Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize: subject to: with: x₁ and x2 nonnegative X1

Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

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Q: Find the sum of the series: n=0 x7n-6 n!

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Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

Q: The temperature of a patient t hours after taking a fever reducing medicine is T(t) = 98 + 8/√t…

A: Here i have find the answer upto 4 decimal place.

Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: The line L with symmetric equations I+3 y-3 2-2 3 3 2 P(3,-3,-2). = passes through the point

A: Given line , x+33=y-33=z-22=k                                                     (1) If given line…

Q: can you please write it clearly for better un

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Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: Solve DU 11 dx 4x+3 x³ +2x² + x

A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: Evaluate the integral. 5x² √ 3²-x² dx

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Q: Let à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.

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Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Evaluate the following integral. 22x² S= x4-61x² +900 Find the partial fraction decomposition of the…

A: An indefinite integral is provided. We have to evaluate it by using the partial fraction…

Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: To find cross product.

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry

Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

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Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: Solve the initial-value problem. dy = dx 4 √x for x ≥ 1 with y(1) = 3 The solution to the…

A: You must have idea how to find solution for differential equations.

Q: ate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Integrate (sinx + cos^2x)^3 dx

A: To evaluate: ∫sinx + cos2x3dx Let I = ∫sinx + cos2x3dx ⇒I =…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.

Q: Let à . Find al.

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Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: a.) S (t² – 9) (4 – t²) dt from 2 to 3 b.) fx dx from 1 to 2 c.) f (x² - d.) f sin 0 de from 0 to…

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Q: Let à = (4, — 5, — 4) and 6 = (2, — 5, 0). Find a - b

A: Let a =&lt; a1,a2, a3 &gt; b = &lt; b1, b2, b3&gt;  Then,  a.b = a1b1 + a2b2 a3b3

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw with x = cost+ sint, y = cost -…

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Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: Find all the values of x such that the given series would converge. (8x)" n11 n=1 The series is…

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Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: we can complete the table.

Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Consider the function f(x) = (4x² - 64) ³ on the interval [-7, 6]. Find the absolute extrema for the…

A: Given: f(x)=4x2-6415, -7,6

Q: x²5 - - 5y = x + 1 is non-homogeneous second order differential equations dy² with constant…

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your…

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(?) and y = r sin(?), and note that (x,…

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Q: Find the value So X (x²+1)= dx

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Q: x(t) Find a plane containing the point (-4,3,-8) and the line y(t) z(t) = 8 - 3t 7 + 4t -8+ t

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Q: 3x 2. y = Ae³x cos x+Be³x sinx

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Q: Evaluate the improper integral or state that it diverges. ∞0 S 125 dx 3 Select the correct choice…

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