Use a substitute variable to replace y in order to make this DE separable, then separate and solve: 64x²-4ay+y² 4x² General Solution (explicitly): y(x) = If you don't get this in 5 tries, you can get a hint. y'

Q: Gerardo Norega bought a dinette set for $700, which he paid in 12 monthly payments of $63.35. (a)…

A: Price of the dinner set P=$700 Monthly payment EMI=$63.35 Period of paymentt=12 month=1 year

Q: 1. Prove that ** | sin a 2. Justify the following ((*+1)* [sin zl dx > I 3. Conclude. dr 2 and that,…

A:

Q: The velocity v, in meters per second, of an object at time t, in seconds, is given in the table…

A: t 0 0.5 1 1.5 2 2.5 3 vt 5.3 5.7 6.2 6.7 7.2 6.8 6.3

Q: Which of the following is equivalent to tPz? dt (A) —tPils|t (B) Hitt (C) fz(t) (D) - Hz|t (E)…

A: In actuarial science, life contingencies are used to study the probabilities of certain events…

Q: Using the Shapley-Shubik method, is it possible for a dummy to be pivotal?

A: Pre -Requisite Knowledge:- The Shaspley-Shubik power index of a player is given by,

Q: Using the Shell method only, find the exact volume created by rotating the region bounded by y=√x,…

A:

Q: 9. Use the graph to fill in the information: Max's: Min's: Domain: Range: (-3,0) (1,0) (1.554,…

A:

Q: Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies.…

A:

Q: Use the indicated method of solution to determine a one-parameter family of solutions for each DE.…

A:

Q: 8. Prove the statement made after Example 5.14: among all rectangles with a given area A, the square…

A:

Q: For each of the following, find the transition matrix corresponding to the change of basis from (u;,…

A: We have to find the transitive matrix corresponding to the change of the basis from u1, u2 to e1,…

Q: The natural number a divides the natural number b.

A: We have to translate the following statement into a quantified sentence. "The natural number a…

Q: n Consider Dn, the dihedral group of order 2n. Let Rn =, which is a cyclic subgroup of order n. Let…

A:

Q: Find all irreducible polynomials of degree 5 with coefficients in GF(2). (Hint 1: list all of the…

A: Sol:- There are a total of 25 = 32 possible polynomials of degree 5 with coefficients in GF(2),…

Q: If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0,then find the values…

A: The first equation of circle is x2+y2=1. The second equation of circle is x2+y2+4x+3y+k=0. To find…

Q: 15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If H 0 0 -11 021 130…

A:

Q: Evaluate the integral and show your work. Clearly show and justify your steps. a. Use u-subtitution…

A:

Q: A manufacturer of household items has total revenue given by the function R = 14.5x and has total…

A:

Q: Find Taylor series approximations using n=1, 2, and 4 to the function f(x) = 1 + eª at x = 0.6,…

A: In this problem, we are asked to find the Taylor series approximations using n = 1,2 and 4 to the…

Q: Use the position function s(t) = -16t2 + v0t + s0 (v0= initial velocity, s0= initial position, t =…

A: We are given the position function of the diver as:s(t)=-16t2+v0t+s0 where s(t) is the position…

Q: 4. The second order PDE ut = o²ur, where o is a real constant is called the (one-dimensional) heat…

A: Given that second order PDE is ut=σ2uxx is called heat equation. We have to show that…

Q: Find two vectors in R³ which are not in the Span Please be sure to justify your reasoning. { [ 1 2…

A:

Q: Consider the group of functions F(R) under addition of functions (so (f+g)(x) = f(x)+g(x)).…

A:

Q: Consider a linear code with generator matrix G = Encode the message 111 110 101 010 using this code.…

A:

Q: How much must be deposited today into the following account in order to have $75,000 in 5 years for…

A:

Q: Consider the functions F and G as shown in the graph to the right. Find the domain of G/F. ... What…

A:

Q: The set A is a subset of B.

A: QUANTIFIED STATEMENTS : The words "all" "some" and "none" are examples of quantifiers. A statement…

Q: Have you ever noticed that we use the vocabulary of angles in everyday speech? Here is an example:…

A: Yes, I have noticed that we use the vocabulary of angles in everyday speech.   In the example you…

Q: 3. Determine the form of the particular solution, yp for the differential equation: = xe tẻ te (D -…

A:

Q: Find the equation of the smallest circle passing through the intersection of the line x+y=1 and the…

A: Any circle passing through the points of intersection of the given line andcircle has equation…

Q: How many 4-digit numbers can be formed using digits from {1,2,3,4,5,6} if repeated digits are not…

A:

Q: 6. The following functions are strictly increasing in their domains. Find the domains of their…

A: The given functions, a) fx=3+lnex-2, for x>ln 2. b) fx=ae-λx+a, where a and λ are positive, for…

Q: what is the equation and r-squared value of the calibration curve ?

A: The required answer is given in the below step.

Q: 6 An arc PQ of a circle centre O and radius r, subtends an angle 0 radians at O 0 The length of the…

A: The equation for arc length of a circle is given by the equation L=r·θ where L=arc length (in…

Q: Prove that the pair of straight lines joining the origin to the points of inersection of the circles…

A: Given circlesS≡x2+y2+2gx+2fy=0S'≡x2+y2-a2=0The equation of common chord isS-S'=0or  2gx+2fy+a2=0…

Q: 1. 2. Zero is an even number. 3. 2 + 5 = 2x 4. /> // 5. 6. 4x - 2 = 5 7. 8. 9. n is a composite…

A: A sentence whose true or false depends on variable in open sentence. Sentence which is always either…

Q: 3. Let A = {a, b, c, d, e}. Let B = {m, n, o}. Let C = {a, c, f}. Find the following. (a) AUBUC (b)…

A:

Q: (ii) Let C be the unit circle around the origin. Suppose a fellow student proposes the following…

A: As per the question we are given a 2d conservative vector field g(x, y) and we have to : (ii) Show…

Q: Find the solution to the system of linear equations below: 2x-3y+z=7 x+3y = 11 2x+2y+z = 5

A:

Q: Draw and describe level surfaces (isotherms) corresponding to the temperature pattern T(x, y, z) =…

A: Level surface:-  For any function f : Rn to R . The level surface of the function is defined as…

Q: Find a bijection between the following sets: (a) (8,00) and R. (b) (-8, 8) and R. (c) {-1,1} x N and…

A:

Q: Use the following rates and payments table. Monthly Rate 1 1 2% 1% Unpaid balance Up to $500 Over…

A: Given: Monthly Rate 112% 1% Unpaid Balance Up to $500 Over $500 New Balance Under $200 Over…

Q: Calculate the amount of money you'll have at the end of the indicated time peri You invest $4000 in…

A: Investment P=$4000 Timet=20 years Rate of Interestr=6%

Q: Please answer #6 now.

A:

Q: If the circle x^2 + y^2 = 1 is completely contained in the circle ^2 + y^2 + 4x + 3y + k = 0, then…

A: (a)The given circles arex2+y2=1       ....(1)and   x2+y2+4x+3y+k=0…

Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

A:

Q: Explain How to solve problems involving power (the rate of doing work)?

A: Power is the rate at which work is done. It is a measure of how quickly work is being done, and is…

Q: Joe Clemente bought a stereo costing $1700 with $100 down and 10% add-on interest to be paid in 18…

A:

Q: QUESTION 1 SF-ds, where F(x,y,z)=tan(y²z³)1+z²sec²(x)) + 2z³k and S is the surface z = √ Use…

A:

Q: Find the general solution for x³y""-3x²y" + 6xy' − 6y = 2x_when_ x>0

A: