3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

Q: Find the indefinite integral. Solution in handwritten a. S sin x -dx cos²x

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Q: Solve for dy/dx and simplify the result y = (5x + 2)6 (3x² +7)7

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

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Q: Find the differential dy of the function y = Provide your answer below: dy = dx 5x4 + 4 4x + 3

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Q: Find the laplace transform of f(t) = 6t³ + 4t² 3 F (s) = F (s) F (s) = F (s) = F (s) F(s) = -85³ +…

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Q: 5-39+370=?

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Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

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A: In this question , we can find the limits of the function. Check when 'x' approaches to 'a' , the…

Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…

A: Here we have to decide whether the given integral is improper.

Q: 4. Find the antiderivative of 1-t4 = CS the t that satisfies the given condition R(1) = 4

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Q: 4. r(x) = 3x) (1 - x)(-/-)

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Q: Assume P and Q are points on the graph of the function y = f(x). If the a-coordinates of P and are a…

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Q: Determine whether the improper integral diverges or converges. [² e- cos(2x) dx converges diverges…

A: Solving

Q: g(t) How many people contracted the lu 7. Suppose that f(t) is the rate at which snow is falling at…

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Q: Question 6.5: In Example 6.4 we did an ideal thermodynamic analysis of the General Electric T700…

A: answer is in next step

Q: At the end of each month, for 24 months, $200 is put into an account paying 9% annual interest…

A: Solution of given question is written in below steps.

Q: Consider the function of that is continuous on the interval [-5, 5] and for which ſo f(x) dx = 4.…

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Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: M8 M8 Με 4. Σ 15. Σ 6. Σ n=1 (n + 3)" 47² nt 1 – 5η4 (n + 3)" 4" η

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Q: e 3 ₁ x³ lnx dx

A: Integration by parts formula:∫u.v=u∫v-∫u'∫v

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Q: - x³ + x² + 2x + 1 (x² + 1)(x² +2) da

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ff(x) dx = 4.…

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Q: Find the future value of a $20, 000 annual income stream if it is invested immediately as it is…

A: Hee, use the formula: FV=erM∫0MS(t) e-rt dt

Q: For items 1-5 A 10-ft ladder is leaning against a house on flat ground. The house is to the left of…

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Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

A: givenf(a)=3f(b)=1f(c)=2f(d)=4f(e)=2

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Q: xz •Evaluate So So So ²³x² sinydydzdx X

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Q: Find the area bounded by r = 6cos (30).

A: Given: r=6cos3θ

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Q: A. Indefinite Integrals + C. Evaluate the following integrals. dx x + x3 1 Ans. In x² 1 + x²

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Q: 3. Evaluate the double integral: ²₂2(x+3) dy dx 4. Evaluate the triple integral: ₂ dx dy dz Z

A: Topic:- multiple integration

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Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 5. Evaluate the integral, if it exists. a. L₂(x¹ - 3x¹/3 + 1) dx b. √₁³ (2ex - ²) dx

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Q: 10. Consider the region bounded by the graphs of y = tan-¹x, y = 0, and x = 1. Find the area of the…

A: Let's find.

Q: [2 xe3 dư =

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Q: dy √e²y-1 S

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Q: Comput: f dx 2+x

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