Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis. (Enter your answers as a comma-separated list.) Function Axis of Revolution x-axis y = 0≤x≤ 10 , 0 ≤ x ≤ 10

Q: (a) Determine whether the given integral is improper or not. You need to explain why it is either…

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Q: 1) Calculate: 10 110x dx using left Riemann sum with 4 equal subintervals

A: given information

Q: Find the exact value of cos 225. State restrictions on the following f(x): X x²-9

A: Use the formula:

Q: If c is a positive constant, find the area of the region enclosed by the parabolas:  y=x^2-c^2…

A: If c is a positive constant, then to find the area of the region enclosed by the parabolas:in terms…

Q: (Section 4.3) Your task is to estimate how far an object traveled during the time interval 0 ≤t≤ 8,…

A: The given table time (sec)012345678velocity (feet/sec)2610111417182123

Q: Find a formula for the polynomial p(x) that satisfies all of the following conditions: ● a degree of…

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Q: Evaluate the following. [³√9+xªdx 9 + x4 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(t)√1 sin(t)√1 +…

A: To evaluate the following indefinite integral.

Q: The function f(x) = x³ - 8x² + 4x + 58 is graphed below. Plot a line segment connecting the points…

A: The given function is

Q: Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

A: we have given function

Q: Find the Maclaurin series for the given function. 14e x What is the Maclaurin series of f(x) =…

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Q: Use Newton's method to obtain the third approximation, X2, of the positive fourth root of 5 by…

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Q: Two cars are headed for the intersection of the two roads. If Car A is travelling south at 43 km/h…

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Q: C. Evaluate d²y dx² at the point (1,2)

A: Consider the curve

Q: Test the series for convergence or divergence using the Alternating Series Test. 00 (−1)n + 1 Σ √n…

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Q: Find the first three nonzero terms of the Maclaurin series for the function. 2 (1²x) f(x) = - cosx-

A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: #1.) cotxdx √9-in sinx ત્ર

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Q: #2.) S sec secx tanx sinx (secx) dx

A: we need to find out the integration.

Q: LESSON 16: SOLUTIONS TO HOMOGENOUS LINEAR DE OF ORDER N. 1. Solve the DE b) y" -9y=0. when x = 0, y…

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Q: A window has the shape of a rectangle surmounted by a semi-circle. Find the dimensions that provide…

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Q: Given the acceleration a= initial velocity, and initial position of a body moving on a coordinate…

A: The given acceleration is.The aim is to find the .

Q: Consider the following expressions (a) (b) div(gradf) (c) grad(div f) div(curl(gradƒ)

A: we need to classify the given expression.

Q: lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

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Q: Use the half-angle formula cos² 0 = 16 V cos² cos2 Ꮎ ᏧᎾ 6 = 1/²/(1+ = 1/6/6/²2 ( ¹ + [ 1 8 ([ 1) + C…

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Q: For which positive integers k is the following series convergent? (Enter your answer as an…

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Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: What is the rule for the linear function described below? The linear function represented by a line…

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Q: Find the value of k that makes the antidifferentation formula true 1 - dx 3+ 7x k Inl3+ 7xl +C

A: To find the value of  that makes the antidifferentiation formula true.

Q: (e) When will the insect population double? 2. Growth of Bacteria The number N of bacteria present…

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Q: Using the appropriate substitutions sin sin 20 = 2 sin 0 cos , evaluate the integral. 16 cose Ꮎ ᏧᎾ…

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Q: Solve the rational equation below, please upload a picture of your work. 243 +2³6 - 27 2-32-18

A: To solve the following rational equation.

Q: 0. Find the volume of the resulting solid if the region under the curve y = 1 x² + 3x + 2 from x = 0…

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Q: The volume of a right Circular Cone of radius r. and height his given by V=1 arth. Suppose that…

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Q: (a) Sketch the graph of r = 8 cos 0 by plotting at least 4 points in polar coordinates. Label the…

A: given a equation

Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = x(t) = - 1 1 0 1 0…

A: A=

Q: Graph the function y=-2x³. +6x² +2 by identifying the domain and any symmetries, finding the…

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Q: Consider the following expressions (a) div(gradf) (b) grad(div F) (c) curl(curl F) Classify the…

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Q: 5. Consider the volume of the two solids lying between the spheres x² + y² + z² = 4 and x² + y² + z²…

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Q: 10. f(x) = e² 12. h(m): 2 化 Vm

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Q: Find the work done by the force field F in moving an object from P(-7, 5) to Q(5, 5). 2x. F(x, y) =…

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Q: The graph of the derivative f'(x) is given below. On what interval(s) is the function f(x) concave…

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Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: 9. Which derivative does the limit lim h→0 (2+h)²2-4 Ih (A) f'(2) where f(x) = x² (B) f'(2) where…

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Q: Determine the Fourier transform of the following signal: x (t) = è¯(t-1) u(t-1)

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Q: The graphs of the polar equations r₁ = cos(20) and r₂ = sin(9) + 1 are shown below. Find the 4…

A: We have to find the value of  at which r1 and r2 are equal to 0 and intersection points.

Q: Graph the function: f(x)=(x-3)² 4-X if x4

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Q: A farmer has 2000 ft of fencing and plans to construct a rectangular pen. Find the dimensions of the…

A: Given data: The total length of fencing is 2000 ft.

Q: 4. Let C(x) represent the cost, R(x) the revenue, and (x) the total profit, in dollars of producing…

A: Let C(x) represent the cost, R(x) the revenue and  the total profit, in dollars of producing x units…

Q: Evaluate u³(²-1)² du in terms of u by expanding the integrand. [/u³(²-1)² du = -/( 11 + C 1) du

A: To evaluate  in terms of  by expanding the integrand.

Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

A: Given: Length of wire for electric fencing is 2400m, and one side of plot is bounded by a river.