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Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)– csc(x)]?dx_ A -2 1 B C None of the gi...

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Q: dæ Evaluate (16 + a2)

A: sec2x -tan2x=1 cos(2x) = 2cos2(x) -1 sin(2x)=2 sin(x) cos(x) ∫cosax dx =1asin(ax)+C

Q: Find the maximum or minimum value of the function. f(x) = 3x2 − 6x − 100=   Is this a maximum or ...

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Q: solve ydx +(x-y)dy=0

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Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

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Q: Find the value of the integral d.x 3x(In(3x))² Determine whether the series 1 n=2 3n(ln(3n))2 is con...

A: Given query is to find the value of the integral.

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s - (,) 00 1 1 S = n +1 n+...

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Q: Evaluate: (6x2– 6x + 6) dr A None of the given choices B -6 - 16 D 12 (E 10

A: ∫126x2-6x+6 dx

Q: 1 9 – x2 (A In(v9 – a?) + C - B 응sin-1(품) + C (C 3sin-1(x 3 + C D) sin-그(프) + C 3

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Q: Calculate the integral using a hyperbolic substitution. (Express numbers in exact form. Use symbolic...

A: To evaluate the integral.

Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

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Q: Determine the exact values of the six trigonometric functions of the angle 0. (a) (15, -8) sin(0) = ...

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

A: Q1

Q: 20 15- 10- 5- 10 15 20 The rate at which people arrive at a theater box office is modeled by the fun...

A: In order to find the number of people entered in the time 0 < t < 20, we need to obtain the ar...

Q: dx x²+x-6 9-

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Q: y = 2(1.5)" 6.75 The value of a is . Give answer as a number, not an ordered pair.

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Q: 4) x*d'y dx? 3x dy + dx when x=/ , dx

A: Given differential equation is x2d2ydx2-3xdydx+4y=0and given conditions are y1=0 and y'1=0

Q: Spot the mistake/s in the solution. Tick the box that applies. S sin x h (os x ) dx

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Q: 3-8 Use the Chain Rule to find dz/dt or dw/dt. 3. z = xy – x'y, x=t + 1, y =t - 1

A: 3) Given:        z=xy3-x2y where x=t2+1 and y=t2-1 substituting x and y values in z     z=t2+1t2-13-...

Q: 4x4 + 3 dx = 4x5 + 15x +2 1 + C 5(4x5+15x+2)² A) ++3x .5 + C 15 - x²+2x 2 (C In 4x + 15x+ 2+ C D) 5 ...

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Q: Consider the following initial value problem: y' =xy3(1+x2)-1/2 ,      y(0)=1 (a) Find the soluti...

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Q: Use a 45° -45° right triangle to find the exact value of the following trigonometric expression. csc...

A: Draw a schematic diagram of given question.  

Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

A: We need to identify that the given series is convergent or divergent using the integral test.

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P...

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Q: Estimate the area of the region between the function and the x-axis on the given interval using n = ...

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Q: Ax) =-7 +2r-3x Identify the End-Behavior of this function Justify your answer.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Let g be a differentiable function such that g (4) = 0.325 and g' (x) = e- (cos()). What is the valu...

A: Solution: g(4)=0.325   (Given) g'(x)=1xe-xcosx100

Q: 8. Evaluate the limit r sin 0 sin(20) lim 0-0 + 2 cos 0 tan 0

A: As per the guidelines we are supposed to solve one question at a time. So please upload the other qu...

Q: The furnace in a home consumes heating oil during a particular month at a rate modeled by the functi...

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the tri...

A: Given that the altitude of a triangle is increasing at a rate of 3 centimeter/ mimute.⇒dhdt=3 centim...

Q: Choose among the following suitable to define the given integrations: * S(3x + 1) e¯*+1 dx none of t...

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Q: If we are told that f'(5) = 6 evaluate h'(0) where h(1) = f(5 cos r + x² + 2x).

A: Given function h(x)=f(5cosx+x7+2x)  

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x² ...

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Q: Carite tan 24t.10x= 14 equlin fer a lie pepanicubr to Hhe pait (10.6) and

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Q: Solue the following d.e. 16 tang x

A: Let's find. 

Q: Use the indicated x-values on the graph of y = f(x) to find the following. с d e f Find intervals wh...

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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: Given the following table, give the best estimate for f'(3) 6 9. 12 15 f(x) 38 43 55 60 22 3

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

Q: (а) du 5-u () / A 1 dr

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Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

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

Q: The region bounded by f(x) = - 1la + 6x + 27, a = 0, and y 0 is rotated about the y-axis. Find %3D %...

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Q: Which of the following is equivalent to 24 f /4- da O none of these • 12 f(1 -cos 0) dº O 24 f (1 - ...

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y = Illus...

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Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation o...

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Q: (a) Identify the domain and range appropriate for your problem situation. Write your answers using s...

A: Given is a step function. 

Q: Used A population is modeled by the differential equation dP = 1. P dt 4200 (a) For what values of P...

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Q: 2.

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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: 1. Given a > 0 real, evaluate the following limit: V2a³x – x4 – aVa²x lim a – Vax³ Xa ах

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