Зх- 1 | (*-9) dt Use Leibniz's rule to find for y = dx

Q: tan + x Anctan ly =0

A: The given differential equation is,

Q: 1. Find the instantaneous rate of change when x=π for y=sin*x/2-3cosx.   2. Interpret geometrically…

A: Simply take the derivative and put the given point to find the instantaneous rate of change.

Q: Derivative of f(x)=1+ 2x+3xy computed * O explicitly equal to 2+3x implicitly equal to 2+3x+3dy/dx O…

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Q: Second derivatives Find d2y/dx2 . x + y2 = 1

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Q: derivative of 4x² + 8y2 = 36. %3D

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Q: ● f sec³(x) dx ● ► f sec¹(x) dx • f sec³(x) dx MTH 32

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Q: sec² x dx V4 - sec² x

A:

Q: arcsin = ab x² – Va² – y²; Find y'.

A:

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: cosh z sinh dz (cosh z+3) 2.

A: To evaluate the given integral.

Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider…

Q: (sin 0)y" - (cos 0)y' 2 %3D

A: In the given question 5, The order of the differential equation is = 3 And the equation is linear.

Q: = * sin (t – 1) dt Find the derivative of the function g( x O sin (3x – 1) sin (2) 3 sin (3x – 1)

A: We will use Newton leibniz formula to solve this question.

Q: equation with the appropriate slope field. y' = x-y 11

A: Show slope field on graph

Q: (2x + 3) csc²() dx + f 4 tan () dx = 2(2x + 3) cot (#) f(2x + 3) sec² () dx - 4 tan ) dx = 2(2x + 3)…

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Q: Velocity is the first time derivative of position of time ylgn O ihi O

A: Velocity is the rate of change of displacement with time

Q: Determine the 2nd derivative. x^2 + 4xy + y^2 = 2

A: Given equation x2+4xy+y2=2

Q: Second derivatives Find d2y/dx2.

A: 2x2+y2=4

Q: Implicit differentiation Find dy/dx when F(x, y) = sin xy + πy2 - x = 0.

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Q: ∫6x5−7x3+12x2−10 dx Evaluate indefinite anti-differentiation

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Q: Leb Fur =ue Show thab f6/0 )c

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Q: terentiation 2 2 Find dy if y=x'+ sinxy 1.

A: Since you have asked multiple questions, as per the guideline we will solve the first question for…

Q: 10. y = -3 cot 2x, 2nd derivative

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Q: ) Isinx-sinyls lx-y!

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Q: Second derivatives Find d2y/dx2 . x4 + y4 = 64

A: Given:            x4 + y4 = 64        . . . (1)

Q: 6. Use implicit differentiation to find first order partial derivatives: tan-(x²y) = y²z3 +…

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Q: equation of tangent line of f(x)=5x^3+1 at x=1 is * O y=15(x-1) O y=15 x-9

A: Given: The function f(x)=5x3+1 and a point x=1

Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate indefinite anti-differentiation

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Q: Fintsh Line

A: At a certain moment, a race official is watching a race care approach the finish line along a…

Q: Second derivatives Find d2y/dx2. 2x2 + y2 = 4

A: To findd2ydx2of 2x2+y2=4

Q: Partial Differentiation. If u = In(x² + y?) and z = sin-(=), evaluate the following: azu 1. ax azu…

A: Here is the solution of the given problem.

Q: siny dle = (1-x cosy) Cas y

A:

Q: II. Derivatives of Transcendental Functions. 6. y = x²e 7. y = 52x+1 8. y = In|sinx| 9. y = xlnx – x…

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Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: sec7(t) tan(t) dt Evaluate indefinite anti-differen

A: We have to find the integral

Q: tanx -√ S sec²x 1+ et tanx In (secx) √✓ 1+tan²x 1+ elanx sec ³x 1+etanx If f(x) = A B (с 1+1² 1+e'…

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Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

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Q: be 2 = xye I calculate a²z a²z a²z əx? ду? дхду

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Q: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: Second derivatives Find d2y/dx2. sin x + x2y = 10

A: We have   sinx+x2y=10x2y=10-sinxy=10-sinxx2

Q: Method of differentiation. 19. Solve (1-x²) dy − xdx + m²y=0 - where x = 0, y=0, x=m dx

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Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?…

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

Q: Ci-2)x OS how that dx = where cis constant of integratron abore or Otherwise Using find f ansurer -2…

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Q: The function of position of an object in motion with respect to time is obtained by fa] a.…

A: By integrating the acceleration with respect to time we get the velocity of an object. dx/dt…

Q: S sec³ x+esin sec x - dx

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Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: Partial Differentiation a2z 1. If z = e* sin y + e³ cos x, verify a²z = 0 ду?

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Q: Compute the derivative y dy dx y = 7x3 – x-4 (Express numbers in exact form. Use symbolic notation…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.