Factor the expression. Use the fundamental identities to simplify, if necessary. (Th 4 sec³(x) - 4 sec²(x) - 4 sec(x) + 4

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A: Given the point (-3,6) is a point on the graph of y = g(x) It means  6 = g(-3).

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: In this question we have to find the Laplace transform of given function.

Q: 2. DETAILS ZILLDIFFEQMODAP11 7.R.002. Use the definition of the Laplace transform to find L{f(t)).…

A: To find the Laplace Transform

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Q: II) Solve the following equations. 2) 2 csc(2x) - 5+2 sin(2x) = 0 if z € (- € (-77)

A: The given equation is:      2csc(2x)-5+2sin(2x)=0⇒ 2sin(2x)-5+2sin(2x)=0 Let sin(2x)=t then:…

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A: The given function is f(t)=0.03e-0.03t The probability that a rat will learn its way through a maze…

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Q: 1. Evaluate S¹₂ -5x³ + 4x + 1dx .

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Q: Find the work done by F = xyi+yj - yzk over the curve r(t) = ti + t²j + tk, 0≤t≤1

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → 00. lim n→∞ n i = 1…

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Q: The temperature at time t hours is T(t) = -0.3t² + 4t + 50 (for 0 ≤ t ≤ 12). Find the average…

A: Topic-Average Value of a function over an interval

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Q: 13. The fxs xsin 3xdx is equal to

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Q: 10 (3-t)√t dt

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Q: II) Solve the following equations. 3) cot ¹(1-2)-tan-¹(x)= TT

A: Given data÷   cot-11-x-tan-1x=π4   Useful formula   cot-1x=π2-tan-1x So, cot-11-x=π2-tan-11-x

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Q: Integrate [ tan² 0 1 5 tan² (x) sec¹(x) dx. tan³(x) — tan(x) + C 3 O 1 5 1 -tan³(x) + = - tan³(x) +…

A: We have to choose correct option

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Q: box the final answer

A: This question is related to error in area of triangle, we will solve it using given information.

Q: 8. Estimate the value of x³dx by using the Trapezoidal Rule with n = 4. 8 19 22 36

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Q: cm min A spherical snowball is melting at a rate of 5.9- snowball's volume is 972 7 cm³? The radius…

A: Take the volume of sphere and derivate it with respect to t and then put values

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Q: Fill in the blank. (Enter your answer in terms of t.) ਤੇ s 2 S | 14s + 53 -

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Q: The price of a certain ice cream cone is increasing at the rate of 18e0.05t cents per year, where t…

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

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e-1 X…

A: Given a)(ex-1)/x b)(cos2x)

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Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

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Q: (a) Write a function of the form P (1)=Poe to model each population P(1) (in millions) f years after…

A: Consider the table

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Q: Find the average value of the function on the given interval. ) = ¹ on [1, 5] X f(x) =

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Q: -18 and line B is with equation A. Two lines are parallel. Line A is with equation 6y= 2x 3y-6-x.…

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Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

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Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

Q: f(t) = - (8, 10, 0 < t < 4 t24

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Q: A rectangle is bounded by the x-axis and the semicircle in the positive y-region (see figure). Find…

A: Use maximizing concept

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Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

A: Please see the below picture for detailed solution.

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Q: Refer to the model Q (t) = Qe -0.000121 used for radiocarbon dating. At an archeological site,…

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Q: Find the divergence of the vector field. F(x, y, z)= 6x¹0i-10xy ¹0j O divF(x, y, z) = 60x⁹-100xy⁹ O…

A: To find the divergence of the given vector field.

Q: Evaluate the limit or explain why it does not exist t t- 2-0 √4+t-√4-t x³+1 lim X-1 X+1 Ix-21 lim…

A: Given that some limit problem and we solve this given problem by using general property of limit.…

Q: Find f'(x) and f'(c). Function f'(x) = f'(c) = f(x) X-7 Value of c c = 1

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Q: Find the area bounded by y = Round to four decimal places. 2 100 - 4x² x = 0, y = 0, x = 2.

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