Shahlina Active Now IATH 1101- Differential Calculus MAXIMA AND MINIMA I- Determine the Maxima and Minima and the Point of inflecti 1. y = x* – 6x3 2. y = x + x2 – x3 3. у%3D 2х3 - 3х2 -12х + 12 4. y = 2x3 – 11x2 + 12x + 10 5. y = 2(3x + 20)2 – 3x* 6. y = x3 + 9(a – x)3 where a is constant | 2x 7. у %3D x2+1 Il- Plot the following 1. у%3 (x — 1)(х - 2)(х — 3) 2. y = x3 – 6x2 - 8. + V

Q: Fina h(-2_ for h(r)=r^2

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Q: The projected population of a small city t years from now is given by P(t) = 40t^3 - 270t^2 + 18000.…

A: The projected population after t years is given by,P(t)=40t3-270t2+18000

Q: line squares I will always pass Show that the least Y = B₁ + B₁²³ Bx through the time point (5,5).

A: The given least square line is y=β^0+β^1x.The objective is to show, the line of y=β^0+β^1x passes…

Q: raph the function. Plot all necessary oints on each side. k(x)=(3x^(2)-8x-3)/(x^(2)+1)

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Q: ball is thrown from an initial hei llowing. h=2+25t-5t^(2)

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Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: if f(1)=2 and f(n)=f(n-1)^2-3 then find the value of f(3)

A: Given  f1=2fn=fn-12-3 To find f(3) substitute n=3 in f(n) fn=fn-12-3f3=f3-12-3      =f22-3

Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: 4. j(x) = {x3 - 2 <x <1 x² + 2x -4 x21 Domain: Range: j(-3) = -6-5-4 -3-2-1 0이 1234 5 1- -2 -3+ = ()…

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Q: 3(x5 + x³) ez"+xª + 3(x6 +xª) +2 dx -2

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Q: 시e (+-2) u(1-2) T 2-7

A: Some of the proprieties of Laplace transform Lu(t-c)g(t)=e-2cL[g(t+c)] Ltneat=n!(s-a)n+1 Leat=1s-a

Q: what is the result of isolating x^(2) in the equation 10x^(2)-36y^(2)=100

A: Algebraic equations 10x^2-36y^2=100

Q: aph the function. r(x)={(-x^(2)+1 for x1):}

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Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

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Q: If y = (3x²+5) (2x³ - 5x – 4) then dy/dx O (3x2+5) (6x² - 5) + 6x (2x3 - 5x - 4) O (3x2+5) (6x² - 5)…

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Q: a2-a+1 If a + = 1, (a # 0) then find the value of a a²+a+1

A: Given that a+1a=1  The objective is to find a2-a+1a2+a+1

Q: f 1 - 326² x²(x+1)(x² +21³ dre

A: We have to use the concept of integration.

Q: Luestion 2 Which of the following is a function? 9x-5y^(2)=2

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Q: Distance between (9x,-11x)and(4x,x)

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Q: x-1 Evaluate / dx. (x2+4x+5)(x+1)

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Q: Find the vertical asymptotes of the function. y=(x^(2)+1)/(5x-2x^(2)) Hope you can answer me…

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Q: y=1/5x^3 -square root of x^2+1 find the domain, x and y intercept, where it increasing and…

A: Given function is f(x)=15x3-x2+1   To Find: The domain, x and y intercept, and where the function is…

Q: lim +2-3t メー→3 十-3

A: Topic:- limits