9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

Q: 1 5 X If y = - find dy dx at x = 2.

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Q: Q1-Find dy / dx for the following functions : * -2 2.8ln2 Cosh9x, * Inxy 2 Y= 4 3 6. sino 5 log22…

A: We have to solve given problem:

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Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and…

A: Solution

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

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A: We have to Find the number of units x that produces the minimum average cost per unit C (with a line…

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A: The example of birthrates should follow Poisson's distribution where λi are the birthrates, since…

Q: Solve the initial-value problem for y as a function of x. (16 – x)- dy = 1, y(0) = 5 dx ((1 - D- -…

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Q: 2. The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent…

A: The solution are next step

Q: what is the derrivative of y^3 + y^2cos(x) = x^3 -3x and what points in the function for dy/dx does…

A:

Q: 1. Find the rate of y with respect to x at the point (5, 8) if 7y-ry 4. dy da

A:

Q: 7. what is the durivative oF q= arc cSc V1-3X %3D 3 Cz -Gx)I- 7 X 3. C2-6x)1-3x (-3x)-3x 3 C1- 3x)-3

A: First make it in simple trigonometric functions then diffrenciate it and just put all the given…

Q: a) Show that if y = V1 + sin x then =: %3D b) A manufacturer estimates that x units of a particular…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue…

Q: 11. f(x) = x² + 7x + 10 Opens up/down: Vertex: Axis of symmetry: Solution(s): y-int:

A:

Q: A clamped beam of length 3 is modeled by: y(4) = 24, y(0) = y'(0) = 0, y(3) = y'(3) = 0. Solve the…

A: The given differential equation is y4=24, with y0=y'0=0 and y3=y'3=0 Now we integrate the given…

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: 1 1 LGt-5- At²est + Ceisinh Dt = [(s – 1)3 ' s² + 2s – 5]

A:

Q: Solve the initial value problems for y as a functionof x. (x2 + 4) dy/dx = 3, y(2) = 0

A: Given Data : Differential Equation x2+4dydx=3, y2=0                      1 The given initial value…

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Q: Obtain the General Solution (x-1 )dx - (3 x -2y -S) dy = 0 MAM

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Q: 1) Find dy/dt for if : y = log2 (81'n 2)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: #18 & #19

A: 18. Area under the graph is the integral of the function over the given interval.

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A: Let's find.

Q: 1. e-st cosh t dt 2x +4 2. 2x2 + 21x + 34

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Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

Q: (x² + 4) dy 山 3. y(2) = 0

A: we know that ∫dxx2+a2=1atan-1xa+C,  where a>0 see below the answer and calculation

Q: solve the Initial Value Problem using Separation of Variables. y' = xy2, y(1) = 2

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Q: 4. Evaluate e*dx using integration by parts.

A: Explanation and solutions is given below.....

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Q: Find the marginal PDFS fx (x) and fy(y).

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Q: If a firm's marginal cost function is given by dc 0.1gq² + 100, dq %3D and the firm's output…

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Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

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Q: 1- Find the average rate of change for y == Xo = 1 X1 = 2 2- Find the instantaneous rare of change…

A: Application of derivatives

Q: t seel dx

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Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a…

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Q: Solve the initial value problems for x as a functionof t. (t2 + 2t) dx/dt = 2x + 2 (t, x > 0),…

A: t2+2tdxdt=2x+2⇒dx2x+2=dtt2+2t Now integrating on both sides, we get…

Q: Suppose that the marginal propensity to save is ds = 0.3 - dy (in billions of dollars) V 9y + 6 and…

A:

Q: 4x 28. If R = and errors in x, y, z be 0-001. Show that the maximum relative error at x = y = z = 1…

A:

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

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Q: Solve the initial value problems for y as a functionof x. (x2 + 1)2 dy/dx = √x2 + 1, y(0) = 1

A: x2+12dydx=x2+1⇒dydx=x2+1x2+12⇒dydx=1x2+132⇒dy=1x2+132 dx Now integrating on both sides, we get…

Q: Solve the initial value problems for x as a functionof t. (t2 - 3t + 2) dx/dt = 1 (t > 2), x(3) =…

A: Solution: Consider the given initial value problem is t2-3t+2dxdt = 1  (t>2) Now, separating the…

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Q: 16. If x x y and y x z, then how is x proportionally related to z?

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Q: Evaluate S 0 2-9.x² dx using the Gamma function.

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Q: If y = 2x³ +5 and dx = 3 then find dt dy when X = -2 dt

A: Given  y=2x3+5dxdt=3 To find dydt, when x=-2

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A: 8) We know that if F(x) is the cumulative distribution function of random variable X  Than…

Q: 12. Find the profit function for the given marginal profit and initial condition. dP = -40x + 290,…

A: Solve the following

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A: