2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 2 ft/sec, determine how fast the area is increasing when the radius of the circle is 40 ft.

Q: Question 1: Let v= . The linear transformation S: R² → R² is a reflection on the line that is spanne...

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

A: We have to apply the lagrange's undetermined multiplication for the given problem.

Q: f(n)={1 if n is odd; n if n is even  Prove or disprove. f(n) is O(n).

A:

Q: #1. Sets A and B are defined as follows: A = {n eZ|n= 8r – 3 for some integer r} and B = {m e Z |m =...

A:

Q: O 0.11e?v2i O 0.11e-2v2i O 0.59e-2v2i Evauate, e(42135°) O 0.059e2v2i 0.59e-2/2i

A: The given problem is to evaluate and simplify the given complex expression. Given complex expression...

Q: Jillian has just turned 16 years old and has her mind set on buying a new car by the time she is 20 ...

A: To calculate the future value and the interest earned over the investment.

Q: 41 Complex Varia

A: Given,        (i)  e-2πi        (ii)  eπi2

Q: Using the information shown below calculate the overall index of the cost of college attendance for ...

A: Solution

Q: The Particular solution of the boundary value problem (D+4)y=Q,with y(0)-2,- 0 is a) y=-2 cos 2x b) ...

A: To find the particular solution to the below initial value problem. D2+4y=0, y0=−2, yπ2=0

Q: The Bernoulli equation is a differential equation of the form y'(x) = p(x)y(x) + q(x)[y(x)]",n± 0, 1...

A:

Q: 3. z = 14.745°49' 4. z = -3 cis 310° 5. z = 5ein

A:

Q: For a natural number n, let C, = {(aij) E M„(R): a;j = aki for all i, j,k,1 such that j-i=,l – k}. (...

A:

Q: Consider the coordinate vectors 6. 7 [w]s , (a]s (als 0, [Bs 4. -3 %3D %3D 3 (a) Find w if S is the ...

A:

Q: Consider the function f(r, y) = 212 + ry – 6ry + 5x +2. (a) Show that (1,3) is a stationary point of...

A:

Q: 8. 1. x(コt00gx)

A:

Q: Prime Paints manufactures two types of paints, one for interior painting and the other for exterior ...

A:

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: B is correct answer

Q: Are the Hawkins-Simon conditions satisfied for the following cases: 0.8 0.2 1.2 03 (i) A = (ii) A2 %...

A:

Q: yes if it is. Otherwise, write no. Explain your answer. 1. Linear Functions 2. Quadratic Functions 3...

A: We have to check whether given function is continuous or not.

Q: Draw the block diagrams of both the direct forms I and II simulation diagrams for the systems with t...

A:

Q: Determine if following integrals are Lebesgue integrable log æ log(1 – x)² dx, /1 – x dx log x

A:

Q: 7. Let G be a group of order 45. Then (a) G has an element of order 9 (b) Ghas subgroup of order 9 (...

A:

Q: If (a, b) (а, с) 1, then %3D (a, b - c) = 1 This option (ab, c) = 1 This option (a, b + c) = 1 This ...

A:

Q: Find the equation of the straight line passing through two points (3, 9) and (4, 8). Does the point ...

A: The equation of a straight line passing through two points (x_1,y_1) and (x_2,y_2) is  y-y_1=((y_1-y...

Q: If b and c are real numbers and b < 3c, show that the equation x3 + bx? + cx = 2022 has exactly one ...

A:

Q: 8. In how many years will Php.17,500 accumulate Php.75,000 if invested at 10% compounded semi-annual...

A:

Q: dx 4-t x(0) = 1, solve for x(0.5) when h = 0.05 %3D dt t+x

A: As per the question we have to solve the following first order differential equation : dy/dx = (4-x)...

Q: Determine the Laplace transform o sin (8t + 붕). +64 -a +(a) #() +64 +64 O 43 #() 2+64 O 4v3 7+64 +(a...

A:

Q: (2.2) Consider the differential equation y = (6x – 2y – 3)1º (1) By making the change of variable u=...

A:

Q: 1. Find the sum of the interior angles of an octagon. 2. Find the number of sides of the regular pol...

A:

Q: Find the volume 3 in The first ootant in sicde The para boloid 2 -2-y=0 and below the aylhinder z-4=...

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

A:

Q: -31 cosh 2t 7. (a) 2e- sinh 3t (b)-

A:

Q: 6. (a) e' sinht (b) 3e2 cosh 4t

A:

Q: Find the olume of the solid cut Prom the sphere 8=2C@SQ by the Cone Z= Jx+ ý Ans/ T

A: The given question is related with triple integral. We have to find the volume of the solid cut from...

Q: Solve the congruence x6 ≡ 4mod(23) by using the primitive root a = 5. There are two solutions..

A:

Q: Question 1: Let v= . The linear transformation S: R² → R² is a reflection on the line that is spanne...

A:

Q: Find (220 + 330 + 440 + 550 + 660) mod 7.

A:

Q: If f(e) = cos(4t - ), what is the laplace transform of f (t)? = CO CHOICES: V3s 2(s+16) s2+16 B 2-3s...

A:

Q: d'y dy +9y = 6e* +7e* – log 2 6- 3x -2x dx? dx

A:

Q: Find the length of the medians of the triangle whose vertices are (1, -1), (0, 4) and (-5, 3) explai...

A:

Q: 2. Verify the Stokes's Theorem for the calculation of the work done by the vector field: F = (r,y², ...

A: Stokes theorem is verified

Q: The second order differential equation for the instantaneous position s(t) for the vibrating mass is...

A: Differential equation and it's solution

Q: Consider the periodic function f(t) with fundamental interval -7 <t< T that is defined by - IT for -...

A: The given function is defined as ft=−t−π  −π≤t&lt;0−π           0≤t&lt;π ft+2π=ft (A) To determine w...

Q: 7:x – 3a2 4 V4r8 – 3x6 + 5x

A:

Q: The Pl of differential equation (D²+1)y = sin 2x is %3D a) sin 2x b) sin x c) cos 2x d) sin 2x c) d)...

A: find PI (particular integral) by using rule  given (D^2 +1)y = sin2x

Q: You must determine the area of ​​a swimming pool, for this you have been given the measurements of t...

A: If the value of the function is given at (n+1) equally spaced points  x0, x1, ..........xn then the ...

Q: Determinants of Higher Order Find the determinant of the matrix given below using Pivotal Element Me...

A:

Q: convert 22 – 120° to rectangular f O1-3i O1+ v3i O-1+ v3i O-1- V3i

A: Given:Convert  2∠ -120° to rectangular f  

Q: Consider the differential equation y' -5x + 7y – 10 (1) By making the change of variable u=-5x+7y-10...

A: