In the differential equation 4(3x+ y– 2)dx– (3x+ y)dy = 0, we let the substitution dw=

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A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

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Q: 2. Find the most general anti-derivative of each of the following functions: a) f(x) = sin(x) b)…

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A: x=ρ sinφ cosθy=ρ sinφ sinθz=ρ cosφ

Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: Find a power series representation for the function: a) f(æ) = x* arctan(2a²) x2 b) g(x) (1+x³)²

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Q: O x=-1/2, y = -2/3, z = -1/4 O No solution Question 4 False position method is always preferable…

A: First question is not completely visible. So I am doing the rest of the two questions here. In…

Q: 5. Find the indefinite integral. a) S 2*-+52 dr b) S Va(zi - a² +z)dx b) S Va(a – a² +r-)da c) S…

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

Q: Find the area between the curves y = = x² and y = %3D 3+ 2x2 Select one: V2 O a. O b. 2/2 V2 c. 6.…

A: The region is bounded by the curves,   y=x2 and y=23+2x2 Note:      Multiple questions are given, we…

Q: x³(1 – x²)² 2 4y = in (1+x²)²

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Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: 1. When finding the anti-derivative of a function, what is the rationale behind hav- ing a +C ?

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Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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Q: ustify your answer. 4 4 4 4 4 3 4 5 6. 7 3 + 7 4 5 6 8 9 10 11 + M| 00

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Q: Find (3a+6x*) da

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Q: 1. determine the derivative with respect to time t of the following: a) 4x + 8y = 12 b) xy = 15 c)…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: Determine whether f(t) is continuous, piecewise continuous, or neither on [0,10], and sketch the…

A: Here we have to determine whether f(t) is continuous, piecewise continuous or neither on [0,10].

Q: d sets of parametric equations and symmetric equations of the line that passes through the given…

A: vector: <8,1,3>, point=<0,0,0…

Q: solve the following differential equations using the substitution suggested by the equation.

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Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

Q: 1. S V2x – x² dx 2. S* dx 1+x? 1+x3 3. Sv1+ v1+x dx 4. Set up only the integral(s) that will compute…

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Q: A 25-y -year old woman burns 400 – 40t cal/hr while walking on her treadmill. Her caloric intake…

A: Integration

Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

Q: Find the equation of the plane through the point P = (5, 3, 3) and parallel to the plane 3y – 5x –…

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Q: Verify that the values of the variables listed are solutions of the system of equations. fx + y = -5…

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Q: on

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Q: In general, if f(x) is real and continuous in the interval from x to xy and f(x1) and f(xu). between…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Express the function below using window and step functions and compute its Laplace transfo 0, 0<t<4…

A: The given function is: g(t)=0, 0&lt;t&lt;45,4&lt;t&lt;53,5&lt;t&lt;82,8&lt;t

Q: Solve for x

A: For solution of f(x) = 0 Drawing the graph of y = f(x) The point where the graph passes x axis

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Q: Suppose f: I R is increasing, for some interval I. Show that lim f(x) < f(xo) < lim f(x).

A: This question can be solved using the definition of increasing function.

Q: Determine whether the series is convergent or divergent. If it is convergent, write its sum. Justify…

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Q: Solve the following dy 1. xy dx = 2y2 - x2 %3D | dy 2. x2 dx xy = (x² + y²) tan-() (x + y2) tan-1 dy…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

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Q: X tu 3. From questions #2-11, choose an "interesting" relation and i) Sketch the relation clearly…

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Q: Solve the Differential Equation using the substitution suggested by the equation

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Q: 6. DETAILS LARCALC11 12.R.020. 0/1 Submissions Used Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8…

A: A detailed solution is given below

Q: 2. x3 - y3 = c³, find y" %3D HOOAT d²x 3. x* = at?, find dt2 1983

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Q: Determine whether the given series converges or diverges. If it converges, find its sum. 8* +7 Σ *-1

A: Solve the following

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Question The statement below is of the form ren de = F6x) + C. Verify whether the following…

A: Note that: ∫-4x55-5cos(x)dx=-45∫x5dx-5∫cos(x) dx=-45x66-5sin(x)+C=-215x6-5sin(x)+C

Q: To find an antiderivative of a constant times a function, set aside the constant and find the…

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Q: solution

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 6t)i - 9t2j (a) r'(t) (b) r"(t) (c) r'(t) r"(t)

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Q: (x - 1,? (y - 4)2 OA. OB. 3D1 16 The center of the ellipse is (Type an ordered pair.) The vertices…

A: The graph is shown below:

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the correct location given that:…

A: Given  n(A∩B∩C)=3n(A∩C)-B=18-3=15n(A∩B)-C=14-3=11n(B∩C)-A=13-3=10only A = 36-15-11-3=7only B = 30…

Q: 7s+41 s +10s +34

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