d -3 S In(eu – u)du. Briefly explain your answer. dx Fvaluate -

Q: d°y +9 d²y +24 +16y = 0. Hint: “i" is one dx? dxº dxª of the factors.

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Q: a. Around the point (1, 0), is ƒ(x, y) = x2( y + 1) more sensitive to changes in x or to changes in…

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Q: Find the approximate value for |- 1 dx using -1 Vx? +1 (a) the trapezoidal rule, with h = 0.2, 0.1.…

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Q: dy ez? = 0 5. x+2xy2 + y- dx (Hint: separable)

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Q: Midterm Question 7 of 20 dx = 3y? dy %3D Select me coTrect response x+y3-C NONE

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Q: pV9-(In x)? dx = %3D e-3 Select one: a. TC 2. b. C. 3T

A: option A is correct

Q: Bx*e²*dx Integrate. J3x*e*rd

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Q: Let y 5. Find the change in y, Ay when z = 5 and Az = 0.1 Find the differential dy when r = 5 and de…

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: f (x) = arctan(e") ad f'(-1) =? find %3D 28 - O A) 1/(e+e3) O B) (e2)/(1+e2) (e2)/(1+e) O D) e/(1+e)…

A: Explanation of the solution is given below....

Q: Q10 Monday, March 1, 2021 8:30 AM Q10) Find dy/dx if:

A: To find out dydx=ddx(ln((x+1)5(x+2)20))We can write the equation in exponential form;…

Q: Evaluate I = |e dx using trapezoidal & Simpson methods. take h= 0.5.

A: Given: The integral is  I=∫02e-x2dx and h = 0.5   To determine: The value of the integral I using…

Q: Evalulate J-{xx² dx by usig trapezoidel eule m:io

A: Introduction: The Trapezoidal rule is one of the basic methods to evaluate integral for equispaced…

Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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Q: Evaluate y1+xydy dx. Hint: Change the order of in- tegration.

A: ∫01∫01y1+xydxdy=∫01231+y32-23dy=282-215-23

Q: The degree of the differential eqution 3 dx dy2 а. 6 b. 3 С. 1 d. 2

A: Explanation of the solution is given below...

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 2 O 1 O 0.5 O 1.5

A: Given integral is, I=∫0b2x-1dx Now, integrating the given integral, I=2x22-x0bI=x2-x0bI=b2-b

Q: Fu = x? + y? + z?, where x = e2t, y = e2t cos (3t), z du en at t= 0 is - dt

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: Can i get help step by step please?

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: The sides of the rectangle below change according to = 1, = 34. What is dx/dt at the instant when x…

A: Given that the side of rectangle changes below, dzdt=1 dxdt=3dydt⇒dydt=13dxdt…

Q: 1 I = dx V(a-a)(x-a-2b)

A: Given data: The given integral is I=∫1a-xx-a-2bdx. The given integral can be written as,…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 − 3   dy=?

A: The given expression y=9x2-3 Differentiate both sides with respect to x dydx=d9x2-3dx     =9dx2dx-0…

Q: dy d²y — 4х — + бу 3D 4х — 3 dx² dx

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Q: ? the O.D.E's below is exact (x³ + y³)dx – (3xy²)dy = 0

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Q: dy Find dx at the point ( x, y ) = (1 , 0) If e *y = e * In(x²) + y² + 1 %3D

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Q: Suppose a E R, where a>0, a + 1. What is dx A a* B xa*-1. In(a) ха xa*- a*. In(a)

A: The objective of the question is derivative of given function.

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 O 2 1 0.5

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Q: [a (in z +1)dz, a>0, a +1| dnz a> 0, а+1

A: To find ∫azlnz(lnz+1)dz, given a>0,a not equal to 1 Let us consider, u=zln(z) Differentiating u…

Q: EA Solve the D.E. by Laplace Thans Ferm + 2y = 12 e given ycazo %3D

A: first we apply laplasa Transform both side then we solve

Q: i)S V+ 3. + e dy

A: We have to find the integral of given function .   Here student asked only one question so that i am…

Q: 31. f(x, y) = e cos y a. (0, 0), b. (0, п/2) %3D at

A: We know that linearization of f(x,y) at (a,b) is

Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: ex What is the integrable form of dx? (A) – 1) du B du © [lu?-1) du (1-и2) 2 du

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Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: If z + In(e³x – e + e²) = 0 %3D - find dx at the point (0, 0)

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Q: Scy dx –x dy; C is the cardioid r=1- cos 0.

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Q: sinh (z) = %3D e -e 2- e?+ez e2+ez 21 eiz +e-iz 2.

A: We need to find the value of the function sinh(z) Four options are given. So the solution to the…

Q: Consider I = (2x – 1) dx with b > 0. If R21 = 2 then the value of b is: O 1.5 2 1 0.5

A: Use the following formula, to estimate the integral ∫abfxdx by Romberg integration method.…

Q: 1 -dx%3D? VA (V - 2) A. O2 In(y) + В. O In(y – 2) + e C. O2 In(y – 2) +e D. O 2 In(x-2)+ c E. O2 (ya…

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Q: a? +b 7. Find dx where a, b are constants b- ar

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Q: fi at nd laplace: {e}

A: Use the formula for the Laplace Transform for the given function.

Q: dy at the point (1,1). dx If x³ +y³ = 2, find the value of · at the point (1,1) is dx The value of

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Q: Consider I = (2x + 1) dx with b > 0. If R₂ = 2 then the value of b is: O 1.5 1 05 02

A: Solution :-

Q: e 3. form Ans CUse H tnt dt fnachons

A: Solve the given definite integral by integration by parts,

Q: 32. In the diagram, VW= 3, WX= 4, and VX= 8. Is WX tangent to OV? W b. yes a. no

A: We will use the property that radius is perpendicular to tangent line.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.