Use the product rule to find the derivative of y=(5x² − 4)"^(2x* + 7)³³ NOT Simplify after differentiating. ► t² + 2t Use the quotient rule to find the derivative of g(t)=- Simplify after differentiating. ( 1–3t²) as it is written. Do as it is written. Do NOT

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A: We have to find the volume generated by the given function.

Q: Evaluate the following integral or show that it is divergent. 0 -√x VX dx

A: Explanation of the answer is as follows

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A: Ellipsoid : x2a2+y2b2+z2c2=1Volume of ellipse : 4πabc3a+b+c is fixed

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A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}:…

A:

Q: 2. Determining Taylor polynomials from given derivative values. Suppose g is a func- tion which has…

A: Let's find taylor series of function g.

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Given, f(t)=t2e-4t

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A: Let's solve.

Q: Evaluate the following integral: 4 Po√250 e(x² +1) dxdy

A: Given integral:- ∫02∫2y4ex2+1dxdy

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A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

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A: Evaluate the integral.

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A: Given, y = x-4(x-3)(x-1)

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A: I have stated the used formulas in the solution

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Q: Find F(s). F(s) = L{(1 et + 5e-3t)cos(6t)}

A:

Q: How is the series 2 + 6 + 10 + ... + 86 represented in summation notation? 21 Σ(4k + 2) k=0 21 Σ(4k…

A: The objective of the question is representation in summation notation.

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A:

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A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

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Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A:

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

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: Graph the function given below by moving the vertical asymptote, then the value of the -intercept.…

A: Let's draw the graph.

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A: Concept: The area under the curve: Knowing the curve's equation, its bounds, and its enclosing axis…

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A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

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A: We have to find zeros of polynomial

Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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Q: II) Given: • tan a = 2√6, a € [0, π] 3 •cos 3 = and sin 30 5 Find the numerical value of the…

A: given tanα=26,  α∈0,πsince tanα is positive and α∈0,π, so α lies in quadrant 1

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A: Here we have to find the equation of an ellipse.

Q: 67. A cookie has been made in a room with an ambient temperature of 100°F. If it was cooked in an…

A: This question is related to Newton's Law of cooling, we will solve it using given information.

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Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: 2 3 [²³x²³ ln(x¹) dr Sº x exp(-x) dx 1 X Jo 2x² +1 dx

A: Solve the integral

Q: 19 a) Edur 1+2r 1 b) (1 +25), | E dr

A: We will solve  the integration.

Q: ܐ [ xdx x2 -5x+6 A. 3nx-3-2nz-2 +c B. 3ng+3+ 2nx-2 +c C._2n+ 3-3m|x-2+c D. 2n|x-3-3n-2 +c

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e* sinh t L{f(t)}…

A:

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