(a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the value of 2a13+ a21. -2 07 (b)

Q: Find the general solution and the particular solution to the given initial condition of the…

A:

Q: 5. Evaluate a) -1 243 (27²) b) -243 c) 243 d) 243

A: 5. The given data is:  Evaluate (-127)53

Q: Explain why the limit does not exist. X lim X-OX

A:

Q: State the domain, vertical asymptote, and end behavior of the function.…

A: Let's solve domain, vertical asymptote and end behaviour of given function.

Q: Find x<1/2, which is a solution to the equation, e^2x-3e^x+2=0.

A: Topic:- algebra

Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

A:

Q: Determine the Exact Values of the following expressions 1. sin210 2. (cos30) (2sin60) 3.…

A:

Q: Determine whether sec(0)de converges and, if

A: Topic:- application of integration

Q: Which of the following has a horizontal asymptote of y = 0?

A: In all given option

Q: the graph of f(x) to evaluate the following: f(x) 1 2 3 4 LA 5 6

A: Topic:- function

Q: What is the remainder when x² + 3x is divided by x? a) 4 b) -3 c) O d) you cannot divide by x

A: Option (c) is your correct answer  For detail...go through the solution

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

A:

Q: 45° a The height of a right triangle with base angle 45 and hypotenuse 6 is

A: This question is based on trigonometry ratio

Q: The graph shows the number of trips taken annually on a certain state's mass transportation system.…

A: We can find the answers in the following steps.

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

A:

Q: Find each indicated quantity if it exists. Let f(x) = for x 1 . Complete parts (A) through (D). (A)…

A:

Q: 30° 19 The height of a right triangle with base angle 30° and base 19 is Q

A:

Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

A:

Q: Part 1 of 3 Suppose that lim p(x)=9, lim r(x)=0, and lim s(x)=-7. Find the limits in parts (a)…

A:

Q: The angle of elevation to the top of a building in New York is 10° from the ground and 1.25 miles…

A: Given query is to find the height of the building.

Q: L’Hopital’s Rule. Find the limit of (xl - 1)/l as l goes to 0 (not x, l). This is called the…

A:

Q: x = 20, and Σ x = 84. Calculate the sample variance for samples where N = 12, X

A:

Q: Express the function in the form f ∘ g. (Use non-identity functions for f and g.) u(t) =…

A:

Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 48…

A: Solution:

Q: 1 1 1 6⁹ 9' 5' 1 24 24⁹ 40 and 5 12

A: Given fractions:- 16, 19, 15, 124, 140, and 512

Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

A:

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: Find f'(x) and f'(c). Function SILJ f(x) = sin x X Value of c C = T Im 3

A:

Q: The degree of the polynomial function f(x) = x(x − 1)³(x + 1)² is a) 3 b) 4

A: Given function f(x)=x(x-1)3(x+1)2 We have to find its degree. Remember : Degree of a polynomial is…

Q: Another way of writing 16 = 24 is a) log42 = 16 b) log₂ 16 = 4 c) log₂ 4 = 16 d) log16 2 = 4

A: logax = y is equivalent to ay =x .

Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

A: draw angle 174°

Q: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

A:

Q: (3 − 4x)12 dx

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The graph of the polynomial function f(x) = −2x(x − 1)²(x − 2)² extends from

A: Given polynomial f(x)=-2x(x-1)2(x-2)2

Q: Determine the standard form of the equation of the circle given its center and radius. Draw its…

A:

Q: (2) Evaluate the definite integral ₂ |x|dx.

A: Concept: Definite integral: The region beneath a curve between two set limits is a definite…

Q: Determine if the sequence (nsin(pi/n)) is convergent or divergent. Find its limit if it is…

A:

Q: Suppose an object is fired vertically upward from the ground with an initial velocity of 96ft/sec.…

A: Given: The height of the object above the ground after t second is given bys(t)=96t-6t2To Find:…

Q: Question 8 40° B= Q Note: Triangle may not be drawn to scale. Given the triangle above, answer the…

A:

Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function

Q: 7. What is the range of the function f(x) a. [-5, 5] b. [7, -4] c. [-8, 2] = 5sin(2x + n) - 2 ? d.…

A:

Q: 5п Convert the angle from radians to degrees. 4 5T 4 degrees Convert the angle 210° to radians. Give…

A:

Q: Using the function f(x) = 7x² + 4x - 7, find the slope over the interval listed below [-6, 5] m =

A:

Q: Solve the following equations 1) 2 (y + 1)e* dx + 2(ex - 2y)dy = 0 dy — 2) 2xy dx + y² - 2x = 0

A:

Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

A:

Q: 3. What is the amplitude of the function f(x) a. 2 b. 3 C. 4 = 2sin(4x)? d. π

A:

Q: Write as a radical expression. 4) n 2

A: Write in radical form

Q: What is the maximum value of y = 2sinx? a. 1 b. 2 C. 1/2 2 d. 2π

A: Given query is to find the maximum value of the function.

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

A:

Q: How do I find limits based on a graph?

A: Topic:- application of calculus