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Recent Homework Questions About Calculus
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calculus
Give a possible formula for the illustrated function using a vertical shift of an exponential function. The two points marked on the graph are A=(−172) and B=(10). The red horizontal line is given by y=−3, and is a horizontal asymptote of the function y=?
calculus
Differentiate: h(t)=5sin(arccost)
Calculus
find f'(x) if f(x)=x^2cos^-1(ln*sqrootx)
Calculus
1. The problem statement, all variables and given/known data a ball is thrown straight down from the top of a 220 feet building with an initital velocity of -22ft/s. What is the velocity of the ball after 3 seconds? What is the velocity of the ball after falling 108 feet? 2. ...
Calculus
Suppose the revenue from producing and selling x units of a given product is given by R(x)=10x-0.02x^2 a) Find the number of units produced if the revenue is $800. I really need help with this, I don't know what to do?
calculus
x only exsists from [0,3.14] therefore what is the parallel tangent lines between f(x)=tanx and g(x)=x^2
calculus
Find the limit. lim h → 0 square root (49 + h) − 7 / h Note: Only 49 +h are under square root.
calculus
If the tangent line to the function f(x)=x+a at x=16 has equation y=mx+2, find a and m . You may use the fact that f'(x)=12x . a= , m=
calculus
wat is the indefinite integral of dx/x^2? Is it 2 ln /x/ + C?
Calculus
find f'(x) if f(x)=x^2cos^-1(lnãx)
calculus
what is the indefnite integral of (x^4+2x^2-1)/x^2
Calculus
y = square root 256- x squared, from 7 to 16 about x axis
calculus
If f(x)=x2+10, find and simplify the following: (a) f(t+8)= (b) f(t5+8)= (c) f(5)= (d) 5f(t)= (e) (f(t))2+8=
calculus
For the function f(x)=5e^x and g(x)=x^5, find the following: (a) f(g(1))= (b) g(f(1))= (c) f(g(x))= (d) g(f(x))= (e) f(t)g(t)=
calculus
Consider the function f(x)=65x−cos(x)+2 on the interval 0 less than or equal to x less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? Fill in the following mathematical statements, ...
calculus
Find the equation of the line given that f(x)=10^x and the point A is at x=log10(5).
calculus
Solve for x: 2x=ex+1
Pre-Calculus
Assume sin A = sin B. If A = π/8, find B. Please show work so I'll know what to do.
calculus
find the area enclosed by y=x^2 and y=sinx in the first quadrant.
Calculus
Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than or equal to x, and x is less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c)=k for which values of c and k? Fill in the following mathematical statements...
calculus
Put the function P=40(39)t in the form P0e^kt. When written in this form, you have: k= ? P0= ?
calculus
Solve for x: 2x=ex+1
calculus
Solve the equation 14=65(19)x for x using logs.
calculus
9e^6ln(A)= A^( )
calculus
Find the equation of the tangent line to the curve y=sqrt(x) at x = c. Put the answer in slope intercept form y=mx+b. Use the definition of the slope of the tangent with no short cuts.
Calculus
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the? Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8. 27y = x^3, y = 0, x = 6 V=
calculus 2
.Find the length of the curve y=e^x+1/4 e^−x between x=0 and x=1.
calculus 2
1.Find the length of the curve y=ex+1e−x between x=0 and x=1.
calculus
Find a formula for a quadratic function whose graph has a y-intercept at y = 21 and only one zero at x = –28.
calculus
what is the solution of this inequality?: x+3/x^2-5x+4>_0?
calculus
what is the solution of this inequality?: x+3/x^2-5x+4>_0?
calculus
If 25000 people board a ship at a rate of 400 per hour for 10 hours a 37 minutes a day. How long will it take for them to all board the ship?
calculus
If 25000 people board a ship at a rate of 400 per hour for 10 hours a 37 minutes a day. How long will it take for them to all board the ship?
calculus
If 25000 people board a ship at a rate of 400 per hour for 10 hours a 37 minutes a day. How long will it take for them to all board the ship?
calculus
If 25000 people board a ship at a rate of 400 per hour for 10 hours a 37 minutes a day. How long will it take for them to all board the ship?
calculus
I don't know if I'm typing it in wrong into my graphing calculator but I need to estimate the limits of sin(8 theta) / theta
Calculus I
We're reviewing limits from the previous chapter, but I'm still having some difficulty with some problems: lim tan(pi(x/4)) as x-> -7 lim (x^2 - x^3(cos(1/x))/3x^2 as x-> 0 I know the answer to the first problem is 1 and to the second problem it's 1/3 but I&#...
Vector Calculus
2. Use the properties of the dot product to show that (⃗b·⃗c)a−(͈7;a·⃗c)⃗b is perpendicular to ⃗c. Must be shown for arbitrary vectors. Im sorry, I'm really stuck on this. I know that is a vector is ...
calculus
actually an ODE question(but there's no diff. eq. subforum) (y^2)(dy/dx)+y^3/x =2/x^2 using substitution u(x)=y^3 so I've been doing a few of these and getting them all wrong and this problem... I don't know where to start. I tried (1/u)(du/dx)+u/x(du/dx)=2/x^2 but...
Calculus
Consider the function f(x)=2x^3+4x^2+3, and let c be a number in the interval [0,1]. For what values of k is there a c in the interval such that f(c)=k?
Calculus
Consider the curve -8x^2+5xy+y^3=-149 1. Find Dy/dx 2. write an equation for the line tangent to the curve at the point (4,-1)
Calculus III- Please Help
2. Use the properties of the dot product to show that (⃗b·⃗c)a−(͈7;a·⃗c)⃗b is perpendicular to ⃗c. Must be shown for arbitrary vectors. I have tried to assign each vector (b,a,c) arbitrary identities with unit ...
Calculus
A pomegranate is thrown from ground level straight up into the air at time t=0 with velocity 128 feet per second. Its height in feet at t seconds is f(t)=16t^2+128t. Find the time its hits the ground and the time it reaches its highest point.
calculus
find the integral of e^x/[(e^x-3)(e^x+4)] dx
calculus
Find the volume of the solid bounded by the curves y = 4 - x^2 and y = x revolved about the x axis.
calculus
Consider the function f(x) = piecewise [(x^3)(cos(1/x)) , x=/=0], [0, x=0]. Use the definition of the derivative at a point to determine if f is differentiable at x=0 I am not sure how to start this question. Am I supposed to plug in x = 0?
Calculus
Find the volume of the solid whose base is the region bounded by y=x^2 and the line y=0 and whose cross sections perpendicular to the base and parallel to the x-axis are semicircles.
Calculus
Find the volume of the solid formed when the region bounded by y=3x^2 and y=36-x^2 is revolved about the x-axis.
Calculus
Let R be the region bounded by y=x^2, x=1, and y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line x=-11.
Calculus
Let R be the region bounded by y=x^2, x=1, and y=0. Use the shell method to find the volume of the solid generated when R is revolved about the line y=-2.
calculus
A plane flying along a straight path loses altitude at the rate of 1000 ft for each 5200 ft covered horizontally. What is the angle of descent of the plane? (Round your answer to one decimal place.)
Integral Calculus
Solve using Integration by Substitution : ∫√x2-a2/x dx ∫√c2-a dx ∫ ln (√y + 3) dy ∫(5y+4) dy/√5y-1
Integral Calculus
∫(5y+4) dy/√5y-1
college calculus
what is the derivative of [x^(y)]=[y^(x)]
MATH -CALCULUS
SKETCH THE REGION ENCLOSED BY THE GIVEN CURVES: Y=|10X|, Y=X^2-11
Calculus (Vector-Valued Functions)
"a ball is thrown horizontally from the top of a cliff 256 ft high with an intial speed of 50 ft/sec. find the time of flight of the ball and the distance from thr base of the cliff to the point where the ball lands"
calculus
Find area of the region under the curve y = 5 x^3 - 9 and above the x-axis, for 3¡Ü x ¡Ü 6. area = ??
calculus
The question I'm having problems with is If f(x)=3x^2+7x+2, find f'(4) , using the definition of derivative.f'(4) is the limit as x--> ________ of the expression __________________. The value of this limit is _________________. I've got the first part that f...
calculus
statistical midels predict that price p (in dollars) of a new smartphone will change according to the function p= 900-4t^2, where t is the number of months since jan. which expression gives the month t in terms of the price p?
Calculus
Find f'(x) if f(x)= Logx(x^2-5x+6) NOTE: that logx is a sub x
calculus
Find f'(a). f(t) = t^4 − 7t
calculus
Let f(x)=(x^2)+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x-axis?
Calculus 2
U subtitution for Arc Tan(x)/ x^2 +1 dx
calculus
Find Mx, My, and (x, y) for the laminas of uniform density Ï bounded by the graphs of the equations. (Use rho for Ï as necessary.) y =1/5 y = 0 x = 4
calculus
An object moves along the x-axis, according to x= (pi/2)t + sin(pi t). a) What is the largest velocity such an object attains? b) Identify one interval on which the object is accelerating in a positive direction. Explain your reasoning. c) Name one part of that interval for ...
calculus
Find Mx, My, and (x, y) for the laminas of uniform density ρ bounded by the graphs of the equations. (Use rho for ρ as necessary.) x = −y x = 5y − y2
calculus
Eight and one-half foot-pounds of work is required to compress a spring 3 inches from its natural length. Find the work required to compress the spring an additional one-half inch. (Round your answer to two decimal places.)
calculus
Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y = (2/3)x^(3/2) +7 ;[0,6]
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4
Calculus
Derive the integral of cos^n (x) dx= (1/n)cos^(n-1) (x) sin(x)+((n-1)/n)(integral of cos^(n-2) (x) dx
college calculus
use the definition of derivative to prove that lim x->0 [ln(1+x)]/[x] = 1
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the x-axis,the y-axis,and the line x = 4
Calculus-Related Rates
Three elementry kids are at a field day hula hoop contest. They were the last one standing of the heated competition. They have been hula hooping for 10minutes. Student1 (S1) is at point (6,5); Student2 (S2) is at point (6,1) while student 3(S3) is at (1,1). Finally, the gym ...
calculus(Lab)
Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw four inscribed ...
Calculus
Over what open interval does the formula F(x)= int from 0 to x of dt/t represent an anti derivative of f(x) =1/x? Find a point where the graph of F crosses the x axis.
Calculus
Let F(x)=int from 0 to x of (t-3)/(t^2+7) dt for -infinity <x< infinity. a. Find the value of x where F attains its minimum value. b. find the intervals over which F is only increasing or only decreasing. c. Find open intervals over which F is only concave up or only ...
Calculus
True or false: If f(x) is continuous on the interval [a,b] & if the definite integral of f(x) over this interval has value zero, then the equation f(x)=0 has at least one solution in the interval [a,b]. True or false: If f(x) is continuous everywhere and F(x)= int from 0 to x ...
Calculus
limit of (x+sin(x))/x, as x approaches 0
collge calculus
find the derivative of y=[(4^(7x))(7^(4x))]/[10^(e)] without using logarithmic differentiation!
calculus
discuss the curves under the headings given in this section y=x/x-1
calculus
Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y = ln (sin(x)) ,[π/4,3π/4]
calculus
Use the shell method to find the volume of the solid generated by revolving the plane region about the line x = 9. y = 7x − x2 y = 0
calculus
Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 6x y = 18 x = 0
Calculus
Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi.... a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel like that's wrong. b. Write an equation for each vertical tangent to the curve. c. find d^2y/dx^2 in terms of y. d. Sketch a graph of the ...
Calculus
"Two cars are traveling along perpendicular roads, car A at 40mph, car B at 60mph. At noon, when car A reaches the intersection, car B is 90miles away, and moving toward it. At 1PM the distance between the cars is changing at what rate?" So lost! Please help!
calculus
The point on the curve for y = sqrt(2x+1) at which tangent is perpendicular to the line y = -3x + 6 is.... a. (4, 3) b. (0,1) c. (1, sqrt3) d. (4, -3) e. (2, sqrt 5) I'm not sure, but do you find the perpendicular slope (1/3) set that as dy/dx and solve for x or y? I tried...
Calculus
Astronomers have a mathematical model for the orbital speed of the stars as a function of their distance x from the center of the galaxy: V(x) = 350x/(1+(x^2))^(3/4) where x = 1 for 10,000 light years, x = 2 for 20,000 light years. At a distance of 10,000 light years, the ...
Calculus
what is the inverse function of f(x)=-[sqrt(25-x^2]
Calculus
Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the x-axis, and on the right by the line x=1, about the line x=-2
Calculus
Use the disk method to find the volume of the solid generated when the region bounded by 4= 1/(fourth root of (1-11x)), y=0, x=0, and x=1/22.
Calculus
Use the disk method to find the volume of the solid generated when the region bounded by y=15sinx and y=0, for 0 </= x </= pi, is revolved about the x-axis.
calculus
Hi i need help for calcul with a Moivre's theorem: ( 1/2 ( -1 - i√3 )) ^3 thanks for your help
Calculus II
Find the volume of the solid generated by revolving the triangular region with vertices (1,1), (b,1), and (1,h) about: a) the x-axis b) the y-axis
Brief Calculus
Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. f(x) = 1/x;[2, 7] I used the f(b)-f(a)/b-a and I got -.071 and it said I was wrong could you please help me find my error? WROK: y1= 1/x (...
Calculus II
Find the volume of the solid generated by revolving R about the x-axis where R is the region enclosed by the larger curve y=(e^2x)/3, the smaller curve y=1 and the line x=ln(3)
calculus
calculate y = log_10(x) where x = 0.3
Pre-Calculus
Verify: 1/(1-sintheta) * 1/(1+sintheta) = sec^2theta sec^2theta is the answer, it would be great if someone can do the steps for me. thank you.
Calculus
Using Descartes' Rule of Signs, solve: f(x)=x^3+x^2-x+1.
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = 6 − x y = 0 y = 5 x = 0
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. (Round your answer to three decimal places.) y = e^−x y=0 x=0 x=7 I got the answer ~10.783 Idk why it's wrong
calculus
how to find the continuity of this function? f(x)=1-3x^2
Calculus
What is total volume for 36" X 2" X 2"
Calculus
Suppose you have a rational function that its denominator is (X-c) and numerator can be any function. Suppose you need to find the limit of this rational function given as x goes to value c. Can you always say that for this problem the limit does not exist?
12th Grade Calculus
how will you multiply y = ae^3x + be^-2x with dy/dx = 3ae^3x - 2be^-2x
calculus (limits)
Use limits to explain why f(x)= (7-3X)/(X+9) has a vertical asymptote.
calculus
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to have the largest possible volume, what fraction...
Calculus 1
find an expression for a cubic function f if f(1)=6 and f(-1)=f(0)=f(2)=0
Calculus 12
Simple query. plz tell me in brief. How will u slove this -3 log 3 + log 2 + 2 log 4 Plz explain
Calculus
Find a function f(n) which gives the rightsum approximation for the area under the given curve from x = 3 to x = 9 using n rectangles.
Calculus AB
A particle is moving along the x-axis so that at time t its acceleration is a(t)=ðcos(ðt) At time t=1/2, the velocity v of the particle is 1/2. Find the velocity of the particle at any time t. I think I got that right, as sinðt + C. Now it wants the minimum ...
calculus
Find the limits Lim(sin kt/t) t approaches 0 and (K is constant) How do you start this and go about it stepwise? Does knowing (K constant) help me to solve this?
Calculus
How do I find the limit of (1+sin(pi times x))^(1/x) as x approaches 0? I tried using wolframalpha, but am unable to understand their steps. My thinking is that you set y=the limit and use L'hopital's rule a couple times. The answer I got was y=e^0--->y=1, but the ...
calculus
find the relative extrema and points of inflection, if possible, of y = xln((x^4)/8) Any help would be awesome...thanks! (i know that the relative extrema come from critical values from y' and points of inflection come from y'')
Calculus
y= [(x-3)/(x^2+1)]^2 find the derivative. I know i would start off with the chain rule. but would i then continue on and use the quotient rule next?
Calculus
y= ln3x *e^2x^2 + sin5x^2 find the derivative. i know what to do. but what is the derivative of ln3x? I can plug it into the product rule then nd solve
Calculus
y= [(x-3)/(x^2+1)]^2 I know that I would use the product rule on the whole equation inside the brackets. But would i also do the quotient rule bc of the division?
calculus
find the derivative of f(x)=2-x^2, a=2
calculus
Throughout the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.4 million megawatt-hours. Find the average yearly ...
math/calculus
Find f’’(x) if f(x)=(6^x^2+3)
math/calculus
Find f’’(x) if f(x)=(6^x^2+3)
math/calculus
Find f’’(x) if f(x)=(6^x^2+3)
calculus
An airplane flies at an altitude of 5mies toward a point directly over an observer. The speed of the plain is 600 miles per hour. Find the rate at which the angle of elevation thetha is changing when the angle is 75 degrees. Please help with this question.
math-calculus
solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
math-calculus
|2x-3|-|2x+5| = 0 i please need helps with this.
math-calculus
using quadratic formula solve |x^2-2x-6| = 4. and answer have to be 1+-sqrt3, 1+-sqrt11 i just not get how to get this.
calculus
How do you find the points of continuity for F(x) = sin(x^2-2) ? Can you show your work? Thx
math-calculus
value of |7|-|-6|+|-cubicroot-64| i got 25 after doing whole thing but real answer be 5, i not get how to get that.
math-calculus
if graoh of y = g(x) passes through point (-3,-6) then graph of y = |g(x)| must pass through point. how it be this answer i want to know (-3,6)
calculus
Let g(x)=f(2x). Show that the average value of f on the interval [0,2b] is the same as the average value of g on the interval [0,b]. Please explain how this problem is done!!!
math-calculus
|3-x|-1 = |4x+2| i try to do this and i not get correct answer which be -4/3 and 0.
math-calculus
solve for x. |3x-2| = |2x+5|+1 okay so for these one it be |3x-2| = |2x+5| because 1 times in with |2x+5| or it be (-2x-5)
math-calculus
|2x-3|-|2x+5| = 0 i please need helps with this.
math-calculus
solve equation |x^2-2x-6| using quadratic formula. i not get how to do this and it says quadratic formula.
calculus urgent help please!
company operates two plants which manufacture the same item and whose total cost functions are C_1=9.5+0.04q_1^(2)and C_2=3.4+0.06q_2^(2), where q_1 and q_2 are the quantities produced by each plant. The total quantity demanded, q=q_1+q_2 , is related to the price, p , by p=30...
Calculus
prove that the integral of arcsec(x) is equal to xarcsec(x) - ln|x+ sqrt((x^2)-1)
Calculus (Math 2A)
express the function in the form f * g g(x) = cube-root (x/1+x) i know f(x) has to be something and g(x) has to be something i think that f(x) = x/1+x and g(x) = x^(1/3) but im not sure how to do this....thanks for the help!
Pre calculus
1. convert polar equation to rectangular coordinates: r^2=4sin2theta 2. find the coefficient of x^5 in the expansion (x+2)(x+1)^8
Calculus (Help please)
Find all the critical numbers for the following function. F(x) = (16 - x^2)^(3/5)
Calculus
Find all the relative extrema of f(x) = x = x3 – 3x2 + 4.
math-calculus
|2x+1|-|x-2| = 2 i not get how to do this cause everything on one side i never did these question like this before.
math-calculus
solving equations with two absolute value brackets |x+4| = |x-2| so i want to know how to do this? do i always have to write out the four piecewise possibilities? that be ++ -+ and +- ++ x+4 = x-2 4 = -2 not solution -+ -(x+4) = x-2 -x-4 = x-2 -4 = 2x-2 -1 = x solution +- x+4...
math-calculus
so with this one i do the same thing multiplying what inside absolute value bracket bar with what outside? |2x-8|-2 = 4x so that start me off as -4x+16 = 4x or 4x-16 = 4x. solve equation |x^2-2x-6| = 4 this nothing to do with factoring right? i just add six to both sides and ...
math-calculus
solve 3|x-8|=2x+7 i not get how to solve this the 3 infront of absolute value bracket confusing me.
Calculus (Math 2A)
Solve the difference quotient for the given function f(x) = x^3, (f(a+h)-f(a))/h i forgot how to do this problem
calculus for business
The weekly cost of manufacturing x telephones per week is found by a manufacturer to be C(x) = 500 + 20x = x^2 dollars. the telephone can be sold at a price p = $80 each. find the manufacturing break-even production level and for what production levels will the manufacturer ...
math-calculus
the roots of the equation |x^2+2x-10| = 5 are -5, 3, and -1+-sqrtN value of N is? A. 6 B. 8 C. 12 D. 24 please help with this.
math-calculus
for which of following functions is graphof y = |f(x)| identical to graph of y = f(x)? A. f(x) = 2x B. f(x) = -2x C. f(x) = 2x^2 D. f(x) = -2x^2 i real not get this.
Calculus (Parts A and B done, just help with C)
The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second. A. At the time when the radius of the sphere is 12 meters, what is the rate of increase in its volume? B. At the time when the volume of the sphere is 36pi cubic meters, what is the rate of ...
math-calculus
complete solution to 12-|x| = 9 is 12-x = 9 -12frm both sides -x/1 = -3/1 this what i get.
math-calculus
the absolute value function g(x) = |5-x| can be written as a piecewise function. the piecewise function which represents g(x) is this have to be g(x) = x-5 if x be greater to or equal to five. and the negative piece have to be 5-x. does it matter if i write -5+x instead of 5-x...
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