3. Let 1 ƒ(x)=_=_=__and g(x)== x-4 Find f(g(x)) and find its domain.

Q: 5) -4<|2x+2 | ≤6 -a -2-2 -622x34 axs

A:

Q: Find the trace of the matrix. The trace of an nxn matrix A is the sum of the main diagonal entries.…

A: The given matrix is A= 1 0 5 1        0 1 -1 5       2 5 1 0      0 0 4 1.

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 21-1 3 7-10…

A: Find the determinant and then go ahead

Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2

A: Given, Area of R is 103

Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: Question Calculate the area, in square units, of the region bounded on the right by the line g(x) =…

A:

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: 18. The velocity, in ft/sec of a particle is given by v(t) = -16t+2. Find the position function s(t)…

A:

Q: 4* Find the perimeter of a sector of a circle with central angle = 3 16 b) 0 (4+1) O c) 08 ft d) 0…

A: Given :Radius r= 4 ftCentral angle θ = 4π3

Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

A:

Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…

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Q: Express 2187 as a power of 3

A:

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: Show that is the inverse of A 2 5 ¦ ¦] -- [_ 3 185 41 -88³-

A: We need to show that B is inverse of A.

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: This is a problem related to limit of the step function. Please follow the procedure given below.

Q: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…

A:

Q: The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours…

A:

Q: Calculate the angle between the normals to the surfaces x²y + z = 3_ and x log z − y² = −4 at the…

A: Angle between two normal vectors a and b is  θ=cos-1±a·b

Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

A:

Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: If f(x) dx = 3 and 5 f¹ f(x) dx = 25, then f f(x) dx = A)-2 B)1 C)-1 E) 8 D) 2

A: Given: ∫3-1f(x)dx=3 and 5∫31f(x)dx=25To Find: ∫-11f(x)dx

Q: for the following P.d.f of x, find the p(x<1) and p(lx|<1),F(x)=x2/18 if -3<x<3 and 0 in other place

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check…

A: Topic = Functions Correct option = neither

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: Given graph:-

Q: Let f(x) = x²²-2x-24 x-6 Find a) lim f(x), b) lim f(x), and c) lim f(x). X-6 X-0 X→-4 a) Select the…

A: The objective of the question is determine the limit of the given function and choose the correct…

Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

A:

Q: Engineers in a design department are assessed by their leader. A 'O' is 'Terrible' and a '5' is…

A:

Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

A:

Q: 7 g(x) = (3x²-2)-2 2x+3 و ga) = -2 (3x²-2) -3 / (2x+3) (6x) - (3x²-2) (2) (2x+3)2 (56) = (-2…

A:

Q: I don't understand why the sign was changed from + to - in the second line of step 6

A: see below the explanation

Q: (a) Prove, by mathematical induction, that for every positive integer n, 2²² =2²(n+1)²,

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Let g(s, t) = (sin(s)-t, e, s) and f(x, y, 2) = e²+²y+z Compute(fog) at (0,0).

A: See the details solution in belo

Q: 2 x-3+ 3-x 6. lim 4 9-1²

A:

Q: Find an equation of the tangent line to the graph of the function 2 x 4 2x+4 at the point (4, O Oy=…

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Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Two cars travel toward each other from cities that are 427 miles apart at rates of 64 mph and 58…

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Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

Q: Q3. Choose three of the following: n i. Find limn→∞ (1+¹). ii. Find the domain and rang of y =…

A: In this question we have to find the following part of question 3.   NOTE: As per our policy we can…

Q: If y = arcsin(ln(3x – 4)), dy

A:

Q: 15. Solve the following system of equations using the matrix method. Show your work. Express your…

A: We have to solve the given system of equations.

Q: 1. yp1: = 1 (+ dx (x+1)³(2x-1)³ find the derivative and save as yp1

A: Given yp1=ddx1(x+1)3(2x-1)3

Q: Create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: We need to create a piecewise function showing the rate of money f(x) that must be paid by a…

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A:

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: OE OF OA OB Ос OD The only horizontal asymptote of f(x) = A)y=0 E) y = In (3) B) y = 1 F) None In…

A: To determine the only horizontal asymptote of fx=lnxx.

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

A: To find the functions that solve all the differential equations