Rearrange the objective function G = 3x₁ + x₂ + 2x3 so that it can be maximized inside a simplex tableau. (You may assume x1,x2, and x3 are all nonbasic variables.)

Q: Which of the following is not a way for a derivative to fail to exist? c. vertical tangent d.…

A: As we know If function discontinuous at a point x=a,then there must be non differentiable at x=aSo…

Q: (e) [₂ -2 xVx+2dx U = x+2 du = 3 (1) fe el/x x2 -dx

A: SOLUTION-

Q: J x ln x dr

A: Given query is to find the integral.

Q: Use the table of frequently used Taylor series to find the sum of the series. 22 76 I 2².21 24.41…

A: Given: 1- π222.2!+π424.4!-π626.6+... To find: the sum of the given series

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A:

Q: Convert y = 29 z² to polar coordinates in the form: r is a function of 0. r =

A: Given,            The rectangular coordinates is y=29x2.To find : Convert rectabgular to polar…

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: fx (2x+5)³ dx

A:

Q: Use the limit definition of the definite integral to determine the value of the definite integral…

A:

Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: ferinz 6.³ cos xdx esin x www cos xdx hace values. +C

A: Let's solve given integration.

Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below.

A: A. Find f(g(x)) and simplify    B.  Find the range of y= f(x) - g(x)

Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x…

A: Solve

Q: Problem x²¹-2x+2 dx x² I Solution

A: Given query is to find the solution of the integral.

Q: Find the area under the curve y = 4x³ over the interval [0, 2]

A:

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: given  c'(x)=26x+8given  total cost of producing 39 units is $23,609∫xndx=xn+1n+1+c

Q: (b) Use Laplace transform to solve the following systems of equations y' + x = e³t x' - y = 0 1 x(0)…

A: Let's solve given two parallel differential equations.

Q: Find the critical point(s) of the function. f(x, y) = x³y + 12x² - 8y +5

A:

Q: For x > 0, the function F is defined by Find F'(x): - Lo (³ +5³) dy In(x) F(x) = F'(x) =

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Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: 8. 2 x²+2x+4 x +1 dx

A:

Q: Find the general solution of 2y'' + 2y' + 1 = 0

A:

Q: Simplifying the logarithmic expression log, b³ - 3 log, a + 5log, a¹b will give you m+nlog, a The…

A:

Q: in triangle,p is the midpoint of side bc and cq=1/3ca prove that 2 vectors bc+ vectors ca+ vectors…

A: Given: in triangle,p is the midpoint of side bc and cq=1/3ca To find: 2→bc +→ca+→ba=6→pq

Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A:

Q: The function defined by f(x) = ax² + bx + c has a relative extremum at (1,7) and the graph of f…

A:

Q: (x) = [*cos(t¹) dt, then g'(x) cos(x7) — sin(x7) — sin(77) + sin(x²) cos(77) - cos(x7)

A: Given query is to find the derivative.

Q: Find the Taylor series, centered at c = 3, for the function 1 1 - x² f(x) = (-1)^(4n-3) 8hn! The…

A:

Q: got

A:

Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

A:

Q: b. lim 2 sin(x-3) x²-3x

A: The given limit limx→32sinx-3x2-3x. We have to find the limit.

Q: 4. Find the arc length of the parametric curve x = t. sint y = t· cost 0 ≤t≤1

A:

Q: 4x² √3-16x³ S- dx

A: Given query is to find the integral.

Q: Evaluate the definite integral √³ (e-te C (et cos(t), et sin(t)) dt

A:

Q: Determine whether the following series converges. Justify your answer. 80 Σ 1+ k=1 1 14k k (...…

A:

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y B) Write the equation for the tangent…

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Q: x/6 S 0 cos 9x dx

A:

Q: Question 25 Determine the correct end behavior of f(x) = -4x³ - 2x²+2x+3 A B C falls to the left and…

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Q: Find the derivative of f(x) = 2g³x - 1

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Q: Determine the largest open intervals of the domain over which the function is A. Increasing B.…

A: From the graph  function is not increasing anywhere . Decreasing (-∞ , -3 ) ∪ ( 4 , ∞ ) Constant on…

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: 7. Find all the relative extrema and saddle point(s) of the function given by f(x, y) = (1 +…

A: We have to find the relative extrema and saddle points of the given function.     According to our…

Q: Evaluate the following line integral along the curve C. (x-y)ds; C is the line segment r(t) = (t,…

A: Solve the following

Q: A. 13 J 0 1 +2x)² dx

A:

Q: formula Use the appropriate compound interest to find the amount that will be in each account, given…

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Q: (5) The marginal revenue, P'(x), for selling x units of a product is given by 40 e0.1x Find the…

A:

Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

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

Q: he area under the curve y= 3 X over the interval [1, 3]

A: Given query is to find the area under the curve.

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 2a cos 0 9π X π π

A: To find length of polar curve.

Q: 1. Evaluate the line integral where C is the half circle x² + y² = 1, y ≥ 0. 1²+y² ds

A: