Find all critical numbers of the function f(x) = sin²6x + cos6x¸ 0

Q: if 2E2, f(2)= 12₁² find @if 20 then f/2) not exists Oif 2=0 then find f(z)

A: Given that fz=z2, then find  1) If z≠0, then f'z not exits. 2) If z=0,then find f'z.

Q: Gine doaye 2) Find the extremé values on the interval. g (0) = sin 0 - cose, [0,2m] (a) 9Ce)-2sind…

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Q: Letr> 2. Show that sin² r - sin² 2 r-2 < 2. Justify your answer. Hint: Apply the Mean Value Theorem…

A: Let r&gt;2.   To Show: sin2 r-sin2 2r-2&lt;2.

Q: 4) Consider the function defined by 10) = /3 (sin (5 + *)) (증+0)) +4 V3 sin (+t) + 4+ V/3 (cos G…

A: we have to show that f(t) is a constant

Q: Determine if the function f(x)= is continuous -- sin(x) x on the interval I= (0,1).

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Q: If a function is of the type y = A sin(B(x - C)) - DMath output error and the amplitude is 3, there…

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Q: Which of the following is an "even" function of t? O sin(t) / t O sin(2t) O 1-t^3 O cos(t) + t

A: Consider the function ft=sintt, gt=sin2t, ht=1-t3, kt=cost+t. Substitute -t for t in the functions…

Q: Show that the extreme values of f(x) = a sin x + bcos x tVa2 + b2. are

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Q: 4. Solve for k s.t. the function is continuous 9 – x2 f(x) = x # -3 x +3

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Q: shown in the figure. Where is f'(x) < 0?

A: Given graph of function is

Q: √4x+4-√√5x+1 x#3 Q18) if f(x)= x-3 k x=3 A) 15) 1 C)O by Q19) Use local linear approximation in ind…

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Q: 921) Which of the following is an odd function A) cos xsin x 11 sec.x C). DUNK DOOV

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Q: 2. Height travel by the rocket in first 6 seconds is given by s = (5 103) || In (T00-4) dt- 180…

A: I am attaching image so that you understand each and every step.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ●コヅシッシ 2*@*!??!!??! ¿¡ !?! Wa - XXX O * Take Aeikx+ Be-ikx &♪…

A: To Show: Aeikx+ Be-ikx = C cos(kx)+ D sin (kx) Now, cos(kx) = (eikx+ e-ikx)/2 sin(kx) = (eikx-…

Q: sec? r da = F(x)

A: Given- ∫0π4sec2xdx=Fxab To find- The value of Fx Identity Used- ∫sec2xdx=tanx

Q: sin x -dx 1 7/4

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Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

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Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant…

Q: Evaluate:a. √64    b. -√49  c. √1/4  d. √9 + 16   e. √9 + √16.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Dw many critical points does the fu

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Q: X1 X2 X3 S2 R.H.S 1 9-0 11-20 7/30| 24-30 X1 1 6. 2/3 -1/6 6 X2 -1 -1/3 1/3 12 a) O<O9 b) O<O520/3…

A: Remark: Optimality condition for Simplex method:  The Optimality condition is reached at the…

Q: 12)The range of the function f(x) = sinx -1-2 is the interval : a)o 치 b) (x+10) {(a-10)] c)O d) O…

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Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: 11. If f(x)=-4¹, g(x)=√√x and h(x) = f(g(x)), determine h(-4)? ✓✓✓ Si7s100

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Q: 4. Prove that the interval (0, 1) does not contain a smallest value x.

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