2. Which function below is even? Explain your answer. 1) f(x) = sinx %3D 2) f(x) =x² – 4 3) f(x) = |x – 2| +5 %3D 4) S(x)=x* +3x³ +4

Q: 3. Let f (x) = vx and g(x) = x + 1. Determine all possible values for which f(g(x)) = g(f(x))

A: Function composition of two function f(x) and g(x) is the process of forming a new function h(x)…

Q: If Sa f (2) dr = A and f f (x) dz = B, then f f (x) dx = 100 100 %3D %3D %3D

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Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: QUESTION 19 Find the points of inflection. f(x) = 2x³ + 2x+6 O (2.0) O (0,6) (6,0) (0, 2)

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Q: Consider the following functions: f(x) = 4 – x², g(x) = 7x + 2 and f + g ()(-1). X-4 h(x) = Evaluate…

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Q: ht Po - Fx)G(X) and Qx) = Fx)/G(x), where F and G are the functions whose graphs are shown. (a) Find…

A: For finding the derivatives of F and G at 2 and 7 , first we have to draw the tangent line at that…

Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

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Q: Given f (x) = – 1) x- 1 find f(2 a) %3D (x² + 2)

A: Given function

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A: (1). From the given function: fx=4x+1 ; gx=2x2-2 First, we have to find fog(x). So,…

Q: Given that f(x) 2x+7 %3D 3x-5' determine the equation of f-(x)

A: The given function is fx=2x+73x-5. Let fx=y. y=2x+73x-5 Replace x and y as follows. x=2y+73y-5

Q: 19. (2 points) Let ƒ be an even function such that = 216 and f(x) dx = 240. Evaluate (2 - 2)5(#) dz.…

A: The given data is : ∫03fxdx=216  and  ∫-23fxdx=240 To find: ∫-22x-2fxdx…

Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: A. Given f(x): 3x²+2x+1, Find f'(x)

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Consider the function below: The function has 3 roots at -1,+1 and -2 f(x) = x3+2x2-x-2 g(x) =…

A: Solution:

Q: Si(x)-()* and £2(x)-(+) = fill in the blank (more/less): 10 rapidly than ₂ 4. Given the functions…

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Q: Can you explain step by step

A: Step 1:Step 2: Step 3: Step 4:

Q: X(t) A t T/2 -T/2 As shown in the following diagram, rectangle function x(t)=x(-t) so it is also…

A: If we replace t by -t and check the value of X(t), we will observe that X(t)=X(-t)

Q: For the functions f(x) and g(x), evaluate the indicated function. 3) Find (2) when f(x) = x - 1 and…

A: See the details solution Below

Q: I need help with the graphing part

A: a) (f∘g)(x) is the graph obtained after moving/shifting f(x) Horizontally 4 units to the left. b)…

Q: At what value of x does the function f(x)=x' -3r? -9x change from deceasing to increasing? 1 -1 Find…

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Q: Express the following functions in the form u+iv f (2) = In(2)

A: We know that the complex number z=x+iy can be expressed in the form z=r·eiθ where  r = x2+y2 and…

Q: x+3 6. Sketch f (x) x²-4

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Q: Find f 1+x² (1-x²)√1+x4 dx

A: ∫1+x21-x21+x4dx Note:- As per the company's guidelines, we are supposed to solve the first question…

Q: 9 | f(x) dx = 2. Find 8. f(x) du . 8. 3) Suppose that 6f(x) du and 8.

A: Answer

Q: 8. Find f (x) for f (x) = -

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Q: what is the multiplicity of each zero of the function below ? step by step please

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Q: 2) f(z) = 322 + 솔 3z²

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Q: 3x² -7x+8 Let f (x) = Find f' (x) sin (5x²+9x-6) mil nction/that sati

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Q: dx = In[F(x)]+C. what is F(/3) if C = 0? For (x+x³) (x Tan-'x + 1)

A: We will integrate the function first.

Q: If f(x) f"(2) = x2 4 + X find ƒ”(2). x

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Q: If f(x)=xcos x , then f'(E) equals +1 (e) 1-2 (b) (a) 2 (d) (e) none of these - 2

A: Given  f(x) =x  cosx Find: f'π2 Solution: Formula: ddx(uv) =udvdx+vdudx       ---------------(1) Let…