Directions: Solve the following below. Show your solution in any blank paper. Find dy/dx, if 1. y sin 3x+ cos 2x 2. y = cos (1+ sin x) 3. y = cos(x+ e*) Answers:

Q: For the function f ( x ) = 2 x ^2 + 2 x , evaluate and simplify. f ( x + h ) − f ( x ) /h=

A: Given query is to perform indicated operation on the function.

Q: The solution is x= Solve for x. (Simplify your answer. Type an exact answer, using radicals as neede...

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

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: The series resembles 1/n^2. So, it is convergent.

Q: 2. Which of the following is a correct classification of the differential equation xy" +2(y')* – y =...

A: We have to classify given differential equation.

Q: A point starts at (x, y) = (4.8, 0) and moves CCW along a circular path centered at (x, y) = (0, 0)....

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Q: Determine whether the following function is continuous, differentiable, both continuous and differen...

A: NOTE: Refresh your page if you can't see any equations. . here we have x=-8 ..............which is...

Q: ate the limit, if it exists. (If an answer does not x2 + 4x lim x-7 x2 - - 3x - 28

A: We will find the limit. 

Q: 14. What is the particular solution of the linear differential equation y' = x° - 2xy; when x = 1, y...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: Determine whether the alternating series converges. k + 1 | 10k + 1 k=1 O The series converges. O Th...

A: In this question we have to find whether the series is convergent or not.

Q: integral (7+ sin t)l cos t dt Evaluate the 21 using the substitution u = 7+ sin t. | (7+ sin t) Cos ...

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Q: Given f(x)= x - x^2 and g(x)= 4x-2 Simplify f(g(x))

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Q: Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x² – 9, g(x) = 3x – 4 (fo g)(x) = | (S...

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Q: х3+ 4x2-9х-36 3. у %3 4x2 +28х+48

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Q: dy Which of the following functions can be used as an integrating factor to transform the differenti...

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Q: 12. For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху- у...

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Q: inlメ- Vx?+* ) X→ め

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Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

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Q: Classify the stationary point(s) of the following functions as convex, concave (strictly or weakly) ...

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Q: Solve. The solution(s) is/are x = (Simplify your answer. Type an exact answer, using radicals as nee...

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Q: Evaluate. Show all your work and make sure answer is in simplest form. 39 (x+2)(x² +9)

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Q: 7. Determine the following general antiderivatives. | cos*(x) b. sin(x) xp- 10 10 | sin(x)cos(x)] d....

A: Please see the below picture for detailed solution. 

Q: The figure below shows two tiny charged spheres q1 = 7.29 µC and q2 = -7.11 µC separated by 70.34 cm...

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Q: 1. Which of the following is an ordinary, linear differential equation of order 2? +k?xt = 0 dt dx a...

A: Given :Order : Highest derivative of differential equaltionLinear Equation :d2ydx2+pdydx+q=0

Q: 2ах — х e la dx Use gamma or beta laws

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Q: The following integral will be evaluated using integration by parts with the indicated choices of u ...

A: The objective of the question is evaluate the indefinite integral by parts.

Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first...

Q: The pressure, volume and temperature of an ideal gas are related by the equation 8.31T P(T,V) = V Wh...

A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

Q: Determine whether the following function is continuous, differentiable, both continuous and differen...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

A: We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫1ax+bdx=1alnax+b+C∫eax+bdx=1aeax+b+C Given: I=...

Q: In each of Problems 1 through 4, determine intervals in which solutions are sure to exist. 3. (x−1)...

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Q: Subtract and simplify. (3 – 5i) – (-8 + i) (3- 5i) – (- 8+ i) = | (Simplify your answer. Type your a...

A: Given query is to simplify the expression.

Q: Write the first five terms of the sequence: Edit {Vn² + 10n – n},=1 Determine whether the sequence c...

A: We have to find given sequence bis converge or not and also find its limit.

Q: Obtain the differential equation of the family of circle with center on the x-axis ? a. yy" +(y")²-1...

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Q: A point starts at the location (6, 0) and travels 15 units CCW along a circle with a radius of 6 uni...

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Q: Using IMPLICIT DIFFERENTIATION, find y'. +3y² y = 4x? – 5x°y 2ху + Зу? .3.

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Q: Find the elasticity. q= D(x) = 300 – 6x O A. E(x)= X- 50 O B. E(x)= 300 – 6x O C. E(x) = %3D 50 - X ...

A: Given demand function q=D(x)=300-6x Option (A) is true see explanation

Q: egration * Messenger Jizzes/128846/take Upload Choose a File Question 4 4. Evaluate dx. Upload Choos...

A: Integrate it. 

Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral

Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: 3. Use lhe Intermediate Value Theorem to show that dhe following equation has a solution. sec(x) = x...

A: Given secx=x^2+e^e-1

Q: Find the inverse of the following with in-depth step by step solutions and explanation  f(x)=3−2x5

A: Find the inverse of the following with in-depth step by step solutions and explanation  f(x)=3−2x5 

Q: Which one of the given differential equations is not separable? O y' = f(x)g(y) f(y) y' g(æ) f(x) y'...

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Q: 2 b

A: Comparison Test: Let ∑ an, ∑ bn be two positive sequences such that for all n,    an≤ bnIf ∑ bn conv...

Q: Consider the following sequence: {an} = {n – n² },e n=1 Use an+1 – an to show that the given sequenc...

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Q: 1. Find dy/dx using chain rule and or implicit differentiation. a) In(xy) + 5x =30 b) (sinax + coszy...

A: As per bartleby guidelines we only give first three question answers. 

Q: Evaluate the integral. Show all your work. 3 (sec' xdx

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Q: 9. What is the solution of (x? +2xy – 4y? )dx - (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x? ...

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Q: Find the point(s) of intersection of the line x = 1 – t, y = t, z =1– 2t - and the paraboloid z = 8 ...

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