Directions: Expand the following binomials usin binomial theorem.

Q: Q4 let V=M₂x₂ of the form [a of with standard matrix addition and multiplication form -space-

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Q: Determine if S is a basis of P3. S = {1-t, 2t + 3t2, t2 - 2t3, 2+t3}

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Q: balance

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Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced…

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Q: 1 √√√√√x + x Solve the integral: S Ⓒ 6m/5+x²³/+c A C 5n/1+x²³ |+c B C © ²³m/1+x²³/+c C 5n/1+x²+c D C…

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Q: Question 15 Determine the length of the minor axis of the following ellipse: 5² +2² = 1

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Q: 6- Show that the Polynomial has a Z4 [x] 2X+1 in multiplicative invers. in 24 [x].

A: Given

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Hyperbola with centre at 0,0  and the transverse axis is the x-axis is given by  x2a2-y2b2=1  Then,…

Q: Write the equation of a sine or cosine function to describe the graph. 10 3- 2 8x 3 H 2 3. w|#| 41…

A: Formula of cosine cureve is f(x) = acos(bx) Where a is amplitude

Q: need the answer as soon as possible

A: Topic:- calculus

Q: The amount of carbon-14 present in animal bones after 1 years is given by P(1) Poe -0.000121 A bone…

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Q: The general solution of the equation (D4+D²)y=-12 is A y=C₁ + C₂x + c3cosx + casinx + 6x² (B y=C₁ +…

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Q: 11. True or False. sinh²x = - -+cosh (2x) O a. False. Correct answer is +cosh (4x) O b. False.…

A: topic- trigonometric identities

Q: 13. True or False. O a. False. Correct answer is O b. False. Correct answer is O C. False. Correct…

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Q: 2π A circle has a radius of 2 cm. Find the lengths of the arc Intercepted by a central angle of…

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Q: If a,,ª,,.....ª, is an AP of non-zero terms, what is the sum of the following series? 1 9,9₂ azaz

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Q: Sketch 0 = - Continue 2π 3 in standard position. Drag to show the angle. < x5 ?

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Q: 4. 5. x²-3x-10 3x+6 ÷ 6x3 2x 5x-7 x+3 + x+13 x+3

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Q: Siven the arithmetic sequence-4, 16, 36, 56 ind the #35

A: Topic :- sequence and series

Q: 1+x² Find the area of the region bounded by the curve y=- and the lines y = 0, y = x,x=2. 2x2

A: Follow the procedure given below.

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest hundredth.…

A: Explained below

Q: State if the scenario involves a permutation or a combination. Then find the number of…

A: Here we need to select the players and arrange them in the batting order. so we need to do selection…

Q: Hagrid can travel 40 miles on his motorbike in the same time it takes Severus to travel 15 miles on…

A: Topic:- algebra

Q: Consider the system 6x + 3y = 21 and y=-2x + 7. Will this system have one solution, no solutions or…

A: Given :6x+3y=21 y=-2x+7

Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find cos Y, tan…

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Q: Simple problem using determinants with solution

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Q: Solve the inequality. Write the solution set in interval notation. 6) -1 -2(2x + 1) <x - (-1-x)

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Q: 1. Lucas is planting grass on the shaded portions of the yard. What will be the total area covered…

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Q: What is the number product of two that add to 10? What number yield this product?

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Q: Graph the following function over the indicated interval. f(x) = -4*; [-3,3] Choose the correct…

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Q: A flashlight can light a circular area of up to 6 feet in diameter. What is the maximum area that…

A: Given that the flashlight can light upto an area of 6 feet in diameter.

Q: Let f, g = R[x] be polynomials, with deg g > 0. (a) The division rule for polynomials states that ƒ…

A: The objective is to solve the above question.

Q: Watch the video and then solve the problem given below. Click here to watch the video. (a) (b) An…

A: The maximum horizontal distance: Solve for x in y=0 -0.01x2+0.6x+6.1=0

Q: en cos 0 = 2, find the other five trigonometric functions. Draw a picture to support your answers 20…

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Q: x+2-√√a x=3 = √√√x x-6

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Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

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Q: 7. Find x at f(x)=0

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Q: A train ride is $2.85 per ride. A commuter can purchase an unlimited-ride card for $45 per month.…

A: one ride cost  = $2.85 unlimited ride = $45 in $45 if per ride $2.85 so commuter get 45/2.85 = 15.79…

Q: What is the maximum value of z given the objective function z = 2x + y? What is the maximum value of…

A: Let's find maximum or minimum value of given function.

Q: Let f= (134568) (2 7 9) and g=(1 8362497) be permutations in Sg, written in cycle notation. What is…

A: To solve the given permutation group problem.

Q: Write true otherwise false if the pairs of sets are equal,{{1}},{1,{1}}

A: Two sets A and B are equal if A and B  have the same elements.

Q: Find all of the possible values of the constant k for which is the equation of a circle. x² + y² +…

A: Solution: x2 +y2 +10x -14y +k2+10 =0 We know the general form equation of circle x2 +y2 +2gx +2fy +C…

Q: 3. In the interval 0<x<4 of the second derivative test, f(x) is Oa. Changes direction O b. Not…

A: (3)second derivative testf''(x)&gt;0 ,   f(x) is concave upf''(x)&lt;0 ,   f(x) is concave down

Q: Determine the radius and interval of convergence of the following series. Draw the radius of…

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Q: Q-4: Define the mapping T: R³-R² by Ty a) T: R³ → R² by T ([₂]) = [X + 2] 1 Show that T' is a linear…

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Q: The function f(x) is shown in the graph. 2 1 2 3 6 7 -1 0 -1. -2 -3 4 -5 -6 f(x) an

A: Given Problem:- Find the type of graph

Q: If g(x) = — _*[e'-in(21+1)]dt, find g''(x) . - dx 2 A ex_ (2x + 1)2 B e* - In (2x + 1) 4 с ett (2x +…

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Q: 7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams…

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Q: recreate the following image but with a slice of pizza

A: We need to recreate the image.

Q: 6 8 7 S f(x) 2 1 -10-9-8-7-6 -5 -4 -3 -2 -10 -1 -2 549 ? ? ? ? 4 1 2 3 4 5 6 7 8 9 10

A: Topic:- function