6. f(x)=cot(x+180)+2 f(x) Period Vertical Shift: Horizontal Shift_ Start End Increments

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Q: 1 if x - 1 I-2

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Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y fxy=fyx=∂2f∂x∂y=∂∂...

Q: مرمع الراشرة

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Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: 5. Prove the following identity 1- cos x tan? %3D 1+ cos x

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Q: + y + Y а 4x 4z = b 2y 2z C -

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Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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Q: If y = (2x2 – 1) then what is y'? а. у %3 4x (2x2 -1) -12 b. у - 2x (2x2 - 1) 2 с. У 3 2x (2х- 1) % ...

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Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: 5. Find the critical point or points for eorh of the following outonomous system. Then match each pa...

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Q: 2. f(x) = complete the table. Show your solution. 2 1 0.8 0.5 0.1 0.01 0.001 0.0001 f(x) What is lim...

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Q: Given f(x,y) = x3y-3xy³. Evaluate fdy O 14y-27y + C 6. O -6y³ +8y/3+ C бх2 - O 6x2 – 45x + C 4 2x2 –...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x 3 x-intercepts at...

A: We have to find rational function for the given condation.

Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: Given f(x.y) = e X cos y, Evaluate fx(2,0) e2 cos 2 O sin 2

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Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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Q: cot a 1. lim -0- CSC 3 2. lim e2r - 4 3. lim ln 2 r - ln 2

A: To evaualte the following limits by L'Hospital's rule. 1 limx→0- 1-cot xcsc x2 limx→+∞ 1-3x2x3 limx→...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 e...

A: By using sigma notation to write the Taylor series about x=x0 for the function.ex; x0=4  

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: Suppose f(x, y) = x² + 2æy+ y². Which field plot is Vf? Justify your answer. 鹿

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Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d. ...

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to d...

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min...

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: 0 sin x

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Q: 2. If z y where z= s cos t and y=s sin t, find az/ôs and az/at.

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Q: A researcher is nunning a simulation of an upward rocket to study the upward velocity of the rocket ...

A: v = ulnmomo-qt -gtv=upward velocity 680ms                                u=fuel expelling velocity r...

Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 4...

A: Taylor's series about x=x0 for the function ex; x0=4

Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: nd Solve:- 8: Chassify -3x dy + (3X+リ』 = e ノス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: Match the sequence with the given nth term with its graph. 10n an n + 1 an an 10 10 8. 8. 4. 2 4 6 8...

A: here given  an = 10n/(n+1) for plotting put point 1,2,3,4...... first wwe put 1 a1= 10(1)/(1+1) = 5 ...

Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: Differentiate the function. g(t) = In(5 + t“) g'(t): %3D

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Q: 3 dy dx • Find given y = + 10 and u = x+1

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Q: e zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete ...

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Q: A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on the...

A: Given: A post 20 meters long stands vertically in a horizontal plane. Another post 45 meters high st...

Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: What is the y' of y=tan (6x-5)? a. y' = 6 csc2 (6x-5) b. y' = 6 cot (6x-5) c. y = 6 sec2 (6x-5) d. y...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Case 3: non-repeatec quadratic factor 7.x + 13 x3 + 9x Example 2:

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Q: (a) Ifx + y = 25, find dy/dx. b) Find an equntio

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Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + ...

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Q: VAT4 : then what is dy2 x+4 dx dy а. 4x(x +4) dx dy 4Vx +8 dy = 8 Vx + 4 b. dx C. dx dy d. dx 4(x + ...

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