet and width 15 feet is on the side of a tank in an aquarium (so t...

A: Let us consider a small horizontal strip of thickness dx at a depth of x  from the top of the tank w...

Q: The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patient...

A: The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patient...

Q: Q1) For the equation of Circle y? = -x? + 4x +7 Answer two of the following : 1- The area of the squ...

A: In the question it is asked to calculate the area of the square inside the circle which has the diam...

Q: 2.00 ft 3.75 ft

A: Consider the figure As the diameter of the circle is 3.75 ft, we get its radius as 1.875 ft. So OB=...

Q: The total cost (in dollars) of producing  x electric guitars is:           C(x)  = 1000 + 100x – 0.2...

A: Given, the total cost of producing x electric guitars is                                            ...

Q: Revolve the region bounded by the graph of y = x 2 , y = 0, and x = 3 about the y-axis. Find the vol...

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Q: 4) Show that in general,the sum of the roots of a quadratic equation ax2+bx+c=0 is −b/a whereas the ...

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Q: Obtain the integral curve for +y cotx dx e*cscx passing through the point (0, 0).

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Q: aluate the following integral 2dx a (3(ln r)2 + 12ln a- 15)

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Q: Find dy tor = (x-1)(x²-2x) dx

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Q: 3- If the equation of the hyperbola is 4x? – 9y? = 36 Find the distance between the negative foci an...

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Q: dy ズーズ sing the definition of derivative, find if y = dx 1-x

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Q: show all work please

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Q: Find the area of the shaded region below. yA x= y² – 4y (-3, 3)–

A: The given in blue color is:  x=2y-y2   The given in green color is:  x=y2-4y

Q: Find both the parametric and vector equation of the line segment between (−2, 3) and (5, −1) where 0...

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Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: 211 211 5- = cos nx dx= [cos nx cos nx dx 0.

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Q: intergral (x+5) / (x^2+6x+9)

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Q: 9) f(x. v) = sin (x- 3y) Ans. f, =2sin(x-3y)cos(x-3y),. f, =-6sin(x - 3y)cos(x-3y)

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Q: If $800,000 is invested at simple interest at a rate of 6%, calculate the total amount after 5 years

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Q: 6. Let f(x, y, z) = e» cosh y + z and P: (-1,0, 0). Find the derivative of f at the point P in the ...

A: Given: f(x,y,z)= e-xcoshy+z.

Q: 2. Prove thatn+ 100 > 3" if n is a positive integer with 1 <n< 3. (Hint: Proof by cases)

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Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = 7 - ...

A: At first find f'(x) ,to get critical point put f'(x)=0. For critical point x=a (say), make intervals...

Q: 5) Find m so that g(x) (x - m =1-mx if x <3 if x 2 3 Is continuous for all x?

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Q: Find g'(9) given that f(9)= -8, f'(9)= -2, and g(x)= (6x+1)/f(x). g'(9)=?

A: The detailed solution is as follows below:

Q: (a) Find the slope of the line that passes through the following points: (-2, -1) and (2, -6)   (b) ...

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Q: In Exercises 86-89, use your graphing utility to enter each side of the equation separately under y,...

A: Given equation is: 5x + 2(x - 1) = 3x + 10 We have to solve for x.

Q: Give the correct input and output values for f(x) if f(x) = x³ + x.

A: Given that f(x) = x3 +x

Q: B) Find and if x sin 3z and y = tan 3z dx

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Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this pl...

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Q: For the function y = 3 cos x: a. What are the maximum and minimum values of the function? b. What is...

A: Explanation of the solution is given below...

Q: use the tables on the next page, whichgive a set of input values x and the corresponding outputsy th...

A: A linear function is a function in which the maximum power of x is 1.

Q: Find a polynomial p such that p(-1)=0, p(4)=0, and p(2)=3.

A: We have to find the polynomial p(x) with the given condition.

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y 5 dzy dy and dx B) Find if x = ...

A: A) The nearest distance from any point to the line is always a length of the perpendicular from the ...

Q: Evaluate the function for the given values. k(1/3) k(-2.4) k(1.1) k(2/3)

A: Since you have posted multiple subparts we solve the first three subparts for you to get the solutio...

Q: Q2 Find (d y/d x)& (dy/dx²) ey cosxy = X

A: Given  The equation is exycosxy=x

Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so, ...

A: We have to check whether the function f(x)=5-x23, -1,1 satisfies Rolle's theoem.

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.