Use an identity to write the expression as a single trigonometric function or as a single number. 2 tan 15° 1-tan² 15° of who NK A of 4.01

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

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Q: a) Let f(x)=-3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

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Q: What formula would be used to calculate the right rectangle approximation of ²(2x + 2)dx using five…

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: gle. Round to the nearest tenth when necessary or to the neares minute as appropriate. مت A 22m 26°…

A: The triangle has the measures A=26°, B=51° and AB=22m

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: The given inverse laplace transform is L-16s-1s22We have to find the appropriate algebra .

Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

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Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: || + 3 вн f(t) dr = 3 f(t) +

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Q: 9. The marginal cost of producing a tablet computers is C'(x)=1200.06x +0.000012² (a) What is the…

A: Concept: We have given the marginal cost in form of the first derivative Integrating it we will get…

Q: Each time your heart beats, your blood pressure increases, then decreases as th heart rests between…

A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Recall: log ab=b log a log(ab)=log a+log b

Q: S: z = √x² + y², (x-1)² + y² ≤ 1

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: An object is moving with v(t) = 4¹ and the position X(1) = 4. What is the position of the object at…

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Q: O a) 10 b) 29 Oc) 17 d) 13 Oe) 1

A: Topic:- calculus

Q: Calculus

A: Topic:- sequence and series

Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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Q: Q16 3⁰ 3t+2 a) 1 b) J dt dr cos² r√5 + tanz dt (3-5t)²

A: see below the answer and calculation

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

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

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Q: h(x, y) = x³ − 3x + 3xy²

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Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: D In10 In[log(x+1)] + C

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

Q: Consider the function f(x) = ($) ². a. Find the inverse of f(x). b. Explain why the inverse is not a…

A: Solution is given below:

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

Q: List the first five terms of the sequence. a₁ = 2₁ ªn+1 = 2an + 3

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Q: Use linear approximation to approximate cubrt(28)

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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

Q: How is the series 5 + 8 + 11 + ... +77 represented in summation notation? 25 ΟΣ(3q + 5) q=0 17 ΟΣ(4q…

A: Given Series is  5+8+11+........+77

Q: The graph shown below is f (x) = √√9 - x². If g(x) = f* f(t) dt, what is g′ (√5)? g' 00 02 O 2.5 5+…

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Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = f (2x + 5) sin (x² + 5x) dx o F(u) =…

A: We can find the correct option as below.

Q: Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 62°21'7" 62.36°…

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Q: A 390-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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Q: Find the derivative of the function. q=5√x³+3x q' =

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Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

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Q: St Can the Fundamental Theorem of Calculus be used to find ○ No, f(x) = √²+ x²-9 ○ No, f(x) = √² dx…

A: Given fx=∫04x2-9x+3dx

Q: After using Long Division then decomposition into partial fractions (without evaluating the…

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Q: Graph the function by setting the moving points correctly. Provide your answer below: -10 -5 (-3,0)…

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Q: Step 3 At x = 4 + Δx, the value of the function is g(4 + Δx) = 20 – Hence, Step 4 m = lim Δx=0…

A: Here we have to find the limit in step 4.

Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

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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