K Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A= x(t) = 1 1 1 10 0-19-1 0 1 ....

Q: A dam having a width of 500 m is holding back a column of water of height H meters. The total force…

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Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Find the dot product and the angle between the vectors, ū and v. 2. (3,-5), (7,4) 3. (-3,0), (5,7)…

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Q: -6-4-2 8 6- 4 2+ -2+ 2 4 se the graph to determine lim f(x). x-3+ 2. limit does not exist 3. limit =…

A: Given query is to find indicated limit.

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Determine the second derivative of the parametrically defined curve represented by the equations (t)…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: 2. [xc xcos 3xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: 5. Evaluate the integral using the following: . Formulas: a. [²x²³ dx = 4/7/ [²³x³dx x³ dx b. L'a…

A: To evaluate the given integrals.

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: What is the minimum possible perimeter for a rectangle whose area is 100 square inches?

A: Given query is to find the minimum possible perimeter.

Q: Obtain a series representation for f(x) = x²e in powers of x. Specify the region of convergence.

A: Please see the below picture for detailed solution.

Q: Write the composite function in the form f(g(x)). [Identify the inr y = tan(x5) (f(u), g(x)) =…

A: Solution: Given data, y = tan(x6)

Q: Suppose a car is traveling at 50 km/hr, and that the positive y-axis is north and the positive…

A: The given problem is solved below in detail.

Q: Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D…

A: we need to graph the polar coordinates and have to label them.

Q: 0 dx=

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Q: 3. Using vertical Shrinking and stretching, sketch the graph of the given functions in the same…

A: I have solved step by step in detail....go through the solution

Q: Evaluate the definite integral. 25   0 9e   x   x dx

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Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: x(t) = Convert the line given by the parametric equations y(t) z(t) Enter the symmetric equations in…

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Q: Question Find all points on the curve defined by the equations (t) = 5+4√t and y(t) = 4t - 4 with a…

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Q: A consultant estimates that the total weekly computer usage by the company employees to be:…

A: Given query is to find the computer usage for first 14 weeks.

Q: 8. Given P(3, -9) and Q(0, -3), find the component form of PQ and PQ.

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Q: Consider the following functions. f(x) = g(x) = 2x + 8 X Find (fog)(x). Find the domain of (fog)(x).…

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Q: the total area of the region described. Do not count area beneath the x-axis as negative. bounded by…

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

Q: Please write in a better format. I do not understand how the problems is developed when letters and…

A: To determine the second derivative of the following parametrically defined curve.xt=2 sin3tyt=-cos3t…

Q: WRITE THE RATIO up! 3 I Tic 3 DIFFERENT WAYS •4:3 प 14.4 to 3 5.7 ARE FIND 3 EQUIVALENT RATIOS 14 3…

A: Please see the below picture for detailed solution.

Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  the equation of…

Q: blem 3. : Use the Comparison Test to determine w 1 Σ In(n) n=2

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Q: If the supply and demand functions for a commodity are given by 6p -q = 60 and (p + 2)q = 4830…

A: given  6p-q=60.......1           (p+2)q=4830........2from equation  1,   q=6p-60  put in euqation 2

Q: 57-58 A particle is moving with the given data. Find the position of the particle. 57. v(t) = 2t -…

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Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

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Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

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Q: 4. y(2xy² − 3) dx + (3x²y² − 3x + 4y) dy = 0

A: Given differential equation y( 2xy2 - 3 )dx + ( 3x2y2 - 3x + 4y )dy = 0 standard form Mdx + Ndy = 0

Q: Given ƒ'(x) = 3xª − 4x³ + 7. Determine which interval the graph of f is concave downward. (a.) 1<x<3…

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Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

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Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: Use a calculator to convert from rectangular to polar coordinates with positive r and 0 ≤ 0 < 2л…

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Q: Solve the FIRST ORDER LINEAR D Linear in r sin e dr de -1 - 2rcos 8

A: We have to solve  thegiven   First order linear differential equation  which is linear in r.

Q: If fºrex f(x) dx = 12, what is the value of A) 12 B) 0 C) 6 √ [ ƒ(6-x) dx? D) -6

A: If  ∫06fx dx=12, then to determine the value of ∫06f6-x dx.

Q: 5. Carl wants to invest P50000. His friend advises him to invest in three types of accounts: one…

A: Given  Total invest amount = P50000 Let the invested amount in 3% account is x The invested amount…

Q: State whether the given sums are equal or unequal. Σf ² and 1² j=1 k=1 O Equal O Unequal

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Q: 1. Consider the sequence an = cos² 3πn² n²-5 a. Does the sequence converge, or not? If it is…

A: To determine whether the given sequence converges or not