At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

Q: y = (sin x)e¯* find de sin-1y %3D d In x

A: y=sinxe-x. Then we have to find desin-1ydlnx.

Q: 1 5. y = %3D sin2 x

A: The given function is y=1sin2x. Obtain the derivative as follows.

Q: Consider the function 3..2 f(x, y) = cos(rxy) – a°y?. = cos(Txy) – x°y°. a) Find the equation of the…

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Q: S cos ædx from a = 0 to b = %3D %3D 3.

A: Substitution is done.

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x-…

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Q: 14. Determine dy/dx if y is a function of x defined implicitly by sin(x? + 2y)

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Q: y'sin = y cos a is solvable by?

A: given equation y' sinπx = y cosπx is solvable by separation of variables

Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point C.0. y =1- ... A…

A: Given; ey+cosx=1 at point (π/2,0).

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+ 2…

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Q: An equation for the tangent line to the curve In(sec x + y?) = tan(x)+e2" – 1 at the point (x, y) =…

A: Given curveIn (sec x +y2) = tan x +e2x-1We have to find the equation of tangent line at the point…

Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

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Q: 4 - Find the direction A in which the function f(x, y) = x cos y + y sin x decreases most rapidly at…

A: We have to find the direction A in which the given function decreases most rapidly.

Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: [8] Find y' of e'sinx=y/x

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Q: 3. + x° siny-y と3 cOS C fond C Frc foeと y g りな in) fy

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Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: What is the equation of line tangent to sin r+1 y = at the point (T, -1)? cos E O y= TX –1 - O y = 1…

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Q: Solve the DE sinx siny dx + cosx cosy dy - O by separation of variables. A sinx cosy - C sin y B cos…

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Q: Find the linearization of the function f(x) = sin(x) at a = π and use it to approximate the number…

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Q: At what point does the cosine function y = cos x, cross the y axis? O (T, 0) O (0,0) O (1,0) O (0,1)

A: Given  function is y=cosx. We have to find the point at which the function y=cosx cross the y-axis.…

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: Show that sin x dx=1-cos t (0<x<t<}r).

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Q: Find the equation of the tangent plane to z= e" +x+x³ +1 the point (2, 0, 12).

A: Let a surface be represented by the function fx, y, z = c where c is a constant. Then the equation…

Q: Find the rate of change of f with respect to t along the curve. f (x.y,z) =y² - sin(x +z),7(1) =…

A: According to the problem, we have

Q: dx by implicit differentiation. a*y? + x sin y = 5

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Q: Determine the equation of the curve whose tangent line at any point (x, y) is e^- sin x and passes…

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Q: The integrating factor of the equation sec? y + xtany= x° is: dy de In|sina| O None of these…

A: We have to find I.F

Q: Find dy/dx of y=sin -1(1/x). (A x²– 1 3 B 1- 9x2 1 9 D 1-x2

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Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…

Q: The third derivative of y = cos 1 sin 27 1 111 a) y" b) y" 27 %3D 3 1 1 c) sin d) y 27 y = - %3D 27…

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Q: The of the function y= e sin(3x)- In(5.x +2x+1) dx at (0,0) is: А. О В. -1 С. 1 D. 3

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

Q: ose that y is a differentiable function of x defined implicitly by equation: = sin 3x + 1 dy at the…

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Q: (a)Find the equation of the tangent line to the curve 8x'y - 5x? + 7y° = 10(x-3y), at the point…

A: See the attachment

Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

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Q: dy - sin x sin y dx = x² cos x siny dx

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Q: e) cos (x + y) - cos(x - y) =-2sinxsiny

A: The LHS of the given equation is cosx+y-cosx-y. Note that, cosA+B=cosAcosB-sinAsinB and…

Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: b) x siny-ycos x- y = 1.

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Q: e) Differentiate f (t) = (e-6t+ sin(2-t)) -9- %3D

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Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: (a) If f(x.y) = e siny - e sinx then verify that fry fyz- %3D

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Q: 3.9.27 Find the derivative of y with respect to x. y = sec 1(5x2 + 1). -1(5x2 +1), x > 0 dy %3D dx…

A: Please see the answer in Step 2

Q: dw of w==+ dt x. y Use the chain rule to find the derivative with x = cos 1, y = sin ?t, z = - dw…

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Q: 2. cos(y)dx= x(sin(y)-x)dy

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Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

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Q: For what value(s) of x in the interval -15 sxs -5 will the sinusoidal function shown below have a…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: tan-1 (xy)=3x2+sin-1(y) find dy/dt

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