Lec 4.1: e Js Estimate with n Hhe aceuracy of 10t Brsection' Method and decidny applyning on b. De cide f (x)'. a end Proufde X,X2 and the rest by hand a table on

Q: Let f(x) = 5x 752033 Then f'(x) And written as a decimal to three decimal places, ƒ'( − 4) = =

A:

Q: Suppose that the demand D for commodity is estimated to be -0.280.34 D = Ap,m" (A+0) where p, is the…

A: (a) The price elasticity of demand is defined as the ratio of percentage change in Demand and…

Q: Use the following information to answer the question. ƒ(3) g(3) = 4 = 4 f'(3) g'(3) = 3 Given h(x) =…

A: Given

Q: Suppose that f(25) = 10 and ƒ'(25) = −2. Estimate each of the following. 1. f(27) = 2. f(23.5) =

A:

Q: Estimate the area under the graph of f(x) = ln(x) over the interval [1, 2] using five approximating…

A:

Q: 3. The graph of f() =-r is shown below on the interval (0, 1.5). Approximate the area "under" this…

A: The given function is fx=x3-x. The values of the function at indicated points are: fx1*=f0.2=-0.192;…

Q: For a non-negative function f(x), an approximating formula for the area under curve using a uniform…

A: The area approximation formula is Area≈∑fci∆xi=1n. Where fci=Height of the ith rectangle   ci…

Q: Given y'"-2xy'+@y =0 ; y(6) = 48 ( where 4 is the tens digit and 8 is the ones digit, y' (o) > &.…

A:

Q: If f(x) = sin² x, find f'(x) f'(x) = Find f'(2) f'(2) =

A: Given that the function fx=sin2x. Find the derivative f'x and f'2.           The formula used is the…

Q: Q3) The following data represents the relation between the heat capacity of a plate (q) and time…

A: The given data is, t q 1 8 2 7.15 3 5.25 4 3.65 5 2.5 6 2.35 7 2.25 8 1.5 9…

Q: Based on this question add on the following list and rewrite the question. 1. Is 'x' defined in…

A: Great! Let's solve each task step by step.Step 1: To find the number of subscribers that maximizes…

Q: Part (a) Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = x/2. Use four…

A:

Q: Differentiate the following using (a) forward difference method; (b) backward difference method; (c)…

A: We are given the following function.      f(x)=12 sinh(x) at x=1 Note: We will be taking the step…

Q: 2. The tangent line to the graph of y= e3-x at the point (3, 1) intersects the x-axis at the point P…

A:

Q: 10. Let f(x) = , then f'(x) = -*-4 and f" (x) = (+4)° 2x3-24x %3D x²+4> 10.1. Find the intervals…

A:

Q: Using Legendra polynomia lsFind 9quadratic least-square approximation For cosh Cx)

A: We have , fx = coshx We know that , the quadratic approximation of  least square polynomial is given…

Q: Differentiate. f(x) = 4 In x f'(x) =O

A:

Q: 8. X is a voltage that is uniform in [-2,2]. X is passed through a device with the output as 0, X 0…

A: The random variable represents the voltage.and X follows the uniform distribution(-2,2) I.e.…

Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: 16. W' X' Y' SCALE FACTOR

A: Please see the below picture for detailed solution.

Q: #solve the following IVP x² = -10x+4y y' = - 8x-2y x(0) = -2- y) = 4 (299019 tomisab & Then find…

A: The system of IVP is: x'=-10x+4yy'=-8x-2y with x(0)=-2, y(0)=4. To Solve: The above IVP. To Find:…

Q: Approximate the net signed area under the graph of y = x 3 − 1 curve  on [0,1], using rectangles…

A:

Q: You have been given the following : F(2iy.z) = y™ Find the value for the partial derivatfves shown…

A:

Q: Q2: The following tabulated data represent the influence values for vertical stress (1,) under the…

A: Solution: Here x=a/z 4 2.8 2 1 0.2 y=Iz 0.93 0.8408 0.7008 0.336 0.0188 We have to find the…

Q: If ƒ(t) = (t² + 2t + 2) (3t² + 5), find: f’(t) = ƒ'(5) =

A: given,  f(t)=(t2+2t+2)(3t2+5)

Q: S Vx#dx = Select one: O a. Vx7 + c O b. Vx + c O c. V + c O d. Vx7 + c

A: Given : ∫x43dx We know :  ∫xndx=xn+1n+1+C , where C is arbitrary constant. Therefore,…

Q: Find the marginal average cost function if cost and revenue are given by C(x) = 144 + 4.3x and R(x)…

A: Firstly find average cost . Then take derivative of Average cost function. Marginal average cost…

Q: If P(24, 8) is dilated to P' (6, 2), then the scale factor is 4. Your answer: True False

A: Dilation of a point means multiply the coordinates of the point by scale factor. A scale factor is…

Q: If f and g are inverse functions and if f (x) = 7 and f' (x) = when x = -3, give the equation of the…

A: The equation of normal line is 4x+3y-19=0

Q: Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.