Let F(x) be an antiderivative of COs 2x sin 5x. Evaluate F(t/4) – F(0). 5 21 O 5 + v2 21 8. 21 5 – V2 21 None of these

Q: 18. Evaluate ſe3 cos 2x sin 2x dx 1,3 cos 2x + C c.e3cos 2x + C B. -e3 cos 2x + C e3 cos 2x D. 6 sin…

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Q: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

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Q: sin i dt 48. Let F(x) = | Show that x3 F(x) = x - x5 x7 +... 3. 3! 5. 5! 7.7! Evaluate F(1) to three…

A: Given integral is: Fx=∫0xsin ttdt Fx=x-x33·3!+x55·5!-........... We have to find F(1).

Q: Let ƒ be the function defined by ƒ (x) : = inflection? 0 x = Οχ Οχ O X || || || 3π 2 K2 K|4 K|2 π…

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Q: e for x: sin x - cos x = 0

A: There are more than one question so i will solve the first question. If you want answers of other…

Q: dx - - In[F(x)]+C. What is f(/5) ir c = 0? For I (x+x³)(x Tan-'x+ 1) A 3 B D + 3

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Q: Using the substitution t tar Ja dx sin(x)- 4 cos(x) can be written as © ofe 2/22²41-2 dt 21² +1-2 dt…

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Q: Let f (x) = sin(2r) and g(x) = cos(r) Select one: a. I am not sure (yet) b. f(x) and g(x) are even •…

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Q: Let F(x) = cos tdt. Use the Fundamental Theorem of Calculus, Part 1 to find F1(x). x cos x² 2x cos…

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Q: + The f(x) = Vx – 2 defined at (-0,2] T F

A: Given: fx=x-2 A real valued function is said to be defined in an interval I, if fx∈ℝ, ∀x∈I. Now if…

Q: Answer ALL questions. SHOW ALL WORKING BRFORE PICKING THE OPTIONS QI: Evaluate I = [x* In xdx (A) -…

A: Since you have posted multiple questions, we will solve only first question for you. To get…

Q: 2. Evaluate: S(cos x)(In sin x)dx A. sin x (1 – In sin x) + C C. sin x(In sin x – 1)

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Q: Use the figures to evaluate each function if f(x)=sinx,g(x)=cosx, and h(x)= tan x. g(α + β).

A: x2+y2=4 So,           at y=1x2+1=4⇒x=±3   Since the point is in first quadrant.  So,…

Q: -W cos+ s sin s²+w² S³ (s²_2s+2)(s²+2s+2)] S-3 (2-2) -s²-6s d. L-1 e. L-1 f. L-¹

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

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Q: a. Let In = strate that exp (nx) sin (exp(x)) dx. By making an appropriate substitution, or…

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Q: Evaluate f (3x + 5) cos dxusingintegrationbyparts O a. None of the following @ b. 4(3z + 5)sin () +…

A: Explanation of the answer is as follows

Q: Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

A: Given that fx = sinπx . Also given that h and k are two functions such that h'x = cosπx , k'x = fx+1…

Q: C A R F 1 V2 1 1 22. sin A = [ Select ] 23. cos A = [ Select ] 24. tan A = [ Select ]

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Q: a) Show algebraically that f(x) = g(x) for all x != 0. [Hint: cos2 x + sin2 x=1 for all x].

A: We will answer the first question. Please resubmit the other question in the compute science…

Q: Evaluate f 2ema cos (nx) dx 2ema [n cos (nx) a. m2+n? m sin (nx)] + C b. 2emz [m cos (пa) n sin…

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Q: Q4/ Answer the following (choose one) 1) Find F.T for f(t) = (1-5+(1-sin(21) 2) Find I. F.T for F(@)…

A: We will use the basic knowledge of Fourier transform to answer Question (1) because you have asked…

Q: What is the multiplicity of the zero p = f(x) = 2 – 2 cos x? of Select one: 1 2 3 4

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Q: Evaluate ∞ 0 COs ax x² +1 2 -dx

A: Here we have to evaluate the given integral.

Q: x 16. Evaluate sin dx. f x +C O O- 1 3 cos³x 1 3 cos³x 1 2 cos²x 1 O- + C +C + C 2 cos²x ONone of…

A: we have to slove above integrate