given the function and interval find a formula of RN:  f(x)= 5x+2 on [0,6]

Q: I. SOLVE THE following Linear D.E. Adx + xtany dy=sinaydy

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Q: 4.) [3x²(x²+2) dx

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Q: Find the arclength of the curve x with 2 ≤ t ≤9. 1 3 Y - 2

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Q: Determine the 8-values for the points of intersection of the graphs of the polar curves r = 3 sin…

A: The given polar curves r=3sinθ+1 and r=sinθ. We have to find the point of intersection point of the…

Q: .) 2 4x S₁ x² +1 dx

A: To evaluate the given integral

Q: to go to obtain an increase of Problem 2. Consider the function f(x,y) = y ¹ | ²₁ (a) What is its…

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Q: 1) Find the general antiderivative of the function y = O 0.1Ln/x^3+x) + C O 10Ln|x^3+x| + C…

A: Given query is to find the integral.

Q: Calculate the divergence of D at the point specified: D = (1/y2) [ 4xyz2 ax + xy2 ay – 10xy3 az] at…

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Q: true or false?

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Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: Let f(x) be defined such that f(2)= 3 and f'(x) = cos(- = cos(+ +x), where 1<x< 4. Part A: Find the…

A: Given: The function fx is defined such that f2=3 and f'x=cos1x2+x, where 1&lt;x&lt;4. Part A: Using…

Q: Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the inner unit normal. Use…

A: Given S be  the lower half of the unit sphere x2 +y2+z2=1 and n→inner unit normal. The boundary…

Q: What is the point ony = 2√x A (2√2.244) B (4,4) (2.2√2) that is nearest to (4, 0)?

A: Topic - Application of differentiations We are given an equation of a curve as y=2xand a point as…

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. ≤ 0…

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Q: 24. Let f(t) = log3 (9t) + 4 and g(t) = 3t. Simplify (fog)(t) completely.

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Q: (a) Rectangular equation: (b) Parametric equations: Rectangular equation: Parametric equations:…

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Q: Find the general solution of the given system. dx dt (x(t), y(t)) dy dt = 9x - y = 5x + 5y

A: Please see the below answer.

Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: Find the general solution/ particular solution. 1. (D²+4)y=4 cos²x y(0): .y'(0) = 2

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Q: Determine the domain of the function of two variables. g(x,y)= 8 y+x² {(x,y) y*)

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Q: Question Determine the 8-values for the points of intersection of the graphs of the polar curves r =…

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Q: Determine a vector of magnitude 7 in the direction opposite to the direction of

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Q: Evaluate. 2 √2x dx

A: Our Aim is to evaluate the integral given below:-∫022x dx -(i)

Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2, 1) Find an equation of the…

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Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

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Q: Calc 2, Fall 2022 Problem Set 5 For any series, in order to conclude that it converges or diverges,…

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Q: Let a≠ (doesn't equal) 0. Solve for x                  ax+b=c

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Q: Follow the hint and solve the system.   log(x) + log(y)  =  3 2  2 log(x) − log(y)  =  0…

A: Logarithmic equation

Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: 19. Simplify the expression 52+log5 (2) completely.

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Q: Consider a triangle ABC for which ZA= 105°, a = 28, b = 18. If such a triangle can not exist, then…

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Q: Use the divergence theorem to find the total flux out of the solid x² + y² ≤ 4, 0≤z≤1, given that…

A: use divergence theorem and cylindrical coordinates for finding flux.

Q: (c) [*e*dz = e² dr (d) [₁ 2³ d dr

A: Let's solve given integral.

Q: Integrate csc^5x dx using integration by parts

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Q: 22. If log(x) = -4, find the value of log(ar³).

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Q: 21. Expand completely: logn X y² - 9 -

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Q: K A soda can manufacturer wants to minimize the cost of the aluminum used to make their can. The can…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t): 2+² ly(t) =…

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Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

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Q: nd an equation of the normal line to the function

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Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: b) Find a function f(x) such that both f′(x) = cos(x) + e^2x + 2x and the tangent line to f(x) at x…

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Q: Find the indefinite integral 3 cos 0(5 tan 0 + 9 sec 0) de. 0(5 tan 0+9 sec 0) d0 = (5t 3 cos 3 cos

A: we know that  tanx=sinxcosxsecx=1cosx

Q: -3.4 0.4 murunin xex dx ound mol

A: given integration is  ∫0.43.4xe-xdx here   N=6 here  b = 3.4     and  a = 0.4   and f(x)=xe-x so…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: 2. Coefficients Linear in two variables. Find a general solution of the differential equation (y -…

A: We have to solve the given differential equation by Coefficients Linear in two variables.

Q: m confused by the step where it goes to (1-cos(pi)). Where does that come from?

A: Please look at the step  4