A table of values of an increasing function f is shown. X 10 14 18 22 26 30 f(x) -11 -8 -1 1 3 7 30 Use the table to find lower and upper estimates for f(x) dx. (Use five equal subintervals.) 9

Q: ∫(2 cos(x) − 7sinx(x))dx   Evaluate indefinite anti-differentiation

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Q: 2) Use the definition of the derivative, f'(x) = lim Ax-0 derivative of f(x) = 5x² + 3. f(x+Ax)-f(x)…

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Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t p j+126t2 k, 3≤t≤6

A: r(t)=t3 i +t j+126t2 kdxdt=3t2dydt=1dzdt=252 t3≤t≤6

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A: r1(t)=6t i+ 4t2 j+ 4t3 kdr1dt=6 i +8t j +12t2 kr2(t)=t4kdr2dt=4t3 k

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Q: Question 20 Find the derivative of y = log₂ (x - 2)³ 1/(In2)(x-2) 3/(In2)(x-2) 2/(In3)(x-2)…

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Q: compute the surface area of example 9.10.2 by rotating f(x) = √x around the x-axis

A: Given

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Q: f[in (w) ² ] ^ 4 3 dw

A: ∫lnω24ωdω=∫2lnω4ωdω=∫16ln4ωωdω=16∫ln4ωωdω Substitute u=lnω⇒dudω=1ω⇒dω=ωdu; 16∫ln4ωωdω=16∫u4du…

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Q: 10 F [TOF If f(x) dx = 16 and 5 Isro f(x) dx 10 f(x) dx = 5, find the following. S

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Q: sin $3xcos 3x dx

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: This question can be solved using the concept of mid point rule of definite integrals.

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

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A: Given,             Suppose that f is integrable on -4,7. The average value of f on the interval…

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A: Write in Polar equation

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Q: Step 4 Thus, (x x cos(8x) dx =

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Q: ∫ sin4x dx

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Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

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A: The detailed solution is given below Thank you

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A: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

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