How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: 3. Let h = f(t) be your height (in meters) above the ground while riding a Ferris wheel. The Ferris…

A: Given that the wheel complete one revolution in 8 minutes.

Q: Calculate the derivative. f(x) = 6-9x¹/3 +9e* (Use symbolic notation and fractions where needed.) (6…

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Q: e falling parach

A: answer is in next step

Q: N) dy x dx X (1+y) y (1-x)

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Q: fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y) = (0,0)

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Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​…

A: Solution is here

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for…

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Q: In the model for exponential growth or decay, the amount, or size, at t = 0 is represented by C・・・…

A: The exponential growth or decay functions are given by;A= A0 ektk<0, decay modelk>0, growth…

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: Use the information given below to find sin (a-³). 12 tan a = with a in quadrant III I 5 3 cos B =…

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Q: Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

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Q: Solve for 0 <0 < 2π Separate your answers with commas. 0= sin 40+ sin 50 = 0.

A: Here, the given equation is: sin 4θ+sin 5θ=0...(1)

Q: Decide whether the statement is true or false. - 5 is a solution of log 325 = 2log 3x.

A: Formula

Q: af du (a) f(x, y) = sin-¹ (b) f(x, y): = x+y (c) f(x, y) = In ( t = 1 and u = 2 af and where Ət 2.…

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Q: 1. (a) lim x Find the limit. Use l'Hospital's Rule where appropriate. 3 x + 8 2 x + 2

A: topic - limits a3+b3=(a+b)(a2+b2-ab)

Q: Modeling Harmonic motion. A large mass attached to a spring moves in simple harmonic motion. The…

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Q: tri(t): [r₁(t) r₂(t)] = r₁(t) x + x r₂(t). dt dt ri(t) = cos(t)i + sin(t)j + 6tk, r₂(t) = 5i + tk d.…

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Q: d Calculate [ri(t) r2(t)] and Calculate[ri(t) r₂(t)] and [ri(t) × r₂(t)] first by differentiating…

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Q: Find the rate of change of the ice circle's area towards the start of spring if the initial radius…

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Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: 3t AT(1) The temperature T of a person during an illness is given by T(t) = +98.6, where T is the…

A: T(t)=3tt2+3+98.6A)T'(t)=(t2+3)ddt(3t)-3t…

Q: Find the curvature and the radius of curvature at the stated point. π r(t) 10 cos(t)i + 10 sin(t)j +…

A: We are aske dto find the curvature and radius of the curve.

Q: 2. Evaluate -π/4 Is -π/4 sinx cosx dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: The shaded region between the graphs of y = 2x² + 20 and y = 3x - 15 is displayed below in orange.…

A: Area bounded by the curves : If f(x) and g(x) be two continuous function and f(x)≥ g(x) on a,b ,…

Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: Find the the domain of the function f(z) = O {x|x / 10} O{x|x + T} O x x 10 and x-7} O x 1 x -10 and…

A: Find the domain of the function

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector &lt; -1, 2…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Find the exact value of the trigonometric function of using the given format: 5T Let 8 = then is in…

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Q: Find all six solutions between 0 and 2 for the trigonometric equation: sin(30) = Use the multiple…

A: The given equation,      sin3θ=12

Q: Using integration by parts, Then k is? (a)-1.5136 [²x³ cos(x²) dx = k - [*²x sin(x²) dx (b)-1.1365…

A: Our Aim is to find the value of k by evaluating the integral using integrationby parts.∫02 x3 cos…

Q: Evaluate lim X→∞ ९+2 1 - x³ ( if necessary, using L'Hôpital's rule)

A: limx→∞ex21-x3Apply L-Hospital rulelimx→∞2xex2-3x2limx→∞2ex2-3x

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: (a) f(x) = 2x³ + 3x² - 12

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Given sin(a)= and a is in quadrant II and sin(3) = and B is in quadrant II. Use sum and difference…

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Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

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Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

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Q: d 9 a) (t² (t² dx x - − 2t + 1)dt -

A: Given query is to find the derivative.

Q: . Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv = dx, the integral can be written…

A: answer is in next step

Q: Exponential function Copy the table onto your paper, and fill in the y-values for y = 3*. X y 0 1…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: 3) f(x, y, z) = x² + y² -2=²+ = ln(x), (1,1,1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: Use the given series to find the Maclaurin series of the function f(x). f(x)=x²cos3x Use the series:…

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Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: This question can be solved using the concept of solution of trigonometric equations.

Q: Consider the given graph below: A PA 0 B с G 1/4 11/2 31/4 5/4 31/2 717/4 D Let y = a sin[k(x −b)] +…

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