Consider the equation y' - 2y = te State the integrating factor u(t) and find the general solution y(t). Use c for the constant in your answer. u(t)= y(t)-

Q: 5. Let f(x) is even and g(x) is an odd function which satisfies x²f(x) - 2f f(1) + f(2) + f(3) +…

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Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

Q: (b) 0.52, 0.34, 18.07 (c) 0.77, 1.08, 16.64 (d) 0.52, 0.34, 20.14

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Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: The curve C has the equation y = x³ 3x² - 24x. Find the turning point of the curve. (a) (b)…

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Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: 5. Using the least squares approximation, the best fit an exponential curve y = = ea(x-b) to the…

A: answer is in next step

Q: 1 Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3…

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Q: Let C be the curve of intersection of the parabolic cylinder x² = 2y, and the surface 3z = xy. Find…

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Q: = 1. Verify that y(x) = - +12e¹** is a solution of the ordinary differential equation y' = 14y + 1.…

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Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

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Q: If g(x, y) = √√3xy - 7x, find gx and gy. 9x = gy =

A: partial derivatives

Q: y''+2y'+2y=r(t), where: r(t)={10sin2t if 0π ; y(0)=1 ; y'(0)=-5

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Q: On your phone you have 23 rap songs and 14 country songs. How many 6 song playlists (order atters)…

A: Recall:  Crn=n!r!(n-r)!

Q: dy at f= is (not that these functions in N) dx a) -1 b) 0 c) d) I e) others Q5: If y=tant and x =…

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Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: ч 4х+5 чу+3 ІІ хр бр -

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Q: 2.5s (s 0.1) (s+ 0.4),

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Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

A: In this question we have to solve the differential equation.

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =6

A: We have to solve the given differential equation.

Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: Find the general solution of the differential equation: logS=x+y

A: Given problem:- Find the general solution of the differential equation: log S = x+y

Q: Find the average rate of change of the function over the given intervals. 3 f(x)=2x³ +2; a) [3,5],…

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Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(") = 0ifn= d)5 e) others

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Q: Written Respons 1) A school's debate team consists of 9 students and must consist of at most 3 boys.…

A: team consist 9 student  maximum 3 boys it means 0 , 1,2,3 consider  total boy 12 total girl 9 so…

Q: Problem 3: ( >>> A bacteria culture starts with 500 bacteria and doubles in size every half hour. •…

A: Topic:- function  Note :- as per our guideline if more than three subparts posted than only first…

Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =…

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Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: provide a step by step solution to the following DE (2x+3)y' = y + (2x+3)1/2 when x=-1 and y=0

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Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: Q4: Let y=√ and 1= x² then y) = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: 3) The Venn diagram below represents the modules students are taking. . S is the event students…

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Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…

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Q: 48. If L = lim (cosec x)/(x, then the value of nL is - X->0* (A)1 (BY-1 (C) 0 (D) none of these

A: To evaluate: L=limx→0+ (cosec⁡x)1/ln⁡x Taking ln both sides, we will get ln L=lnlimx→0+…

Q: 2. Evaluate x sin xdr using integration by parts.

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Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: =

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