Solve the initial value problem by Laplace y" +4y=20 e y(0)=3, y'(0) - 12

Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

A: We need to find y'(x).

Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

Q: Solve the given differential equation by undetermined coefficients. y" + 6y' + 5y = 10 y(x) =

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Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: Find the derivative of the following function. f(x) = sinh 16x

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Q: Point Line (-7, 1) x+y=8 Exercise (a) Write an equation of the line through the point parallel to…

A: This question can be solved using the concept of point slope form of a line.

Q: 11) The inequality 3x-2 0 3x² - 9x x-2 d. <0

A: Given, 3x-2&lt;x+4x-2

Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: 1 Q BAS 6 2 [//dx Which of the following is the integrand in the definite integral above? Select the…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: The objective of the question is determine the critical point and intervals in which function is…

Q: h tin tly Suppose that the graph below is the graph of f'(x), the derivative of a function f(x).…

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Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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Q: Give the order and degree of the following differential equations. Differential Equation 2 (d²y) dy…

A: Answer and explanation is given below...

Q: Please

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Q: 2) Evaluate |x + 11 dx

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Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

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Q: the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under…

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Q: According to Fermat's Theorem: If f has a local maximum or minimum at c, and if f'(c) exists, then…

A: To give two examples (one of each) of specific functions f and values of c that demonstrate the…

Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: The solution is given below

Q: 12 0 6 <<← ?° Q

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Q: (e) Find the linear approximation of the function f(x, y, z) = x³ √√y² + z² at the point (2, 3, 4)…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: We have to find solutions

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Find the vertical asymptotes of the function Then graph the function. Y x² +1 3x - 2x²

A: The given function is y=x2+13x-2x2

Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Find two positive real numbers x and y such that their product is 2450 and x + 2y is as small as p…

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Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

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Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: Find the area between the curves. x = -5, x=2, y = 2x² +5, y = 0 The area between the curves is…

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Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 –…

A: Here is the solution:

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

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Q: Use the graph of the function f(x) to locate the local extrema and identify the intervals where the…

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Q: Solve a part only

A: Given the function y=2-xx2 Here, student asked part a) only, hence we are answer part a) only.

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (19, 9, -2) Vw(19, 9, -2) =…

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