10. Which one is the arc length of the given f(x)= c)1 + √2 A) 2 + √2 11. Which one is the antiderivative of f(x) = (1+cox 3x)³ 3 A) -(1+cos3x)³ B) 2-√2 A) 27 B) 12. Which one is the value of f B) 36 3x³-√3x²-2 X (1+cos3x)² csc 3x C) dx? Vse c) 48 D) 2√2 D) 3(1+008 3 D) 54

Q: Calculus Question

A: From the given data:

Q: #2) Use miapt nle w/ n=3 to approx intgral. b. (Si) AX= b-a→ 9-14 n 3. Xo =9 X2 = 5.4 Xz=3,1 %3D %3D…

A: Given: By midpoint approximation, the definite integral can be expressed as, Where ∆x can be…

Q: 27. What is the simplest form of sin 2 tan'x A) 1+x B) 21+x? 2x C) 1+x 2x D) |1+x?

A:

Q: Q4: A) Find one of the following: 1) If x=0-sin(0) and y=1-cos(0) find the length of the curve…

A: If  and , then to find the length of the curve between .Note: Since the student has posted multiple…

Q: r) x²(esinx) s) e*[ln (cos x)] (m sin 3x t) e2x x COS X u) ex リこ Sm

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Q: 1. Differentiate: y = √2 - 3x²

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

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Q: Finel (f)'ce) a If foo = 2x²+ 3x² + Fx +4, a=4 b) IF F = 3+x + tan(x), -1<xal, a=3

A: Answer

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: calculate d cos(u) for following choices of U(x) d u«)=10-x, ax Cos(UCx) = uc^)= x? corfuca) ulx) =…

A: The general rule for the derivative ddxcos(u(x)) is the following. By the chain rule,…

Q: , if f (0) = 1 find f(1) s xf'(x)dx = 2x³ + 2x² + c O A) 5 O B) 15 OC) 10 OD) 7 O E) 8

A:

Q: Which one is not equal to o V(x + 3)³ dx. lim, 100 E i=n-1 (음 + 3)3. O lima-00 1ri=n-1 Li-0 2i+1 +…

A:

Q: 3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use…

A: a) There is no other x outside the square root, so that -2x could cancel.  So u-substitution will…

Q: | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Given f (x) = sin(x) + 3 and g(x) = 2 (x-4)², evaluate (f+g) (8). a) 36 b) 35 c) 67 d) 39

A:

Q: 5 TỔ - g'(4) = ? 14. g(x) = (x) - A(4.2) y = f(x)

A: Given g(x)=f2(x)-5f(x)g'(x)=2f(x)f'(x)+5f2(x)(f'(4))

Q: 19. What is the number of zeros of the function f(x) = e* – sin(x)? O a) It has no zeros. O b) It…

A: Graph the given function as shown below:

Q: If  u=sin(x+2t), then (∂2u/∂x2)=(?)(∂2u/∂t2) What is the coefficient of (∂2u/∂t2)? a) 2 b) 1/2…

A:

Q: 11. Find the value g"(4) for the function g(t) = 3t° + 6t° +1. 734,208 A) 430,080 B) 221,185 430,081…

A:

Q: Vee the definition of the downtie! Find filx) then find fil-2), f'(0), and fi(3) 12 - X 3 b.) f(x) =…

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Q: C)u= Inx, dv = ln x. dx (5) If x = 5sine,≤0 ≤ C#/2 D)u= x,dv= Then tan 0= A) 11 √25-x² B) √25-x² T…

A: Given that, x=5sinθ , -π2≤θ≤π2⇒sinθ=x5

Q: 18. Evaluate L (s² + 1)²

A:

Q: Evaluate i) A (x +e* + 2) _ii) A sinh (a + bx) iii) A cosh (a + bx).

A:

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Q: 1 b)y" + y = ; 1+sinx

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Q: 2 Given that: J2(x)=-, cos.x + sinx find J(x)

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Q: Knowledge/Understanding Multiple Choice: [ 1. Derivative of f(x) = cos²x a) 2cosx 2. Derivative of…

A:

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC