PROBLEM SET NO. 2 Evaluate the following integrals. Express your answer in simplest form. Box your final answer. dt 1. S 49+16t² dx 2. S 36-9x2 dz 3. S 2z/4z2-9

Q: 2r -3 (x – 1)²(x² + 1) – x dx = -arctan(x) – 1 - In |x – 1|+ 2(x – 1) 1 + C 2 x -1 -

A: Prove that  ∫2x-x3x-12x2+1dx=-32tan-1x-1x-1-lnx-1+12x-1+cSolution :2x-x3x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1...

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(-5,4) and...

A:

Q: for f(x)= l x-1 l use the definition of deferentiablity to determine if f(x) is diferentiable at c=

A:

Q: 4. A rod is divided into ratio 1:3:5:6. If the 2nd to the shortest part is 35, find the length of th...

A:

Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

A:

Q: Write an inequality with x isolated on the left side that is equivalent to the given inequality. Mx ...

A:

Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

A:

Q: termine the critical points of the function f(x,y)=-2xy + y –x'. fter olessifir uhother 2ngh orition...

A: Please refer to the image below 

Q: Which of the following is NOT true about the graph of parabola with equation in standard form (y - 1...

A: In order to check the points we need to compare the equation of parabola with the standard equation ...

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 16), y(0) = 0 y =

A: Given:- y' = 3x2 (y2 + 16), y(0) = 0 To find:- The solution to the initial-value problem.

Q: Write the first five terms of the sequence with the given nth term. = cos %3D

A:

Q: Consider the function f : R → Rj, f(1) = (x – 4)°. Complete the following: fis because the equation ...

A:

Q: 1. Find the dy/dx of (2 Points) OY OY- 30"

A:

Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

A:

Q: Below, a circular plate is submerged in a liquid with a weight density of 80. lb Compute the hydrost...

A:

Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: For f(z) = 20, find using the definition, f(z+ Az) - f(z) = lim Az0 Ay dy = lim Az0 Ar da Az (a) Fir...

A:

Q: A price p (in dollars) and demand x (in items) for a product are related by 2x - 5xp + 50p2 = 21,200...

A: We need to find rate of change of demand.

Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: Find the angle between u and v in radians. u = 4j - 2 k, v = 8 i - 3 j- 10 k O 0.14 1.43 1.57 1.53

A:

Q: y = x²(x – 5)²

A:

Q: Aling Toyang arranged 6 potted plants in a row. Combination O Not Combination

A:

Q: Differentiate. y = (r2 – 7r)e y' =

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: e2x – 4 3. lim 1→In 2 x – In 2 tanh x 4. lim 1→0+ sech.x – 1 5. lim e"(cschz)

A:

Q: 2 3 -x´ - 4xy + 3y°; x= - 2, y = - 3 nen x= -2 and y = - 3, -x - 4xy + 3y° is mplify your answer.)

A: Topic:- algebra

Q: 5+ 4 cos 0 as shown in the figure below. What is t aluate and round to the nearest thousandth.

A:

Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

A:

Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

A:

Q: 2x – x3 dr (х — 1)2(х2 + 1)

A: Given that ∫-∞02x-x3x-12 x2+1dxSolution :2x-x3x-12 x2+1=Ax-1+Bx-12+Cx+Dx2+12x-x3x-12 x2+1=Ax-1x2+1+B...

Q: f (x) = 2x? – x +6

A:

Q: Consider the graph of the function f in figure 21. 1. Determine whether f is continuous or not at t...

A:

Q: What is the graph of the equation (x – xg)2 + (y – yo)² + (z – zo)² = r2 where r = 0? Sphere Concent...

A: Given equation is  x-x02+y-y02+z-z02=r2 When r=0, given equation turns into x-x02+y-y02+z-z02=0 As s...

Q: Find the interval of convergence of E27" (x – 3)3n+2 n=0 (Use symbolic notation and fractions where ...

A: Giv:    Limit equations is given

Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

A:

Q: A manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for...

A:

Q: Find the general solution to the differential equation. y' = eyx6 y =

A: Given :y'=eyx6

Q: Find all the first order partial derivatives for the following function. fx, y, 2) - ze (ху) O af ze...

A: ∂ex∂x = ex.

Q: em #5: (a) Express the complex number (4-3/n) in the form a + bi. (b) Express the below complex numh...

A:

Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

A:

Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Profiles Tab Window Thu Mar 10 7:17 PM View Bookmarks Chrome File Edit History T Calendar XN Spring ...

A: The given function f(x)=-1+2x-x3

Q: Let F(x,y) = 2x + 3y . If (x , y) changes from ( 4,7) to ( 6 , 10) , find A F and dF. Enter AF in Bl...

A: To solve the following problem

Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: Find the equation of the vertical asymptote f(x)=log(x+4

A: We have to use properties of log function to solve the problem.

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...

Q: –3–9i -2–91 8. -2+7i 9. (–3+ 2i) (–6 – 8i) 7. 5-8i 10. (–2 – 2i) (–4 3i) (7 + 8i) -

A: According to bartelby guidelines i am supposed to answer only 37.-3-9i5-8ion rationalization we get-...

Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given b...

A: We have to find the focci of an ellipse 

Q: What is the graph of the equation (x – x0)? + (y – yo)? + (z – zo)2 = r2 where r= 0?

A: