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Q1. Find the equation of the line tangent to the graph of f at the indicated value of x.
f(x) = 5 - 2 lnx; x = 1
Q2. Find f'(x).
f(x) = (x2 - 2)(x2 + 6)
Q3. Solve for t to two decimal places.
7 = e0.08t
Q4. Find use the appropriate properties of logarithms to rewrite f(x), and then find f'(x).
f(x) = 24x + ln 24x
Q5. Use the quotient rule to find the derivative of the following.
y = (8x2+5/x2+2)
The market has an expected return of 12% and the risk-free rate is 4%. What is the alpha for the fad followers?
Fencing for the side parallel to the building costs $20 per foot, and material for the other two sides costs $80 per foot. If $1,500 is to be spent on fencing, what are the dimensions of the garden with the largest possible area?
Let h be a differentiable function defined on the interval [0,3], and assume that h(0)=1 h(1)=2 and h(3)=2. a- argue that there exists a point d belong to [0,3] where h(d)=d.
assume that your present job pays a monthly gross salary of 1560. you are offered a new position that pays 8.60 per
Find the IQ score separating the top 14% from the others.
MATH 54 QUIZ 8. Compute an orthogonal basis of P2 where the inner product is defined by (f, g) = f(-1)g(-1) + f(0)g(0) + f(1)g(1). Find the orthogonal projection
Eliminate the parameter to find a Cartesian equation of the curve. Sketch the curve and indicate with an arrow the direction in which the cuve is traced as the parameter increases
explain why the columns of A must be linearly independent.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
An expensive fencing along the lots length costs $20 per fott and an inexpensive fencing along the two side widths costs only $8 per foot. the total cost of the fencing along the three sides comes to $3280. What is the area of the lot?
where x is demand and P is measured in millions of dollars. At the instant that x = 110, demand is increasing at a rate of 5 units/month. Find the rate of change of profit at that instant. Round your answer to 3 decimal places.
Show that the given relations are contradictions
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