Find the particular solution of the linear first order ODE: (4+ sine*)y' = e* (6 sec² e*- y cos e*); y(Inn) ==

Q: The approximate heights of two of the world's tallest mountains are given. Determine which is the…

A: Remark: Since the required height is in meters unit, we need to convert all the units in meters. We…

Q: 6. Calculate the kernel of the following matrices as spans of some vectors. (a) (b) 20-1 3 -1 2 04…

A: The given matrices are  (a).           2 0-1   3-1 2   3-2   0 4   5-1  (b).           2-1   1-1-3…

Q: Mr. Reynolds brought P pensive water to cross country practice Mr. Reynolds drink, one pins and then…

A: He brought P pins water to cross country practice. He drinks 1 pins. So, after he drinks 1 pins, the…

Q: 2.22. Let f be a function from R to R. Without using words of negation, write the meaning of "f is…

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Q: 65. xyz + 1 = 0. 66. xy=y-z=z-x. 67.x=y=0. 68. y = z = 1.

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Q: For which p and q is ay an integrating factor for the equation y²dx + (xy - x³)dy = 0?

A: Given : y2dx+xy-x3dy=0 To Find :  xpyq

Q: The point (5, 43, 27) is on the line (t) = (5,3,7) + t(0, 4, 2). At what value of t does this point…

A: Explanation of the answer is as follows

Q: 2. Find every k (mod 60) such that the system of congruences x = 6 (mod 30) = k (mod 60) has more…

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Q: Problem IV Consider the set of all vectors (x, y, z) € R³ satisfying the following condi- tions.…

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Q: Which is more economical: purchasing the economy size of a detergent at 4 kilograms for $4.15 or…

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Q: Let m be an odd positive integer. Then we have

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Q: You are building a square backyard fence for a new customer. The customer says their backyard is a…

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Q: The sequence bn • The sequence Sn = bk of partial sums k=1 • lim n→∞ a) b) b₁ d) = b₂ = c) I b3 = 72…

A: As per Bartleby rules we have to answer only first three questions.

Q: Given f(x)=x²+1 and g(x)=3-4, find 9.(g-f)(x) b. (fg)(x) C-(fog)(x) d. (gof)(x)

A: As per Bartleby rules we have to answer only first three questions.

Q: Consider the following system of equations. {22² + x+y=1 = 0 2x² + 2y²-4y - 6 = 0. a. Transform the…

A: (a) Given system of equations are:- x+y-1=0   ..............(1) 2x2+2y2-4y-6=0   ................(2)…

Q: 3. The velocity of a particle is given by v = 251²-80t-200, where v is in feet per second and t is…

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Q: A first order linear equation in the form y + p(x)y = f(x) can be solved by finding an integrating…

A: It is known that:  ∫exdx=ex+C∫xndx=xn+1n+1+C

Q: Find the period of (i) f(x) = sin x + {x/3}, where {.} represents the fractional part. (ii) f(x) =…

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Q: 3) Prove |ds(x) — dg(y)| ≤ ||x − y || for all x, y € R". —

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Q: Problem 1. Suppose you are a two-dimensional being, living on a sphere of radius R. 1. Show that if…

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Q: 2.11. (!) Suppose I have a penny, a dime, and a dollar, and I say, "If you make a true statement, I…

A: Hint: Establish a relation between penny, dime and dollar to obtain the required answer.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: 2.4. Let A and B be sets of real numbers, let f be a function from R to R, and let P be the set of…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: The region between the curve y = 1/x² and the x-axis from x = ½ to x = 2 is revolved about the…

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Q: 5. Find the exact area of each described region. The finite region between the curves x = y(y-2) and…

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Q: xercise 2. Show that a set with the discrete topology is compact if and only if it is finite. if and…

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Q: Click to check the table of English and Metric Equivalents for Capacity. ECCO a. How many…

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Q: A. Suppose that the economy is characterized by the following behavioral equations: C = 160+ 0.6 Yd…

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Q: 4) A sausage company makes two brands of sausages: Link and Patty. Link brand uses 1 pound of pork…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: let p be am odd prime, legen. dre symbol completely multiplicate function of an

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Q: Which of the following vectors is/are parallel to the line given by 3x - 4y = 10? Select all that…

A: Two vectors are parallel if the cross product of them is zero.  The vector given by the line is…

Q: Which of the following vectors is/are parallel to the line given by 3x - 4y = 10? Select all that…

A: Explanation of the answer is as follows

Q: Consider the ellipsoid x² + 2y² + 4z² = 22. Find all the points where the tangent plane to this…

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Q: Difference Approximations of the Partial Derivatives

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Q: Prove each of the following statements c) Prove that if a is an integer, then a² + a is even. [Hint:…

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Q: Consider the mapping T : R² → R² such that T((x1, x2)) = (x1, —x₂). a. Show that T is a linear…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Solve the Neumann problem for the wave equation on the half-line 0 < x < ∞.

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Q: a. 5ax at P(4, 120°, 2) b. 5a, at Q(3,4,-1) c. 4ax - 2ay - 4az at A(2,3 ess the unit vector ax in…

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Q: (a) Solve: 2611 = 605 (mod 2021)

A: We have to find the value of X from the given information. According to guidelines we can solve only…

Q: 14. Prove that 32n +7 is divisible by 8. 15. Prove that 7"-2" is divisible by 5. 16. Prove that n³ -…

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

A: Given system is x't = A xt +ft. Here,  A= 0-10-100001,   ft = 3 e3tsin2tt. Take x = x1x2x3.

Q: Let S = {(2,0) = R² : 2 = R}. If lim f(x, y) = 0 then (2.9)-(0,0) f(x, y) = 0. lim (z.g)-(0,0)(8…

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Q: 10x + 3y -7z = 3 -7x - y -z = 12 -2x + 4y +10z = 6

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Q: angle has its vertices on a rectangular hyperbola Prove that the orthocentre of the triangle also…

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Q: Make a graph of volume of water vs volume of box (make sure to label each axis and title the graph)…

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Q: Simplify and express your answer in scientific notation ( 3.8 X 10 – 9 ) ( 16.5 X 10 – 5 ) Answer:…

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Q: A department store has a sale on snow blowers advertising 15% off all items in stock. You receive a…

A: The answer is NO. Because the second discount will be on the discounted price after first discount.

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

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Q: A car traveling along a straight road is clocked at a number of points. The data from the…

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Q: vt − kvxx = f(x, t) v(0, t) = h(t) for 0 < x < ∞, v(x, 0) = (x), 0 < t <∞

A: Given inhomogeneous diffusion problem νt-kνxx=fx,t for 0&lt;x&lt;∞,   0&lt;t&lt;∞ v0,t=htvx,0=ϕx The…