2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

Q: 4. If [æf (x) + 2] dæ = x³ – a² then find the function f (x). 3 A) 2 3 B) 2+ C) 3- 2 E) 2– D) 3+ --…

A: The given equation is x∫x fx+2dx=x3-x2.

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: b) Given h(x) = 3x² + 2x and f(x) =- Vx – 2, find (h • f) (x + 2)

A:

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

A:

Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

A:

Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

A:

Q: 15. With f(x) = 3x +1 and h(r) = 2x – 4, find (f oh)(5) - %3D

A: we know that  (fog)(x) = f (g(x))

Q: Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤ 5 and the range of f(x)…

A: Given: The domain of fx is 1≤x≤5 The range of fx is -3≤y≤6

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

A:

Q: 2. Supposef(x) = 5ax³ – 6x² – b²x – 7, and g(x) = cx* + 10x³ – (d + 1)x² – 4x + e. Find values for…

A: The given polynomials are fx=5ax3-6x2-b2x-7 and gx=cx4+10x3-d+1x2-4x+e. We have to find the value of…

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

A:

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: 2. If f(x) = 1 + x², find fof 3.lf f(x) = -x, g(x) = 2x + 1 and h(x) = x², find fogoh,

A:

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: Consider x2 2x + 1 if x 1.

A:

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: 9. If f(x) = kx – 1 and f'(15) = 2, find k. %3D -

A: Given f(x)= kx3 - 1 and f-1(15)=2 then we have to find out the value of k

Q: Suppose f(x) = v9 +x - Vx – 6. Find all x-values satisfying the equation f(x) = 3. %3D

A: Given Data: Function: fx=9+x-x-6 Condtion: fx=3 Use substitution method to find the values of x for…

Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

A:

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7. %3D

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: The antiderivative of the function f(x) : .2 + 11x³ is, 4 - + 2.8x4 + c - -11 + 1.2x* + c -5 + 2.8x…

A: As we know that if we need to find the antiderivative of f(x);   So,   ∫fxdx=Fx+C   From the given…

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

A:

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

A:

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

A:

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A:

Q: f(x) = Vxe-x/2 is inc decreacing

A:

Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

A:

Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

A:

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

A:

Q: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

A:

Q: Find f for the function z = - 3x6 0 02-30x4 ex ax = ex 7x8 1 8 6x 02-02-63 x = 6xy + 4y2.

A: This question can be solved using the concept of partial derivatives.

Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: Find f(4) using forward, backward and central difference of: (3 – 2x)² f (x) : |- x2 Step size = 0.2

A:

Q: Find an antiderivative of ƒ(x) = 3x2 that satisfies F(1) = -1.

A: f(x)=3x2, F(1)=-1