3. Considere la función e-2 sit > 5 f(t) = 2t si 0≤ t ≤ 5 To calculate {f(t)} using the definition, one must obtain: •too A) 2e-(0+2) dt B) [² foto e-(x+2)edt + + Sh 2te-stdt ptoo C) f.the 2te adt rtoo D) [2 2tedt + +1.00 e-(+2) dt

Q: f"(1) = 4 - 6/1* f(1) = 6, f'(2) = 9, 1>0

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Q: If f (x) =-+ sin x, 0< x < 2n, find f* and f". 2

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Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: Yandex Question If F (s) = then (s+1)?+4 f(t) = e-t cos(2t) - e-"sin (2t) f(t) = e³tsin (2t) %3D 1.…

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Q: f:1→1, (f(a)), =1 if n = 0 = n-a, – 1 if n= 0 (f(b)), = b, find b2010 - %3D

A: Given: f(a)n=1 if n=0nan-1 if n≠0and f(b)n=bn To find: b2010=?

Q: a2f, a2f ду? Q1: A- Show that + = 0, where f(x, y) = In(x? + y?) + tan-(2) %3D

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Q: 0 eg put (1) in f|L) = < ² cos(21), 3 siu (22), A 3√5 355 255 f(2)= < 3105 |24] 3sin (22) L

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Q: 15- Consider the table below. If f'(x)g(x)dx= 5 then what is the value of f(x) 2 f'() 6 -3 g(x) -4 3…

A: Given  ∫01f'xgxdx=5 and x 0 1 f(x) 2 4 f'(x) 6 -3 g(x) -4 3 g'(x) 2 -1

Q: d) Given that f(x) = e" – 2, find the domain of f-1 e) Let b, x, y E R* such that b# 1. Prove that:…

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Q: Show that : sup {reQ:r<a} =a, for each a e R. %3D

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Q: 20E22. For each pair of Eunctions 'in Exercise 17-34: 9) Find the domain OF f,9, ftg,P-g,fg,F5…

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Q: (x) is continuous function find A for the following: xy - x² = y² = x B- Find at the following: C-…

A: As per the guidelines I need to answer only one question at a time. Here all the questions are…

Q: 6. Evaluate: cin 4 a) (4x – 3) dx c) S* 2e* dx b) L, x²(-2x³ – 3)* dx d) ƒ dx e) S,(x + 1)(x² + 2x +…

A: (6) (a)To evaluate ∫254x-3dx Solution:…

Q: (h) S (z+1)(z*+2=+5)dx (Hint: consider f(2) logz (z+1)(2+2z+5) in a key-hole contour.) %3D

A: In order to solve this integral we need to divide it into partial fractions and then integrate…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: If you have any questions let me know in comment box thankyou for your question.

Q: Use the tabie of vaiues to evaiuate the f(e) g(x) 15 12 19 2 4 2 g(6)) 9{(7)) %3D %3D 9(9(8)) %3D 00

A: From the given table  When x=6, g(6)=4, and f(6)=1

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

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Q: Q5) consider the function f(x)= cos x-x30. Approximate a root of using Newton method .let xo= /4

A: Given function, fx=cosx-x To find the approximate root of the function using Newton's method.

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: Say whether the function is even, odd, or neither. 1) h(t) = 3t + 2 2) g(x) = cos x + secx %3D s +s7…

A: Let assume a function f(x)  f(x) is said to  Even if f(-x)=f(x) Odd if f(-x)= -f(x) It is neither…

Q: Use Newton's method to find the absolute maximum value of the function f(x) = 2x cos(x), 0 ≤x≤x,…

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Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

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Q: 18) y= x²arcfanx² 20) y-xsec5x 2 16.

A: 18. Given function to differentiate :       f(x)=x2arctanx2 Differentiate above function with…

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

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Q: Q5:111M) A) Let f: [0,2]R be defined by (3 if xEQ if xeQ fx) = (2) feRn [0,2]. Show that (1) / is…

A: This question is related to limit and continuity .solve in step 2.

Q: 6) Let f f(x)dx 16, f(x)dx 10, fdx 5 then f(x)dx = A)-1 C) 31 B)-11

A: