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Q: The surface area of a sphere increases at a rate of 82 m2/sec. Then the rate at which the radius cha...

A:

Q: =(x)f xisinx find The even and o dd parts of each ofThe fallowing feunTions

A:

Q: QUESTION 4 Estimate the value of (5 + (2.01)? )z using local approximation.

A:

Q: A food corporation declared a dividend of P25,000,000 for its common stock. Suppose there are 180,00...

A: Dividend is P25,000,000  And shares are 1,80,000 So the per share dividend = Dividend/no of share  D...

Q: In Exercises 13–17, a region of the Cartesian plane is described. Use the Shell Method to find the v...

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

Q: || 2xy dA where R is the region bounded by x' + y =1. x² +y² = 4. y=x, and y=0.

A: Solved below

Q: Find the absolute maximum and absolute minimum of the function f(x) =1² – 6z + 5 over [1, 6].

A:

Q: B. At least how many moves are needed to solve the Tower of Hanoi problem with 4 chips, 5 chips and ...

A: Given : Tower of Hanoi problem with 4 chips, 5 chips and 6 chips

Q: 3. Discuss the continuity of the ff. functions. (Consider all the possible points of discontinuity. ...

A: Solution is given below:

Q: 18 18. k - (k+ k=14 L 10 om p19.3 k=1 12 160V-n20. Σ k=5 2/3

A: To find the sum of given series.

Q: Evaluate: .2 r3 (x + y)dxdy

A:

Q: Question 18. A Fund is set up such that the first monthly payment is £360 and subsequent payments in...

A: We need to find fund and month.

Q: Evaluate S(x + y)dxdy by reversing the order of integration.

A: ∫01∫y2yx+ydxdy=∫01∫xxx+ydydx∫01∫y2yx+ydxdy=∫01[xy+y22]xxdx ∫01∫y2yx+ydxdy=∫01[xx+x2-xx-x22]dx∫01∫y2y...

Q: The surface area of a sphere increases at a rate of 64 m²/ sec. Then the rate at which the radius ch...

A:

Q: ) Find the arc length of the curve x = cost + tsint, y = sint – tcost on the given interval 0 < t < ...

A: Here we have to find the arc length of the curve x=cost+tsint, y=sint-tcost, on the given interval 0...

Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 8x16 + 0....

A:

Q: Evaluate the indefinite integral: dz +C IV 36z2-1

A:

Q: PV Years Percent Compound FV $342,858.20 100 2.71% Monthly O a. $1,272,003.92 O b. $5,137,189.96 O c...

A: Compound Interest formula : A = P1+rnn·t where A = final value (FV) P = principal value (PV) r = rat...

Q: (a) Set up, but do not evaluate, an integral to compute: the mass of a wire following a semi-circula...

A:

Q: The critical points of the function f (x) = 16x² – 2xª occur at O x = 0, x = ±2.00 O x = 0, x =±1.00...

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Q: 2. Let f(x) = sin(D + 1)x sin(4 – D)x . (i) By the help of the third order Maclaurin polynomial of f...

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Q: 7. Consider the differential equation dy -t y° . dt (a) Solve the initial value problem with y(0) = ...

A:

Q: A person's annual salary starts out at $50000. In scenario 1, the person receives an annual raise of...

A:

Q: Consider the following arithmetic series, S, where: 3 = 4 +7 + 10 + ...+ 55. Write down the first te...

A: As per the instruction, we will be answering only one question. Given: Here, a = 4, d=7-4=3. Now,  ...

Q: Solve the following initial value problem. dy = 'V, y(0) =0 %3D da y =

A: Firstly , separate the variables and integrate on both sides and solve. ∫xn dx =xn+1n+1+C

Q: P450,000 bond is redeemable at P550,000 after 5 ears. Coupons are given 5% convertible semi- nnually...

A: Given query is to find the semiannual coupon amount.

Q: 2. Consider the function f(x) = (x-1)(x- 2)(x- 3). (a) What is the domain of f? Find horizontal and ...

A: Given function y=fx=x-1x-2x-3

Q: Sketch the graph of the function. (4 + x if x < -1 f(x) = {x? if -1 < x < 1 (2 – x if x 2 1 y y 4| 4...

A: Here, the given function is: f(x)=4+x  if x&lt;-1x2  if -x≤&lt;12-x if x≥1

Q: 2. The seats in a small theater are arranged consecutively like an arc of the circle. Joan, Ana, and...

A: Property of circle is to be used.

Q: Find all possible functions with the given derivative. 1. If y 1, then y %3D 2. If y = a, then y 3. ...

A:

Q: The critical points of the function f(r) = 36z - 2z' occur at O z= 0,z = +1.50 O r= 0,z = +4.00 O z=...

A:

Q: A company that manufactures flash drives knows that the mumber, . of flash drives it can sell each w...

A:

Q: SV4 – x²dx

A:

Q: The surface area of a sphere increases at a rate of 82 m² / sec. Then the rate at which the radius c...

A: Use rate of change

Q: 1. Indicate if the following series converge or diverge. You must identify all the tests you use and...

A: Indicate if the following series converge or diverge. 

Q: 7.2 22+81dt 7.3 *csax dx. (Integration by pert)

A: Integrate

Q: QI: what is the speed does a meter stick move if its length is observed to shrink to 0.5 m?

A: Given original length is = Lo = 1 m Contracted length = L = 0.5 m Let speed of metre stick is V m/s ...

Q: x4 +3 is 6x + 2 The answer to lim

A:

Q: Compound Interest - Present Value. Jerry plans to do his master degree in six years, which cost him ...

A: Compound Interest formula : A = P1+rnn·t where A = final value P = initial principal value r = inter...

Q: Q.3 (a) Show that the function u =e-2xy sin (x² – y² ) is harmonic.

A:

Q: |x° In x dx

A: Here we have to calculate,  a) ∫x9ln(x)dxb) ∫xtan-1(x)dx

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A:

Q: Given ||(3x²y)dA , where R is the region bounded by y=0 and y = v9-x* Sketch the region of integrati...

A: On plotting y = 0 and y = 9 - x2 , we will get this region , for which we have to calculate area. He...

Q: 5. Show that the function f (x) has roots between (0,2) x + 2x – 3 f(x) = %3D x – 1

A: Given that: f(x)=x2+2x-3x-1

Q: 10. Let L: R* → R* be the "shift mapping" defined as follows: X1 X2 X1 LX3 X2 X4 X3 X5 X4 (a) Show t...

A: This question is from matrix

Q: QUESTION 2 Estimate the value of V80.9 + V80.9 using differentials.

A: To evaluate : 80.94 +180.94 Let f(x) = x14 Now, we can write 80.9 = 81- 0.1 Take x=81, ∆x=-0.1

Q: Use Newton's method to approximate a root of the equation 3 x° + x + 4 = 0 as follows. Let x1 = 1 be...

A:

Q: Use half angle formulas to fill in the blanks in the identity below: 1 1 (sin(7x))* cos( X )+ ㅎcos( ...

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Q: Evaulate: 2

A:

Q: Convert the Cartesian coordinate (3,6) to polar coordinates, 0 < 0 < 27 r = Enter exact value.

A: Given:- Cartesian coordinate (3,6)  To find:- Convert Cartesian coordinates to polar coordinates for...