Parabolas with vertex on the y-axis, with axis parallel to the x-axis, and with distance from focus to vertex fixed as a. Ans. x(y')? = a

Q: 了告 da 33

A: see the image attached below

Q: using half angle identities sin -67.5°

A: We know that,sin(-θ)=-sinθcos(90°-θ)=sinθcosθ2=1+cosθ2We have to evaluate: sin(-67.5°)

Q: 2. It is assumed that consumption C depends on income Y and that this relationship takes the form of...

A: Given linear function is C=a+bY            (1) where C is the consumption based on income Y. Given t...

Q: The Power Set a) Let A = {a, b, c}. Find P(A). b) Let B = {0, 1} Let f: P(A) → B. The input of f is ...

A:

Q: Use the definition of 1 1 to prove that the given function is 1 - 1. Let f:R → Rwith f(x) 3(x - 4)

A:

Q: Determine if S , 2x – 5y = 9} is a subset of V where V = R² is a vector space.

A:

Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

A:

Q: Determine the singular points of the given differential equation. Classify each singular point as re...

A:

Q: Find the general solution of (xe +y)da – cdy = 0 %3D

A: Given differential equation is xeyx+ydx-xdy=0 we can write it as dydx=yx+eyx             (1) which i...

Q: 3x, + 3x2 + X3 =7 ーX、-X2 =-3 2X, + 2x2-Xメ3 - 8 |

A:

Q: 8 9 10 11 12 9 (y) -7 4 -3 -9 dy Let y = f (x) be the solution to the differential equation 2 = 4x +...

A:

Q: 2. Compute for a real root of sin va - x = 0 using three iterations of Fixed-Point Iteration Method ...

A:

Q: Set up the initial simplex tableau corresponding to the following linear programming problem. object...

A:

Q: 1 a b Let A = 0 5 2 0 0 1 (i) Determine the condition of a and b so that A is diagonalisable.

A: Remark: An n*n matrix A is diagonalisable if and only if it has n linearly independent eigenvectors....

Q: - Find 9k³. 200 Lk=99

A: we have to find  ∑k=99200k3 we know that ∑k=1nk3 = n2(n+1)24 Now we can write ∑k=99200k3 as ∑k=99200...

Q: IFFERENTIAL EQUATION plve using variation of parameters p² + 1)y = tan?x

A: Variation parameter method

Q: 30 H. 260 38

A:

Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

Q: 3. Find the Taylor series expansion for the following function. f(x) = around 2 x+1

A: We know that the Taylor series is represented as:-∑n=0n=∞fnan!x-an=f(a)+f'(a)1!(x-a)+f''(a)2!(x-a)2+...

Q: For the following functions: a. Find the vertical Asymptote. b. Find the domain and range. f (x) = -...

A:

Q: 2. Find the inverse transform of the following function 1 f(t) = s²(s – 1)2

A:

Q: Evaluate the determinant of matrix A  Chios Method  Pivotal Method  Basket Method  Co-factor Expans...

A:

Q: 2. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo = using three iterations of Newton- Raph...

A:

Q: S. Given: AABC with AB AC 8 D Prove: ZB C Statements Reasons 1. Draw the bisector of ZBAC and let th...

A:

Q: (a) Let u, v and w be vectors in R³. The volume(u, v, w) is given by determinant of [u v w]. (i) Der...

A:

Q: Express each of the following integrals as a r function. 8. 9. e- dx Hint: Put x* = u.

A: 8 Given integral is ∫0∞x23e−xdx. The Gamma function is define as follows n=∫0∞xn−1e−xdx Now, integra...

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president, vice-pre...

A: This question is related to permutation and combination. The solution is given below

Q: Twenty-three slips of paper are each marked with a different letter of the alphabet and placed in a ...

A:

Q: 2. Show that the graphs formed by deleting one edge from Ks and K33 are planar.

A:

Q: Find the three Sylow 2-subgroups of D12 using its subgroup lattice below.

A: Given: Using D12's subgroup lattice below, determine the three Sylow 2-subgroups. 

Q: C1e-2e + Cze3 |

A:

Q: Exercise 3.13. Let f : AB be a one-to-one correspondence. By Exercise 3.12, f-1: B → A is also a one...

A: see the attached image below

Q: subgroups of G. Let x,y e G. We define the relation x ~ y by the following definition: x ~ y iff y =...

A:

Q: Transform the determinant into a triangular determinant and get its determinant. 8. 6. |A| = -3 7 -4...

A:

Q: 9. 4m Vm Vm 3 2 vm + Vm Express in the form Am +B, where A and B are integers to be found. 5

A: Solution

Q: Define a mapping fn : Z → Z by fn(x) = 1 – nx for each integer n E Z. a. For which values of n is fn...

A:

Q: Note: K= 6 The function R(x) = -1.07x² + (K + 12.3)x – 116 shows the relation between the revenue (R...

A: Given revenue function is R(x)=-1.07x2+(K+12.3)-116 where x is  the sold product. Also given K=6, th...

Q: b) 16 4 y=-0.0519x + 1.0777x -7.4569x+ 20.247x- 12.333 12 R = 0.6113 10 10 tame Calculate point t=10...

A: Underfitting is a scenario in data science where a data model is unable to capture the relationship ...

Q: Let 2a13 2a12 and B= |a|1+a21 a]2+a22 a13+a23 a12 a13 2a|| A= a21 а22 а23 аз1 аз2 азз| a31 a32 a33 I...

A:

Q: Let f( x,y(x) ) = y(x) +1 and y(0) = y0 = 2. Use pichard iteration and induction to show that yN (x)...

A:

Q: Question 7. Show that if =0 and u - = 0, then i = 0. Let i, u be two linearly independent vectors in...

A:

Q: A_is the probability that belongs to one or both of two events. * Union Intersection Sample points E...

A: First of all, let me define the terms here: 1. Union : if two events are associated say A and B, the...

Q: Consider the IVP S2(t) = -1+cos(t + x(t)) cos(t + x(t)) x(0) = 0. Show that the ODE is exact and com...

A:

Q: Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log,(z/xy)

A: To use properties of logarithmic functions to expand the given logarithmic expressions. 

Q: Question 4 Determine if the following statements are true or false. Prove if it is true or give coun...

A:

Q: d) Detdrmine the equation of the normal line to the graph of the function y + x²y = x sin(y²) + ye"*...

A: Let us consider the curve f(x,y)=g(x,y) To determine the normal line of the curve at P  Find the fi...

Q: proof Lemma contrap : forall P Q : Prop, (P -> Q) -> (~Q -> ~P). use coq

A: To prove: P→Q→~Q→~P for all propositions P,Q  

Q: Q8. Find the area bounded in 2nd quadrant for the function y = 8-2x. (Provide a sketch)

A:

Q: 1. Apply the Sieve Process from 200 to 300.

A: Asper the company rule, we are supposed to solve one problem from a set of multiple problems. Theref...

Q: 1. Carpet Fitting. You are a professional interior designer who is hired to work on the interior of ...

A: Given dimension of bedroom 15×20  feet. Also, we have to leave an even strip of flooring uncovered a...