Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…
A: The function is the mathematical expression that tells the relationship between one variable and…
Q: 5. f(x) = x², 6. f(x) = 1- - g(x) = 4x + 5 3 x + 3 7. f(x) = x + ₁1/2x - 3, g(x) = 1 x-1 g(x) = 3
A: As per guidelines we can answer only one question at a time so if you need more answer kindly repost…
Q: Graph the following functions.
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Q: 4 -7 -6 -5 -3 2 -1 2 4 5 -2 -3 -4 -5- -7+ Your answer should be in the form (x- h) + k. f(z) %3D 6…
A: Finding quadratic expression
Q: In Problems 21–32, tell the maximum number of real zeros that each polynomial function may have.…
A: "Since you have asked multiple questions we will solve the first question for you. If you want any…
Q: 5(2) = 1 If then 2-3z f(r +h) = 1 23-3r2+hz² –3hz 1 12+2xh-3x-3h+h? I+h 12-3x 1 12-37-3h+h²
A: We use (a+b)2 = a2+2ab+b2
Q: Find the derivative of the function. x2 +5 g(x) = x2 + 6x 6х? - 10х - 30 O A. g'(x) = x²(x + 6)2 2x3…
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: (-*+3 2. g(x) = {1x – 1|| (3(x – 2)² + 1 - 3 < x < 2 x 2 2 Domain: 21 Range: 1 -6 -5 -4 -3 -2 -1 0 2…
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Q: 10x-9y-0-11 the same as -10x-9y+11? Or is it just -10x-9y-11 when finding Partial Derivative?
A: Reprieve is to clarify the doubts.
Q: In Problems 63–70, (a) graph each function. (b) Determine the domain and the range of the function.…
A: Given function is: fx=x2-2x-15 The domain and range of this function f is ℝ, the set of all real…
Q: 10 -6- 4 -10 -8 -6. -4 -2 2 6. -2 -4 -8 G 10 CO 4, F.
A: We have the given figure as For finding perimeter of quadrilateral (square) □FIGH, we have to find…
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A: In the question it is asked to calculate the critical points and inflection points of the equation.…
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Q: Find the derivative. f(x)=(3x+2)/(x^2-8) f(x)= (6x+3)/(2x^2+11x+5) y=(x-5)(2x+3)/(x^2-25)
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Q: Problem 1: Use the second derivative test to classify the critical points of f(x) = x³ – 9x + 2
A: according to our guidelines we can answer only three subparts, or first question and rest can be…
Q: In Problems 51–66, find the domain of each function
A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…
Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=
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Q: 3. f(x)=(2x^2)(3x^2-x+7) 4. f(x)=-3(2x+7)^5 Need to find the derivative.
A: 3. Given function is Differentiating with respect to x, by using product rule of differentiation…
Q: In Exercises 1–4, use graphing software to determine which of the given viewing windows displays the…
A: 1) This function fits most appropriately in [-5,5] by [-25,15]…
Q: What is the derivative of h (x) = (7x³+4x)" ? Oh' (x) = 7(7x³+4x)6 ○ h' (x) = 7(7x³ + 4x)º (21x² +…
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Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.
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Q: f(x)=14(x-3)+1 g(x)=7(x+ 2)+1 f(x)=6(x+2)-3 g(x)=8(x- 3)+6 f(x)=3(x-1)+2/3 g(x)=3(3-x)-2/3 f(x)=-/,…
A: a) the function f(x)=14(x-3)+1 is shifted 5 units left and is shrunk vertically by 12 to get the…
Q: 1) f(x) = |x], g(x) = -|x| + 3 2) f(x) = VF g(x) = V-2(x + 3) 3) flx) = |x| g(x) = 3|x + 2| 4) f(x)…
A: Topic- function Note- : as per our guideline we have to answer only first three subparts because…
Q: 2) f(x) = {*+ 2 , -1<x<0 0 <x <1 2) f(x) = {* +? х,
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Q: #37
A: Q - 37 Given function is a rational function. It will therefore be not defined, discontinuous and…
Q: Part 1 of 10 (a) As I-- 0 f(x) -3. Part 2 of 10 (b) Asエ→2fは)ー - Part 3 of 10 (C) As I-2f(x)- 00…
A: topic - graph of a function answer is (d) . 3
Q: 7. (a) f(x) < 0 X= -1 X = 1 (b) f(x) 2 0 41 y. 3 y = 0 -3 3- -3
A: Graph of the function is given we have to finda) f(x)<0b) f(x)≥0
Q: 44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46.…
A: To find the vertical asymptotes of the given functions.
Q: 5. f(x)=2(x- 2)*– 1 10 4 46 810 -10-8-6 -4-2 -2- -4 6, CO
A:
Q: 1 Find f'(-1) if Ax) = (2x + 1)², O-4 04 O-1
A: The given function, fx=12x+12
Q: 33. Find the derivative of f(x)= (3x-2x?)ª 1. 3(3x-2x²)² II. 3(3x-2x³)² (3-4x) II. (3x-2x?) (3-4x)…
A: According to our guidelines we can answer only three subparts, or first question and rest can be…
Q: x+4 2x - 3 x2 - 30 if x 5 Find: f(1) - (5) -
A: Given,
Q: + x) at a = -2
A: The Taylor series of a function fx at a point x=a is defined as f(x)=∑k=0∞f(k)(a)k!(x−a)k where fna…
Q: 5. 4. f(x) f(x) -2 -1 -2 -17 2 -1 4.5 -1 -3 -4 -2 2 4 x -5.5 -1 2 --9 2 3 -3.5 3 -3 4 -17 4 -19 ロ-
A: (4) To find out the zeros , we look at the points where the graph crosses x axis The graph crosses…
Q: 9-11. Solve the derivative using chain rule. y = x + 8x² + 16.
A:
Q: Determine which functions are polynomial functions. For those that are, state the degree. For those…
A: We know, A polynomial is an expression consisting of variables and coefficients, that involves only…
Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…
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Q: Find the first derivative of e O - (3x+2)e-³r x3 O (3x+2)e-31 x4 O(x-2)e-³x x3 O- - (3x²+2)e-3x x3…
A: To find the derivative of the given function.
Q: -8 f(1) – 4 g(4) =[ %3D 8- 6+ y= f(x) 2+ -8 -6-4 6. -4+ y=g(x) -6+ -8- ఈ
A: Given, The graph of the functions y=fx and y=gx We have to find the value of expression…
Q: 1. f(x) = x-3 2. f(x) = x-2 3 3x+2 3. f(x) = x+5 4. f(x) = x+8 x-2 x+6x+8 5. f(x) = x-x-6 2 2.
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Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not…
A: We can take logarithmic to solve it easily.
Q: f(x)=2/5- x +2 Ay 10– 8- 6- 4- 2- 8 10 12 14 -4 -2 -2- 2 4 -4- -6-
A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…
Q: Vx+5-5 1. f(x): at (-5,-1) х-20 V16-x2 2. f(x) = at (-3,-1) х+1 V16-x3 3. f(x) = at (-3,-1) х+1 х-16…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: y 10- - 10 -5 5 10 -5 |-10| f(x) = -2x + 1 f(x) 3D —2x2 - 9х 1 + 5x2 4 f(x) f(x) = x4 + 2x3 %3D f(x)…
A: Given
Q: 5- y= g(x) 4- 3+ 2+ 1- 4 5 6 7 8 9 10 I1 12
A: topic-functions domain is the values of x for which function is defined range is the values obtained…
Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1
A: Given, gx = ln12x4+x We have to find the derivative g'x .
Q: (2, x>-3 2. f(x)=-5, x1 10 8 6 6 8 10 -10 8 6 4 21 2 4 6 8 10
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Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…
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Q: Find Higher Order Derivative: f(x)= x5-16x3 - 1/x; f''(x)= ? O 20x3 - 96x - 2x(-3) O 60x2 - 96 +…
A: The given function is: f(x)=x5-16x3-1x
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- The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. † (a) Determine the value of x in the domain: 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.)? (b) Thus, in which year was the median house size was increasing least rapidly? (Round your answer up to the nearest year.) (c) Find the corresponding house size. (Round your answer to one decimal place.)____square ft(d) Find the corresponding rate of change in house size. (Round your answer to three decimal places.)____square feet per yearSuppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about one-fourth he amount found in living human beings. The amount of carbon-14 present in animal bones after t years is given by y=y 0 e -0.0001216 ,where y0 is the amount of carbon-14 present in living human beings. About how long ago did the Egyptian die?Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about two-thirds the amount found in living human beings. The amount of carbon-14 present in animal bones after t years is given by y=y0e−0.0001216t, where y0 is the amount of carbon-14 present in living human beings. About how long ago did the Egyptian die?
- Find the first derivative of:i. (3x − 5)^-5The median size of a new single-family house built in the United States between 1987 and 2001 can be modeled by the equation H(x) = 0.359x3 − 15.198x2 + 221.738x + 862.514 square feet where x is the number of years after 1980. 1. Determine the value of x in the domain 7 ≤ x ≤ 21 for which the median house size was increasing least rapidly. (Round your answer to three decimal places.) 2. Thus, in which year was the median house size was increasing least rapidly? 3. Find the corresponding house size. (Round your answer to one decimal place.) 4. Find the corresponding rate of change in house size. (Round your answer to three decimal places.)Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about one-third the amount found in living human beings. The amount of carbon-14 present in animal bones after t years is given by y=y0e−0.0001216t where y0 is the amount of carbon-14 present in living human beings. About how long ago did the Egyptian die?
- Find f(1) and f(2). f(x)=xx1FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3xAt a crime scene, a forensic technician found the body temperature of the victim was 33 degree celcius at 6:00 pm. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5 degree celcius. The forensic technician determined that the change in the atmospheric temperature could be modelled satisfactorily as 20e^-.02t in the time window of +3 hours starting at 6:00 pm. It is known that the body temperature of alive person is 37 degree celcius. When was the victim murdered?
- Graph ln x, ln 2x, ln 4x, ln 8x, and ln 16x (as many as you can) together for 0 <x <=10. What is going on? Explain2. (12) Find the derivative of P(X) = -821/9 - 3x 7An endangered species has a population of 1,000,000 alive right now. This is only 0.3% of its peak population number. What is the peak population number of the species?