For what value of a is u (x.t) =e-cos(ax) a solution of u=u,? XX O a. 2 O b. none of the above O c. 3 O d. 1 O e. 0

Q: cos(iz) = 0 iff Select one: Зп + kT. a. 1 b. z = = + k. 2 T C. Z = + kT. 2 O d. z = k.

A: cosπz=0

Q: 3. sin x cos y dx + cos x sin y dy = 0

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Q: -1x 54cos If cos -1 00, prove that b. a x² 2xy ,2 = sin C. COS a+ ab %3D 2

A: Introduction :

Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: Find x where 0 <x < T. 2 cos?x = 1 Enter the smaller answer first.

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Q: 1. Let a e (5, 7) and 3€ (0, 5). Let sin a = 0.1728 and cos 3 = 0.6112. Determine the value of the…

A: To find out the value of the trigonometric functions.

Q: What is S² S 2 9. b. C. k|x EN d. = www 2 sin 0 1 r cos² 0 drd0?

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Q: 37T .27 such that cos a = 2 2 Determine the value of Let a E CSc a.

A: Let's Solve,

Q: 1. The expression sin(x +y) +sin(x-y) is equal to A. 2 sinx siny B. 2 sinx cosy C. 2 cosx siny D.…

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Q: Evaluate Σ/ n=0 pr+1 1 1 + x² dr.

A: Let's solve given summation integration.

Q: What is the exact value of A B C D -√6 2 -√√2 √√2 cos()-cos(#), OS √6 COS

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Q: If u = tan- the value of x2 +y? +xy du du at x = 1 and y = 3 is

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Q: Evaluate the principal value of Cos ¹(-3+j).

A: Use the definition of the inverse of cosine function: y=cos-1x, then x=cosy, 0≤y≤π Now consider the…

Q: 3. For E= r2 cos Of + cos o8 find V · (V × E).

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Q: dy and y= cos't then dx If x= sin?t O -1 O 2 O None of these O -2 1

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Q: Which expression is equivalent to cscαsin(α−β) for all values of α and β for which csc α sin(α−β) is…

A: Given: Which expression is equivalent to cscαsin(α−β) for all values of α and β for which csc α…

Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

Q: 5. 2 cos (0)+3cos (0)+1=0

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Q: Evaluate the principal value of sin(3 + j4) O a. none of the above O b. 2.51 - j2.31 O c.2.31 +…

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Q: Wa aties will swhve r A in 40 Co40 4. co 4 40

A: In the given triangle , the length of the side adjacent to 40 degree is 5 The hypotenuse is x We…

Q: Evaluate cos(0) when 0 %3D

A: To evaluate the value of cos theta.

Q: Differentiate y = sin (e) 3x O a. 3e3 cos e3 e3x O b. es cos e c. 3e2 cos e2a Od. O d. 3e" cos e

A: Recall:  Chain Rule of differentiation :        If f and g are both differentiable , then…

Q: Oz Let sin z = xz+ xy?. Find I+z+y? O a. COS Z y2 O b. COS z-1 c. z+y? COS z-I O d. y? COS Z-I e.…

A: Given that: sinz =xz+xy2

Q: J. PIove the following identity 1 COS X tan2. 2 %3D 1+ cos x

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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: 3. SOLVE FOR A, ON [ 0, 2 PI): COS (A) = - 1

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Q: where is unknown. and X₁, X2,..., Xnd Exp(0) Ho: 0= 2.0 vs. Ha: 02.0 Ô =X 2.2 n 100

A: Given  n=100, sample mean x̄=2.2  Level of significance ɑ=0.05

Q: EVALUATE. S dx Va+b tan(x) 2/a+b tan(x) + c

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Q: 1-cos A + sin A 1+ sin A 2 sin A If y = then 1+ cos A + sin A is equal to A. В. 1- y 1+ y C. D. An…

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Q: f cos √2x dx

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Q: If y = 8 sin 2x cos 2x, then A 128 sin 2x cos 2x C. 64 sin 4x B. 128 sin 6x D. 8 sin 2x cos 4x

A: If , then to find .

Q: S= dx 3+ sinx+cos X

A: Given integral is ∫dx3+sinx+cosx Concept: 1. The derivative of tan-1x is ddxtan-1x=11+x2. 2. The…