5 Let F(t) = 4t*i + 2 sin(5t) j+ 3e“k and G(t) = - (cos(3t)) i – j+ k , find F(t) · G(t). ( 10 sin(5t) А. + 3e* ) i - (20 + 3e* cos(3t)) j + (-4tt + 2 sin(5t) cos(3t)) k t4 15e4t В. — 4t4 сos(3t) i - 2 sin(5t)j + -k 15et с. — 4t сos(3t) — 2 sin(5t) + t4 15et -4t“ cos(3t) – 2 sin(5t) + t4 D. 10 sin(5t) E. + 3et – (20 + 3e“ cos(3t)) + (-4t“) +2 sin(5t) cos(3t) t4

Q: Show that tan(y) sin(y) += cot(y) + sec(y) csc(y) 1+ cos((y) 1- cos(y)

A: NOTE: Refresh your page if you can't see any equations. . use cross multiplication

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A:

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A: To prove that,3 sinx-4 sin3x=sin3x

Q: Let f(x) = 8 cos x + 5 tan æ f'(x) =-8 sin(z) + cos(z)2 r(#) = 37 Find the exact trig values for…

A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

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A:

Q: a dx = 1+ sin(ax) Select one: a. tan(ax) – sec(az) + C b. ax + In | csc(az) – cot(az)| + C c. In |1+…

A:

Q: Determine if the setsin² {sin²x, 1-cos(2x)} is linearly dependent or linearly independent on I =…

A: Let B={sin2x,1-cos(2x)}.

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A: a=2 b=-1 c=3

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A: a) Use quotient rule of derivative and find the derivatives of above function.

Q: Find f. f"(x) = 5 + cos(x), f(0) = -1, f(9π/2) = 0

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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A:

Q: ution t= tan 2 tan). os(x)

A: We have to choose the correct answer from the given option

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A:

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A: Given  cos(u)=−23sin(u)>0

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A:

Q: Evaluate: 4S d sin(t?)dt dx x 3x²sin(x“) – sin(x²) b. 2x°cos(x°) – 2xcos(x²) a. 3x²cos(x^) – cos(x²)…

A:

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A:

Q: (1 point) Approximate cos(4.6) using a quadratic approximat First note that cos(4.6) cos(3/2). Let…

A:

Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

Q: (b) Verify that f(x) = 2 cos(x) sin(1x). f(x) = sin(6x) + sin(7x) = 2 sin = 2 sin 6x + N 2 X COS 6x…

A: Given

Q: a Show that (sin(m + n)x + sin(m – n)x) b Hence, without using the product rule, differentiate sin…

A: We will find out the required values.

Q: 2T d) f(x)=5 sin (x+1)+2 e) f(x) = -2 cos 2(x+ 1) + 1_ 17. Find the rule of the sinusoi

A: