5) f(x)= x² + 3x 2x² - 4x

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Q: Find the general solution of the Bernoulli equation: y'+xy=e* y³.

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Q: (a) (* 1 (²7) dr f(x) dx = 8. Calculate the following:

A: Calculate the value of .

Q: The graph of fis shown for the interval [-2, 6]. 45 40 35 30 25 20 15 10 5 0- 5 For which interval…

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Q: The region in the first quadrant bounded by y = 4x² , 2x + y = 6, and the y-axis is rotate about the…

A: Given that the region bounded by the curves and the y-axis.

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Q: 3-√I lim I-9 T-9

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Q: 3x + 2 S =dx x² + x 2

A:

Q: 4. On what interval(s) of x is f(x) decreasing?    5.On what interval(s) of x is f concave up?…

A: The function is decreasing when the value of f(x) decreases with the increase in the value of x.This…

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Q: = (x+ )². 12 2²2 +6x +. = (x+ 2² + 6x +9= (x+3) ².

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Q: Prove that n Sk k=1 = n(n + 1)(2n + 1) 6 for all n € N.

A: To prove:We will use mathematical induction to prove this.Let

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A: Given Function is as follows

Q: 6. Use the product rule and your prior knowledge of derivatives to find the derivative of y = e 5x…

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Q: (a) f(-2) = (b) f(0) = 0 -2 2 ano (c) f(1) =I JSC (d) (3) olg 040195

A: Given graph of function

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Q: Which of the following are true statements? Mark all that are true. lim_ƒ(x) = 0 implies…

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Q: e) lim x-0 sin 3x cot 5y x cot 4x

A: All the given limits have been marked except " e " . So we solve question "e" .

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Q: Q4) Solve two of the following: C) f tan³x dx

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Q: Determine the interval(s) on which the function is (strictly) decreasing. Write your answer as an…

A: To determine the interval(s) on which the function is (strictly) decreasing.

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Q: Find a + b, 8a + 4b, |a|, and |a – b]. a = 9i - 6j + 4k, b = 5i - 8k

A: a=9i−6j+4kb=5i+0j−8k

Q: Q2) Solve two of the following: 2 in 10 A) 21 dx

A: We need to find integral value.

Q: 2. Graph f(x) using DESMOS and state the domain and range of this function in interval notation: D:…

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Q: Initial Value Problems II Obtain a particular solution to the given differential equation satisfying…

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Q: во Q7. Find f'(x)when f(x) = √logx 1 O * 1 (logx)= xin(10) O O 1 1 (logx) * xin (10) (logx) 6* O…

A: Given Expression is as follows As we know that

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