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Calculus
Calculate the left Riemann sum for f(x)=1/√x over [1, 4] with n = 6(6 rectangles). When rounding, round your answers to four decimal places.
Calculus
a) Find the critical points, if any, of the following function on the given interval.
b) Determine the absolute extreme values of f on the given interval.
c) Use a graphing utility to confirm your conclusions.
f(x)=sin(3x)on [−π4,π3]
I Know f′(x)=3cos(3x).
However, I'm not exactly sure how to determine the zeros for x for a trig function.
and even I know how to find the zeros of a cosine function I don't now what to do with them after that.
please if somebody can solve this I've been at it for over 5 hr's
b) Determine the absolute extreme values of f on the given interval.
c) Use a graphing utility to confirm your conclusions.
f(x)=sin(3x)on [−π4,π3]
I Know f′(x)=3cos(3x).
However, I'm not exactly sure how to determine the zeros for x for a trig function.
and even I know how to find the zeros of a cosine function I don't now what to do with them after that.
please if somebody can solve this I've been at it for over 5 hr's
Calculus
The manager of a large apartment complex knows from experience that 100 units will be occupied if the rent is 400 dollars per month. A market survey suggests that, on average, one additional unit will remain vacant for each 8 dollar increase in rent. Similarly, one additional unit will be occupied for each 8 dollar decrease in rent.
Calculus
The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 500 dollars per month. A market survey suggests that, on average, one additional unit will remain vacant for each 7 dollar increase in rent. Similarly, one additional unit will be occupied for each 7 dollar decrease in rent.
Let the rent on an apartment be x dollars per month, and let N be the number of apartments rented each month, and let R be the revenue (the gross income) brought in each month by the apartment manager. find N(x) and R(x)
Let the rent on an apartment be x dollars per month, and let N be the number of apartments rented each month, and let R be the revenue (the gross income) brought in each month by the apartment manager. find N(x) and R(x)
Calculus
Suppose you have a street light at a height H. You drop a rock vertically so that it hits the ground at a distance d from the street light. Denote the height of the rock by h. The shadow of the rock moves along the ground. Let s denote the distance of the shadow from the point where the rock impacts the ground. Of course, s and h are both functions of time. To enter your answer into WeBWorK use the notation v to denote h′:
v=h′.
Then the speed of the shadow at any time while the rock is in the air is given by s′=__?____ (where s′ is an expression depending on h, s, H, and v (You will find that d drops out of your calculation.)
Now consider the time at which the rock hits the ground. At that time
h=s=0.
The speed of the shadow at that time is s′= ____?_____ where your answer is an expression depending on H, v, and d.
Hint: Use similar triangles and implicit differentiation. For the second part of the problem you will need to compute a limit.
v=h′.
Then the speed of the shadow at any time while the rock is in the air is given by s′=__?____ (where s′ is an expression depending on h, s, H, and v (You will find that d drops out of your calculation.)
Now consider the time at which the rock hits the ground. At that time
h=s=0.
The speed of the shadow at that time is s′= ____?_____ where your answer is an expression depending on H, v, and d.
Hint: Use similar triangles and implicit differentiation. For the second part of the problem you will need to compute a limit.
Calculus
Let f : R → R be the function
f(x) = (x – a1)(x – a2) + (x – a2)(x – a3) + (x – a3)(x – a1)
with a1, a2, a3 ∈ ı . Then f(x) ≥ 0 if and only if :
f(x) = (x – a1)(x – a2) + (x – a2)(x – a3) + (x – a3)(x – a1)
with a1, a2, a3 ∈ ı . Then f(x) ≥ 0 if and only if :
Calculus
How to find excat solution of y'+ y =x + cos x
i am doing euler method but could not find a method to find exact solution of above probelm?plz explain with steps it is first order differental equation.pls note that i have find y using euler method.
i am doing euler method but could not find a method to find exact solution of above probelm?plz explain with steps it is first order differental equation.pls note that i have find y using euler method.
Calculus
The population of the greater San Antonio area can be approximately modeled by the equation N=1.3e^(.02t), where N is in millions and t is the number of years since 2006.
a) What will the population be in 2016, according to the model?
b) When will the population reach 2 million?
Can someone show the steps on how they found the answer? thanks!
a) What will the population be in 2016, according to the model?
b) When will the population reach 2 million?
Can someone show the steps on how they found the answer? thanks!
Calculus
If $7,500 is invested in an account earning 5% interest compounded quarterly, how many years pass until there is $20,000 in the account?
Formula - A=P(1+(r/n))^nt
can someone please help and show me how the answer is found?
Formula - A=P(1+(r/n))^nt
can someone please help and show me how the answer is found?
Calculus
f(x)=((x^2)+7)/(x-3)
Find the vertical and horizontal/slant asymptotes.
Can someone please answer this and tell me how you found the answer?
Find the vertical and horizontal/slant asymptotes.
Can someone please answer this and tell me how you found the answer?
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#340153 on Dec 2023
#340153 on Dec 2023