 Lv 138 points

# Maria

• ### Pls help. higly appreciated tthnxk?

Johnathan and Trina both earn \$12 per hour, but Trina earned a \$15 bonus this week for being on time everyday. let J=# of hours that Jonathan worked this week and T=# of hours that trina worked this week. What expression represents the total amount that johnathan and trina earned this week?

jaynes mom brought a new folding chair that cost \$14.She was charged an 8% sales tax.What reprsents the final price of the chair,including sales tax?

• ### pls help. 6th garde math. thank u in advcance?

Seanand Emily do not want to pay more than \$30 for dinner at a party.They plan to leave a tip of 20% what is the most they can spend on their meal?

• ### 6th grade math, pls help. thank u?

johnny took out a loan for \$13000 to buy a new car. he has to pay a rate of 2.5% on the loan. If Johnny pays \$1300 in simple interest, what is the term (number of years/time) of the loan?

• ### Calculus =( Need your help?

Let y=f(x) and y=g(x) be two curves.

a) What is the geometric meaning of f(x)-g(x)?

b) Find (if it exists) the minimum value of √x-lnx. Explain why this shows the graph of y=√x and the graph of y=lnx do not intersect.

c) Prove that x=e^x has no solution. (Hint: a solution exists if the graph of y=x and y=e^x intersect, see the other parts of this problem. it isn't sufficient o graph the two curves, since they could always intersect in part of the graph you're not seeing).

• ### Calc ques, ba=10pts, pls & thk u?

Consider the curve x^3+y^3=2xy.

a) Find dy/dx and d^2y/dx^2 for this curve.

b) the curve passes through the point (1,1). Sketch the graph of the curve through this point. (you must use information about the 1st and 2nd derivative).

c) Find the point(s) on this curve where the line tangent to the curve will be horizontal. Hint: Remember that a point on the curve must satisfy the equation of the curve.

d) Set up (but don't solve) the equation needed to find the point on the curve closest to the point (4,-2). Your equation should only include the variables x and y.

• ### pls help find the derivatives. thx?

Find the flwing derivatives:

Find dy/dx at (0, π) if y=xsiny

Y= sin(x^2)

Y=e^4x-8

• ### Pls help find the derivatives. 10pts?

Find the flwing derivatives:

Find dy/dx at (0, π) if y=xsiny

Y= sin(x^2)

Y=e^4x-8

• ### Pls help find the flwing derivatives, thnk u:?

H(x)= √3x+8

Y=sin(4x)

Y=e^2x-8

Pls show work. Thanks!

• ### Find the flwing derivatives: thnx?

H(x)= √3x+8

Y=sin(4x)

Y=e^2x-8

Pls show the work. Thanks!

• ### Pls help, thx in advance!?

An important concept is applied mathematics in iteration: to iterate a function means to apply it repeatedly to its own output. (Iteration leads to dynamical systems, which leads to fractals).

a) Suppose g(x)=x^2. Find g(2), g(g(2)), and express g(g(x)) in simplest form.

b) The graph shows y=f(x) for some function f(x). Use the graph to determine f(x) and f(f(x)) for x=3.

c) Use the graph to determine the sign of f’(x) and f’’(x) for x=3.

d) Let y=f(f(x)). Find an expression for dy/dx and d^2y/dx^2.

e) Sketch the graph of y-f(f(x)) around x=3. Your graph must refer to info about the first and second derivative. (I know you can’t really draw a graph here, but pls show a general sketch and explain)

f) Sketch the graph of y=f(f(x)) around x=2. Your graph must refer to info about the first and second derivative.

• ### Find the flwing derivatives:?

H(x)= √3x+8

Y=sin(4x)

Y=e^2x-8

Pls show the work. Thanks!

• ### Calc ques. best ans=10pts?

You might want to review the Fundamental Theorem of Algebra. Assume f(x) is a 5000th degree polynomial with leading coefficient 1.

a) Suppose f(0)=8, f’(0)=7, f’’= -16, f’’’(0)=24. What information does this give you about the coefficients of f(x)? Explain/show your work.

b) What is the maximum # of places where f(x) can have a local extremum (a maximum or minimum)? Explain/show your work.

c) Find d^5000/dx^5000 (f(x) and d^5001/dx^5001 (f(x)).

• ### Find the flwing derivatives:?

H(x)= √3x+8

Y=sin(4x)

Y=e^2x-8

Pls show the work. Thanks!

• ### Pls help. Appreciate it in advance :)?

Consider the curve x^3+y^3=2xy.

a) Find dy/dx and d^2y/dx^2 for this curve.

b) the curve passes through the point (1,1). Sketch the graph of the curve through this point. (you must use information about the 1st and 2nd derivative).

c) Find the point(s) on this curve where the line tangent to the curve will be horizontal. Hint: Remember that a point on the curve must satisfy the equation of the curve.

d) Set up (but don't solve) the equation needed to find the point on the curve closest to the point (4,-2). Your equation should only include the variables x and y.

• ### Fermat's method ques~best answer +10?

use fermat's method for the following. you must use it to find the area. (no credit will be given if you use an alternative method.)

a) show that the area under y=x^4 over ≤x≤ a is 1/5a^5.

b) Show that the area under y=x^5 over ≤x≤ a is 1/6a^6.

• ### Calc- Fermats method ques. Pls help, thnk u?

use fermant's method for the following. you must use it to find the area. (no credit will be given if you use an alternative method.) a) show that the area under y=x^4 over ≤x≤ a is 1/5a^5. b) Show that the area under y=x^5 over ≤x≤ a is 1/6a^6.

• ### Find the flwing derivatives, pls and thank u!?

Find dy/dx at (1,1) if y^3+x^3=2xy

Find dy/dx at (0, π) if xy=siny

• ### pls help, thnks. best ans=10pts?

Let y=f(x) and y=g(x) be two curves.

a) What is the geometric meaning of f(x)-g(x)?

b) Find (if it exists) the minimum value of √x-lnx. Explain why this shows the graph of y=√x and the graph of y=lnx do not intersect.

c) Prove that x=e^x has no solution. (Hint: a solution exists if the graph of y=x and y=e^x intersect, see the other parts of this problem. it isn't sufficient o graph the two curves, since they could always intersect in part of the graph you're not seeing).

• ### Pls help, best ans=10pts. thanks a lot!?

An important concept is applied mathematics in iteration: to iterate a function means to apply it repeatedly to its own output. (Iteration leads to dynamical systems, which leads to fractals).

a) Suppose g(x)=x^2. Find g(2), g(g(2)), and express g(g(x)) in simplest form.

b) The graph shows y=f(x) for some function f(x). Use the graph to determine f(x) and f(f(x)) for x=3.

c) Use the graph to determine the sign of f’(x) and f’’(x) for x=3.

d) Let y=f(f(x)). Find an expression for dy/dx and d^2y/dx^2.

e) Sketch the graph of y-f(f(x)) around x=3. Your graph must refer to info about the first and second derivative. (I know you can’t really draw a graph here, but pls show a general sketch and explain)

f) Sketch the graph of y=f(f(x)) around x=2. Your graph must refer to info about the first and second derivative.