In 3. 1 %24 7. 8. necessary *, (, ), etc. ] [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the (x),4 h' (x) =| cos(sin %3D (2);" "( z ) + sin(z + cos(125)-5)) x 3 = (cos (t") + t)dt (z) us « = (x)4 - 5 Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: The derivative of the function y = (10e* – 10x*)(tan x) is: a. y' = (e* – 40x3) tan x + (10e* –…

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Q: -. For the function f, f '(x) =x² -1 and f(4) = -1. What is the approximation of f(3.9) found by…

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Q: Given f() following: a) g = = 6 and f'() b) h()-[ = - 6. Also let g(x) = f(x) sin(x) and h(x) - f(x)…

A: Given :gx=fxsinxhx=fxcosx

Q: 1.19. Evaluate the expression. a) sin [sin-1 (1) ] b) sec [sin-1 (1) ] c) sin [arctan ]

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Q: 2. Without using calculator, evaluate (a) tanh (3) (b) cosh ¹(2) (c) tan(tan (d) tan¹(tan 23

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find h'(x) if h(x) = 4 cos(x').

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Q: Q.2: Evaluate: cos³ x I = = =dx sinx Hint: Sin’x+ Cos'x =1

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Q: 3. In Example 1(a) we showed that f sin x cos* x dx = - cosx + cosx + C. Check that this answer is 1…

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Q: The function f, where f(x) = secx, has domain 0<x< and has inver %3D f-l, where f-(x) = sec-lx. Show…

A: The given function is f(x)=sec x and the inverse function is f-1(x)=sec-1x. To prove that…

Q: f(æ) sin(x) T Given f 5 and f' 6. Also let g(x) f(x)cos(x) and h(x) Answe the following: T a) g' ()…

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Q: Which of the following is not equal to the derivative ofy = (cos(x) – sin(æ))= A 2 (sin? (x) – cos²…

A: The given function is y=cos x-sin x2

Q: Let `f(x)= (9 sin x)/(2 sin x + 4 cos x)`. (9 cos x) (2 sin x + cos x) – (9 sin x ) ( 2cox – 4 sin…

A: Given f(x)=9sinx(2sinx+4cosx). The objective is to find f'x and equation of tangent line at π2.

Q: The derivative of the function y = (3e* – x²)(cos x) is: a) y' = (3e* – 2x) cos x – (3e* – x²) sin x…

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Q: Find all 0 in the interval 0 <0 < 2T satisfying tan(0) = - 0. Give all answers as exact values…

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Q: Example 6: Differentiate (a) y= sin(x²) (b) y =sin (x) %3D (c) y= e*cc30 (d) y=tan(4.x² –1)

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Q: Since the functions y cos(x) and y -1 = cos are inverse functions, explain why COS (cos(-)) is not…

A: use the range of arc cosx to find the values

Q: Suppose f ) = 4 and f' () = - = cos(x) f(x) ()- -2 and let g (x) Find g' 3 3 O 1-2/3 16 O 1+2/3 16 O…

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Q: If f(x) = ln 6x² +5 ( ) 4 - x 5 cos x f'(x) = find f'(x). Provide your answer below:

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Q: 3X Se ³x cos (2x) dx

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Q: = 4 and f Find the following. Suppose f 3. -5. Let g(x) = f(x) sin(x) and h(x) = f(x) 3 (a) g 3…

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Q: S Show that {cos(kt)} = $2+k2 using the following two facts: L{f'(t)} = sF(s) - f(0) and •…

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Q: if cos(x)=7/sqrt85 with 3pi/2<x<2pi what are: sin(x) sex(x) csc(x)

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Q: 9) Enter the exact value (no decimals) of the es Sin (Cos' (²)) =

A: Since you have asked multiple question in single window , as a guideline i can only solve first one…

Q: Explain why we can not easily evaluate expressions (a) sin r dr; (b) (updated) n² n³-1' NEZ\{1} Use…

A: Answered the first part. The integral ∫ℝsinxxdx can also be written as ∫-∞∞sinxxdx. The value of…

Q: A. cos (cos()) = | Select ] %3! B. If z < A< then cos- (cos(A) = 1 Select ) %3D

A: Part (A): cos-1cos5π4

Q: If g(x) = Cos x- Sin x 7T a) Find g) b) Show that g + x) = g(n – x) and g () 8. %3D

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