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he rate of change of y with respect to t is 3 times the value of the quantity 2less than y. Find an equation for y, given that y
1. 7 answers
2. asked by anonymus
3. 1,176 views
The rate of change of y with respect to x is one-half times the value of y. Find an equation for y, given that y = -7 when x =
1. 5 answers
2. asked by anonymus
3. 1,211 views
I have to find the integral of(e^3lnx + e^3x)dx. Can someone help me?
1. 5 answers
2. asked by Sarah
3. 2,926 views
Which of the following functions is continuous at x = 3? (5 points)Select one: a. f of x equals the quotient of the quantity x
1. 5 answers
2. asked by Mayur
3. 6,636 views
Analyze the function ln x=cx^2 to find the unique value of c such that there is exactly one solution to the equation. To do this
1. 4 answers
2. asked by jessica
3. 1,935 views
For the function f(x) = sqrt(9-x), which is equal to d/dx(f-1( -1 is the inverse)(x))a) -2x b) sqrt(x) + 9 c) x^2 + 9 d) 2x e)
1. 7 answers
2. asked by Thomas
3. 3,036 views
Find a, b, c, and d such that the cubic function ax^3 + bx^2 + cx + d satisfies the given conditionsRelative maximum: (2,4)
1. 5 answers
2. asked by Savannah
3. 3,613 views
The average value of a continuous function f(x) on the closed interval [3,7] is 12. Whats the value of ∫ from [3,7] f(x) dx?
1. 3 answers
2. asked by Laura
3. 3,778 views
Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties:1) The graph of f is symmetrical
1. 4 answers
2. asked by Michael
3. 5,119 views
You pour a cup of coffee. when its poured, it is 130 F above room temperature, so we will say that difference D=130 F. 3 minutes
1. 2 answers
2. asked by Dasn
3. 838 views
The volume V or a cone (V = 1/3 π r² h) is increasing at a rate of 28π cubic units per second. At the instant when the radius
1. 1 answer
2. asked by Rahul
3. 840 views
A police car is chasing a suspect. The policemen is at point y=0.6 (north of an intersection) and the suspect is at point x=0.8
1. 2 answers
2. asked by Matt
3. 576 views
Find the equation of the line tangent to the curve at t=pi/3:a) x=t-sin(t) b) y=1-cos(t)
1. 1 answer
2. asked by ireallyneedhelp
3. 415 views
Calculate dy/dx at the point t=10 for the equations:a) x=5t b) (t^2)-1
1. 3 answers
2. asked by ireallyneedhelp
3. 293 views
Evaluate the following derivatives at the given points. Find the equation of the line tangent at each point.a) f(x)=ln(secx) @
1. 1 answer
2. asked by ireallyneedhelp
3. 429 views
Find the indefinite Integral of:(e^(2x)-e^(-2x))/(e^(2x)+e^(-2x))dx Thank you very much for your help.
1. 1 answer
2. asked by Jake
3. 301 views
Please find the integral for:(2^(-1/t))/(t^2) Thank you very much
1. 1 answer
2. asked by Jake
3. 291 views
Sorry I know this should be easy, but what is the integral of U/du?
1. 1 answer
2. asked by Jake
3. 303 views
Solve the differential equation:dy/dx= (x^2+y^2)/(2xy) I know how to solve this type of problem, but I am struggling getting all
1. 2 answers
2. asked by Jake
3. 1,008 views
Verify if the given equations are solutions to the differential equation.dy/dt=k(y-a) i) y=1-ae^(kt) ii) y=a+Ce^(kt)
1. 3 answers
2. asked by dyingincalc
3. 1,370 views
Consider the region trapped between the graphs of y=9-x^2 and y=11-3x.a) find the area of this region b) set up an integral
1. 1 answer
2. asked by Nellie
3. 443 views
Consider the region bounded by the graphs of the equations x=y^2 and y=3x. Set up 2 integrals, one with respect to x and the
1. 3 answers
2. asked by Nellie
3. 1,012 views
Consider the region trapped between the graphs of y=9-x^2 and y=11-3x.a) find the area of this region b) set up an integral
1. 1 answer
2. asked by Nellie
3. 428 views
Let R be the region bounded by the graphs of y=sin(pi x) and y=(x^3)-4x, as shown in the figure above. (a) Find the area of R.
1. 4 answers
2. asked by Jaime
3. 1,953 views
Please help!!!Given the equations Y=√x, y=3 and x=0 1.) find the volume that is formed by rotating the shaded region about the
1. 2 answers
2. asked by Hannah
3. 502 views
The limit as x approaches infinity of (1+1/x)^x.I tried this twice and I got an answer of e both times, but the answer that my
1. 3 answers
2. asked by Jake
3. 377 views
Please help me integrate this equation using partial fractions:Integrate [(x^2+5)/(x^3-x^2+x+3)]dx. Thank you very much.
1. 4 answers
2. asked by JAE92
3. 394 views
I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -ln abs(x)+C. But the answer on the
1. 1 answer
2. asked by JAE92
3. 373 views
Give a formula for the extended function that is continuous at the indicated point.F(x)= (x-4)/((√x)-2) at x=4 I know the
1. 3 answers
2. asked by Sarah
3. 2,824 views
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where p is the population size and
1. 3 answers
2. asked by Savannah
3. 1,513 views
A particle is moving along the x-axis so that at time t its acceleration isa(t)=ðcos(ðt) At time t=1/2, the velocity v of the
1. 4 answers
2. asked by Savannah
3. 1,472 views
I have to find y' if ln(xy) = x + y.Where do I start? I'm not sure what to do with that ln(xy)
1. 7 answers
2. asked by Sarah
3. 452 views
The integral from a to b of f(x)/g(x) equals ln[(g(b)/g(a)]. Find g'(x), and explain your reasoning.
1. 4 answers
2. asked by Simone
3. 535 views
Evaluate the indefinite integral of (ln(x))/(x + xln(x)) dx by using variable substitution. Show all steps of your work.
1. 2 answers
2. asked by Simone
3. 474 views
y=6-x y=x^2Find the area of the region by integrating with respect to x. Find the area of the region by integrating with respect
1. 3 answers
2. asked by janki
3. 3,530 views
I'm trying to find the second derivative of h(x)= x^2 + cos(kx)My answer for h'(x) is 2x - ksin(kx) but I'm not sure if that's
1. 1 answer
2. asked by Kris
3. 361 views
Find the derivative of f(x) = 1/x(27,000,000/pi + 6,750,000) + 20pix^2Can someone help me with this? Thanks.
1. 5 answers
2. asked by Kira
3. 364 views
Is there a connection or correlation between an increasing interval and a concave up interval? Explain?
1. 1 answer
2. asked by Ayu
3. 305 views
Consider the function (4)/(1-2^(1/x))1. Estimate the right-hand limit, lim x->0+ f(x). Back up your answer by making an analytic
1. 4 answers
2. asked by Sam
3. 497 views
Gateway Arch in St. Louis was constructed using the equationy=211.49-20.96cosh(0.03291765x) where |x|<=91.20 a) what is the
1. 4 answers
2. asked by Patricia
3. 1,358 views
Find the limit as x->infinity of ((3x+2)/(3x+4))^(3x+1)
1. 3 answers
2. asked by Patricia
3. 393 views
If f(x) is continuous on the interval [4, 7], how many of the following statements are true?A. f(x) has a maximum value on [4,
1. 2 answers
2. asked by Billy
3. 985 views
What is the maximum volume in cubic inches of an open box to be made from a 16-inch by 30-inch piece of cardboard by cutting out
1. 3 answers
2. asked by Vikram
3. 1,965 views
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x(1/3) + 6x(4/3). You must
1. 3 answers
2. asked by Vikram
3. 1,501 views
If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c
1. 5 answers
2. asked by Vikram
3. 1,951 views
If f(x) = |(x^2 - 6)(x^2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem?
1. 3 answers
2. asked by Vikram
3. 4,244 views
Use the table below to evaluate d/dx [f[g(2x)]] at x = 1x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4 I
1. 2 answers
2. asked by Vik
3. 699 views
The radius of a 12 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.2 inch. What is the
1. 2 answers
2. asked by Vik
3. 716 views
How do you solve a system of logarithmic equations? They have completely different bases:{(log(25)^3)x + (log(2)^7)y = log(5)^27
1. 2 answers
2. asked by Carmen
3. 737 views
What are the six trigonometric functions of 2010 times pi?
1. 1 answer
2. asked by Melannie
3. 378 views
If csc x = -2.5, what is the value of x?
1. 1 answer
2. asked by Sandra
3. 339 views
If a sinusoidal function has a local maximum at (3,8) and the next local minimum at (7,-2),1) What is the equation of a cosine
1. 2 answers
2. asked by Jake
3. 599 views
The functions are f(x)= lnx, x>0 and g(x)=sinx. Let H be the composition of f with g, or H(x)=f(g(x)) andA) Find the domain of H
1. 1 answer
2. asked by Anoop
3. 415 views
Without using a calculator, what is the exact value ofsec(arctan(12/5)) - sin(arccot(3/4))
1. 3 answers
2. asked by Michael
3. 875 views
What is an algebraic expression for cot(arccos ((x+1)/2)?
1. 2 answers
2. asked by Michael
3. 912 views
From a height of 10 meters in the third floor of an apparent that building, the angle of depression of two cars moving on the
1. 4 answers
2. asked by Michael
3. 360 views
One of the equal angles of an isosceles triangle is 55 degrees. If the base is 20 cm, what is the perimeter and the area?
1. 3 answers
2. asked by Michael
3. 518 views
A hiker walks due east for 40 minutes, then changes course by going South 25 degrees West. After 20 minutes, he changes course
1. 2 answers
2. asked by Michael
3. 938 views
Solve graphically (x-2)^3(x+4)(3-x)^2(x+1)^4 <0
1. 3 answers
2. asked by Michael
3. 353 views
If r and s are roots of the pokynomial equation x^2 + bx + c, show that b=-(r+s) and c=rs
1. 1 answer
2. asked by Michael
3. 320 views
Theta is an angle between the lines L1 and L2 with the slopes m1 and m2. Prove that tan theta= (m2 - m1)/(1+m2m1).
1. 2 answers
2. asked by Michael
3. 458 views
Water pours at a constant rate into a conical tank of height 10 feet and radius 4 feet. Let V, h and r be the volume, height,
1. 2 answers
2. asked by Michael
3. 727 views
The height h of a closed cylindical tank is 4 times longer than he radius r.Write the volume of the tank as a function of r.
1. 1 answer
2. asked by Michael
3. 392 views
A 5.5 foot man walks away from a 12 fokt lampost at a constant speed. At a given moment, let l be the length of the man's shadow
1. 1 answer
2. asked by Michael
3. 427 views
A rectangle is inscribed in a right triangle with legs of length 5 and 12. The sides of the rectangle are parallel to the legs
1. 3 answers
2. asked by Michael
3. 903 views
Please help I'm stuck on this problem for the past hour.Define f(x)= { Ln lx-1l }/x A) show that f(c) is continuous at x=2
1. 3 answers
2. asked by Annie
3. 538 views
Could someone please help me with this?Calculate the instantaneous rate of change of f <note: f(x)=(x-6)/(x+6)> at x=6.
1. 3 answers
2. asked by Annie
3. 311 views
Sorry but I've got a lot of problems that I don't understand.1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the
1. 4 answers
2. asked by Annie
3. 839 views
Um I don't really understand these word problems so could someone help me please?1) An object is thrown upward with an initial
1. 6 answers
2. asked by Annie
3. 566 views
There's these two word problems I don't understand.1. A man 6 ft tall walks at a rate of 5 ft per second toward a streetlight
1. 2 answers
2. asked by Annie
3. 1,220 views
I'm not sure how to go about this problem:Find the equation of the line tangent to the curve x^2 + 2xy + y^3 = 4 at y=1 in the
1. 3 answers
2. asked by Annie
3. 357 views
Could someone please help me with these tangent line problems?1) Find the equation of the line tangent to the given curve at the
1. 3 answers
2. asked by Annie
3. 929 views
Please help me with this WS1) Find the value of lim as x-->-(square root of 3) of (-x^4 + 5x^2 -6)/(x+(square root of 3) 2) Find
1. 2 answers
2. asked by Annie
3. 583 views
The position function of a particle in rectilinear motion is given by s(t) = 2t^3 - 21t^2 + 60t + 3 for t ≥ 0. Find the
1. 3 answers
2. asked by Anon
3. 913 views
So the problem is "For x>0, d(lnx)/dx = 1/x and lne=1.A) find the tangent line approximation for ln 3 B) calculate the %error in
1. 4 answers
2. asked by Annie
3. 486 views
What's the lim(x-->-infinity) sqrt(x^4-1)/(x^3-1)?I've tried solving for it but I got -1/0, which would make it undefined. Is
1. 1 answer
2. asked by Annie
3. 293 views
The rate at which people learn about a secret is directly proportional to the number of people who know the secret. If two
1. 3 answers
2. asked by z.b
3. 899 views
Sinx+2cos(3y)=1
1. 1 answer
2. asked by Oscar
3. 207 views
The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function f(x) where f(2) = 8.- equation
1. 3 answers
2. asked by John
3. 364 views
Find the equation of a line tangent to the curve xy=√xy-x + 1 at the point (1, 2).A. y= 2-x B. y = 5-3x C. y = 5.667 - 2.667x
1. 1 answer
2. asked by Maria
3. 224 views
Suppose g(x) = { 1 / (x-2) if x < 1{2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the
1. 4 answers
2. asked by Anym
3. 325 views
Here's one we haven't worked with before: A circular oil slick of uniform thickness is caused by a spill of 1 cubic meter of
1. 3 answers
2. asked by Anmy
3. 1,114 views

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