Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx
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Q: For 31
A: From the given diagram the points of the graph of y= f(x) are (–1,–2),(0,1) and (2,–1). Given…
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Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…
A: 1(c)
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: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3
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Q: -3х - 4 х-1
A: Increasing interval : Interval in which graph goes upwards Decreasing interval: Interval in which…
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: 19) 1+ V3 mult. 2 A) f(x)= x* – 7x' + 8x + 4 B) f(x) = x* – 4x³ + 7x² + 8x + 4 - - 3 = x* + 4x' + 8x…
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Q: 8. Find (S+gx). f)- Sx - 9x + 8 g(x) - &r - 7x +2 A) (+ gKx) - 13 - 16x + 10 B) (+ gXx)--3r-2r +6 C)…
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Q: #20
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Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-
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Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…
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Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…
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Q: The function f(x) = 2x^3 - 27x^2 + 108x - 4 has two critical numbers. The smaller one is x = ? And…
A: Hereupon plotting we can see that horizontal tangent can be drawn at points x=3 and x=6. Note: The…
Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)
A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…
Q: 13. If f(x) = 3x -4 the equation for f¹(x) is 0y=x+3/ 3 Oy=1/x+³/ Oy=4x+3 Oy=3x+4 4
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Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2
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Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5
A: Consider the functions
Q: 3 fx} -1 2 4 5 -1 f(0) = 3 f(x) = 0, x = f-'(0) = f-'(x) = 0, x = 3.
A: we have to find the following
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: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4
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Q: 1. Find the critical points for f(x) = 3x5 – 20x3.
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…
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Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…
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Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…
A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…
Q: Graph the following functions.
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Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.
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Q: 20. f(x) = In x + 2e 3x2
A: Topic = Derivative
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Q: find the critical value of F(x)= 10x^2 + 12x +5
A: The objective is to find critical value of F(x).
Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…
A: Given query is to find the derivative of the expression.
Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³
A: Answer
Q: Analyze the critical points of f (x) = x3 − 27x − 20.
A: Critical points of a function at which f'(x)=0 or f(x) is not defined. f(x)=x3-27x-20 f'(x)=3x2-27…
Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns
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Q: 3. Differentiate. x²e* f(x)%3= x² + ex
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Q: 7. Given f(x) = x² – 5x ,
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Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =
A: Here we have to find the value of the given function at the required points. Initially we have to…
Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =
A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x
Q: If x = xf(y)- 1 then, 1-f(y) 1. y - 1-f) xf') 2. y = L)-1 xf G) 3. y--fo) 4. y =-f)
A: Given x=xfy−1 Use formula ddxxn=nxn−1 and ddxc=0, where c is a constant. Differentiate x=xfy−1…
Q: f(x)=x^4-x^3-12x^2
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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.
A: The objective of the question is evaluate the value at the given functions of composition.
Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2
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Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2
A: We can find the answer as below.
Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-
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Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…
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Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…
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Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2
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Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2
A: Domain set of all input values where function defined
FIND THE DERIVATIVE OF THE FUNCTION.
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- how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have not learned it yet, the teacher said we would have to manipulate the equation somehow. f(x,y) = x2 ln(2y3 -x4)Suppose that a political campaign by Loki estimates that the candidate’s polling percentage yand the amount x (in hundred thousands of pesos) that is spent on television advertising arerelated by y = e^0.3x + (5lnx)^2 while the amount that is spent on social media advertising are related by (x −3)^4 + 3y = x. (a) If P300,000 has been spent on television advertising by Loki’s campaign, determine therate of spending that will increase his polling percentage by 2 percentage points per week. (b) Suppose that Loki’s political adversary, Thor, is slowly ramping up his presence on socialmedia. If Loki’s team plans on spending P400,000 on social media advertising and the rateof spending is at P100,000 per week, at what rate will the polling percentage increase?Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the value of α need to be to have an average revenue of $10 when x=5?
- Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 11x + 8,000; R(x) = 19x (x, y) =How does the limiting behavior of solutions depend on the value of y(0)?Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 120x + 24,000; R(x) = 300x (x,y )=
- Suppose we have a revenue function given by R(x) = 3x3 - ax, Where a is a constant. What would the value of a need to be to have an average revenue of $10 when x = 5?A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is the number produced. If the price on the competitive market for a bunny this size is $5.00, how many should the company produce to maximize its profit?What is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?
- Then what would the value of x be if g(x) is less than or equal to 0 and also how do you find the net change in g between x=1 and x=2Find f(x) by solving the initial value problemSuppose a person's utility function for items x and y is u = ln(x) + ln(y), and he currently has $200 in his pocket, and the price of x is $10 per item and the price of y is $20 per item, find the combination that maximises his utility.