Given g(t) = 3t – 4, find g(t - 3) – g(3)

Q: 7. Find c such that f(c) = fave where fave is your answer to the previous problem.

A: (7) The function is given as , fx=x3 find c for fc=fave where fave is average value of f on 0,27.

Q: Given the functionP(x) = x – 2x +0+ A + 12 where and A are unknown 2nd and 1st order terms. The…

A: given function P(x)=x5-2x3+□+∆+12where □ and ∆ are unknown 2nd and 1st order terms.we have to find…

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: find the horizontal asymptote(s) for…

A: Simplify the numerator and denominator of the function as follows.

Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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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: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: Given k E R, the function f(x, y) = kx² .2 %3D [A) a minimum point, if k = 0 (B) a maximum point, if…

A: Given,  fx,y=kx2+k-1y2+12xy Using second-order partial derivative, check for maxima and minima.

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

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Q: d x3 in terms of t.) X1 + 0.5x2 + 0.33x3 + 0.25x4 0.5x1 + 0.33x2 + 0.25x3 + 0.21x4 = -1.7 0.33x1 +…

A: I have used MAPLE Software .

Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

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Q: Find g" (1) for g (x) = xª – x³ + 2x -

A: Topic: differentiation

Q: Q4) Find the domain of 3 a) f(x) = %3D 1-4e3x b) g(x) = In(5 – |x – 3|)

A: Note: Since you have asked multiple questions, we will solve the first question for you. To get…

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: (a) Find the g.c.d of + x + 2x2 + x +1 and a - 1 in Q[r].

A: a. Given expressions are Dividing the equations: So the remainder is 2x2+2x+2

Q: 23. g(x) = x5 - 3x* + 2x 1.Find g*(0). %3D

A: I have stated the used formulas in the solution

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: 2 f(x) = √4-x² [-1,1] n = 4 a = -1 right left & middle hand rule b=

A: The given function is fx=4-x2 over the interval -1, 1. The number of subintervals is n=4.

Q: 19. Given g(x) = 3x – 2x, find 9(x+h)-g(x)_ %3D

A:

Q: Consider  g(t) = f(2t + 3,7t^2 ) . Knowing that g' (0)= −10, determine the value of fx (3,0).

A: Given : gt=f2t+3, 7t2 , g'0=-10 To find : fx3, 0 Pre-requisite : Chain Rule for one independent…

Q: Q3- Find the functions f.g s.t fog3 (x+1)5

A: fog =(x+1)^5

Q: Given 3s2 + 9s – 2 F(s) = (s - 1)(s2 + 4s+ 5) Find f (t).

A: We will find out the required solution Laplace transform method.

Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

A:

Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: F(z) = 1 and g(x) = x - 2x + 11. T

A:

Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

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Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: Find GF if TF = 6.3 %3D T. F

A: ET is the median of the given triangle.

Q: d the value of x that makes j //k. (3x+10)° (5x-10)" k.

A: GIVENAlternate interior angles

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the g (2) if g (x) = S VE– Idt %3D

A: gx=∫32x3 t-1 dt Now we need to find integration  gx =∫32x3 t-1 dt=23 t-13232x3=232x3-132-23…

Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: n f(x)=6x– 2 and g(x)=x² – 3x – 4 , find (f•g)(x). | -

A: Given :          fx=6x-2gx=x2-3x-4

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: The function f:R R satisfies the condition mf(x-1)+ nf(-x) =2|x |+ 1. If f(-2) = 5 and f(1) =1, then…

A: Introduction :Given ,function f: R-&gt;R Which satisfies the condition mf(x-1) - nf(-x) = 2|x| +…

Q: 11. Find X. (G.8A-S)

A: The triangle proportionality theorem states that the line that is parallel to one side of the…

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: If G(x) = S T/1+tdt, then G'(3)

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Q: h.w 2 : find & Range x +3 y = x² – 2x - 8

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Q: 4 Given the function g(n) = 4n" + 44n° + 112n %3D its g-intercept is its n-intercepts are

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Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

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Q: 14. Find GH. 19 B G 9x - 3 F E 5x + 1

A: GH is the median of the given trapezoid we apply midsegment of a trapezoid theorem midsegment =base…

Q: |b) If g(x)% = 2x + 1 find g'(x) 5x + 2

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Q: For y = f(x) = 2x, find Ax, Ay, and - Ay 4x² Ax= given X₁ = 3 and x₂ = = 6.

A: The simple average rate of change

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Q: Find f (k + 2) given that, f(x) = 3x² + 2x + 4

A: Given: fx=3x2+2x+4   We know that the perfect square formula; a+b2=a2+2ab+b2

Q: The function f: R R satisfies the condition mf (x-1)+nf(-x) =21x|+ 1. If f(-2) = 5 and f(1) = 1,…

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Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.