dy x2 + y = xe*. dx Find the integrating factor to the first order linear equation, В. In x С. х D. 1 E. None

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Q: please can you also answer number 3.

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A: Please see the answer below.

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Q: Finding Area by the Fundamental Theorem Find the area of the region. See Example 2. y = 7eX/3 2 -2 2…

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Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

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Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

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Q: Evaluate the integral of sinº x dx from o to n/2. А. П/32 В. гп/17 С. зп/32 D. 5n/32

A: We know, 2sin2A=1−cos2A  2cos2A=1+cos2A2cosAcosB=cos(A+B)+cos(A−B)

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Q: 3. f(x)== 4. f(x) = + 1

A: 3) f(x)=1/(2x)  4) f(x)=(2x-4) /(3x) +1

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

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Q: 12" +2 2 (- 1)"-b,. where b = n=1 (n+2) 14"+3 a) Find and simplify bn+1 bn b) Test the given series…

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A: f(x,y)=x2+y2+6x-2y+6

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Q: answer

A: We will find the second derivative.

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Q: solution

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A: Given: Gx=3x2+2x-1.We need to find the value of Ga+2.

Q: 14. Find X(s), given x" + 16x = t, x(0) = 0, x'(0) = 0.

A: answer is in next step

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Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

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A: The distance between two points P and Q is given by: d(P1,P2)=(4-6)2+(5-2)2+(2-8)2

Q: Sè baucy) dy

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Q: 323. Evaluate: J tanV |1 – x |dx 1 + x

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

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Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

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Q: Which of the following integrals will yield In u+ C? A. SE B. S- x+1 D. S dx xdx C. S 2rdx = x+1 O…

A: From the following integrals will yield ln u+C Note:     Multiple questions are given, we are answer…

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

A: Question number 1 has been solved as per the prescribed format.