f'x)%3D2X°+ 2x - 10x t6=D2 what are the Critical humbens of f? what in terrals is f increasing? what are the x -ralues of the looal extre

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: The linear approximation at æ = 0 to sin(2z) is A + Bx where A is:| Previev and where B is: |…

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Q: 2x + 7x +3. If Ax = 0.3 at x = 4, use linear Let y approximation to estimate Ay %3D %3D %3D Ay =

A: Given y=2x2+7x+3 if ∆x=0.3 at x=4 we have to approximate ∆y using linear approximation.

Q: Assume that after few w months, butterf lies papulace in looa is Calculated as: F(w)=12W+Cos (lbw)…

A: Minimum and maximum of a function can be calculated by testing the function against all the values…

Q: 5. f'(x) dx = Choose... 6. cosh t dt = Choose...

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Q: Let y = tan(2z + 3). Find the differential dy when z = 2 and dr 0.1 %3D Find the differential dy…

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Q: Let y = tan(2z + 3). Find the differential dy when z = 2 and dæ = 0.4 Find the differential dy when…

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Q: IND THE ORTHOGONAL TRAJECTORIES OF THECURVES Y =Cx²,WHERE CIS AN ARBITRARY CONSTANT.

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Q: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

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Q: dy at t = a where dt Find f(1+ vu), u = 2-x? and f'(2) = -3.Find dy when x = 1. dx 8. Let y ||

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Q: dx 4.Exaluate I=| correct to three decimal places by Trapezoidal rule with h=0-25.

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Q: A particle moves around the unit circle in the xy-plane. Its positionat time t is r = xi + yj, where…

A: Given, r=xi+yj velocity v=drdt v=drdt=dxdti+dydtj if   v.i=y dxdti+dydtj.i=ydxdt=y dydt=d2xdt2

Q: Using figualve mme thod X + 2 dt 2. dy X - 29

A: To find the eigenvalues λ of the matrix A, solve the characteristic equation A-λI=0 for λ. To obtain…

Q: Find f. fy for f(x,y) = xcosy + %3D x5 siny3 ey

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Q: tany = C secx

A: The question clearly asks us to find the family of orthogonal trajectories of the given family.…

Q: Ql: Approximate: 4 dx x – 1 Using: 1- Trapezoidal Rule (4 subintervals) 2- Simpson's Rule (n=8)

A: VALUE OF INTEGRAL BY TRAPEZOIDAL RULE IS 3.116666666 VALUE OF INTEGRAL BY SIMPSON RULE IS 3.09872…

Q: 2. f(t) = -3t – 10

A: To find Laplace transform of given function we use the formula of Laplace transform.

Q: Find dydx? for f(x, y) = eXy

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Q: Show that the function y(x, dy/at = a2y/ar2 = dy/ax = %3D %3!

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Xyz f(x.y.z) = function is given dt P(2,t,) in point fax + fy + f2z colculate.

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Q: = f f(t) [ ³wt e dt fat. ejut dt How did he get the limits of integration?

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Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

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Q: of Let f (x,y)=tanh-1(x-y) with x=e" and y= usinh (t). Then the value of evaluated at the point dt…

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Q: S tan ax secex dx 3

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Q: Integrate f(x,y) = x-5y over the curve C: x +y = 64 in the first quadrant from (0,8) to (V32,/32).…

A: Formula Used:Line integral ∫Cf(x, y) ds=∫abf(x(t), y(t)) dxdt2+dydt2dt

Q: Find the moment of inertia with respect to x-axis the aarea bounded by 2y^2-8y-16x=0 and the line…

A: The moment of inertia is the rotational analogue of mass. The expression for moment of inertia is…

Q: solve: d/dx on the intergral 2x to x3 with an integrand of t2 et^5 dt

A: Given integral is

Q: Q2: Find the derivative of f(y,z) = ze2y + cos(2zy) at ppoint (9,1,0)in the direction of V = 2i - 3j…

A: The given function is: f(y,z)=ze2y+cos(2zy)

Q: Find fr and fy- f (x, y) = 4etlo dt f#(x, y) f„(x, y) =|

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Q: Use the Trapezoidal Rule with n = 4 to estimate f, (x³ + 1)dx.

A: We have to estimate ∫-11x3+1dx by using the Trapezoidal rule with n = 4.

Q: Fx to find Fy 15 dy dy Assuming 8x3 - 2y2 - 6xy = 0 defines y as a differentiable function of x, use…

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Q: (i) Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to…

A: Here, the given function is: f(x,y)=1-xycos πy To find the linear approximation of the function. For…

Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: The work done W,to stretch a spring from its natural length to an extension of 2 meters Is given by…

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Q: Q4/ Find the direction in which the function f(x,y) = xy2 +1 increases most rapidly at P-(1, -1) and…

A: We have to find the direction in which the function fx,y=xy2+1 increase most rapidly at P1,-1 and…

Q: A particle is moving along the curve y=x- 2 where x and y are functions of t. Find dx/dt if dy/dt =…

A: From the given problem:   y2=x3-2 ....(1)dydt=4.   Now differentiate the function with respect to x.…

Q: 14. F(s) s2-25 3.

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Q: 12. F(s) s²+2

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Q: The coordinates of a particle in the metric xy-plane are differentiable functions of timet with…

A: Write the distance of any point ( x , y ) from origine and take derivative of it.

Q: the. indicaled.partial.derivative.s. a. f(xny)=sin(2x+3y) (3,4)?.. .C. f.(.u.,V.w) W ton(ul

A: Topic = Partial  Derivative

Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

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Q: ds Find where Vt +s = 2s . %3D dt

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Q: Find fr and fy- f(x, y) = fetlo dt f.(r, y) = fy(x, y)

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Q: Suppose F(x, y) = 0 and y is a differentiable function of x. Explain how to find dy/dx.

A: It is given that F(x, y) = 0 and y is a differentiable function of x . For the function F(x, y) = 0…

Q: 2s+3 13. F(s) = s2–5

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Q: b)x > 0 impending all continuous f function | f(t)dt = x. arctan(x) f(1) =?

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Q: cos z dz ar gral f

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Q: If f'(x) = x*, what is f(x)? (Use C for the constant of integration.) %3D f(x) = %3D

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.