2) Min Z = 5x1 +6x2 X1+ 9x2<60 2x1+3x2 <45 5x,+ 2x2220 Sub. to X1, X2 20

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: how many intergers solutions to x1 + x2 + x3 + x4 = 29 are there for which x1 ≥ 5, x2 ≥ 2, x3 ≥ 6…

A: The given equation is -  x1 + x2 + x3 + x4 = 29 where x1 ≥ 5, x2 ≥ 2, x3 ≥ 6 and x4 ≥ 5 We have to…

Q: 5. Find the on the interval [0, 4]

A:

Q: How many iterations (n )necessary to solve the f(x) = x-4x² 9 = 0 in [5, 6], using Bisection-method…

A:

Q: O max(x,z) О тах(хә 10xz + 3x + z suисh that 3 > 6х + 3z. О mincә 10xz+ 3x + z such that 3 6х + 3z

A:

Q: 2. use Bisection method to find root for equationf(x) = , in %3D intervals [1,7]

A: We have to find the approximation of the root of the function fx=1x-2 using the bisection method in…

Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

A:

Q: Solve through finite differences with four subintervals: + y = 0, y'(0) + X(0) = 2, dr² x ( + 7) + (…

A:

Q: 2. Differentiate: y=7*in¨"x

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: +prove by indirect method that if X+y>5 then x>2 or

A:

Q: a) Lin 5) x2+2y2

A:

Q: iven by 5x3 at x = 1 is: %3D

A:

Q: Suppose X,~ Uniform(0, 2) and X, ~ Uniform(0, X,). Find E[2X,+X,].

A: Given,X1 ~U(0,2)X2 ~U(0,X1)E(X1)=2+02=1E(X2)=X1+02=X12

Q: Find Doma'n raye -3 x2-s x x 7-5

A:

Q: if 5. 1.6x* +4.3 コつ dy ニ

A: We first write y using exponents. y=1.6x2+4.35y=1.6x2+4.315

Q: to S=2. %3D

A:

Q: The Saint Vincent Hotel and Leisure determines that its total monthly profit P(x), in hundred…

A:

Q: 2. alak S 6sin"xcox dx

A:

Q: 6. Find f'(1) if Ax) = nx

A:

Q: By using the interpolation method, what is the approximated min. value of f(x) : = 2x?-12x-8 in 4…

A: Given: f(x)=2x2-12x-8 in 4 iteration with initial x=1

Q: Show that 1/3  Tn +  2/3 Mn  = S 2n

A:

Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

A:

Q: 8) Find x if mZTUV 70°, mZDUV 6x, %3D and m2TUD= 4x+ 10. %3D D

A: Given  m∠TUV=70∘m∠DUV=6xm∠TUD=4x+10

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: Suppose that x, y and z are three positive numbers whose sum is 100 If P denotes the product of the…

A: Given,           Suppose that x,y and z are three positive numbers whose sum is 100.           Also,…

Q: Calculate x in degrees. [20] 6x -10° 4x + 6° 7x +14°

A: The Given line is  a straight line. So, the sum of angle will be 180°. or…

Q: A and B are working seperately can do a piece of work in 9 and 12 days respectively.if they work for…

A:

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

A:

Q: 2) Find the length of the shortest ladder that can pass over a fence 1.8 m high and reach a wall 3 m…

A:

Q: Consider (x8+ 8x5+ 16x2) ² -dx. Using u-sub

A: Given: - The integral is, ∫x2+1xxx8+8x5+16x22dx To find: - The values of k and n. By using…

Q: 1. Find two non-negative numbers such that the product of the first squared and the second is 108…

A: 1) Given data:   The given expression for the product of the squared of the first number and the…

Q: Determine the upper bound on the error in the approximation – 16x5 + 256x° if |x| < 0.2 - 1+16x4

A: Given:x1+16x4 ≈x-16x5 + 256x9

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: 2. Find the limiting values of 3x2 + 5x-4 (i) 5x? - x +7 as x → 00

A:

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: of th

A: Option B is correct.

Q: Find the sum of all the critical numbers of f(x) = 2x3 +3x2 – 36x +8 -

A:

Q: By using the Bisection method, Compute the number of iterations to quarantee the error less than the…

A:

Q: 5.Find h(-), if 4x* – 3x2 + 2x – 2.

A: Given: hx=4x4-3x2+2x-2

Q: Estimate ∫4/0 x^2dx using left endpoints for n=6 approximating rectangles. ∫4/0 x^2dx is…

A: f(x) = x2Range is x = 0 to x = 4Nos. of approximate rectangles, n = 6Hence, width of each rectabgle…

Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

A:

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.5x2 −…

A:

Q: The sides of a rectangle are (x + 1) mand (2x + 5) * m . If the perimeter is 36 m, find the value…

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Q: 6. Theorem X = 83 M (9x + 40)

A:

Q: дх and if ry + y2³ + zr' = 7 ду дх Find дт

A: We have to find the partial derivatives w.r.t x and y.