y = xe2x

Q: sin (x) + cos³(x) = 1 - sin(x) cos(x) sin(x) + cos(x) sin (x) + cos°(x) - (sin(x) + cos(x)) ( sin²(x...

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Q: Find the area between the curve y = 3x2 +2 and the line y = 2 * x-3 from x = 0 to x = 3. Answer in e...

A: To find the area between the curves y=3x2+2, t=2x-3 from x=0 to x=3.  Here, the area is given by: A=...

Q: 2 tx 1

A: using by parts you can obtain the result:

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A: Okkk....       

Q: Use the fundamental identities to simplify the expressic 9 sec2 x(1 - sin2, n²x)

A: Use trigonometric fundamental identity to solve

Q: differential equations. (For Homogeneous Differential Equation, use the substitution y = vx) 1. (y² ...

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Q: It is the graph of f' (x). y= f'(x) 3+ 1 3 5 -1 -3+

A: Here is the solution of the given problem.  

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A: f(t)=t3-1-2t-t5

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A: According to the guidelines we should able to do only first question at a time

Q: The degree of homogeneity of the function f(x, y) = (x² – 4y²)¯/2 A B 1 (c) -1 1 E none of the choic...

A: Given: f(x,y) = ( x2 - 4y2 )-1/2

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. tan(e) cos(e) - s...

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Q: Find the solution of the differential equation (1+x² )y'+2.xy – 4x²y' = 0 (Bernoulli)

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Q: Given R(t) = (1– 4 cos t)î + 3 cosĵ + 5 sin t k, find the a. arc length of the portion of R(t) from ...

A: Given the vector :

Q: Given the initial value problem 0, y(0) = 20, y(0) = b, 64 Find the solution as a function of b, and...

A: We need to find y and b.

Q: n Ση EIn n+1 1 Determine whether the infinite series is convergent or divergent. If it is convergent...

A: Solution: first, we check given infinite series is convergent or divergent ∑1∞ln(nn+1)

Q: (a) Calculate the following integral: f(x) dx (b) Calculate the following integral: r20 f(x) dx 10

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Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

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Q: A demand function is modeled by a X = where a is a constant and m > 1. Show that n = -m. In other wo...

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Q: Five proposals (V.W. X, Y, and Z) are availtable for investment. At least two and no more than four ...

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Q: Write the sum as a product. sin(x) - sin(2x) Need Help? Read It

A: We have to represent the sum as a product of the given trigonometric function Sin x - Sin 2x  

Q: Essay, elaborate the procedure in solving a homogenous differential equation.

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Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

A: Find the exact value

Q: cos (622) – 1 . Evaluate the 10th derivative of f at a = 0. Let f(x) = x2 f(10) (0) = Hint: Build a ...

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Q: r – 8y = 6 2x – 16y = 12 - Classify Give the number of solutions. O This system is inconsistent. It ...

A: For the above system condition for infinitely many solutions is:

Q: Use the function f(x) = 9x10 – 10x° to answer the following questions. (a) Find the interval(s) on w...

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Q: ху dx + 9ху dy — бу?dx — 2x?dy %3D0 -

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Q: sin ax if x<- If f(x) = · find the value of a so that lim f (x) x-2 exists. cos ax if x 2 O 4 O 1/4 ...

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Q: Question 5 Determine the domain of the function Screen Shot 2021-10-05 at 10.58.46 AM.png f(x)% = Vx...

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Q: R = 840x + 207x² – x³ X = units

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Q: Verify the identity. csc(x) - cot(x) . sec(x) – 1 cot(x) sin(x) cos(x) sin(x) csc(x) – cot(x) sec(x)...

A: To verify the identity cscx-cotxsecx-1=cotx

Q: Consider f(x) = xsin(x), find f(r/2). A 0.03 1.5 C) 1 0.

A: Recall: Product Rule of differentiation : d(u.v)dx = u.dvdx +dudx.v d(xn)dx=nxn-1 dsinxdx=cosx

Q: n the interval (0, 2ñ). s(x) + 8 en interval(s) on which the function is increasing or decreasing. (...

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Q: analyze and sketch a graph of the function. find any intercepts, relative extrema, points of inflect...

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Q: Set up equations and 1. Terry invested a total of $4500. A portion was invested at 4% and the rest w...

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Q: Find the domain for the given rational equation, then solve. x+4 2x-6 Domain: a 3 solution: x = 24 2...

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Q: 36. 10x? + 7y² = 1 toh

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Q: h(t) = t + 3 represents Jamal's distance from the sidewalk in feet in terms of t, the time since you...

A: Topic:- Algebra 

Q: Given the following differential equation: .2 dy dx = xy – y² 9 ,2 da Show that the particular solut...

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Q: Elimination of Arbitrary Constants. Obtain the differential equation by eliminating the arbitrary co...

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Q: Evaluate the expression under the given conditions. 3V10 sin(e - p); tan(0) = O in Quadrant III, sin...

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Q: 1 at 5 + x Find the local linear approximation of f(x) = 1, where Ax = x – 1. NOTE: Enter the exact ...

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Q: In each of the following, obtain the general solution. 1. (1-x)y' = y? 2. xy'dx + e*dy = 0

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Q: Problem 1. Determine if the following limits exist? If so, what are the limits? Give a 8-e proof for...

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Q: Question 1: Why is the derivative of e* the same as e*? "show your answer by proof or graph“

A: The solution are next step

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

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Q: 1. (1-х)у' %3D у?

A: