x* (8) √**+/+ x2 dx =

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Evaluate (f−g)(x) f(x)=x^2+5x+2 g(x)=4x−2

A:

Q: If an object is thrown directly from t seconds s (t) = -16t ^ 2 + 48t + 256 feet after t seconds.…

A: For maxima, [double derivative of  s(t)]<0.

Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

A:

Q: compute:  (3/5)^(n-2)x(10/9)^1-(n/2)

A: Please see the explanation below

Q: How can I find the x intercept of 3x - 9(x)^1/3

A: We need to find the x-intercept of - 3x-9x1/3 x-intercept - x-intercept is the value of the…

Q: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: Given g(x)= 6x^2-x+9 a. g(0) b. g(-1) c g(r) d g(x+h)

A: To find the value of the given function at specified values.

Q: Find the domain

A: Given: f(x)=30x3+31x2-25x-612x3-59x2-11x+30 To find: The domain of the f(x).

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Evaluate f(x)=3x^5−4x^4−3x^3+9x^2 when x=−2 f(−2)=

A: Solve the given

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: sec x)^2 - 1

A:

Q: If h(x)= (-2+8x+8x^2) (7x+2x^6+7x^7) then h(x)=f(x)g(x) wher

A: Given that: h(x)=(-2+8x+8x2)(7x+2x6+7x7)

Q: Graph quadratic function f(x)= 1/4 (x+2)^2-7

A: f(x)=14(x+2)2-7 Therefore,y=14(x+2)2-7

Q: Find / (+52 + 4) dz 5x x6

A: Given integral: We have to evaluate the given integral.

Q: 1/× + 5/2=1/4

A: Given expression is

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: f(x)=2(x+3)^(2)-6 write in standard form.

A: We know that the standard equation of the polynomial is f(x)=ax^2+bx+c