Evaluate the following indefinite integral. S₁4 14x dx 14x dx = 14x

Q: 12. The trigonometric identities applicable to evaluate [sin'0 cos³ e de 1. cos² 0 = (1+ cos20) I.…

A: Yhave have asked multiple questions and not mentioned which question answer you need so according to…

Q: 18. Solve (x+1)dx x²(x-1) A. 2lnx+In(x-1)+c B. 2ln(x-1)-Inx-x-¹+c C. x-¹-2lnx+2ln(x-1)+c D.…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Given,  a=4i-j+8k, b=16j+8k

Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

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

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Find dy dy dt at x = z - 1 if y = -5x² + 3 and dx dt 5.

A: topic:- derivatives

Q: In the following figure, estimate the slopes of all line segments. (If an answer is undefined, enter…

A: Let's find slope of all figure.

Q: Use the limit process to find the area of the region between the graph of the function and the…

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Q: 2. Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x+z = 4.…

A: Solution is given below:

Q: ** 2z2e²dy dx dz 0

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Q: Use logarithmic differentation to find the derivative of the function. y=square root (x-3/x6+5)…

A: We can find the derivative of the given function by using the logarithmic differentiation. log (xa)…

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Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: O S₁ (√x - x) dx

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Q: An airplane flying at an altitude of 5 kilometers passes directly over a radar antenna. When the…

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Q: Consider the following function and closed interval. f(x)=x²/3-3, [-8, 8] Is f continuous on the…

A: We need to solve differentiation question.

Q: 8). Determine whether the series ∞ e3/n n2   n=1 converges or diverges. The series converges.The…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: The auxiliary equation is: m2+3m+2=0m2+m+2m+2=0m(m+1)+2(m+1)=0(m+2)(m+1)=0m=-2 or m=-1 smaller value…

Q: A store's sales on day x are given by the function S(x) below. Find the average sales during the…

A: We have to find the average value

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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

A: Inverse laplace

Q: Question 4 Find the derivatives of the following: f(x)= (4x+7)(x-3) (x-2)

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Q: The equation of the line with point (3, -6,8) and parallel to the vector (-1,2,3).

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: lim etti + t → 0 sin(2t); i+e-2tk) 2t

A: We have to find the value of  given limit.

Q: Provide your answer below: f'(8) = |

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Q: Sketch the graph of the quadratic function. f(x) = 5x² + 4 S . No Solution → Help vertex -10 -9…

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Q: 17. f(x) x²(2x+3) (x² +1)*

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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: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: H.w3: Used Newton-Raphson method to find solution accurate to with in 105 for the following…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that : y= 6x4 + 8x3 . We find intercept and maxima and minima and point of inflection and find…

Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f'(c) = 0 at some…

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Q: Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The…

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Q: An architect has designed two tunnels. Tunnel A is modeled by x² + y² + 30x + 56 = 0, and tunnel B…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

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Q: Find the area contained between the two curves y = 3x - 2² and y=x+x².

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Q: Use the second derivative to determine the intervals over which the graph of the given function is…

A: The given function is fx=x13

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e-1 8…

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Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)} =…

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Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: There is no solution, {}. O The exact solution set is x2

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: 4 1-2 sin 0 equation of the conic (b) Given r=- Find the distances from the pole to the vertices and…

A: Given: r=41-2 sinθ

Q: Question Given f(x) = 2, find f'(-3) using the definition of a derivative. Provide your answer…

A: The given function is; f(x)=1/(x+2).

Q: Question 5 Solve the following for f(x)=x² - 2x + 1 at point (-2,-1) (i) ii) Find the slope of the…

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Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration