Find dy dx , where y = ex-e-x ex te-x y=- show that e30540 x2sinx dy dx 1-y²

Q: Find the fundamental solutions of the following system of differential equations.) {= x = x - y y =…

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Q: Calculate all four second-order partial derivatives and check that fry fyz. Assume the variables are…

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Q: Determine the force in each member of the loaded truss. The forces are positive if in tension,…

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Q: Graph the solution set. x-3y > 9

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Q: Find the directional derivative of the function z(x, y) = ln(x²y) – sin(x² − y) at the point…

A: Given:The function zx , y=lnx2y-sinx2-y and point Pπ4, -π4 . To Find: Direction derivative on the…

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

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Q: 1. Consider the following linear system and use CRAMER Rule to solve the system: (0.3x₁ +0.52x2 + x3…

A: Given: Linear system-0.3 x1+0.52 x2+x3=-0.010.5 x1+x2+1.9 x3=0.670.1 x1+0.3 x2+0.5 x3=-0.44To find:…

Q: Let V be the set of all positive real numbers. Determine whether V is a vector space with the…

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Q: For the four pairs of sets below, determine whether or not they are equipollent. i.) {2, 5, 10} and…

A: We have to find the equipollnt sets from the given pair of four sets.

Q: Find the Fourier Transform of: f(t)= sinnt for 0≤tsl 0 otherwise

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Q: Let D and H be the following matrices.          [-8 ] D=    [ 8 ]          [ 1 ]          [ 9 ]…

A: The difference between two matrices is only possible if both have the same order. As both H and D…

Q: {a,b,c,d), T₁ = {0, x, (a), (b}, {a,b}, {a,c}, {a,b,c}} {a}, T1 Let X = and T2 {0, X, {a}, {c},…

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Q: Let A, B, and C be the following matrices. Find the products AC and BC. Are they equal? AC = 9 6 10…

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Q: Calculate the minimum value of 9x + 6y subject to the following contraints: x + y > 22 x + 2y > 27…

A: we solve this LLP by  graphical methods.

Q: Determine the force in each member of the loaded truss. All triangles are equilateral with side…

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Q: 5. y(y² + 1)dx + x(y²-1)dy = 0

A: According to guideline we need to solve only first question. Rest of the question should be…

Q: 062 REPLICA OSZ ODZ 092 0/2 087 Find Y₂ given Y₁ OEZ OZZ 018 = 8X-1 1 SHATTER RESISTANT 00Z W[4₁742)…

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Q: Let Q be a solid bounded by the cylinder x² + y² = 4, the plane x + z = 6, and the xy-plane. Use the…

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Q: Calculate the limits of the real-number 3n+4 5n+6 an and bn = sequences (an)neN and (bn)neN, where…

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Q: Let H be the matrix below. 6 2 7 H Find the indicated quantity. HT

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Q: Which of the following families of real functions are algebras of functions? (For each, either show…

A: Given Data: We have to find: i. Polynomials of degree at most 2. (That is, polynomials of the form…

Q: Q1.2: Show that the following first and second order wave equations are hyperbolic in nature ди ди…

A: ∂u∂t+c∂u∂x=0 and ∂2u∂t2=c2∂2u∂x2

Q: A population of values has an unknown distribution with = 206.2 and o= 76.7. You intend to draw a…

A: We have to solve given Questions.

Q: 3. Construct a convergent sequence (n) and a bounded sequence (yn)-1 such that both (n + yn)n-1 and…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Suppose y= f(x) is a curve that always lies above thex-axis and never has a horizontal tangent,…

A: Given: y=fx; dy5dx=80dydxTo find: The value of y which satisfies the given relation.

Q: Find the matrix element d13. D =           –10 –5 –7 3 –14 –8 1 –20 13 15 12 7 9 8 –9 2 –4 16 24…

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Q: 1/ y"아재 아재 -e [5%-11]

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Q: Each item a firm makes costs $9 to manufacture. If the items sell for $21, and the firm's fixed…

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Q: Find the limit (enter 'DNE' if the limit does not exist) 1) Along the x-axis: 2) Along the y-axis:…

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Q: Using the appropriate substitution, what is the homogeneous form of the given ODE. (x - 2y + 4)dx +…

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Q: X Z=1 R N -x=ln4 Y Curve C x=In2 Consider a structure D with a curved solar panel wall that is…

A: length of arc of a parametric curve given by   x=f(t) , y=g(t)  from t=a to t=b  L=∫abf't2+g't2…

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

A: Draw the region bounded by y=5x2 and y=5x. Draw a line segment PQ across it  parallel to the axis of…

Q: Prizes are to be given to different people in a group of 18. In how many ways can a first prize, a…

A: Use the given information.

Q: What is the distance of the point (7, 2, 8) to the line through the points (-3, 0, 1) and (1,-4,-1)?…

A: We know,             Equation of the straight line passing through the points (x1, y1, z1) and (x2,…

Q: Q-5) A= (2-7] B= [1 0-3; 5 3 1] a) What should be done to display the -7 element of the array A…

A: Q-5) A= [2 -7] B=[1 0 -3; 5 3 1] (a) We will use MATLAB to display the -7 element of the array A (b)…

Q: ormulate a linear programming problem that can be used to solve the following question. An airline…

A: Given: There are three types of airplanes that can provide transportation for a minimum of 70…

Q: 1. Use the definition (e-6) of the limit to show that lim f(x,y) does not exist for xy f(x,y) |ry|

A: According to Bartleby guidelines, Since you have posted multiple questions, we will provide the…

Q: Write each of the given numbers in the polar form rei- < 0 <T. 4-i 7 (a) T= (b) -47(6+ i√3) T= (c)…

A: The given complex numbers, a) 4-i7 b) -4π6+i3 c) 1+i6 We have to write each complex number in polar…

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 4x…

A: The given linear programming problem. maximize Z=4x+y Subject to the constraints,…

Q: Consider the equation of a tractrix (a) Find dy/dx. (b) Let L be the tangent line to the tractrix at…

A: Given: Equation of a tractrix is y=asech-1xa-a2-x2 ,a&gt;0. To Find : a) dydx b) When L intersect…

Q: Find the order of the matrix.           –12 –24 11 –10 10 –5 3 9           _____ ⨯ _____

A: -12-2411-1010-539

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: colin has a past due rent of 14,498 his new rent is 1195 a month for the next year. if he breaks up…

A: Colin's previous due is 14,498. So, if he breaks up his past due balance equally for the next year,…

Q: i) a horizontal plane, (ii) the plane consisting of points satisfying the condition that x = 0 (aka…

A: As your Que has more than 3 subparts we shall solve first three subparts only. For others kindly…

Q: (d) Let x be the complex number 1-i. Use de Moivre's Theorem to find the smallest n E N such that x"…

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Q: The temperature of points in space given by a scalar field is = x² + y² - z T(x, y, z): = a. Find…

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Q: Let A = {3, 4, 5, 6, 9}, Write down each of the following sets. (a) An B. (b) {b-2: be B and b+ 2 &…

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Q: 24. Construct the image of GH after a rotation of 180° clockwise about point D. Leave all…

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Q: a) Consider the function g(x) = f* f(t)\ dt, where a is a constant. i. With the aid of a diagram…

A: The given function is, gx=∫axftdt. (a) To Explain: the relation between g and f. (b) To Find: g'(x)…

Q: Point P(3t2, 6t), where t > 0, lies on the parabola y² = 12x. (a) Show that the equation of the…

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