Which polynomial function would have the end behaviour of as x→ too, Y→ co? a) f(x) = 7x³ - 8x* - 2x³ + x² + 3x-2 b) f(x)=x³-9 c) f(x) = −4x² + 3x¹ − 6x³ + 2x+8 - d) f(x) = −6x³ + 3x² + x - 11

Q: Determine when the function f(x) = 3x³+4x² - 59x-13 is greater than 7.

A: Follow the procedure given below.

Q: 3- Classify Vectors Analyze the following algebraic vectors. (Time estimate: 10 mins) a = (5, 2, 17)…

A: Given :a→=5, 2, 17b→=3, 2, 3c→=9, 2, 45

Q: Use the matrix P to determine if the matrices A and A'are similar. P = - - - [81] A = Α' p-1 5 _$$]…

A: To find matrices P(-1) and P-1AP

Q: Determine the completely factored form of f(x) = x³ + 3x²-x-3.

A:

Q: factorisation of polynomials.     (i)y³+9y²

A: factorisation of polynomials.     (i)y³+9y²

Q: suppose (2) in(x) (a) What type of function is f(x)? Logarithmic + (b) Give the domain of f(x).…

A: Given :   f(x)=lnx

Q: 9. Solve for x. Round to the nearest tenth if necessary. X-4=-2x+9

A: solve x

Q: 19. Find two unit vectors perpendicular to vector u= (7, 0, -1) and vector v = (1, -1, 1).

A: We have to find the unit vector

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: We need to find average values.

Q: A 15m high closed cubical container is fully filled by paint 11.Find the area of the wetted portion.…

A: According to question,Side of cube = 15 m

Q: Lesson 5.1 Pascal's Triangle and the Binomial Theorem Expand (x+4)³ using Pascal's triangle. 45.…

A:

Q: Two water tanks together can fill a tank in 9hours 36minutes the tap of larger diameter takes 8…

A: Two water tanks together can fill a tank in 9hours 36minutes the tap of larger diameter takes 8…

Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

A: We have the following properties of logarithmlogam-logan=logamnlogam+logan=logamnnlogam=logamnwhere…

Q: B: Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3) (

A:

Q: 7. Simplify. (x²+x-12)/(2x²-x-3)

A:

Q: 4. Prove that det (A) = det (A¹) for a 2 × 2 matrix.

A:

Q: Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas…

A:

Q: 3 6. Let A= 0 x+1 1 x -8 x-1 For what values of x does A-¹ exist?

A:

Q: A deposit of $100 is made into a college fund at the beginning of each month for 10 years. The fund…

A:

Q: he amount of charcoal a coal burner burns varies directly as the time taken for cooking. If the…

A: Given that the burner burns 600 gram in 20 minutes, then our aim is to calculate how much time does…

Q: 3. Let W be the subspace of R3 [x] spanned by the polynomials 1+2x+3x²+4x³, 2+3x+4x²+x³, 3+4x + x² +…

A: Please see the below picture for detailed solution.

Q: Find the amount that results from the given investment. $50 invested at 12% compounded continuously…

A: Given the investment is compounded continuously

Q: 8. Let V={(x,y)x,y € R}. Define addition on V as follows: (x»x)+(x,y)=(x +2x, 1,y+Y,+2) Find the…

A: To find zero vector of V

Q: Rachel invested her savings in two investment funds. The amount she invested in Fund A was $6000…

A: Given problem:- Rachel invested her savings in two investment funds. The amount she invested in Fund…

Q: 3. Graph the inequality -4 -8 -7-6-5-4-3 -2 -1 0 1 2 3 - 4 5 67 @

A:

Q: O LINES AND FUNCTIONS = The ent Domain and range from the graph of a continuous function apir of the…

A: We will find the range and domain of the given function as shown below

Q: For the functions f(x) = and g(x)= = x-3 domain using interval notation. (fog)(x) = Domain of fog: F…

A: We need to find composition and domain.

Q: The vectors A = 3i+j+ 4k,

A:

Q: 3. Do the set of vectors S = { x²+2x-4, 6x² +7x+3, 2x²+x} a basis for P2? Refer to the definition of…

A: To show the vectors S a basis for P2

Q: 1. Choose three different non-zero integer values for the empty boxes and find the determinant of…

A: Let we assume three different non zero integers are 1,2 and 3

Q: If f(x) = 3x³ and g(x) = x³ - 2x find and simplify 2 f(x) - 6g(x). Select one: O A. 3x³-12x B. 12x…

A: Given that fx=3x3 and gx=x3-2xTo simplify:2fx-6gxSolution :

Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x) = 3x² t(x) =…

A:

Q: 20. Let A= 1 0 3 2 -2 2 3 01 a. Find the eigenvalues of A.

A: We have to find out eigenvalues

Q: Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁ 0 T₂. T₁: R² → R², T₁(x, y) = (x -…

A: Given

Q: Consider the following: C(x) = 4x+5 **4 a.) state the domain of function (includes all real #'s b.)…

A:

Q: Solve the compound inequality. Give the solution set in both interval and graph forms. x-2≤6 and…

A: We can solve the compound inequality as below.

Q: Solve and check the following equation. x-9 9 X 2 2 The solution set is Se

A: We have to solve and check the given equation.

Q: The tree diagram represents an experiment consisting of two trials. Enter the probability to the…

A: Given

Q: ind the matrix A' for T relative to the basis B'. T: R² → R², T(x, y) = (-2x + y, 2x - y), B' = {(1,…

A: We have to find matrix

Q: 3. For the function y = 27 (3) identify the following: i) Domain: ii) Range: iii) x- and…

A: Given function:- y=27(1/3)x

Q: The scale on the map is 1 : 25000 How many kilometres on the ground is represented by 9 cm on the…

A: The scale on the map is 1 : 25000 How many kilometres on the ground is represented by 9 cm on the…

Q: Instructions: Find the slope between the two points given. Then, use the slope and point ONE to…

A: The line passes through the points,Point one: 1,2Point Two: 0,-1

Q: lim X-0 f(x) = 2-xx ²0 x+2, x>0

A:

Q: 36. The problem below shows steps in finding the product of two two- digit numbers using this…

A:

Q: Find the average rate of change of the function f(x), given below, from x = 3 to x = t. f(x) = -5x²…

A: fx=-5x2+3x-1 from x=3 to x=t

Q: Classify the following statement as an example of classical probability, empirical probability, or…

A: Given problem is :

Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

A:

Q: Translate the following phrase into an algebraic expression using the variable x. Do not simplify.…

A:

Q: 3.) ● 0 ● ● F(x) = = (x ² + x-30) - vertex (x, F(x)) = Axis of Symmetry: x-int (smaller) x-int…

A:

Q: Find the indicated function value. Enter your solutions as follows: If the solution is -, then enter…

A: