Sin (x) n=

Q: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

A:

Q: having

A: We will find the half life. 

Q: The distance in feet of a particle from some fixed point is given by the following function, where t...

A: Given function,s(t)=t2+3t-3a)  What is the average velocity of partical from the interval 1 to 2 sec...

Q: 2 y = | (x 3. 4x + 5) dx

A:

Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

A:

Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: From the given curves and the line bounded region is as shown below; Use the cylindrical shell meth...

Q: Question Use the quotient rule to evaluate h' (a) for the given function h(x) and a. 7x h(x) = a = 2...

A:

Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: Evaluate the following improper integrals to determine if they converge or diverge. integral converg...

A: Note: As per our company guidelines we are supposed to answer the three sub-parts of the question. K...

Q: Suppose that the distance an aircraft travels along a runway before takeoff is given by D= (5/3), wh...

A: We will find the time and distance. 

Q: Find the amplitude of the graph of y = - 5 sin O 167 8. 05

A: Comparing with standard form of the wave equation

Q: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

A: The amount of loan she took P1 =  $30,000  The current loan amount balance P2 = $56,000   Percentage...

Q: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: This question is related to definite integration, we will solve it using given information .

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 4. If x - xy + y = 1, find y' 3x2 a.): b.) 1-3y? c.) x-3y2 d.) +3y?

A: Using chain rule of differentiation

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: Solve the differential equation (7x – 4y + 15)dy + (2x – 5y + 12)dx = 0 when x = 3, y = 2

A:

Q: To evaluate the integral expression / sin -1(Vx ) dv, using simple substitution dv =f (x)dx_ Determi...

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Q: sin 2y dx - 3x--cos 2y dy = 0 by separation of variables. Solve the differential equation A xe - 3 c...

A:

Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: Select the integral that calculates the average of a function f (x) O f (#) dæ Of (x) da

A:

Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: x + 1 1 dx = + 1 - Ina + a Find: a + B

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

A:

Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A:

Q: Find the complete solution of dy + dz = 3z'ydz

A:

Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A:

Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

A:

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: To identify which statement is true or which is not1st:ydx+xdy=0 is the DE of family of lines passin...

Q: 13. A company produces a special new type of TV. The company has fixed costs of ​$462,000​, and it ...

A: Given:  Fixed cost =$ 462,000 Cost price per TV=$1500 (TV sold , charged price)=(750,2300) and (800,...

Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: To find out the first five terms of the sequence and also find out its limit if it is converging or ...

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

A:

Q: are

A: We will find the critical points. 

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: 5. Let f(x) be the function f(x) = {* T*<7 What is the value of c that makes the function f(x) conti...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following state...

A:

Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: 9. 1+x

A:

Q: P. Iff: [-4,0]→R is defined by e* + sin x, its even extension to [- 4, 4] is given by (a) – e-lx| - ...

A:

Q: sinx cos x-1 Use the trigonometric limits lim 1 and/or lim = 0 to evaluate the following limit. x-0 ...

A:

Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...