The approximation of I = , cos(x³ - dx using composite Simpson's rule with n 3 is: 3.25498 None of the Answers O This option O This option 73 F Partly s 近

Q: i. An V21+3n an = 2¬" coS NT

A: We have to check whether given sequence is convergent or divergent. If convergent then find it's…

Q: Given pair of functions is (sin3x,4sin3x) O a. Linearly Independent O b. Linear O c. Nonlinear O d.…

A: The pair of  differentiable function is linearly dependent if the  Wronskian is zero and is linearly…

Q: II Evaluate the following by simple substitution: (x+5x²+4xY X-1 2. S sin24xcos4xdx

A: 1.∫x3+5x2+4xx-1dx Let x-1=t ⇒dtdx=1⇒dx=dt So, x=t+1 Now x3+5x2+4xx-1=(t+1)3+5(t+1)2+4(t+1)t…

Q: Use a sketch to find the exact value of the following expression. in-¹(-1)] tan sin Which of the…

A: According to question,Given expression,tansin-1-1517

Q: Which of the following is equal to Sin-1(-2-j2.5)? O 0.1343- j2.3445 O -0.5409 - j2.8003 O…

A: Note:-  sinx+j y =sinx coshy +j cosx sinhy  sinx- j y =sinx coshy -j cosx sinhy   Given expression…

Q: cos*x If S(cos³x ·B) dx = + C, what is the B? 4 А. - sin x C. - COS X . 1 В. D. sec x CSCX

A: We have to find the value of B in the given question.  This question can be done by using…

Q: for v= -1/2 cos (2x) where is -1/2 coming from? In the final answer, where does 1/4 come from?

A: Solution ⇒    Given function  ∫udv=∫x×sin⁡(2x)    here  u=xanddv=sin⁡(2x)…

Q: os−1(-1/2)

A: Given: cos-1-12

Q: 5. Use substitution to find S sin1º0 cos 0 d0.

A: We will find the integration.

Q: 3t test cos 6t

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Q: Find the value of x. 96° (2x+1)°

A: We know that the angle substended by an arc at the centre is twice the angle substended  at the…

Q: Which one of the following is NOT a solution of  sinx(2cosx+1)=0 a. 7pi b. 2pi/3 c. 5pi/3 d.…

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Q: Graph the following function from x = 0 to x= 4x. y = -3 cos? -12 37 27 57 37 7n 47K 2 :1 1/7 37 2n…

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Q: Find cos . r (10,-√21) ? ㅁ Enter

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Q: Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the…

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Q: What is the value of x? √2 cosx-1=0 2sin3x+1=0

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Q: sin x 6. Evaluate dx. 3 cos x

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Q: 5. Evaluate the following: a. L{4t³+12t² - 5} b. L{3e³t+2 cos 4t} C. L-1S-3 L-1 (s² +9)

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Q: The approximation of I = tanx dx using composite Simpson's rule with n=5 is: None of the choices…

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Q: Differentiate. y= x° (5.4)* In(5.4)x (5.4)*+ 3x²(5.4)* O In (5.4) x(5.4)* + 3x² (5.4)* O x³ (5.4)*…

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Q: Evaluate e sin x cos x dx using Simpson rule with h 20

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Q: x15 dx 101. Evaluate using the properties of odd functions. Lg 3+ cos? x

A: Now consider,

Q: Why is t between 0 and pi?

A: ∫C2+x2yds, Where C is the upper half of the circle of the unit circle x2+y2=1