Find the given 5x? cos 2x dx. Using this: "uv – f v du"

Q: dy + 2xy = 4x dx

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Q: Find the derivative of the following functions.

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Q: (1+x*)dy + x(1+ 4y²)dx =0

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

Q: sec? x 2. csc2 x = sec2 x-1

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Q: Show that the function f(x, y) = xy – 6y2 is differentiable by finding values of ɛ, and ɛ, that sati...

A: We will calculate the steps and then by definition will prove that f is differentiable.

Q: Find the length of the curve 7 (t) (9 In(t), 4t?, 12t) for 1 <t < 6

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Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away fro...

A: Given query is to find the rate are which top of the Ladder is going down.

Q: Find the velocity, acceleration, and speed of a particle with position function r(t)=⟨3tsint,3tcost,...

A: Given function is r(t)=(3tsint, 3tcost, -8t2) Find speed of a particle

Q: f'(t) = sin tf (t).

A: Given that: f'(t)=sin t f(t)...(1)

Q: Use shell method to determine the volume of the solid of revolution generated by revolving R about t...

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Q: The wheels on a skateboard have a diameter of 2.41 inches. If a skateboarder is traveling downhill a...

A: Topic  = Algebra

Q: dy/dx% 3 sec 2xsec3y

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Q: Find the magnitude ||0|| of the vector ü = i- 3j. Round your answer to 2 places after the decimal po...

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Q: eliminate arbitrary constant, x=k+ct

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Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

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Q: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x) +x...

Q: The following is/ are true about the area bounded by y-8x & y=2x: O A. y= v 8x -2x O B. Only Horizon...

A: Here, the given region is bounded by the curves y2=8x, y=2x

Q: Setup an integral to find the surface area obtained by rotating the curve y = x x = - 6 for 60 < x <...

A: Here we will setup the integral for finding surface area, 

Q: Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim X-2 doos not oxic...

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Q: Use the figure to determine the radian measure of angle 0. Then approximate the degree measure of 0....

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Q: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4...

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are ...

Q: 17, सिद्ध कीजिये कि बिन्दु a-2b+5c,2a 46+7c तथा 3 (UP 2001) समरेखीय हैं, जहाँ a. b. c असमतलीय सदिश ह...

A: Let, the vectors be, u = a - 2b + 5c  v = 2a - 4b + 7c  w = 3c   

Q: 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the whee...

A: Q1

Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue i...

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y) an...

A: Please see the below picture for detailed solution for detailed solution. 

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: Find f'(x) from first principles, given f(x) is: a) x b) 1 c) -x^2 d) 2x^3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

Q: method of undetermined coefficents when x-0, y=0, Y=0 V Solve using 3X (D4 4D +5)y z 13e +50x

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Q: Use any method to determine whether the series converge. (a) E 9k The series

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

Q: 1. State the Chain Rule: a. z= f (x, y) is a differentiable function and x = s(t), y = p(t) - are fu...

A: Given z=f(x,y) To state the chain rule

Q: \k+2

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Q: dy/dx = şeç 2xsec3y seç 2xşeç'y

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

Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

Q: Find a degree 3 polynomial with real coefficients having zeros 5 and 3i and a lead coefficient of 1....

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Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: 家, for x 2 2 3-x, 3. Given the function h(x) = Corrs graph and find a. lim, h(x) b. lim h(x) C lim h...

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Q: Evaluate the definite integral. Round your final answer to three decimals. 53 298, 512 dt t3 Vt? – 3...

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Q: Given Cost and Revenue functions C(q) = q° - 8q + 51q+ 5000 and R(q) = - 3q +2400q, what is the marg...

A: Given query is to find the marginal profit on production level of 60 items.

Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

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

Q: a hemisphere of radius 12 inches and base up is full of water that runs out through an orifice of ar...

A: Solution of the problem is follows

Q: A hole is drilled through the center of a sphere x² + y² + z² = R,², leaving a ring-shape solid. If ...

A: The radius of the sphere is 'Rs' and radius of cylindrical driller is 'Rd'. When the cylindrical por...

Q: Consider the function the following rational function 10 18 16 -8 -6 -2

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Q: Multiples of 7 are written next to each other 714212835.... Find 2020th digit. A) 1 В 3 C 5 D 8

A: Given:- Multiples of 7 are written next to each other 714212835.... Find 2020th digit.

Q: Find the dimensions of a closed rectangular box with a square base and volume 3375 in3 that can be ...

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Q: Find the length of the arc if f(x) = In(cos x) and 0 s x %3D 2. Find the length of the arc formed by...

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

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is