Let Zlx) ~N(0,1) prop (x1.21) = %3D prop

Q: Compare the values of delta y and dy for the function f(x)= x^3 - 3 at x=3and delta x= 0.2

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Q: Find the average value of the function f(x) = x - 9 on 0,/18. The average value of the function f(x)…

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Q: If f is continuous and f(x)dx=10 on the interval [0,4] find xf(x^2) dx on the interval [0,2]

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Q: Let f = e^ (− x ^3/ 3) +x−y^ 2 . Find the local minima, maxima and saddle points.

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: determine the average rate of chnage for the funcation f(x)=4log(x^2)+ 2/x betweem x=3 and x=5

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Q: r Show that Pv(6AR)=(PV@)^(PVR) 2. 2 Constrmet a tnith foble for b Efv (avs )]^ FRV(Qvs)]…

A: As per Bartleby guidelines, we are supposed to solve only first question if multiple questions are…

Q: The critical number for y= coth(x^3+1)

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Q: Let plx)= 6x f(x) f"(x)= f"(-2) = 5-3 %3D 2.

A: Recall: dxndx=nxn-1

Q: find the pauticuler soluhion fr + loy = x'_e*sin(8x)

A: Solve particular integral in above differential equations.

Q: Let f(x) = sinh(2x) then f'(In2) = %3D %3D

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Q: Let x +3 f(x) = x + 7 f(-2) = %3D

A: Solution )

Q: Let m(t) =(1/6)e^t+(2/6)e^2t+(3/6)e^3t Find E(y) Find V(y) Find the distribution of y

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Q: A solid object placed along the x axis has cross sectional area at a value x equal to A(x) = e^2x.…

A: A(x)=e2xgiven interval is -1,3formula for volume isV(x)=∫abA(x)dx

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

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Q: Apply the three-step method to compute f'(x) where f(x) = 9x² + 2. %3D

A: Given  f (x) = 9x2 + 2 .

Q: Find E(x,y) for the function x^3+y^3=9/14(xyz) at the point (2,7,39). Round your answer coefficients…

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Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: Find the antiderivative of dx / (25 + 4 x^2) * O (1/2) arctan (x/5) + C O (1/10) arctan (2x/5) + C O…

A: An antiderivative is an integral process that can help a function to get back into its parent…

Q: Suppose that Var(X) = 879.05, Var(Y) = 8681.72, and Cov(X,Y) = 2281.58. What is Var(.08X + .92Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: Given: dyldx = (4x^2 - 7x) / (3y^2 + 2). Find the particular solution at x = 1, y = 1. %3! 6y^3 +…

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Q: (b) (p^q) Vq=pVq 1

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Q: the function f Cx) = arc tanx for Ix|<d including f lx) = E Gas^ ng %3D %3D 2n+1 (23)

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Q: 4. S V tan x sectx dx

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Q: 5. (y" – y) = e-X cos(3x) %3D

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

Q: Find the x>0 which minimizes 2*. Round to one decimal

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