e sin z -I lim z+0 16 cos z – 16 (Us

Q: If z = cos (x + ay) + sin (x - ay), with a ∈ R, then the result of a(∂z/∂x) + (∂z/∂y) corresponds…

A: If z = cos (x + ay) + sin (x - ay), with a ∈ R, then the result of a(∂z/∂x) + (∂z/∂y) corresponds…

Q: Si sin“ (3y) cos® (3y) dy 128 2340135 128 780045 O 9.64 x 10 4 O 2.89 x 10 3

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Q: Given f(x,y,z) = cos(4xy) + sin(4z). Find f,(8,9,0)

A: We can find the answer as below.

Q: (x²+y² 4. If u = sin-1 ( ) then prove that by Euler's theorem, x+Vy. ди X + y: дх ди 3 tan u. 2

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Q: 3 7 cos z Evaluate the definite integral: dæ sin x 6.

A: Evaluate the Definite Integral : ∫π6π37cosxsinxdx

Q: If f(z) = 2 sin I +3 cos z, then f'(x) = %3D

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Q: Q1. If f(x.y,z) = cosh²(\x² In y) + tan-(ey*NE) + sec*(sin Vz In x²) Find fx, fy, fz fyx

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Q: To evaluate 3cos x=1 dr. the integrand can be transformed to 1-sin2x A.) S(3cos³x + csc?x)dx B.) 3…

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Q: R4 for g(x) = cos(xx) on [0, 1]

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Q: dy if y=| cos Ode dx if y= [ cos Od0. Use the Fundamental Theorem to find 3

A: We will use newton leibniz theorem to answer the given question .

Q: ди k > 0 at Ans. u = e'(A,eka! cosh ax + Bjekai sinh œx) u = e¯'(A2e' u = e"(Azx + B3) k ¯kai 'cos…

A: The given problem is to find the solution for the given partial differential equation in different…

Q: the area outside r = 1 and inside r = 2 cos 0 is

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Q: +tlnt +tInt If x=sin and Jy= = cos prove that y"=c constant +eco te'

A: Given: x=sint2+tlntt4+etcost and y=cost2+tlntt4+etcost

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f;(5,5,0).

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Q: find the given limits

A: we have to find the limit limt→-1t3i+sinπ2tj+(ln(t+2)k

Q: The coefficient of sin(x) in the antiderivative of Flx)=(cos() is 15/32 (use fraction form not…

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Q: 1 – cos(xy) - lim (x,3) → (0,0) x²y²( – 9 + y) Evaluate Use DNE for does not exist, oo for infinity…

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Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(8,2,0). Leave your answer correct to two decimal…

A: Partial differentiation of f(x,y,z) with respect to x is calculated by treating y and z as…

Q: The following DE sin(x) +y cos(x) = 1 can be written as: dx Cos(x) sin(x) None of These 1-cos(x).…

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Q: (x cos + y sin?)y – (vsin? -x cos?)* х — х COS = 0 Ans: xy cos = c (Lucknow, 1997; Kanpur, 1996)

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Q: Given that: z = y sin(2x) + (1+x²)e* + cos x tan¬1(y* + 1) In(y6 + 137)

A: z=ysin2x+1+x2ex+cosxtan-1y4+1lny6+137 Differentiating wrt x, we have…

Q: The "equation cos x "y sin x is A Iny In (cos x) + k B Iny = In (sin x) + * c. Iny=-In(sin x) + k…

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Q: Hi, there are two questions a) and b) attached  Thanks so Much!!!!

A: (a)consider the given complex number:

Q: (1) sin (z + y) com ( z + v) (2) COS

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Q: If f(z) = 1+ sin z %3D Then d 1+ sin z = sec z (1+ tan z) COS Z zp cos z

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Q: tan? z sec? x + sec a Prove 1-cos I

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Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f,(5,5,0). Leave your answer correct to two decimal…

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Q: a. Show that If z = x+ iy where y 1 b. Evaluate: cosh?(-z) – sinh²(z)

A: Given that z =x+iy For a part , y<0 and we need to prove that | eiz | >1 For b part, we need…

Q: a. Show that If z=x+ iy where y 1 b. Evaluate: cosh (iz) + sin (2)

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Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f:(5,5,0).

A: This question is based on Partial derivatives.

Q: The coefficient of sin(2x) t F(x) =(cos() is Blank 1 (use fraction form not decimal no space) in the…

A: To determine the coefficient of sin2x in the antiderivative of Fx=cosx26.

Q: The function z = cos 0, y = sin³ 0 where 0 < 0 < 27. Use the x2 Vy is defined on the astroid x = dz…

A: The chain rule is stated as follows:

Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) Oe2 0 0 O cos 2 O-sin 2

A: The given function is: fx,y=excosy   As we know that; The common derivative; ddxcosx=-sinx And…

Q: Let y+ 2 sinty) - 2-e. Then y at x=0 O a 2 O .1 Oc2 O d.- 1

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Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x)

Q: e sin a – x lim 10 10 cos x- 10 O - 0.2000 | O 0.1000 O - 0.1000 O 0.2000

A: Use L hospital's rule as it of indefinite form. So differentiate the numerator and denominator both…

Q: 7. Prove: (a) sin iz = i sinh z. (b) | cos z|? = cos² x + sinh° y where, z = x + iy. COS

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Q: Given: y = sinh(ln(cos a)); Find y'. O (E) None of these O tan(x) sinh(In(cos x)) O sinh(ln(cos r))…

A: Given y=sinhlncosx To find y':

Q: 4. tanx dy + y3 sin? x dx %3D 0, whe х %3D0, у%3D 1 о у?(3- сos 2x) %3D2 о у (сos 2x - 2x) %3D 1 о…

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Q: Let F = Vøwhere o = et cos (Vy – x). If C is the cardioid defined by ((2 + sin 0) sin 0, (2+ sin 0)…

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Q: 2) en forma de hélice x = 2 sen t, y = 2 cos t, z = 3t, 0<1< 2# y función de densidad p = 5.

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Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you…

Q: 0.5 COS T - In(4 sin z) dz. J0.1

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Q: dy is let y = cos(In(cos(x))), then da

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: dy If y-3z sinh p z cosh y is exact, then n

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Q: Let y=4 In(cos(e3). Let y=4 In co: = Aeßt sinC (e3t) Then dt cosº (e3t) where A = B = C = D = I| ||…

A: y = 4 ln (cos(e3t))