sin 2xdx 2+cosx

Q: Imagine that you work as a designer in a company that designs baby bottles. Your mission is to…

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Q: The surfaces r = 2 and 4,0 = 30° and 50°, and p = 20° and 60° identify a closed surface. (a) Find…

A: Disclaimer: since you have posted multiple sub part of a question,we will solve only first three for…

Q: Given the graph of f' below, which of the following is (are) true about f at x=a? (a) f is…

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Q: A firm faces a marginal cost (MC) function: MC = 50 - 10Q+Q² (where Q represents units of output).…

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: f(x)=In√√5x-7

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Q: Which is (are) an implication(s) of the completeness property of R? (a) A nonempty bounded set of…

A: Completeness property of R:  If A⊂R has an upper bound, then it has a least upper bound.  If A⊂R has…

Q: Newton's law of cooling states that the rate of cooling of an object is proportional to the…

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Q: Liv F and curl F if F(x, y, z) = xºi - 2j+yzk. F= F=

A: Topic:- application of derivatives

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [0, 3] by…

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Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

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Q: 5- The table below shows the speed-time change of an athlete in a 20-minute running period. The…

A: Given, I=∫020v.dt The Simpson Method and the Trapezoidal Rule are used to complete the integration.…

Q: Ive the equation on the interval 0≤0<2 tan 0-√3=0 www. What are the solutions to tan 0-√3=0 in the…

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Q: Find a Maclaurin series for f(x). (Use F(x) = f* √ 1 + 1³ dt *² ² + Ë Σ 8 n = 2 f(x) = x + (2n)! 2n!…

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Q: Suppose that f(x, y) = = y√x + 1 on the domain D = Then the double integral of f(x, y) over D is […

A: Given function is f(x,y)=yx3+1 and domain is D=x,y 0≤y≤x≤3 We need to find the double integral of…

Q: F(x,y)= 4xy-x^3-2y^2 C. Find the relative minimum and maximum values of F SHOW ALL WORK!!! thank…

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Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

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Q: 4. Consider the function f(x) = 3, a) Evaluate lim ƒ(x) and lim_ f(x). x-0+ x-0- c) Is f(x)…

A: Let's solve limit problem.

Q: 2.) √ √9-4x² dx x² Solution: Case I let u = asino 2x = 3 sine x = 3 sino 2 dx = ² coso do 2 so, by…

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Q: Use the formula k(t) k(t) = "(t) || ||r' (t)||³ r(t) = 11 cos(3t)i + 11 sin(3t)j + 2tk ||r' (t) = to…

A: The given formula is; κt=r't×r''tr't3 And rt=11cos3ti+11sin3tj+2tk   As we know the Chain rule:…

Q: = √x³ + 2x³-3x d (x²+1)³ dx

A: Topic:- application of integration

Q: Find the limit. lim (t i − 4 j + t² k) : = t→8 i i+ i lim (t i 4 j + t² k) t→8 j+ i

A: Given query is to find indicated limit.

Q: Find r(t) u(t). r(t) = (3-7)i + +³1+ j+ 4k u(t) = t²i - 8j + t³k r(t) u(t)= Is the result a…

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Q: 2x+5x7 x3 1²2 dx

A: To evaluate the given integral.

Q: Suppose that f(x,y,z)=(x,y,z)=2x+4y+3z at which x^2+y^2+z^2≤3^2 Absolute minimum of…

A: Please see the below picture for detailed solution.

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

A: We have to find the interval on which the vector-valued function  rt = 13t+1i + 1tj  is continuous.

Q: Find V (F x G), if F(x, y, z) = 13xi +j+ 7yk and . G(x, y, z) = xi + yj - zk. V. (Fx G) =

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Q: 5. y=x² + 4x+5

A: Given the query is to find absolute maxima and minima.

Q: Question 4 Which among the choices is not true about the continuity of f(x)? if x 1 -{₂ f(x) = x²,…

A: I am attaching image so that you understand each and every step.

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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Q: Find the rate of change of f(x) = (Use symbolic notation and fractions where needed.) (a) c = 0…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find curl(2z + 3x j + 6y k). curl(2z i+ 3xj+ 6y k) = (i )i + (i )j + ( i )k

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Q: Evaluate if possible 1 [₁²x5+¹ dx -2 x3 ….…..

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Q: 10 15 20 25 30 monthly salary S( t) in dollars for a dock worker shown above has the following cubic…

A: Please refer to the image below

Q: A company that produces cell phones has a cost function of C = x² - 1200x+36,400, where C is cost in…

A: Derivate the cost function and equate it to zero to find the exact number of cell phones. Then again…

Q: 8. Write the equation of the hyperbola with vertices (5,-2) and (-5, -2), and foci (6, -2) and (-6,…

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Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

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Q: 3. DETAILS ZILLDIFFEQMODAP11 4.5.015. Find a linear differential operator that annihilates the given…

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Q: 8. y = √√9-x over [1,9]

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Q: Find dy/dx: 1 II 22²+(²+1)¹

A: Important Formulae:1)ddx(xn)=n xn-12)ddx(1x)=-1x2

Q: Consider the following function. f(x)=√x-4, x>4 What is the domain of f? (Enter your answer using…

A: Here, the given function is: f(x)=x-4, x&gt;4

Q: If √√x + √√y = 8 and y(4) = 36, find y'(4) by implicit differentiation.

A: Given that x+y=8 and y4=36 we have to find y'(4)

Q: Task 1: Consider vectors x1and x2. For this task. you can only adjust the weights c1and c2by moving…

A: (a) x1→=-11  , x2→=21⇒c1x1→+c2x2→=00

Q: Compute the length of the curve where 0 ≤0 ≤ T. x = 2 cos² 0, y = 2 cos 0 sin 0,

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Q: Is the answer to this question 2pi.

A: To explain that the given answer is correct or not.

Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: If f(x, y, z) = 1, then fff f(x, y, z)dV gives the volume of V.

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Q: 1. dx (x²+4)²

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