What length does the interval have after k iterations of interval bisection ?

Q: Graph the system of inequalities. x+y≤3 x-y≤5 Use the graphing tool on the right to graph the system…

A:

Q: q 7 + 2(981) 1² 11 15 Find the y value. PS: the Ans 717 983 7/2=1.16

A: The mathematical equations can be solved algebraically and graphically. The solutions of the…

Q: Evaluate the expressions. (a) 50 div 7 7.143 (b) 50 mod 7 1 ]x

A: We shall answer the following in next step. We also recall the definitions

Q: Thank you for the answer. I am struggling to understand it due to the formating. Is it possible to…

A:

Q: Solve the initial value problem. dy dx +5y-4e - 3x = 0, y(0)=0

A:

Q: 3. Compute x = 8623 mod1997 using the smallest number of operations (multiplications). 1805

A:

Q: (a) Write down the Taylor series for f(x+^x and f(x - Ax) about the point x. Explicitly keep track…

A: (a)The Taylor series expansion of fx+h is…

Q: 1. Find x, if 16 e4x = e16 (express answer in terms of In2 and integers)

A:

Q: x = −2x+6, x(0) = 0. (a) Use the integrating factor to find the general solution

A:

Q: 6. Use the graph of h to answer the following. (a) Find all values of c for which h(c) is a local…

A:

Q: The function s= - +³ + 3t² -3t, 0 st≤ 4, gives the position of a body moving on a coordinate line,…

A:

Q: Given that V= pz cos o, find VV and V²V.

A: We have given that, V=ρ2zcosϕ We need to find ∇V and ∇2V. We know that gradient of function fx, y in…

Q: Find the mean for the data items in the given frequency distribution. 3 1 Score, x Frequency, f The…

A: The data for the frequency distribution is given by : Score, x 1 2 3 4 5 6 7 8 9 10 frequency,…

Q: Partial Solution of (4+sine") y'= e*((sec²e²"-y cose"); y (lnx) = 1/4

A:

Q: (i) Solve the equation (ii) (a) Express in the form k√√2, where k is an integer. (b) Hence, or…

A: We have to answer the given question without using calculator:  Q3.  (i) solve the equation  42x+1 =…

Q: If you are given odds of 6 to 7 in favor of winning a bet, what is the probability of winning the…

A: Given:  Odds of 6 to 7 for winning We need to find the probability of winning

Q: A popular brand of pen is available in 10 colors and 3 writing tips. How many different choices of…

A: Here we have to find no of ways a brand of pen can be selected.

Q: Given the below matrix, determine the following. Show all work. a. The eigenvalues for the matrix.…

A:

Q: (y - 3y + 2)√9+ x²dx + x²dy = 0

A:

Q: Use a graph or level curves or both to find the local maximum and minimum values and saddle point(s)…

A:

Q: Prove that Q(√ 2, 3√ 2) = Q(6√ 2).

A: In this question, we have to prove that  ℚ2, 23 = ℚ26.

Q: Find all the solutions of 25+2=4+42²48=²47162+32=0 in the form of xtiy

A: Z=-2 is real root then factor in irreducible form after that using quadratic roo

Q: The dividend was divide by another polynomial, resulting in the given quotient and remainder. Find…

A:

Q: #1 y= x³ + 4x − 15 at x = 0

A: As per policy, we are allowed to answer only one questions at a time. So, I am answering the first…

Q: 4. Determine if the following functions are onto. Explain why. f:R R f(x) = x³ + 200 •f:R → R •f:…

A:

Q: A charity event sells adult tickets for 12 euros and children's tickets for 6 euros. The total…

A: Let there be x adult tickets and y child tickets. The number of tickets sold is x+y=1995 Cost of 1…

Q: 5. If sin A = a 2 and 90° <A < 180°, then cot A =

A:

Q: Exercise 2 For each of the following logical expressions, say whether they are true, or give coun-…

A:

Q: Write the second order inhomogeneous linear differential equation (t) + a₁ (t)*(t) + ao(t)x(t) =…

A: We are given the following second order inhomogeneous linear differential equation.…

Q: Obtain the general solution to the equation. dy (x²+12)x+xy-7x = 0 dx The general solution is y(x)=,…

A:

Q: Calculate the fourth-order Taylor polynomial for f(x, y) = cos(ry)e-²-y² at the point xo = (0,0).

A:

Q: K For a segment of a radio show, a disc jockey can play 5 records. If there are 8 records to select…

A:

Q: Use the formula for C, to evaluate the given expression. n 7C4 7C4 (Type an integer or a simplified…

A:

Q: Name On Your Own 6+ ½ = 9. To paint a bedroom, Jade estimates she will need to buy 34 gallons of…

A:

Q: Use spherical coordinates to find the volumes of the two solids obtained when the hemisphere z =…

A:

Q: Find the Perimeter of the following shapes: 2x + 1 3x 2. 4x + 5 3x-2

A: Perimeter is the length of total size of outer layer. (1) In this image we will Sum total length of…

Q: 6. Sketch the graph of y= Cos (0.5x + 20m) from x = -2π to x = 2π

A: Cosine graph:    The cosine graph is up and down graph i.e.                 The cosine graph is…

Q: Find a, b, c, and d such that the cubic function f(x) = ax³ + bx² + cx + d satisfies the given…

A:

Q: Consider the solid generated when the region enclosed by y = √x, y = 2 and x = 0 is revolved about…

A:

Q: Aleksei lives in Yakutsk--- the coldest inhabited city in the world where the average temperature…

A: Given : at 9 AM, the temperature inside Aleksei’s house was 20°C, 2 hours later, the temperature…

Q: Exercise 1 For each of the following logical expressions, say whether they are tautologies, or give…

A: Given that the domain of quantification is the Boolean values TRUE and FALSE. A logical statement is…

Q: Consider the system of linear equations [8 a 0;a 2 -1;0 -1 2/3] column[x y z] = column[1 2 3] For…

A: The given system of linear equations, 8a0a2-10-123xyz=123 We have to find the values of a for which…

Q: Let V = (a) VV, sin cos I -. Determine: (b) VXVV, (c) V.VV

A: Given : V=sinθ cosϕr To Find : a ∇V     b ∇×∇V    c  ∇·∇V

Q: 15. y" - 4y' + 3y = 0; y(0) = 1, y'(0) = 1/3

A:

Q: Evaluate Sc -2πT Evaluate sin(z) dz where C is the circle |z| = 3 in ccd. dx by complex variable…

A:

Q: K You randomly select one card from a 52-card deck. Find the probability of selecting a red five or…

A:

Q: Domain of f(x)

A: we shall solve first three subparts only as per  the company guidelines. For others kindly post…

Q: e (2xy) dA, where R is the triangle shown below. R Evaluate y-axis (0,3) √x+y=3 R x - 4y = 0 (4,1)…

A:

Q: R(u, v) = (3 sin(2u), 6 sin² u, v) (0 ≤u≤T

A:

Q: 6. (1 7. Find the matrix P of the orthogonal projection onto the line spanned by w = 3 Find the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.