For #2 – 5, solve for the variable and then find missing angle or side lengths. If máA = (5x – 7)' , find x, máA and m£E. 2. AV 2. x = 50° mLA= m¼E =. E

Q: b) S cosh(In(cosx)) dx

A: We have to find the integral.

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: This is a problem of Differential Geometry.

Q: In the given equation as follows , find dy/dx:- see the equation as attached here

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: If x = t-t3 and y = t2-t, the value of at t 2 is dx 11/28 The answer is not mentioned 2.5454

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Q: If y=sin?t+ tant, x= - In(- cost) – esinr, find the value of y' when t= 4 A) B) 2+ Vze V? C) 2-Vze ?…

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Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: Find the following for the given equation. r(t) = (e-t, 3t², 2 tan(t)) (a) r(t) = (b) r(t) = (c)…

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Q: v = y ln (x² + z*), find vzy. w = x²/(y² + z²), find d³w/ôz ðy².

A: To find  vzyy, where v=ylnx2+z4

Q: Sadako is crawling out of the television while a scared stationary 5-foot-tall man is watching while…

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Q: Find x() given r(t) =(d'.d sint,e cost)

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Q: 2ay" If x= Arctant, y=/1+16, find the value of a if =17 when t= y'

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Q: r(t) =(a, cos nut

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Q: 2ay' If x= Arctant3, y=/1+76, find the value of a if y' 1=/2. =17 when t= A © 2/2 ® -2/2

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Q: For the equation given below, evaluate the point (1, 2). at da 4e"y – 2x = y+25.6. dy at (1, 2) is…

A: 4exy-2x=y+25.6Differentiate both sides with respect to…

Q: For which values of t e R does the following equation have exactly one solution? 1 -2x + cost 1 2v2…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so we have

Q: Find the following for the given equation. r(t) = e−t, 8t2, 3 tan(t)   (c)  Find r'(t) · r''(t).

A: Find the following for the given equation. r(t) =< e−t, 8t2, 3 tan(t) >   (c)  Find r'(t) ·…

Q: A drag racer accelerates at a(t) = 66 ft/s2. Assume that v(0) = 0 and s(0) = 0. d. How long will it…

A: Given:- A drag racer accelerates at a(t) = 66 ft/s2 Assume that v(0) = 0 and s(0) = 0 To find:-   d.…

Q: Solve the following equation by variation of parameters ? y" + y = sin x

A: Replace y" by m2  to obtain the auxiliary equation. equate the roots to α±βi to obtain the values of…

Q: cos (2? + y*)dA where D = {(z, y) | 16 < a² + y? < 49} . Find Round your answer to four decimal…

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Q: Find the following for the given equation. r(t) = (e-¹, 3t², 6 tan(t)) (a) r(t) = (b) r(t): (c) Find…

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Q: olve the following equation: * = -y(1+xy?) dx

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Q: rL rwax=10 and [, rw)dx= 3, then 14 - x)dx =? If

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Q: For the equation given below, evaluate y at the point (2, 1). ev + 15 – e' = 3a? + 3y?. dy 3 at (2,…

A: We have to find derivative

Q: The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2…

A: The positions of two particles on the s-axis are s1 = sin t and s2 = sin (t + pai/3), with s1 and s2…

Q: For dx + 4y = tan 2x solving by variation of parameters. The value of W(y1y2) is Select the correct…

A: The solution for the above question is as shown below.

Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: The blood pressure (B) of an athlete is given by: B(t) = 20 sin [(8pi t)/3] + 90. If his blood…

A: According to question,Given equation,Bt = 20 sin 8πt3+90,

Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: v = y ln (x² + z*), find vzy. w = x2/(y? + z?), find ô³w/dz ây².

A: Given v = y lnx2+z4 Then vz = ∂∂zy lnx2+z4= yx2+z44z3= 4yz3x2+z4 Then vzz = ∂∂z4yz3x2+z4=…

Q: idy 12 dy + 3 dx 3 dx? ||

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Q: Find the following for the given equation. r(t) = (e, 7t², 9 tan(t) %3D (a) r'(t) = (b) r"(t) = (c)…

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Q: If x= Arctant3, y=/1+16, find the value of a if 2ay" =17 when t=V2. y' A -2/7 © VE C O 2/7 E

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Q: Find an equation of the form y = ab" + c sin G2) that fits the data below 3 32 122 X 1 2 y 2 14 To…

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Q: For the equation given below, evaluate at the point (1, –2). - el + 18 – e2 = 6x² + 3y². dy at (1,…

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Q: Find an equation of the form y = ab + c sin r) that fits the data below 2 %3D 1 2 3 y 20 54 160 To…

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 2 + ! sin(2nt)…

A: Find the velocity of the particle

Q: Find the following for the given equation. r(t) = (e, 5t?, 6 tan(t)) (a) r'(t) = (b) r"(t) = (c)…

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Q: 3. L e sin(7)dr Hint: L{8(t)} = 1 -

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Q: dy dr for the equation (0, 0) at the given point tan(12x + 2y) = 12x 5. Evaluate nswer to two…

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Q: Given L 8e* dx, which of the following is true? 1+9e2x 00

A: ∫-∞∞8ex1+9e2xdx

Q: Find the following for the given equation. r(t) = (e¯t, 3t², 6 tan(t)) (a) r'(t) = (b) r"(t) = (C)…

A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 7 + sin(7nt)…

A: displacement is given as, s(t)=7+12·sin(7πt) to find the velocity we need to differentiate…

Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: Find the following for the given equation. r(t) = (e-t, 5t², 5 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: 4(t) = It cos (6ㅠt +풍)

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Q: 1+ x² dx (e)

A: Apply trigonometric substitution Let x= tan(theta)

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt)…

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Q: In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what rate…

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Q: Find the following for the given equation- r(t) = (e-t, 7+², 2 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

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Q: Given that y = px? – qx (where p and q are constants), find dx2

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