Find θ with 0≤θ<2π  and tanθ=1

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Q: Suppose z is a function of x and y. Solve for ∂z/∂y if tan √(y^2 + x^2 + z) = z^(x)e^(6y).

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Q: if H(y) = cos y - sin y, find H (1/2 pi + x ) = H(pi - x) =  -H (-x)

A: Given :     H(y) = cos y - sin y

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: 5) Find if y = (cos h x)* dx

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Q: dy If y = x tan-x- In /1+ x² . is then dx (A tan-lx В x tan-lx © cot-1x X. D x cot-lx E None of the…

A: A detailed solution is given below

Q: #1: Given: y = cos (x

A: Given trigonometric  function y=cosx-π2

Q: Compute S x? cos(x³ + 3) dx

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Q: Suppose z is a function of x and y. Solve for dz if tan Vy? + x2 + z = z"e6y.

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Q: Find for the given value of x. dx 1. y = xCos'x; x =- 2. у 3 ;x=1 Tan'x 1 1 3. y=-Tan ; x=-1

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Q: Find dy Y= #an" (=) + cos "(sx) + CoS

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

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Q: Let h(t) = tan(3t + 8). Then h'(5) is and h"(5) is

A: As we know that the chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   Given: ht=tan3t+8 Now…

Q: Determine whether ƒ is even, odd, or neither.

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

Q: 2х —1 The value of| dx is 1+x-x, tan А. 1 В. О С. 1 D. 4

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Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: 6. Find : (a) y = (x +5) tan 7x, %3D dx

A: Given :y=(x3+5)tan7x

Q: If sin x = .V and t < x <

A: Given data: The given expression is sinx=-√2/5. The given interval is π&lt;x&lt;3π/2. The given…

Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: ,3 sin x cos x dx. + C

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Q: (b) S – cos(x) + 5 sec x cos x dx

A: This is is integration question

Q: For each of the given diffrential equation, find a particular solution satisfying the given…

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Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: y = 3 (Arccos(2x))x!nx

A: Given function is y=3cos-12xxlnx To find: dydx Solution: Product rule of differentiation states…

Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

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Q: B-The result of dy/dx for the following function is COS X y 1+sin x

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Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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Q: The domain of y = cos-1 x is______ and the range is_______.

A: Let the given function be y - y = cos-1xTo find value of y, we have to represent the function in the…

Q: Find f(x), where f'(x) = sin(x) + cos(x) + 1 and f(T) = 2.

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Q: ,2x Set* sin(e2*)dx

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Q: 1. y = sin x at , 1)

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Q: o find for: y = sin(x") + 2* +n

A: Given,          y=sinxx+2x+π

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

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Q: 1. Find y'or for each of the following functions: dx 5 sin x 7-2 sin x (a) y : tan x (b)y =: 2x-3 3…

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

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(T) = 2.

A: We have to find

Q: If y=tan(arcsec/x), then dy/dx is x- 1 A 2(x – 1) sec2(arcsec/x) В 2x sec2(arcsec/x) D none of the…

A: We have to solve the problem

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ

Q: dy is: If y = tan(47x²) then dx

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Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: suppose sin (t) = x /x+1 . find cot (t)

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Q: given dy=x+coS X find yuhere y( -1.

A: Using variable separable.

Q: (C): If w = tan x and x = 4²³ +t: Find?

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Q: S. X CoS 2x dx

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Q: If the position of a moving object is s(t)=(sin t)² meters above zero at t

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Q: The least value that the function F(x) sin x may have is -1 1

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Q: Let cos 0 + (sin 0)2 with 0 <0 < 2T. Determine any critical points of y on this interval.

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Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below