Calculus question and answers for October 18, 2023
- Q Differentiate. f(x)= = x/( x + c/x)f'(x) =_______
- Q Let f(x) = (1 + 3x)(x - x).Find the derivative by using the Product Rule.f'(x) =Find the derivative by multiplying first.f'(x) =Do your answers agree?YesNo
- Q Differentiate.h(?) = ? sin(?)h'(?)=
- Q Let the function f be defined byf(x)=tan(x) -1/sec(x)(a) Use the Quotient Rule to differentiate the function F'(x).f'(x) =(b) Simplify the expression for f(x) by writing it in terms of sin(x)...
- Q Differentiate.y = sec(?) tan(?)y'=
- Q Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] (Use non-identity functions for f(u) and g(x).)y=e?x(f(u), g(x))...
- Q Graph the parabola.y=-2x-12x-14Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on...
- Q Finddy y =30 +10x-xdy=____(Simplify your answer.)
- Q Find f '(3), where f(t) = u(t) v(t), u(3) = (1, 2, -2), u'(3) = (7, 1, 4), and v(t) = (t, t, t).f'(3) =
- Q Consider the following vector equation.r(t) = 4 sin(t)i - 3 cos(t)j(a) Find r'(t).r' (t) =
- Q Find the derivative, r'(t), of the vector function.r(t) = (e^-t, 6t - t, In(t))r'(t) =
- Q Use the product or the quotient rule to determine the derivative of the following function. f(x)=(x-3x) (2x+4x)
- Q Find the average cost function if cost and revenue are given by C(x) = 112+ 4.2x and R(x) = 9x-0.04x.The average cost function is C(x) =______
- Q Find the slope and an equation of the line tangent to the graph of the given function at the indicated f(x)=(?x)^1/3+5/3 x ,(8,4)
- Q A non-linear system is governed by the following differential equationdx+xu; x(0) 0.1; u = 1dta. (5) Solve the diff-eq numerically and plot the responseb. (5) Linearize the diff-eq about u=1....
- Q Find the indicated higher - ordered derivative.Find: f'''(x), where f(x) = x5 - 2x4+ 3x - 4x + 5
- Q Use the basic rules for differentiation to obtain the derivative of the following function.f(x) =3x6 - 4x4+ x - 12
- Q The ideal gas law for a certain amount of gas relates the pressure P (in N/m2) to the temperature T (in Kelvin K) and the volume V (in m) of...
- Q Given f x 5x 6 and f 2 1 and f 2 3 Find f x 5x2 and find f 1 2 6x 21 297 6
- Q Find three real numbers x y and z whose sum is 12 and the sum of whose squares is as small as possible Identify the function of f and the...
- Q Determine the polar trigonometric form of each of the following complex numbers Write angle measures in radians a 2 2i 2 2 cos i isin b 2 2i 2 2...
- Q 13 find the particular solution for the equation 9 8 given y 4u given y 4 when x 0 The solution to the d efferal equation is y dy 3x...
- Q Find the domain and intercepts f x x 9 Find the x intercept s Select the correct choice below and if necessary fill in the answer box to complete your...
- Q Using the expanded accounting equation calculate and enter the answers for each question You will need to use the answers you calculate for beginning and ending equity to answer the...
- Q raw the phase portrait of the Autonomous equatio y t y 4 y e 2y 1
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