Find a differential equation whose general solution is y = cjet + cze-". = 0

Q: Find the area of the region included between the parabolas y? = 4(p + 1)(x +p+ 1), and y? = 4(p² + 1...

A: Here we have to find the area of the region bounded by the two parabolas.

Q: Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

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Q: " cos Inx dx Evaluate the Integral A - sin Inx + C B sin Inx + C cos Inx + C sin Inx D - + C

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Q: -x' +10x? – 5x+15 dx Partial Fractions x’(x² +5)

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we ...

Q: Determine Whether the series is convergent or divergent. Write the exact tesst that you Use.

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Q: What is the area under one crest of the sine curve, from x = O to x = n? y=sin x dx 1/2

A: Given problem:-

Q: 1. In Figure 3, RK is the angle bisector of 2ORC. a. Name the postulate/theorem that justifies the c...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: When can we say that a function or a graph has extrema (both minimum and maximum value)

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Q: An air-freshener starts with 33 grams and evaporates over time. In each of the following cases, ente...

A: We need to write formula for Q in each case and find change in B

Q: Find Z, * Z, and Z,/ Z2 Write the answers in rectangular form (a + ib). Z, = v2(cos" +i sin), Z2 = v...

A: Need to find Z1·Z2 and Z1Z2 Given information: Z1=2cosπ4+isinπ4, Z2=3cosπ12+isinπ12

Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

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Q: If f(x) = 6 cot +4, then find the value of f'(-4) is

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Q: Question 15 Without any computation, find the values of sinx dr = Blank 1. Blank 1 Add your answer

A: As sin x is an odd function.

Q: what is the square root of 142 what is 124 devited by 123 what is 11x13 regroup 144+132

A: Let's find. 

Q: Sycos ydy

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Question 6 Let Fx) be an antiderivative of fux), with F(O) = 50 and J, f(x) dx = 12. what is F(5) = ...

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Q: Sz2 - 7z + 1, z<7 8-z, z 7 Evaluate the following limits for h(z) = and Justify your answer. (1) lim...

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Q: Question 24 Evaluate the integral. 23x dx A 23x + C B) There is no correct answer from the given cho...

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Q: 1 1 + e6x xp

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Q: What is the general solution to the differential equation (e*y² cos(y) + x)dy + (e*y² sin(y) – y)dx ...

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Q: 1. Find the directional derivative of f(x,y) = In(a2 + y²) at the point P(2,1) in the direction of t...

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Q: 1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: In order to give the complete solution of a nonhomogeneous linear differential equation, a particula...

A: Complete solution of a non homogeneous differential equation is given by as follow. 

Q: Rewrite the following integral using substitution: sẽ (1 + 3x)?dx

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Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).

A: Let's find. 

Q: dx x(x2 + 1)2 3.

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: Find the area of the shaded region. y 2 x = y -9 y= 1 /x= e -10 -8 -6 -4 -2 2 4 Hy = -1 -2

A: To find the area of the given region.

Q: 4. S x?dx It X

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: Let a = ci +j and b = 6i+ 8j. Find c so that the angle between a and b is Round your answers to four...

A: Here the given vectors are a=ci+j &amp; b=6i+8j

Q: dx (x+2)Vx+1

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Q: Determine whether the graph below is that of a function by using the vertical-line test. If it is, u...

A: Graph is given, we have to find it is function or not and also find its domain, range and intercepts

Q: 2. Find the maximum and minimum of the function f(x,y) 1 subject to the x² +2y² constraint x* + 2x²y...

A: Solution is given below:

Q: 2х + 7, х 7 From the following results, determine whether the function f(x): is continuous at x = 7...

A: I am attaching image so that you understand each and every step.

Q: 14 18 14) In Problems 12 through W, given f(x) and g(x ) are differentiable and continuous everywher...

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Q: 2. Solve the measure of the indicated angles using Figure 2. a. mzK = b. mzl = c. m2C = K (7x + 5) %...

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Q: 972+2z-5 Evaluate lim, A. undefined О В. 1 OC. ОС. — -1

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Q: c) Solve the given system of equations using inverse of matrix 3x + 8y = 5 4x + 11y = 7 d) Find the ...

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Q: If f(x) = 8 cot-1x + 5, then find the value of f'(-3) is, 8 10 -8 10 -5 10 -3 10 8.

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Q: Which of the following is the general solution to the differential equation y(x³ – y)dx – x(x³ + y)d...

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Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= c. OT= 2x + 2 3x 5х — 10 L ...

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Q: Use the following propositions to draw the corresponding Venn diagram. Remember to denote the univer...

A: The universal set is the set of all undergraduate students in the University.   The Venn diagram is ...

Q: Let v = (5,7). Which of the following is the direction of v? Arctan Arctan Arctan Arctan

A: Given v=(5, 7) We have to find direction of vector

Q: 2х dx dx 1. *) (x - 2)2(x + 2) 3. x(x2 + 1)2 2x? + 1 2. (x – 1)(x – 2)(x – 3) dx | |

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Q: 1) An equilateral triangular plate with 6m side is submerged vertically in a tank of water so that i...

A: Here, the top surface of the triangle plate is 2m  below the free surface of the water. Therefore, ...

Q: In (In y) dx + xy³ dx + x²y² dy+ In x dy = 0 y In y %3D 3.

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Q: Rewrite the following integral using substitution: 6"s in 3xdx

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