2. Stan³ 2x.dx

Q: Σ016 – 1)"(ne=")

A: Here, we need to determine the convergence or divergence of the series S = Σ ((-1)^n) * (n *…

Q: k-1 2k-1

A:

Q: 5. Show all steps to convert the equation from Cartesian form to polar form. y=-2x+3

A: given y=-2x+3

Q: Question #8 f(x)=x² ln(2x³) Find f'(x) for the function below....

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Q: Obtenga la siguiente derivada mo dx d T dx Para la barra de herramientas, pre B TUS Párra

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Q: 5 4 2п 21(2522 - 1-). X 312.5п

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Q: ALL WORK Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd…

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Q: ow all work and explain your reasoning to answer the questions based on the ellipse defined by the…

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Q: Example 2:- if f(x) = 0.2 + 25x-200x² +675x³-900x¹ + 400x³ 0.8 Find f f(x)dx using composed…

A: fx=0.2+25x-200x2+675x3-900x4+400x5 Trapezoidal rule ⇒∫abfxdx≈∆x2fx0+2fx1+2fx3+.....+fxnHere ∆x=b-an

Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (18, 2, 1) scalar projection…

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Q: Consider the function f(x) = x 2 − 1. Find the equation of the tangent to the graph of f(x) at x =…

A: Given: fx = x2-1 To find: Equation of tangent to the graph of f(x) at x=3

Q: Let y = tan(4x + 3). Find the differential dy when x = 2 and dx = 0.2 Find the differential dy when…

A: given y=tan(4x+3) we know d dx(tanx)=sec2x

Q: Answer the following for the function f(x)=3x² +5

A: The given functionfx=3x2+5. To find the average rate of change from x=1 to x=4.

Q: y Find the volume of the solid that lies under the surface z= y² + x² +1 and above the region D in…

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Q: The Laplace transform of f(t) = el-t is equal to L{f(t)} = Select one: O True O False = e 8- 1

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Q: In a class of 27 learners, what is the probability that at least two learners share the same…

A: Explanation::-

Q: Evaluate the definite integral. 2 [²8. 8x dx

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Q: Evaluate f 1 (4- x)²/5 de correct to 3 decimal places.

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Q: Suppose the straight lines L₁ and L₂ have respective vector equations 4 5 9 -5 (99)-0) -3 +t = -…

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Q: Question # 9- At which points is the graph concave up? a) x = 2 b) x = 4 d) x = 1 and x = 2 e) x = 3…

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Q: -0.21z Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e…

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Q: Find the area of the shaded region. -1.0 -0.5 y co 8 6 y=3e* 4 2 0.5 (1, 3e) y=3xe¹² 1.0 1.5 2.0 X

A: The given equation of curves are y=3ex and y=3xex2

Q: Consider the following function where a is a positive constant. f(x) = x + a√√x (a) Select the…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find parametric equations for the line. (Use the parameter t.) the line of intersection of the…

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Q: Suppose that f(x, y) = x² - xy + y²x+y with D= {(x, y) |0 ≤ y ≤x≤1}. 1. The critical point of f(x,…

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Q: use the vectors u= and v= to find the indicated quantity 3u * v= State whether the result is a…

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Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

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Q: To enter , type "pi". Suppose the volume of the solid obtained by rotating the region bounded by…

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Q: Q1. Use the following graph to find: a) Range: b) Axis of summitry

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Q: Find the arc length of y=- + x² 1 4 8x² on the interval [1,2]

A: Given that a function y= x4/4 + 1/8x2. We find arc length of this function in interval [1,2]

Q: Given f(x)dx = 12 and g(x)dx = -2, find the following: S₂13³f(x) + 2g(x)]dx + f(x) dx O a.) 40 O b.)…

A: ∫-25fxdx = 12∫-25gxdx = -2

Q: to find the power series for the following functions (centered at 0). Give the interval of…

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Q: 5. For the equation a) the vertex. b) the focus. c) the directrix. − 6x−y+10=0| show all steps to…

A: Firstly convert the given equations in parabola form and then find the terms .

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship…

A: ship A is 50 nautical miles west of ship B ship A is salling west at 23 knots =23 nautical mile/hr…

Q: lim (-8x³+5x-8) X-3 lim (-8x³+5x-8) X-3 Para la barra de herramientas,

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Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

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Q: 14. Practice similar Help me with this

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Q: O-a³-3a²+4a

A: Simplify the same coefficient

Q: Find the critical point of the function f(x, y) = − (16x + 4y² + ln(|x + y))). C = Use the Second…

A: To find the critical point of the function fx, y=-16x+4y2+lnx+y. By using the second derivative test…

Q: 纯 N = " k

A: Normal vector formula = (T'(t))/(|T'(t)|)

Q: (c) 303x + 204y = 6.

A: 303=1×204+99204=2×99+699=16×6+36=2×3Hence gcd(303,204)=3 3 divides 6 so integer solution exist.

Q: Given the equation below, determine two solutions such that 0° ≤0 < 360°. Show how you find your…

A: Sin(theta)= - sqrt(3)/2 Find the two solution lies in [0 degree, 360 degree].

Q: 1. The diameter of a circle has endpoints located at 2, 13) and (2,19 Show all steps to determine…

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Q: The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraint x+3y=19

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Q: a) f(x) = (5x² + 4) (2x²-3x) b) f(z

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Q: 41. f(x) = xV9 - x² and g(x) 0

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Q: Suppose that w = f(x, y, z), where x = x(u, v), y = y(u, v), and z = =z(u, v). Which of the…

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Q: A plane is travelling S 35° W at an airspeed (speed in still air) of 250 km/h. A wind of 95 km/h is…

A: Given that , Air speed = 250 km/h S35°W Wind speed = 95 km/h SE Determine the resultant ground…

Q: Evaluate each arithmetic series described. 15 3) Σ (5m – 12) m=1 A) 840 C) 420 B) 856 D) 1724

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Q: Use the shell method to find the volume of the solid generated when the region bounded by: y=(1+x²)…

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