Compute for dy dx

Q: A boat pulled Fed the Where through dock. The the with toward if the of beat the the approching 1)…

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Q: Using Cramer's rule to solve the following system of equations, what are ? 4x + 3y + 12z = -4…

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Q: Solve the following IVP: f'(x) = 4x - 1 given f(2)= 5

A: Given: f'(x)=4x-1, f(2)=5 We are required to: Solve the given differential equation.

Q: [3-R] [CLO 12] Give an equation for the line which passes through the point (−2, 5) and which is…

A: given equation of line passes through (-2,5) and perpendicular to line y=13(x+4)

Q: Determine ¹{F}. F(s) = 7s³-2s²-9s +18 3 s (S-2) Click here to view the table of Laplace transforms.…

A: Some important formula for inverse laplace transform÷ L-11s=1 L-11sn+1=tnn! L-11s-a=eat

Q: Oy- (240-x) O y -120+ x) Oy-(-240-x) y-(120-x)

A: When 2 functions are mirror image about the line passing from origin than these 2 function are…

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: given data : drdt=-04 cm/min

Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 1 1 4[44] A = -2 -1…

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Q: find the derivative of f(x) P X Sin X

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Q: Let z = f(x,y) = 10x² − 4xy + 25y². Find the following using the formal definition of the partial…

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Q: 3t² 14. ft csc2 zdt Туре. U= U' = =

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Q: 2. Consider f(x) = ax³ + x + 1, where a is a real-valued parameter. Find all possible values of a…

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Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: if ort XX tex the point He (0,1) find the Value of y

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Q: dy 1) (a) Find the equation that satisfies the following IVP: =.5y_y(0) = 20 dx (b) Find the IVP…

A: To find out the particular solution of the given differential equation.

Q: A spherical dust particle, with a radius a = 0.101 mm and density of 1320 kg/m³, is sedimenting in…

A: Given a spherical dust particle, with a radius a = 0.101 mm and density of 1320 kg/m³, is…

Q: Function with given infinite power series. x20 - 2 - + 5 28 x² 7 +

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Q: 15. Consider the curve y 9 X + 1 x-1 Find the x-coordinates of the points on the curve where the…

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Q: afdæ dx Find + C

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Q: 2. Jenny made $120 for 8 hours of work. How much would Jenny make for 40 hours of work? Use a…

A: Jenny made $120 for 8 hours of work. We have to find out how much Jenny made for 40 hours of work.

Q: lim 4 2+x X -2

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Q: Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the…

A: F(s)=∫0∞e-stf(t)dt f(t) = tet

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.08cm Diameter of hemispherical dome is 70 meter

Q: [18-R] [CLO 15] Suppose that f is a function. Give a formula for a function g, which is identical to…

A: Suppose that f is a function and a funtion g, which is identical to f , but translated 3 units to…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: y= 10x-x2 , y=x

Q: Use geometry to evaluate the definite integral: 4 10 6dx =

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

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Q: d²y at the given value of t to the curve defined below dx² x = t - sint, y = 1-cost, t = 3 Find the…

A: x=t-sint y=1-cost Differentiating x with respect to t  x't=dxdt dxdt=ddtt-ddtsint dxdt=1-cost…

Q: || 4 (x + 4) dx 0 4 2 = [= ² + 4x] 2 0² [( ½ + 4×4) − ( ½ + 4×0)] 2

A: The integral is given by ∫04x+4dx To determine: the value of the definite integral. Formula Used:…

Q: Arjun invests $2,855 in a savings account with a fixed annual interest rate of 2% compounded 12…

A: given invested amount, P=2855, interest rate, r =2%=0.02 n=12 times and time, t =6 years

Q: 4. Given the equation f(x) = a(x−p)² + a(x-p)² + q what does the a represent?

A: To write down what q represent in the given equation.

Q: use the given information to determine the equation of the hyperbola. Foci: (2,-2) and (2,8),…

A: Foci : 2,-2 and 2,8 Vertices : 2,0 and 2,6 Center of the hyperbola is the midpoint of the foci.…

Q: Use the method for solving Bernoulli equations to solve the following differential equation dy y * *…

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Q: Write the first-four terms of approximating In (1.5) using Maclaurin series.

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Q: Given the equation 4r²-2y²=9, show that dy 1

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Q: 4. Find two possible non-linear functions & and such that goh= √sinx-x²

A: To find the non linear function by the given composition.

Q: SITUATION 1: A plane region is bounded by the following curves: y = x² and y = -x + 2. a. Graph the…

A: since you have posted multipart question i can do first three question as per our company…

Q: Has 200 feet of fencing to enclose two adjacent rectangular corrals, as shown in the following…

A: A(x)=2x(200/3 - 4x/3)

Q: 2) The population of a certain city (in millions) x years since 1990 is growing at a rate modeled by…

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Q: use the given information to determine the equation of the ellipse. Foci: (±2,0), passing through…

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Q: Solve the initial value problem. (+2y²x) dx + (2x² - cos y) dy = 0, y(1) = x The solution is

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Q: 13) fx³ In(x) dx

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Q: Find the general solution to the differential equation. y = 3x5 y (x) = +C

A: Given differential Equation y' = 3x5

Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

A: The equation for finding the amount of drug in the patient's bloodstream after t minutes is,…

Q: Use finite approximation to estimate the area under the graph of f(x) = 6x² and above the graph of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: A molding machine produces 4-centimeter cubes of plastic. The volume of molten plastic needed to…

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Q: Consider the function h(t) = 6 ² + restricted to the interval absoluto max explain why. or min on…

A: The given function is: ht=6t3-2t This is restricted to the interval 0,8.

Q: 1 Find the probability that a randomly selected value of X lies in the interval [4, 6] if f(x) = 63…

A: Probability density function : f(x) = x263 To find: the probability that a randomly selected value…

Q: 8) Find the Taylor expansion of f(x) at the given f(x)=√x, c=4

A: Given that , fx=x , c=4 find the Taylor expansion of fx at the given c.

Q: Given sin A = -4/5, A in Quadrant III cot B = 4.5, Evaluate sin (A + B). A. 5/19 square root of 17…

A: sinA=-45, A in Quadrant IIIcotB=4.5, B in Qadrant III