Evaluate the given function tan?ydy = sin xdx is equal to.. 30 3 (tany - у) А. Зх- = cos³x + cosx Cosx 30 3(tany – y) В.Зх + cos?x cosx CoSx 3 (tany - у) 3C + Cosx С. Зх — = cos³x - cos?x D.None of the Above

Q: 2. Suppose, f'(x) =2 cosx+sec x, -7<x<: and it is known that f()= =4. Find the function f(x)

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Q: 14. ry = coS

A: Given:      xy=cos-1xy+1        y=cos-1xy+1x differentiating on both sides     dydx=ddxcos-1xy+1x…

Q: Q6:-Prove that: y" =1 y =csc(tan"") if

A: Given y=x4·csctan-114x2-1 Let tan-114x2-1=α ⇒tan(α)=14x2-1 ⇒cscα=2x ⇒y=x4cscα⇒y=x4(2x)⇒y=x22

Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

Q: Let z be defined implicitly as a function of x and y by the equation dz 4+ In (xy²) – cos (xy – 2) =…

A: Given: Let z be defined implicitly as a function of x and y by the…

Q: For items 1 to 10, determine 1. y 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√x 2. y=-- (A) 3. y=e-sinz (A)…

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Q: Q. 4 Use Secant Method to find the root of: f(x) = x2 – 4 sin(x) = 0 Taking xo= 1 and x1=3 as…

A: Use secant method to determine roots.

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A: Find inflection of points and concavity.

Q: = Assuming that y = - sec(xy). It will follow that y' Select one: True False y sec(xy) tan(xy) 1-x…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q1 Find the absolute and relative errors of w-x-y, where x-cos33 chopping, y-sin33 ) لثلاث مراتب بعد…

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Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

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Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: b) f(x) = cosx on the interval [0,] %3D

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Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

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Q: Which of the following is not equal to the derivative ofy = (cos(x) – sin(æ))= A 2 (sin? (x) – cos²…

A: The given function is y=cos x-sin x2

Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In…

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Q: Q2\ Answer TWO branches only A- Prove that sin(tan¬1(x)) V1+x? sin-1(x2) ) B- Find for y = sech ( dx…

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Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: (3) Estimate the error involved in using the approximation cos x = 1- for |x| < 0.01

A: To estimate the error involved in using the approximation cosx≈1-x22 for x≤0.01 The Taylor series…

Q: Differentiate f(x) = sin(sin(cosx)). A -cos(sin(cosx))cos(cosx)sinx B none of the given choices ©…

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Q: Find one root of the equation below f(x) = cosx – x %3D using HIM and SECANT method of x = 0 and x =…

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Q: hich the extrema occur. g(x)=x^2+cos⁡(x^2 ) on [-√π,√π]

A: The function given is gx=x2+cosx2 on the interval [-√π,√π]. To find the extrema of the function…

Q: Evaluate the given function tan²ydy = sin3 xdx is equal to.. 3(tany – y) 30 + cosx А. Зх - cos³x…

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Q: Find f'(x) given トhat fcx)= tan Cax - Jx +4ょ3) %3D (assume real number) is

A: Our aim is to find f'(x) where f(x)= tan(ax5-x12+4x-3), where a isassumed to be a real number.

Q: Evaluate 1 ei sin x cosx dx using Simpson rule with h = 20

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Q: Estimate the error if P3(x) = x - (x3&gt;6) is used to estimate the value of sin x at x = 0.1.

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Q: 4. How many fixed points does the function T(x) tan(x) have? %3D

A: As per our guidelines, we suppose to answer only one question. Here question 4) is answared.

Q: Evaluate the given function tan?ydy = sin3 xdx is equal to. 30 3(tany – y) А. Зх + cos³x = cosx cosx…

A: tan2ydy=sin3xdxIntegrate both sides and solve.

Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: Q5: find 2 for the following functions: a) y = asin(2/x)+ csc(4x) + tan(x*) b) y = sin(e) +…

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Q: 29. How many periods are between o and 2n for the function y= cos5x. A. O B. 3 C. 2 D. 1 E. Not…

A: We have to find  no of period

Q: Which option equalsS x sec2x dx ? Exactly one option must be correct x secx tanx - In(cosx) + C O x…

A: Hence option (b) is correct.

Q: 12. Given that V3 cos x = cos(-x), tan x= A 3. cos(f B V3 C 1. V3

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Q: Q2// Given that oc= = sec-(-V13/2), find sin x, cos x, tan ox, csc o and cot x.

A: Given: write as Formula used

Q: Find the extrema of the function on the given interval, and say where they occur. sinx+cosx, 0 less…

A: Given f(x)= sinx+cosx ------(1) let's differenitate (1)f'(x) = cosx -sinx

Q: Find the egetion of the tanqent line on the interval (o,5) to co.1, 6.2)

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Q: At which of these x-values is the value of y=cos x greater than the value of y=sin x? Select all…

A: From above we can see that when x=π6, (cos x,sin x)=32,12 here cos x&gt; sin x From above we can see…

Q: by implicit di f foretiation of sin-(xy) - cos-(x- y) Find -V1- (xy)? xV1-(x- y) ² + V1- (xy)? -V1-…

A: Using Implicit Differentiation

Q: 6. Evaluate |2 Sin xʻdx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

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Q: Which of the following tables has been completed correctly using exact values? Cos x sec x 0°…

A: We are required to find the value of sec x and cos x for different values of x between 0 degree and…

Q: Use the Intermediate Value Theorem to show that f(x) = 2+ sin r 3 tan x has a | (0. ). solution in…

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Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Q6:-Prove that: y" = 1 y =csc(tan"" ) if

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Q: 5. Find the slope of the graph of cos(x + y) = 2x at the point ( 0, n/2 ). Hint: Differentiate…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Is there a value of b that will make f (x) = {cos a, r>0 differentiable at x = 0? Upload Choose a…

A: Explained below

Q: 1. Differentiate each function by using formulas. t cost (b) у %3D COSX (a) f(x) = 1+sinx

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Q: Find f if f(x) = tanh (sin e*). -1 %3D e* Cos e* Cos e* 1- sin? e* | O Option 1 Option 2 e cos e* 1.…

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Q: Use Gaussian Quadrature (n = 3) to approximate f(x)dx, where: f(x) = (2.54 - sin0.32x)2 cos0.32x ,…

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