5x3-12x2-1 x2-2x 5. Find the equations of the asymptotes of f (x) Show that P(-3, 2, 0) is the minimum point of the function 6. z=x2 +3y2 +2xy + 2x-6y +9.
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
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Evaluate: SỐ 9(x) dx, where g(x) = x2 for x 5 2 = 5 + x for x > 2 Find the average value of y = 4x3 + 2x over the interval [–2, 1]
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6. Find the oblique asymptote off (x) 2x3-X2 +4 x²+1 Show your work! 6. y= [4]
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Let f(x) = x2 + 3x + 5. a) Find all derivatives of f(x). b) Find the value of f(n) (2) for all derivatives. c). Find the Taylor's series for f(x) centered at c = 2.
Normally distributed, there is a continuous random variable X with a mean of 10 and a standard deviation of 2. Find [a,b] where P(X<a)=0.45 and P(X>b)=0.15. Please show all your work. (calculus)
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Let p(x) = x, 9(x) = 3x3 + (2 - a)x?, r(x) = x3 + 5x2 + ax, and s(x) = 7x3 + x2 + 2x + 5, be four vectors in P3 (the vector space of polynomials of degree 3 or less). Let o denote the zero vector in P3, that is 0(x) = 0x3 + 0x2 + 0x + 0 = 0, for all real x. Find the value(s) of a such...
What is the composition(fog)(x) when f(x) = 2x+6 and g(x)=x2-1, before simplifying? a.(fog)(x)=x2-1+2x+6 b.(fog)(x)=(2x+6)2-1 c.(fog)(x)=2(x2-1)+6 d.(fog)(x)=(2x+6)(x2-1)
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Let X1, X2, . . . X, be independent identically distributed N( 5,4 ) ran- dom variables Find (use tables or software) t such that (a) PGX-51 > t) = .95 (b) P(>t)-05 (c) Pd: (부)2 > t) = .95 (d) P(HES) > t) .95 where s-IA-X)2 9/X,-5,2 3(x-5)
Find f'(x) please show all work
C. f(x) = (3x - 5)(2x + 7)3 261 - Applied Calculus Homewor d. f(x) = (3x-5)