Calculus question and answers for February 03, 2024
- Q Let f x 8 x 2 Find f x
- Q Suppose that and Find h 3 h 3 f 3 10 h x g 3 6 f x g x f 3 1 and g 3 7
- Q By applying the Product Rule twice one can prove that if f g and h are differentiable then fgh f gh fgh fgh Now in the above result letting f...
- Q Compute the derivatives of the following functions a The Michaelis Menten kinetics function dv do b The Hill function V y Kx k x Ax an xn
- Q 1 Define 3 4 x if 2 x 2 if x 2 f x a Graph f from x 2 to x 8 1 f f x dx using the...
- Q Compute the derivative of the given function 12x 1 f x 4x 8x 8 4x 8x
- Q Differentiate the following function R x R x 6 28
- Q Let f x f x Find f 4 f 4 x 7 Find f x E E
- Q 6x x Find the derivative of F x Note that you can do this two ways either by simplifying first or by using the Quotient Rule Both approaches should obtain...
- Q Differentiate g x g x 1x 2x
- Q Find the equation of the tangent line to the curve y x x at the point 9 27 y
- Q r Let f x 4x 3 Evaluate f x at the following points A f 3 B f 8
- Q For what value s of x is the tangent line of the graph of parallel to the line y 2x 1 7 3 f x 8x 12x 50x 72 If...
- Q Let f x 3x 5x 3 Compute f 3 Answer Use this to find the equation of the tangent line to the parabola y 3x 5x 3 at the point...
- Q Differentiate Y u Y u u u u5 3u
- Q if f x 5x8 4x5 6x 6x find f x and f 1 f x f 1
- Q 2 Define g to be the integral function g x where f is the function graphed below 2 omputo al 1 Tuotify Lancy f t dt x sin x your...
- Q Find a second solution of each differential equation using the reduction of order formula 7 1 2x x y 2 x 1 y 2y 0 Y x 1 1
- Q Solve the rational inequality Express your answer in interval notation x 4 x 4 V X X
- Q Suppose that Po is invested in a savings account in which interest is compounded continuously at 6 9 per year That is the balance P grows at the rate given...
- Q How much money must you invest now at 4 7 interest compounded continuously in order to have 10 000 at the end of 6 yea You must invest Round to...
- Q An athlete signs a contract that guarantees a 11 million salary 5 yr from now Assuming that money can be invested at 6 9 with interest compounded continuously what is...
- Q Suppose that in 1623 a man bought a diamond for 29 Suppose that the man had instead put the 29 in the bank at 3 interest compounded continuously What would...
- Q The size of a certain insect population is given by P t 500e 03t where t is measured in days At what time will the population equal 200 It will...
- Q Find y and y y y y x In 6x 9 6 X 2xIn 6x x 1 2In 6x 2
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