4) Find C and a so thatf(x Ca satisfies: f(0) 0.5 and f(2)-8 5) Find Canda so that f(x)-Cax satisfies: f(0) = 5 and f(2)=0.45

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A: Answer

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Q: Q2) Find the values of constants (a)&(b) that makes the f(x)= ax + b 3 (-3 x≤-2 -2<x<4 x24 Con

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Q: Find the general solution of  f '(x)=(1/x2) , x>0 and f(1)=0

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Q: 3) Given that f(x)= 3x + 7 g(x) = 4x + 5 and h(x) = 3x – 5 %3D 3 2х Find:- i) f(-3) = ii) g[f(-2)] =…

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Q: The absolute maximum value of the function f(x) =x3 – 12x +4 on the closed interval [-1,3] is equal…

A: Topic = Application of derivative Absolute maximum value is 15.

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A:

Q: The function f(x) is invertible. Find (f-1)' (-8) given that f(x) = -x³ – 4x – 3.

A: f(x) = -x3-4x-3 We will use the formula for the derivative of the inverse function: f-1'x0=1f'(x0)…

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A: Given that, f(x,y)=x2-2xy+y Take the derivative for x, fx=2x-2y Take the derivative for y, fy=-2x+1…

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A: Given: g(x)=2x−1h(x)=g(2x−1)

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

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Q: 2. Consider the problem u"(x) + u'(x) = f(x) u'(0) = u(0) = [u'(1) + u(1)], with f(x) a given…

A:

Q: 5. Given that f(x) = 6x3- 15x^2-21x + 1. Which of the following is not true? %3D a. The vertical…

A: Our objective is to choose correct option.

Q: 4. Prove that if f(x) = aox" + a,x"-1+ ...+ an-1x = 0 has a positive root x = xo, then the equation…

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A: GIVEN11+x-1=x-x2we need to prove the equation

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: 3) Given that f(x) = 2x+ 5 g(x) = 2x – 6 and h(x) = x- 5 i) f(-4) = iv) h,f(x) i1) h[f(-6)] = v)…

A: Explained below

Q: 1 1 Vx-5 Q Find the domain of y = |x-3| |x+5| x2-25

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A: The extrema value of  function is f(4)=20

Q: Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of…

A: Given , Suppose that 2 &lt;= f’ (x) &lt;= 3 for all values of x. The minimum and maximum possible…

Q: 2x+3 Jika fungsi f (x) ,x + 5 dan g(x) = 3x + 1 maka %3D ポー5 (gof)-(x) = 3... 5x+4 A. Xキ-7 x+7 5x+7…

A:

Q: find the value of ( ƒ ∘ g)' at the given value of x. ƒ(u) = 2u/u2 + 1, u = g(x) = 10x2 + x + 1, x =…

A: Since f(u) is not clear. Considering two cases to solve the problem:

Q: The graohg of the funcation f(x)=ax^2+bx+c has vertex at (1,4) and passes(-1,-8). Find a,b, and c

A: Given equation f(x)=ax²+bx+c has vertex at (1,4) and also passes through (-1,-8) To find a,b and c

Q: 6. (a) Express f (x), where x3 + 1 f(x) = %3D (x – 1)2 (x² + 1) Hence, or, otherwise, find HE AND…

A: f(x)=x3+1(x-1)2(x2+1)

Q: 2. Given f(x) = –vx + 2 and g(x) = x² – 2x + 7. What is the domain of q (x) = f(x) – g(x)? a. Can't…

A: Topic- function domain

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

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Q: E. One of the points of intersection of f(x) = 9-x and g(x) = 7x² 18x + 3 is: SHOW ALL WORK TO FIND…

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Q: 1 The volume, V, of a rectangular box with a square base and height h inches can be mode by the…

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Q: 3) Given that f(x) = 2x + 5  g(x) = 2x - 6   and h(x) = x2 - 5…

A: This is a problem related to function and inverse function. Based on the general formula we will…

Q: Show that the equation x³ – 3x – 1 has three solutions in the interval [-3, 3]. 1. Let f(x) be equal…

A: We need to choose correct options.

Q: 3) Given that f(x) = 2x – 3 g(x) = 3x +5_ and h(x) = x² - 4 Find:- i) f(-4) = ii) g[f(4)] = v) g'(4)…

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Q: 8. Given f(x) = 3x -9x+35 and g(x)= f(x), determine all possible values for g(5).

A: No real roots

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

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Q: ) Given that f(x) = 2x + 5  g(x) = 2x – 6 /  x and  h(x) = x2 – 5  Find:- i) f(-4) = ii) h[f(-6)]…

A: Function value and it's composition

Q: Find k such that F(x)=x^3-kx^2+kx+44 has the factor x-4

A: To find k such that F(x)=x3-kx2+kx+44 has the factor x-4.

Q: x+3 at X,-2 2) Find the fixed point of the functions : A. f(x) = x2 + 5x + 3 B. f(x) = x3 – 4x2 + 6x…

A: Explanation of the solution is given below....

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

A:

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: Guven f(2)= e and gSin(xt i) f)- e3x² and g Sun(xt 1) find flgez) and g(f(2)

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Q: 2) We consider the fixed point method where Xn+1=g(xn) = Xn+1 Verify the condition of fixed point…

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Q: 2/3 of f(x) = (x²4)73. (b) Find all critical nurabers

A: There are multiple question. As per company policy kindly ask other question separately. b.

Q: 5. Find the absolute maxima or minima for f(x) = x² + 8x + 3 over the open interval (-o, 0).

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Q: 3. Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 270° counterclockwise

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Q: on the closed interval Co,14], (0,14)such that f'ccF FC14D-FCO) 14-0

A: we have to find the value of c

Q: Factor f(x) = 6z³ + 31z² – 29r + 6 given that is a zero. f(z) = (3x + 1)(2z – 1)(x – 6) %3D • f(z) =…

A: Given information: The function is f(x)=6x3+31x2-29x+6 and one zero is 13. Calculation: If one zero…

Q: 3 By applying the Intermediate Value Theorem choose the interval over which x4 = 7x3 - 5 will have a…

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A: Given :

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A: Given f(x)=ln(x2)+ln(x3)+ln(x4) xi=0.2xu=4