Find an explicit solution of the given initial-value problem. 1 y(6) = 6 y = dy dx = y² x² - 1 -

Q: 4 Find the area of the region in the first quadrant bounded by the curves y X Xx U y = x, and y = 4x…

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Q: We will later see that the leading term determines the end behavior of a graph. If the degree of a…

A: Given: The end behavior of graph is shown in the picture below, To determine: Which of the…

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A: Answer)  Giventhat: radius of the circle(r) =4 Central angle (theta)=5.2 radians Find out the exact…

Q: Problem8. Letfg,:I→R2 begivenby f(x) = (0, x), g(x) = (1, x). a. Specifyahomotopyh:I×I→R2 fromf…

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Q: (8) Using Romber integration, evaluate 1 1+x² dr taking h= 111 2'4'8 in the composite Trapezoidal…

A: Given : I=∫0111+x2dx     , h=12, 14, 18 To Find :Romberg integration  Note : According to the…

Q: Vf = Find the gradient Vf of the function f given the differential. df dƒ = (2x − 1) ye¯*dx +…

A: Given differential of function is  df=(2x-1)ye-xdx+x2e-xdy to find the gradient of the function.

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

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Q: In the field GF(pn), show that for every positive divisor d of n,xpn- x has an irreducible factor…

A: Consider the theorem " For each divisor m of n GFpn has a unique sub-field of order pn. moreover,…

Q: 5. The function G is defined by G(x, y) = x² + 4y², if x² + 4y² ≤ 5 3, if x² + 4y² > 5. Show that G…

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Q: 3. Use the shell method to set up. and evaluate the volume the intergal that gives of solid…

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Q: m(n⋅ n) — n(m. n) = (m × a) x n

A: The vectors u,v,w∈ℝ3 We have to show that u×v×w=u·wv-u·vw

Q: If the radius of a circle is 2 m and the arc length of a sector is 250 cm, calculate the sector…

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Q: 3. AnBCC. Prove the following statement: For all sets A, B, and C, if BCC, then

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Q: Secant method: 1. Compute the root of the equation ²e-3 = 1 in the interval [0, 2] using secant…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Question 12 The table below shows the database of vehicles on a used car lot. It's actually just a…

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Q: Use the definition of “f(x) is O(g(x))” to show that x4 + 9x3 + 4x + 7 is O(x4).

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Q: Use the Second Derivatives Test to find all the relative extrema and saddle points of f(x, y) = x³y³…

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Q: You, as a real estate agent, sell a property for $225,000.  If you earn a 6% commission, what is…

A: Sol:- As a real estate agent, sell a property for $225,000.  If you earn a 6% commission

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's…

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Q: The point (-2,1) is in the domain of the function given by f(x,y) = sqrt(x+2y) + ln(x+3y) True or…

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Q: and -∞o denote two distinct objects, neither of which is in 1 scalar multiplication on RU {o} U {-x}…

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Q: Q=ht, he-h 2- = (10 و 1-(210

A: We have to solve the following initial value problem:                 y''-2y'+y=0,          y(0)=1,…

Q: 3. If X={c,d,f}, then the following sets B is a basis for T=P(X) except A. B = {Ø, {c}, {d}, {f}} B.…

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Q: Write a linear function for the data in the table X y 0 3 1 1 2 -1 3 -3 4 -5

A: Solution:  To Write a linear function for the data in the table

Q: given quantity. (See Example 2.) 7. the sum of an even integer and an odd integer

A: We know that Sum of even integer and odd integer is always odd integer

Q: Please find the Laplace transform of et for t > s

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Q: Pls help ASAP.

A: Solution :  To solve given each equation

Q: The point 3 is in the range of the function given by f(x,y) = (2x^2)/(x^2+y^2) True or False

A: False Suppose the point 3 is lie in the range of f(x,y). Then there exists a point (x,y) such that…

Q: Hart Manufacturing makes three products. Each product requires manufacturing operations in three…

A: Note: According to our guidelines, we can answer only three subparts and the rest can be reposted.…

Q: Give e-N proof to show that the sequence {1} converges to 1 as n →∞.

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Q: Use algebraic techniques to determine whether the following function is even, odd, or neither. f(x)…

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Q: 2. The concentration of salt in a fish tank at position (z,y,z) is given by f(x,y,z) = 4 + xy + y² +…

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Q: Suppose that E is the splitting field of some polynomial over a field Fof characteristic 0. If…

A: It is given that E is the splitting field of some polynomial over a field F of characteristic 0 and…

Q: For the function f(x) = 6x² - 2x + 3, evaluate and fully simplify each of the following. f(x + h) =…

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Q: 5. Which of the following 4 statements are always true ? (i) (ii) (iii) (iv) Let A and B be…

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Q: 9. The set {0} in the indiscrete space X is A.open but not closed B.closed but not open C.both open…

A: In the indiscrete topology  open sets are empty set and set x itself. Hence the closed set are empty…

Q: The following statement is false. r. Sigmund Freud's father was not 20 years older than his mother.…

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Q: Write the following into symbols. D: all creatures P(x) = x is a bird Q(x) = x is beautiful Some…

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Q: Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. (b)…

A: From the given system of equation we have to draw the graph of the constraints, solve the LP…

Q: A loan for P50,000 is to be paid in 3 years at the amount of P65,000. What is the nominal rate…

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Q: 11. The complement of {0} in the Sierpinski space is A.open but not closed B.closed but not open…

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Q: Prove that there is no simple group of order 396 = 22 .32 .11.

A: We have to prove that there is no simple group of order 396=22⋅32⋅11. We will prove this by the…

Q: A custom guitar shop sells two types of quitars: electric and acoustic. The creation process of each…

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Q: For the Differential = y² = 7y + 12 dy dx a. Find all equilibrium solutions and use the first…

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Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 not diagonalizable 60 0 -1 1 1 0-9 0 = 0 1…

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Q: Suppose that the local sales tax rate is 7% and you purchase a car for $28,900. a. How much tax is…

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Q: 12. f(t) = 0, t, 0, t > 2. 0≤t<1, 1< t < 2,

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Q: Let u= = (2, 4, 2), v = (0, -1,2), and w = (-5,2,1). (a) Plot u, v, and won the same set of axes.…

A: If a→=a1, a2, a3 and b→=b1, b2, b3, then a→·b→=a1b1+a2b2+a3b3. It can also be written that:…

Q: ) Xo = 17, profit(17) = 21, mprofit(17) = 13, and x₁ = 7. a. Give the formula for the discrete…

A: The given values are x0=17, profit(17)=21, mprofit(17)=13, and x1=7. (a) We have to give the formula…

Q: I need help with part b and c, please show me all the steps.

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