Find the solution to the linear system of differential equations x'= -10x -9y y'= 6x + 5y satisfying the initial conditions x(0)=4 and y(0)=-3. x(t)= ? y(t)= ?

Q: 4. Evaluate the following limits. 3x+1 a. lim x⇒-2 2-x b. lim x³+27 X-3 x+3

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A: First we need to plot the graph

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A: Given that , z=-6+2x2+2y2 and z=8-2x2-2y2 find the volume of the solid.

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A: As per our guidelines we are advised to solve only first three subparts of the question.   Concave…

Q: Let p=25-√√x and C(x) = 290+4x, where x is the number of garden hoses that can be sold at a price of…

A: (a) Consider the given information. The profit function and the cost function is px=25−x and…

Q: What does the column 'b' represent?

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Q: cutting

A: A fraction denotes part of a whole. For example: 23 denotes 2 parts out of total 3 parts.

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A: A gardener has 840 feet of fencing in a rectangular garden. One side  of the garden is bordered by a…

Q: Suppose 4x² + 16y² = 100, where x and y are functions of t (a) If y, find when x = 3 and y = 2. de…

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Q: Please answer this question asap I will rate you for sure.   Classify the model as Exponential…

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Q: Find the derivative of the given function. (Remember to simplify the numerator of your answer, but…

A: z(t)=t2+5t+2t+7d dt(tn)=ntn-1d dt(ab)=b×dadt-a×dbdtb2

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Q: d² + a²y = 0 y dt²

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Q: Suppose R '(1) = 2. (a) If f(x) = R(6x), find f'(2) F' (1) = f (b) If g(x) = R(x + 5), find g'(-4).…

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A: The sum of two number is 500. The product of two number is absolute maximum.

Q: How to find inflection points of f(x) not inflection points of f'(x)

A: Given the graph of f'x, to find inflection points of fx.

Q: Suppose that interest on money in the bank accumulates at an annual rate of 6% per year compounded…

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Q: -8 -7 -6 -5 -4 -3 -2 -1 8 7 6- 5 4 3 2 6 7 8 1 2 3 4 5 5 6 ind the area inside the circle x² + y² =…

A: We have to find the area according to the given information

Q: Let x = 2.99999.... (a) Is x 3 x = 3 O x < 3 and x = 3 O It cannot be determined. (b) Sum a…

A: Solution: Given data, x =2.999999....

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 2x² +…

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Q: 9. f sin(In x) dx

A: The given integral is Sin(ln x).

Q: A = 1 -5 1 -3

A: Given: Find the general solution to the system x'= Ax, where  A=1-51-3

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A: We have to find the indefinite integrals.

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A: Let g(x)= tan-1(x2)-ln(1+x4). Find the equation of tangent line to y= g(x) at x=1. Simply the answer…

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Q: Given that is a random variable having a Poisson distribution, compute the following: (a) P(x = 1)…

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Q: = = 2.3219andlog, y = 2.8074. Given log, a Evaluate log, a

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Q: Compute the limit In(n²) lim n→ In (2n)

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Q: 59. lim (x - 1)Inx X-1+

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Q: Find the absolute maxima for the function: f(x) = 6 x+ sin (6 x) on the interval [0, 2 π].

A: We have  fx=6x+sin6xx∈0,2π

Q: Find the linearization of f(x, y) = x² - xy ++3 at the point (3, 2). ,2 2

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A: Need to find out the global maximum and global minimum of the function on the given interval.

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Q: Consider the linear system y' = Aỹ with (a) Find the general solution. 1 4 = (-5₁3) A -1

A: To find the general solution of the linear system y' = A y, we first need to find the eigenvalues…

Q: (6) In this problem we will determine a formula for the volume of a pyramid with height h and a…

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Q: Consider the function f(x) = 3x³ - 4x on the interval [-3, 3]. Find the average or mean slope of the…

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