Find an equation for the tangent to the graph of f at the point P(2, f(2)) when f(x)= = 5 1-3x 1. y + x + ² = 0 2 y = x - 3. y = 3x - 7 4. y + x + = 0 5. y = x -

Q: Find the coefficient on x^10 in each of the generating functions below. (h) (1-x^14)/(1-x)

A: Find coefficient of x^10

Q: Ssec*x tan*xdx C'

A: We can find the integration as below

Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: If the function is continuous and f(x) = 22-9 x+3

A: function

Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

A:

Q: In x

A: A detailed solution is given below

Q: Evaluate ſ csc* x dx

A: Formula: csc2x = 1+cot2x d/dx(Cotx) = -csc2xdx

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

A:

Q: L[y''''] L[f"'''']

A:

Q: integeral of 1/x^3+8

A:

Q: Why is there a negative sign outside the -(2x+1)e^-x

A:

Q: 5. Evaluate (1 + a) / (1+ a^2)

A: Given, 1+a1+a2

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: ((-14)/((x^2)-x-12))-((1)/(x-4))=((2)/(x+3))

A: Given:The equation is,

Q: Which of the following functions grows fastest? A x^x B x^1,000,000,000,000 c) x!…

A: Find value at x=1,2,3 .... And then compare

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: (PV9)A

A:

Q: s time continuous or discrete varaible?

A: In statistics, various types of variables are studied. There are two types of variables that are…

Q: let f(x) = 2x²-36x² + 20. Find the intervals where f is increasing. a) (-3,0)√(3, ~) b) (-3,0)0(0,3)…

A: Let To find the intervals where  is increasing.

Q: 옷(x) = 름(x-a) (-x) 16. e E[x] = ?? u(x-a)

A:

Q: Find E(0.6^X). E(

A: Given that,The probability mass function of X is,To find the expected value of .

Q: (153) (b) Let g(x) = 2***. Find g (x).

A:

Q: ſ csc' xdx

A: Solution is written in below steps.

Q: Which of the following is the exponential function of the form f(x)3 ab* containing the points…

A: Solution: The objective is to find the exponential function

Q: 1- f, 2x e dx

A: integration is given below

Q: L{costy3} =.....

A: The Laplace transform of a function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We…

Q: Let f(x) = [(1000-x)^1/3]. Use linerarization to approximate the number       [(997)^1/3]

A: We are required to approximate the value of 997^(1/3) usign linear approximation.

Q: Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: *?=""y=e^(-5x), y

A:

Q: Where is f(x) = e* continuous?

A:

Q: 12. Ext(X\Ext(A))= * , Ext(X\A) O Ext(A) O X\Ext(A) O XIA

A:

Q: A) If T (;) = () and T () = (). Find T((;) +2(^) +2(;) ( 5pts)

A:

Q: Define the function e^x for any real number x

A:

Q: 1/(x−2)≤1/(x−7)

A: We move both terms on one side and subtract using LCD.