Find V1+ i. Hence show that tan 1/8 = v2 – 1.

Q: Find the quadrant in which the terminal point detemined by t lies. sin(t)<0 and cos(t)<0…

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Q: Find the four values of t between -2π and 2π at whichsin t = cos t

A: Our Aim is to find the four values of t between -2π and 2π at which sin (t)= cos (t)

Q: Find the x+ iy form of tan(i), arctan(2i), and tanh(i 3º5).

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Q: Find 7'(t), given ř(t) = ( – 4cos( – 5t), 3 sin( – 5t), e*). - - F (t) =

A: Solve the following

Q: Express æ = 3t, y = tan-'(t4 + e') in the form y = f(x) by eliminating the parameter.

A: Given : x = 3ty = tan-1t4+et

Q: Use the Intermediate Value Theorem to show that there is a root of the equation in the given…

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Q: Find Duf at P. 3 f (x, y) = sin(3x – 5y); P(5,3); - - NOTE: Enter the exact answer. Duf =

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Q: Find 0 on the interval 0,-) 1 a) tan 0 V3 b) tan 0 = 1 c) tan 0 = 0

A: We need to find θ on the interval [0, π2) for the following. For (a),           tan(θ)=13⇒θ=π6+πnFor…

Q: Transform F(s) (giving you cos 5t + t³

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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: Find a, b, and c for the function f(x) - a sin(bx- c) such that the graph of matches the figure. (x)…

A: Given  the given form of the function is fx=asinbx-c and the graph is

Q: Evaluate | (3t + t²) sin(2t) dt

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Q: Find the function if sin t T+1 1 tan 2x + 1

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Q: Solve the equation on the interval 0 s0<2r. V3 tan 0+ 1 = 0

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Q: Evaluate | e'(sin(1) + e*)°dt using an appropriate substitution.

A: Given : ∫etsin1+et9dt

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

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Q: Find the absolute maximum and minimum of f(t) = -2cos2t + sin4t on  the interval [0,pi/4]

A: The given function is, f(t)=-2cos2t+sin4t and the given interval is, 0,π4. Obtain the value of the…

Q: Which of these will represent u in the function * y= sin -1 Vx2 + 3x + 4? Sin-1 а. du V1-u?

A: Using definition of composite function.

Q: tan x- 2x°y = c 3

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Q: B) If f (x, y) = tan (2x – 3y) find дх ду?

A: Given function is fx,y=tan2x-3y

Q: find the derivative d/du 1/(1+cos2(u))1/2

A: given:    ddu(11+cos2u)

Q: Hw) if J-0- Gso and X=O+ Cas e Show that Sece+tan 0

A: The given differentiation can be solved by using chain rule. Initially, the y expression can be…

Q: Find all values of t in the interval [0, 27] that satisfy the given equation. (Enter your answers as…

A: Given equation is sin t= - 32

Q: GIVEN: f:0,2x]- -R, f(1) = sinz+ cos I %3D Find f (x) in factored form.

A: Differentiate the function fx with respect to x.

Q: The amplitude A and period T of f(x)=5sin(4x) are..................... and ....................

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Q: Assume sin(t) = -12 where π < t <3. Compute the following: csc (-t) = cos(t + 2) = tan(t) =

A: We have given  Sint = -1/12 , where π&lt;t&lt;3π/2  Compute  1) cosec(-t)  2) cos(t+π/2)  3)…

Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

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Q: Find all values of 0 in the interval [0°,360°) that have the given function value. tan 0= 3

A: Given, tan theta= sqrt(3)/3= sqrt(3)/(sqrt(3)×sqrt(3)) tan theta= 1/sqrt(3) [0°,360°)

Q: Find all values of 0 in the interval [0°,360°) that have the given function value. sin 0=

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Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

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Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

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Q: Calculate the length of the path over the given interval. (sin 7t, cos 7t), 0≤t≤n

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Q: Use the Newton-Raphson Method to approximate the root of f(x) = 2 cos(x) – 2x + 1. (b)

A: Numarical methods: Newton Raphson method

Q: Use the Intermediate Value Theorem to show that in the interval [0,1] the equation below has a…

A: Given that: sinx=2x-1

Q: ii. Verify that the u = -e-Y tany is harmonic in an appropriate domain D.

A: Given that u=-e-ytany.  If u is harmonic then uxx+uyy=0.

Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

A: I am attaching image so that you understand each and every step.

Q: Let F(2) = | sin (6t) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.63 Use this…

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Q: The graph of f(t) = tan (2t + 4T) intersects the t axis on the interval [0, TT] at points %3D

A: Graph of the function f(t) intersects t axis when f(t) becomes zero. Substitution of f(t) by zero…

Q: Calculate the length of the path over the given interval. (sin 3t, cos 3t), 0 <t<+

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Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

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Q: Solve the eaation on the interval. 2sin Đ =3(cos o t D

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Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y(pi/8) = 0…

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Q: Prb $2 x sinx dx メt)

A: We have to Solve given Improper Integral using Residue Theorem as Follows :

Q: Find for the following function. sin () + re- cos (2*) = 3y-6z + 8 and

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Q: y 3x+ 6 cosx, 0 £xs 2n

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Q: Find a trig substitution r = f(@) that makes 1 dr = cos 0 de. (V4+)3

A: Here we have to substitute x =f(θ)

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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Q: Is this correct?

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