The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

Q: QUESTION 2 Assume that we have the following function: f(r1,x2) = 2xf + x5 – 4x1x2 on S = R. Is it…

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Q: acceleration due to gravity.) x(t) = ft

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Q: If f'is continuous, f(3) = 0, and f '(3) = 6, evaluate f(3 + 5x) + f(3 + 6x) lim

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Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

Q: If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0 <t < 1, then fx dz +y dy + z dx C O…

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Q: Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 %3D y(t) = %3D

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: Use the first fundamental theorem of calculus to find F'(x) F(x) = cosr' dt

A: In this question we have to find F'(x).

Q: 1 3. S (х+1)(x2+4)2 dx

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Q: 2. Which of the following is not an ordered field? Q=(all rationals) R=(all reals) S=(all…

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Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 43,100 rides…

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Q: Find the smallest value of x for which the series (a + 48)" 2!n(n) n=2 is conditionally convergent.…

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Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

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Q: QUESTION 11 Let D (x) =x2- 12x+ 36. Find the consumer surplus at the equilibrium x=3. E $ 25 $ 12 $…

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Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: Let R be the quarter-circle region in Quadrant 1 bounded by the x-axis, the y-axis, and the circle…

A: See the answer below

Q: Let f be a function defined by f(x) = In(2x2 + 1) and let g be a function defined by g(x) = 2x4 –…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 8x,…

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Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: sequence. Always justify your answers In(1+ 2e") 1+ncos(2m) sinn+cosn а) а, 3D b) a, = \n+1-Jn с) а,…

A: Solving

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: Problem 1 Solve the following basic calculus problems: d (e* cosx dx а. b. Jy**dy d? c. Show: dx d…

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

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Q: A Moving to another question will save this response. tion 7 /2 Given f(x) = sin(x2) on [0, n/2],…

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Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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Q: #5) Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) a. -5…

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Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

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Q: about the x-Qxisp the

A: answer is in next step

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

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Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: VA? +3 +3dx

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Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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Q: dy 3. Find of the following equations: dx b. xy = 2x?y – 8x

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Q: x? In x dx

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Q: Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3…

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Q: O In 17 lo 6

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Q: 21. A subway train travels from one station to the next in 2 min. Its distance, in kilometres, from…

A: Given the query is to find the the time when velocity will be 0.5 km/min.

Q: Calculate the second and third derivatives of y(r) = ar6. (Use symbolic notation and fractions where…

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Q: Two polynomials P and D are given. Use  synthetic division to divide P(x) by D(x), and express P in…

A: The objective of the question is dividing the given polynomials.

Q: 描 罪 樂 排 Evaluate the indefinite integral. (Use C for the constant of integration.) (3t + 4)2.2 dt

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Q: Determine the area of the largest rectangle that can be fitted between the x-axis and the curve…

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Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

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Q: Question 1 Find the Maclaurin polynomial p3 (x) for f(x) 7x +3 Provide your answer below: P;(x) = D

A: To find the maclaurin polynomial of the given function.

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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