Suppose f(x) = 3x - a+ 4. Compute the following:

Q: 2x 3 dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) In (1²) If F(x) =

A: SOLUTION-

Q: Suppose that f(x) = 11e^(x) - ex^(e). Find f'(3).

A:

Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

A:

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

A:

Q: On which interval(s) is the function f(x)=(12/5)x5-3x4-8x3+5 increasing?

A: Given function is,

Q: Find a solution of by iteration for f (x) = x³ + x – 1 = 0

A: Given function is f(x)=x3+x-1=0 So we can write x3+x-1=0⇒x(x2+1)=1⇒x=1x2+1 Let ϕ(x)=1x2+1 Since…

Q: 4.Find f (1) for f(x) = x² + 5x + 2

A: Given: f(x) = x2+5x+2.

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

A: Given fx=4x-3.

Q: Find f(x) iff, (p) Hence deduce F .

A:

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

A:

Q: If f(x) = | V17+t³dt, then what is f(-1)?

A: Leibnitz Rule: Let f(x) be a differentiable function on closed interval a,b such that a,bare the…

Q: Find f'(0) for f(x) x = 0. 0,

A:

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

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

A:

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

A:

Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

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Q: Why is f'(x) approximated well by the difference quotient when Ax is very small?

A:

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

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)=[ -dt , find F' (3). 2t 2

A:

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

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: Consider x2 – 2x + 1 if x 1.

A: Given: f(x) = x2-2x+1        if x<-1xx+1               if  -1≤x≤0x-1             if  0<x<10…

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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

A:

Q: If f(x) = [(1³ + 6r² + 1) dt

A: Here, the given function is: f(x)=∫0xt3+6t2+1dt...(1) Note that, the Fundamental Theorem of Calculus…

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

A: Follow the procedure given below.

Q: Find f by solving the initial-value problem. f'(x) = 9x² + 6x – 9; f(2) = 5 - f(x) %3D

A: Given,  f'x = 9x2+6x-9  f2 = 5  We have to find  fx

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: f (x) = 3.x5 5x3.

A:

Q: Proceed as in Exercise 51 to calculate F'(0), where 3x + 5x* + 5x +1 F(x) = (1+x +x*/3 +x/³) : 8x9 –…

A: Given function is Fx=1+x+x43+x533x5+5x4+5x+18x9-7x4+1. First multiply the numerator.…

Q: Find the value for k so that the function will be continuous at x = 2. 4x + 16 if x 2

A: The function fx is continuous at x=a, if limx→a-fx=limx→a+fx It is given that fx=4x+16if…

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

A: Given fx=7x2+4x-1.

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x<0 Thus, the left hand…

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: Find f(4) if f(t)dt = x2 - 2x +1 Note: Write your answer only as an integer. Your answer cannot…

A:

Q: Solve the DE f'(x) = 5x given that f(0) = 3.

A:

Q: Can you apply Rolle's Theorem to f(x) = x3?

A: Given that f(x) = x^3 Since f(x) is strictly increasing continuous function , therefore     (1).…

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

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: z² – 4x + 4 Differentiate f(x)

A:

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: Let L(x) be the linearization of the cube root function at x=64. When using L(x) to approximate the…

A: The linearization L(x) for tge function f(x) at x =a is given as L(x) = f'(a) (x-a) + f(a)

Q: find f'(x) of f(x) = sqrt(e2x+2x)

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Q: Find $ such that D =F. x - hg - hp-

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Q: n x(0)=0

A:

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

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

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.