Open your tool box and find geometric methods, symmetries of even and odd functions and the evaluation theorem. Use these to calculate the following definite integrals. Note that you should not use Riemann sums for this problem. (a) (4 pts) (b) (2 pts) 3 S³ 0 3-x+9-dz x3 + sin(x) x4 + cos(x) dx (c) (4 pts) L 1-|x|dx

Q: Find the first and second derivatives of the function. f(u) = √7 3u − 3 f'(u) 2 (7-34) (½) f"(u) = 9…

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A: Step 1: Step 2: Step 3: Here the graph of the function.

Q: Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All…

A: Key references:https://youtu.be/TxPDQfWeAUg?si=auU0w_nfOyr6mRyU

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Q: z = x²+xy³, x = uv²+w³, y=u+vew Əz then find: when u = −3, v = 2, w = 0 მო

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Q: Could you explain this using the formula I attached and polar coorindates

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A: Step 1: Step 2: Step 3: Step 4: Step 5:

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Q: the answer is C, could you show me how to do it

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A: Step 1:   Step 2: Step 3: Step 4:

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Q: Question 8 Find the domain of y = log(62x). The domain is: Question 9

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Q: j) f) lim x+x ex g) lim Inx h) lim x-5 i) lim arctan x x700 lim arctanx 811x

A: Final Answers: (f)limx→∞​exx​=0. (g)limx→∞​lnx=∞. (h)limx→∞​x−5=0. (i)limx→∞​arctanx=2π​.…

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Q: EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx…

A: Question 1Explanation:   Question 2or,  ∫1+25x2tan−1(5x)​dx=101​(tan−1(5x))2+C

Q: show work

A: Okay , so here are the solutions. 1. sec²θ - 1Using the identity: sec²θ = 1 + tan²θsec²θ - 1 =…

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Q: Solve please

A: Here is the step-by-step explanation:Given:Temperature as a function of height:…

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A: if doubt arises please mention in the comments.

Q: 53,85÷1,5=

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A: Step 1: Step 2: Step 3: Step 4:

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Q: 5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.

A: Step 1: Step 2: Step 3: Step 4:

Q: (4,4) M -4 2 2 -4 (-4,-4) 4 8 10 12 (8,-4) (12,-4) Graph of f The figure shows the graph of a…

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