SHOW THAT : csc² (2 cot¯ /x -1 dx X - 1 Vx +x/x

Q: (1) Prove that every perfect square is either a multiple of 4 or e more than a multiple of 4. [Hint:...

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Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 – 5x2 – ly?. The xy-trace i...

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Q: by L'Hopital's rule 1-cos(x) lim x2

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Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blo...

A: Maximize concentration

Q: 1. Assume the graph pictured below is the graph of a function (x). Use this graph to answer the ques...

A: Solution of question is written in below steps.

Q: S4 csc2 4x dx

A: Solution is written in below steps

Q: 1. S 5e* dx 2. S(2 – 3e*) dx 3. S 72x+3 dx 4. S dx x In x 3 dy 5. S 4y-3 6. S dx 2 x+5 7. Se* (1 + 2...

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Q: Solve by Chain Rule g(t) = sin (e1-t + 3 sin(6t))

A: Solution is written in below steps.

Q: ridhtte aren ) uside the Circle Yaf cnd the the Carive r;2 Gs dud arve ) Outride The Grule Yovz and ...

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Q: Activity on ELLIPSE Directions: Determine the equation of the ellipse in Standard Form and General F...

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Q: y = (x² – 1)lnx

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Q: y = cos(x In 3) log3 (sin x) is: y 3D cot(x) cos(x In 3) – sin(x In 3) In(sin x) y' cos (x In 3) - s...

A: As we know that; The Chain rule: fgx'=f'gx·g'x The Product rule: f·g'=f'·g+f·g'   And ddxlogax=1xlna...

Q: 1- Solve the following equation: < 2

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Q: 9. S sin(4x – 2) dx

A: We have to answer question 9.

Q: f(x) = 1– 2x – x2

A: Nothing is clearly mentioned here so i am solving it by considering that you want to differentiate i...

Q: 3- Find the slope and y-intercept of the line 8x + 5y = 25

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Q: Are 2x – 4y = 3 and 2x + 4y = -3 parallel, perpendicular or neither?

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Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres ...

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Q: Question 3. Let a € (0,1) and define f : T→R by 1 f(x) = sin(nx) na n=1 for all r E (-T, 7]. Prove t...

A: We have

Q: With x people on board, a South African airline makes a profit of (960−3x) rands per person for a sp...

A: Given problem:- With x people on board, a South African airline makes a profit of (960−3x) rands per...

Q: 10. W (꼭프) 22π 3

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Q: 9. S sin(4x – 2) dx

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Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below 

Q: Solve by Chain Rule 8 poir f(y) = /2y + (3y+ 4y²)³ %3D

A: Here clearly not mentioned, what to do with this question, but as we know chain rule is applied to d...

Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

Q: A bacterial population is 2000 at time tea equals zero, and it’s rate of growth is 1000×2^t bacteria...

A: We have to find the population after one hour

Q: 6. y = (x² – 1)tnx

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Q: 2.2

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Q: S sin 3xcos"3xdd

A: Given: ∫sin43xcos43xdx Let I=∫sin43xcos43xdx  ⇒I=116∫2sin3xcos3x4dx ⇒I=116∫sin46xdx

Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...

Q: Consider the series > and n=1 Vn3 + 3n – 1 n312 n=1 Write an inequality comparing 1 1 to for n > 1. ...

A: Please see the below picture for detailed solution. 

Q: 2. y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

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Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: -

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Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

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Q: Evaluate the integral using integration by parts. Indicate the u, du, dv, and v. Full solution.

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Q: find (y') by Implicit differentiation x² tan(y) + y10 sec(x) = 2x

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Q: Evaluate by any applicable method. 1/2 5-x dx 4x2+1 O None of the choices. Please refer to my soluti...

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Q: 3. Find the angles between the vectors: a. u = 2i + j, b. u = 2i – 2j + k, v = 3i + 4k v = i + 2j – ...

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Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area...

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat x...

Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x- a...

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Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the t...

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Q: Directions: Determine the equation of the ellipse in Standard Form and General Form given the follow...

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains ...

Q: Given the expression an = V4n² + 3n – 2n for n > 1 Check whether this is convergent or divergent: an...

A: The given sequence is a an=Sqrt(4n2+3n) -2n. 

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

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Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is attach...

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Q: 6. S21-2xdx

A: