Which of the following is L (s – a)² – c² | where a and c are real nonzero constants? Select one: а. -at sin(ct) O b. -at cos(ct) С. eat cosh(ct) d. eat sinh(ct)

Q: no 2n? -5 sin( n) d] lim %3D 3. Prove or provide a counterexample for the follow

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Q: Q6:-Prove that: y" =1 y =csc(tan"") if

A: Given y=x4·csctan-114x2-1 Let tan-114x2-1=α ⇒tan(α)=14x2-1 ⇒cscα=2x ⇒y=x4cscα⇒y=x4(2x)⇒y=x22

Q: If f(x, y) = 9x² - 6y³ - 7 cos(-6xy + 플) then Select one: O True O False fy(л,0) = -42

A: Given function is f(x,y)=9x2-6y3-7cos-6xy+π2. We have to find fy(π,0) that is partial derivative of…

Q: Q1/: a: Using the relation showthat Jv2 (x) =, cos x

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Q: For cos2(xy) =-, evaluate y' when x = 1. 4

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Q: (h) When, for 0 st < o, is the particle speeding up? (Enter your answer using interval notation.)…

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Q: consider this formula. z= y over x if z= 4.0 and y=6.0  express your answer to the tenths place

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Q: lue of c is the following function co: CO In (cxy+1) if (x, y) + (0,0) 4) = ху

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Q: J32 For z = cos(x-4y) show that # дудхду 332 дугах

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Q: O Verify that you (-00, os). Cos (zt) is a salution to y"- Sy= -9cos(2€) on

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Q: For cos2(xy) = , evaluate y when x = 1. 4 6 3 3 O O

A: Given query is to find y'.

Q: For f(x)=In(cos(x)), what is

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Q: Consider the following. (If an answer does not exist, enter DNE. f(x) = In(x² + 7) %3D (Entor voUr

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Q: Q6:-Prove that: y" = 1 if y=;csc (tan"

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Q: 6. If f(x, y, z) = r³y³ sin (z²)+z³ cos (r³), find an expression for fryz and evaluate it at the…

A: x, y and z are the variables of function f Differentiating partially the function f with respect a…

Q: For z C, show that the solutions of cosh(z) = 1 are z= i2km, for ke Z.

A: We need to prove that the solutions of the equation: cosh(z)=1 are z=i2kπ, where z∈ℂ, k∈ℤ.

Q: Find the sign of the following. sec (-0), given that e is in the interval (180°, 270°). O positive O…

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Q: Which of the following is equal to cosh(In x)? 2+1 A)국 (B)군 2x 2x (C) (D) (H) 2x + 1 2x 2x

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Q: D[Expf-3x] Cos(nt], {x,2},t]

A: Correct option is D

Q: By the samc way, prove that g 7 sinw.k MUIS Z N-27 cesW. +1

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Q: Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose…

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Q: Suppose that f'is continubus, f(o)-o and f(5)= e So f'(x) sin?Cf(x) dx 4) Calculate

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Q: Which is the best of the following polynomial approximations to cos 2x near x = 0 ? %3D A 1+ 1+ x C…

A: According to our guidelines we can answer first question and rest can be reposted. The given…

Q: Show that the following cosh 3 (0,0) r(3,5) x² y?. (10xdx +6ydy)

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Q: 학과 학번 Determine the value(s) of d satisfying that Lacos(br+c) + d de lim 2-0c tan r dr for any real…

A: Integrate as follows.

Q: de B: Evaluate the 2m a-cos20 when z = et and Iz| = 1. %3D

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Q: - Verify whether the following ODE is exact and find its general solution. (2xy - sec²x) dx + (x² +…

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Q: const at Verify 4=(e~x-I is the gereral solticn

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Q: The Wronskian, W, of the functions y1 = sin(2x) and y2 cos(2x) is %3D

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Q: Evaluate fo (6+3 cos a) da using Trapezoidal Rule (n=2). O 12.43167 O 12.26896 11.78097 O 12.386125

A: The given problem is to find the approximate value of the given integral using Trapezoidal rule with…

Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

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Q: | Suppose f(1, y) = 2 sin(11zy) and g(x, Y, z) = /144 – z² – y? – 2². Find the following function…

A: f(x,y) = 2sin(11xy)f(9, π72) = 2sin(11×9×π72)f(9, π72) =2sin(11π8)f(9, π72) =2×(-0.92)f(9, π72)…

Q: Find fxw- for the following function: f(x,y,z)=x² +cos(x² +z²)+sin(x³ + y)

A: Given: fx, y, z = x2 + cos x3+z2 + sin x3+y To find: The value of fxxyz

Q: Determine the value of k which will make h' (7/4) = 6 when h(r) = ln (cos z) + kr. %3D O 5

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Q: Let f(x) = e cosx, sx %3D 2. Express your answers in exact form. ElN

A: Inflection point occurs when the second derivative of the function equals to zero.

Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy +…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Which option equals Sx sec2x dx ? Exactly one option must be correct x secx tanx - In(cosx) + C O x…

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Q: Q12) If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6 )?

A: Given ,fa,b,c=Cos abSin b+CPut 12,π3,6i.ea=12 ; b=π3 ; C=6

Q: Find the lenegth of the cunde 312 2 from x=o to -

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Q: Q6:-Prove that: y" = 1 y =csc(tan"" ) if

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Q: V- Assuming Cov(X, u) = 0 allows us to equate Ex û to zero. True or False? Explain.

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Q: 211 If f(x) = sinh(- In c) then f'(r) 27

A: Given,        fx=sinh-lnx

Q: dy +. (x>0) tind the Soiution of the difperential equation, expressing 4explicitly as general 4…

A: First we comparing the given differential equation with dy/dx+Py=Q .and then find I.F. and then…

Q: Q12) Evaluate " f SE*sin*0 +z)dzrdrde

A: We have to evaluate the integral.

Q: Q1/ Sketch x1[n] , x2[n] , x3[n] where : x1[n] =Sin(rtn) , x2[n]= e^( n), x3[n]=x1[n] - x2[n]

A: Graph of sin(πn)

Q: d Prove, through the limit process, that (cos x) = - sin x. dx

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