Find the value →17. sin ( cos 18. sec (cos ((F-). 19. un (sar" (-})) 20. cot ( sin

Q: ind the slope of the tangent line to the curve 4 sin(x) + 5 cos(y) − 5sin(x)cos(y) + x = 3π at the…

A: To find the slope of the tangent line of 4sin x+5cos y-5sin xcos y+x=3π, differentiate it and…

Q: 4. y = 5 cos 4x, 3rd derivative 5. y = 3 tan 3x, 2nd derivative %3D 5. y = 6 csc x, 2nd derivative

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Q: tanX Differentiate with respect toX logs sin?x

A: Use the following formulas to calculate the derivative. logab=lnblnaddxtanx=sec2xddxcsc x=-csc x·…

Q: Using Newton's method, the approximation of the root x of f(x) = 2 – x² – co within 10 starting with…

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Q: Use the trapezoidal rule with n = 5 to approximate 3 cos(x) -dx Keep at least 2 decimal places…

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Q: Find all points (if any) of horizontal and vertical tangency to the curve on the given interval

A: Given Data The first equation is x=cos θ+ θ sin θ. The second equation is y=sin θ- θ cos θ.…

Q: 4. Determine exact values of 0 if 0 < 0s 2n given that tano - V3. Explain your process.

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Q: Secant method 3e-* -1 ACTIVITY #7: x² + 2x ; use interval [0,1] - cos?x

A: Given- x2 + 2x - 3e-x - 1cos2x; use interval 0, 1  To find- Find the root using the Secant Method

Q: What is the integral of question 23 and why is the answer 0?

A: Let f(t)= t^4*tan t/(2+cos t)

Q: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: cos 2x – cos x lim sin?

A: To evaluate: limx→0cos2x-cosxsin2x Solution: We know, cos2x=2cos2x-1  ..(1)sin2x=1-cos2x      ..(2)…

Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and…

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1…

Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

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Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: Using secant method, detemine a root of sin Vx - x with initial guesses xo = 0.5 and x, = 1…

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Q: Given: 4 2 y = -arctan sinh 3 х — find y' at x = 2 - cosh 1 - y 1 + sinh? 1 %3D cosh 1 y = 1 + sinh…

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Q: cos(x + y) cosx siny = coty – tanx

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Q: Use the trapezoidal rule with n = 5 to approximate cos(x) -dr Keep at least 2 decimal places…

A: The trapezoid rule is

Q: Find sine half range for f(x) = \cos x for -1<x<1 COSX for < x < 0. f(x) { COSX for 0 < x < .

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Q: 5. Find the root of the function using Newton's Method. f (x) = cos (x) + 2sin (x) + x?

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Q: ldx on the graph y sec x? + y? = cos2x at point (1, 2).

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Q: = 5 sec x tanx %3D

A: Please refer to the image below

Q: If tanh(x) = 24, find the values of the other hyperbolic functions at x. sinh(x) %3D cosh(x) coth(x)…

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Q: (3 tanx-2 cos y)sec" xdx + tanxsin yay = 0

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Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin…

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: Find the equation of the tangent line to the astroid x = cos° (0), y = sin³ (0) at 0 = 5. (Express…

A: The given equation of the astroid:x=cos3θ and y=sin3θWe need to find the tangent line to the astroid…

Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given that y=sin-1(ex). We need to find the absolute and local extreme values of the above function.…

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: 2 sin'x - cos x sin'x - (1 - sin'x) in*s) Rule ? %3D sin°x - 1 + sin´x Rule ? %3D = 2 sinx - 1 Rule…

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Q: If sinh(x) = 35 =, find the values of the other hyperbolic functions at x. %3D cosh(x) tanh(x)…

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Q: cos x-sinxtanx=

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Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: 4 cot x)sec& ) .

A: cotx = cosxsinx. secx = 1cosx csc x =1sinx

Q: Find the equation of the tangent line to f(x) 16e* cos2(x) at x 4 (Use symbolic notation and…

A: To determine the equation of the tangent line.

Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: dx 2 sin x - cOS X |tan+ 2 + V5| In 5 tan; + 2– V5 |tan+2-V5 + C + 2+ V5 2. + C In Option 1 O Option…

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Q: tanh(x) = 3/5, find the values of the other hyperbolic functions at x.

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Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

Q: Find sine half range for f(x) = \cos x for -t< a <n %3D cosx for f(x) for 0<x <n. cosx

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Q: 2) tan-l 1 Vz 4) sin-! 6) tan-1V3 8) tan-l 0 V3 10) sin-! V3 12) tan- 2. 2. 3.

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Q: Find generul solution ý +y tan (x) = see (X) - sec %3D

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Q: Find the first derivative of y = (x – 1) √ (2x – x2) + arcsin (x – 1) and y = arctan [ (3 sin x) /…

A: y=(x – 1)(2x – x2)   +sin-1(x – 1) y'(x)=d(x – 1)2x – x2   +sin-1(x – 1)dx        =d(x – 1)2x – x2…

Q: Solve over the interval [0,2pi)

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Q: I. Verify the following identities: 1. cosh x- sinh x = e* 2. sinh(-x) = –sinh x 3. cosh(-x) = cosh…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: d. tion to prove that (cscx) dx = – CSC X COt x. 86. Use the quotient rule and the derivatives of…

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Q: at y = ". For cos x – sin y=-, find the value of so that ky'"=-1 at y="

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Q: Find 2 sin(x + sin(x + sin a)) – 2 cos(cos 1) lim 2x – T ithout using L'Hôpital's Rule.

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