Suppose the productivity P of an individual worker (in number of items produced per hour) is a function of the number of hours of training t according to 95t2 P(t) = 9 + t + 3,468 Find the number of hours of training at which the rate of change of productivity is maximized. (That is, find the point of diminishing returns.) X hr

Q: (i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine th...

A: (i).

Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. 1 A = - 3 -4 ...

A:

Q: Using only e's and d's, and without using any limit rules, prove that x² – 6x+7 lim = 2. Definition:...

A:

Q: Find the number of permutations of the letters in the word COEFFICIENT provided that all words start...

A:

Q: 13. Find the slope-intercept equation of the line pas sing through the point 2. 1) with a slope of m...

A: Q. 13 we have to find the slope intercept equation of the line passing through the point (2, 1) with...

Q: 8 5 In the following, let A denote the coetficient matrix in (1). a) Compute the 1-norm of the matri...

A: M

Q: Q.12. WHICH OF THE GIVEN BELOW ARE ALWAYS TRUE? MAY BE MORE THAN ONE RIGHT ANSWER 1. If A is diagona...

A:

Q: Solve the following Laplace Transform of Algebraic Expression: 5. Finf the L t?e-3t ? Show Solution.

A:

Q: 3. Solve the following systems of equations. 4y + 3z = -7 12x - 3y + z = -7 -6x + 2y - 2z = 12 4. Di...

A:

Q: QUESTION 2 1 2 3 4 5 6 7 8 1 2 3 4 5 678 = 3 8 4 1 6 7 25 %3D T = 6 4 1 2 7 853 1. Write each of the...

A:

Q: 3. Solve the the initial value problem, y"(t) – y (t) = cos(2t) + cos(2t – 12)u6(t), y(0) = -4 , y (...

A:

Q: Find the value of a - b. (Answer must be an integer) ea s+b Your answer

A:

Q: X 3x + x*+ 2

A: # (a) part seems incomplete. Therefore solving the second part The given function is limx→∞x4+3x3+x2...

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A:

Q: Suppose T is the transformation from R2 to R2 that results from a rotation by a/2 followed by a y-co...

A:

Q: (D2 -3D+2) y = e sin (e") - 2

A:

Q: One ladder is leaning against a wall so that its base is 4 ft from the wall and it reached a height ...

A: A triangle is a plane figure with three angles and three sides. If three sides of a triangle are pro...

Q: are harmonic. be a simple closed contour described in the positive sense, 18.6. Let and write g(=) =...

A:

Q: 0, 4. Consider the function f defined on (–x, ), ƒ(x) = —л an cos(nx) + b, sin(nx). 2 n=1 (a) Deter...

A:

Q: The Laplace Transform of the figure below is in the form as shown. Find a - b. Answer must be an int...

A:

Q: You and your classmates want to earn extra income this summer. To do this, you will sell Summer Fun ...

A:

Q: Find the value of a + b + c + d. (Answer must be an integer) The Differential Equation 2y"' + 3y" – ...

A:

Q: For each of the following functions defined on the interval (0, 7): (a) Find the Fourier sine series...

A:

Q: Quèstion 2 Determine whether the given sequence converges or not. If it converges, find its limit. n...

A:

Q: 14. S4 cos (-3x + 2) dx

A:

Q: fer)=X-8. .25+ X² 2 What is the derivative of the following equation?

A:

Q: Exercise 1: Directions: Evaluate the following integrals. Show your complete solutions. Identify the...

A:

Q: Let k be any positive integer. Use induction to prove that for every integer n ≥ 0, kn+2 + (k + 1)2n...

A:

Q: The equation of motion of a mass is given as: y= (0.51)e 0.-(0.01)e.2. where y is the displacement o...

A: The Newton-Raphson method uses the formula: tn+1=tn-f(tn)f'(tn) to perform the iterations and to app...

Q: Solve simultaneously y (t) = 1 – a"(t) z' (t) = 2y (t) a(t) = -y(t) where x (0) = 2, x' (0) = –1, y ...

A:

Q: Show complete solution how you obtained rị and r2 If ri r2 then put r¡ as exponent of the 2nd term ...

A:

Q: Let F = Q, s(x) = x² + 1, and E = Q[r]/(x² + 1)Q[x]. i) Factor the polynomial r? +1€ Q[r] into linea...

A:

Q: Use the substitution t = -x to solv

A: Given,          4x2y''+y=0,  y(-1)=6, y'(-1)=2

Q: A supplier supplies coffee beans to Coffee Academy, Jelly Bean, Moon Bucks in bags of 5 kg, 10 kg an...

A: Given: The cost price of 5 kg, 10kg, and 15kg bags are: $10.40, $18.50, and $25.80.We have to write ...

Q: Consider the homogeneous ordinary differential dy dy equation x2 dx? 3x dx + 3у — 0, х> 0 - with y(x...

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: tion 1 1) Write the next three terms of the following sequences. 3 4 5 Ка) 2, 4'9'16 ' ... a1 =2 (b)...

A:

Q: 3. Using Newton- Raphson method, find the real root, correct for three decimal places, of the equati...

A: Here  sin(x) - x/2 = 0Let  f(x) = sin(x) - x/2 ∴ f′(x) = cos(x) - 1/2 Let x0 = π2 

Q: (D3 + D² + 4D + 4) y = 0 ; y (0) = 2 ; y' (0) = –4 ; y" (0) = 2. Find y (7)

A:

Q: Given f(x, y) = x²y – 2xy + x² – 2x + y² – y. (a) Find the critical points of f. (b) Use the Second ...

A:

Q: A tank initially contains 180 L of pure water. A mixture containing a concentration of y g/L of salt...

A:

Q: Find the general solution of y'"' + 2y'' – 8y' = 6 sin(4x) Put your answer in the form y = C1æ" e"1#...

A: We find the general solution of  y'''+2y''-8y'=6sin(4x).....(1)

Q: Example 6. Find the Fourier transform of f (x) defined by 1, |x| a and hence evaluate f(x) sin s ds ...

A:

Q: 1. Separation of Variables for PDES. Use separation of variables to find, if possible, product solut...

A:

Q: prove that there exists a unique positive real number,x, with the property that x2=x.

A:

Q: 2-16 4. lim X-4 x+4 Vx-4 5. lim I-4 X-4

A: a). Consider the limit limx→-4x2-16x+4. Observe that the function is undefined at x=-4 since will be...

Q: Q5. Find the Laplace Transform of the funcetions x(t) and yit), which satisfy the coupled first diff...

A:

Q: Find the smallest value of k, k EN, for which the average value of f(x) = 12 x +k %3D on the interva...

A:

Q: et+e-t f(t) : e 2t the laplace transform of this function is? %3D Select the correct response: O (3s...

A:

Q: dx 1+ax log 1-ax Evaluate x 1-x

A: