# Homework Help: Math: Calculus

## Recent Homework Questions About Calculus

Math - Calculus 1
Approximate using derivatives. (Must show work using derivatives!) Do not use a calculator: (1.1)^4 - (1.1)^2

Calculus - Related Rates
Suppose that you are watching a spaceship take off. You are 100 meters from the launch pad, and you measure the angle made by the rocket and the ground to be increasing at a rate of (d)(theta)/dt = 0.1 radians per second. What is the velocity of the rocket when theta = pi/4?

Math - Calculus 1
Approximate the following value using derivatives (without a calculator) (1.1)^4 - (1.1)^2 I only know how to do linear approximation when using square roots. How do I do this type of problem?

calculus
use Simpson's with n=10 to approx. f(x)= x sin x, 0¡Ü x ¡Ü2¦Ð round to 6 decimal places I know I set up the calculation correctly like this: (pi/15)(f(0)+4f(pi/5)+2f(2pi/5)+...+2f(8​pi/5)+4f(9pi/5)+f(2pi) I keep getting a negative answer but I know that the answer ...

Calculus 1
Rick has 1200 feet of fence that he wants to use to enclose a rectangular garden. Find the maximum area the garden can have.

Pre-Calculus
Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(A-B).

Pre-Calculus
Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Cos(A+B).

Pre-Calculus
Given Sin(A) = ⅗ and Cos(B) = 8/17 in Quadrant I, find Sin(A+B).

calculus
find the minimum distance from the point (4,1) to the parabola y^2=4x.

calculus
12. (1 point) The height y (in feet) of a ball thrown by a child is y = − 1 16 x 2 +4x+5 where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child’s hand? (b) What is the maximum height of ...

Pre-Calculus
A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. [cot(x) – 1] / [cot(x) + 1] = [1 – tan(x)] / [1 + tan(x)], x = π/4 I solved A and I believe it's true; however, I need help with B.

Pre-Calculus
A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. Sec(x) / tan(x) = tan(x) / [tan(x) – cos(x)],x = π I already solved A and I believe it's true; however, I need help with B.

calculus
Beast Mode Question: I am seating in one of the corners of the room when the time was exactly 12:30PM. I was decided to go to the other corner of the room at 12:35. I go outside of the room when the sun was directly ahead of me. Find the inclination of the sun at 2:00PM with ...

Calculus
Sketch a rough graph of the yield of a crop as a function of the amount of fertilizer used. I do not know what to do, can someone guide me?

Calculus II
If f(x) - x cos (x), how many intervals would be needed to approximate with the Trapezoidal Rule with an error of E<.01?

Calculus
find the intervals on which f is increasing and decreasing f(x)=(x-2)/(X^2-x+1)^2 I found the derivative a got a whole mess of things: ((x^2-x+1)^2-2(x^2-x+1)(2x-1)(x-2))/(x^2​-x+1)^4 Do I have to use the quadratic formula to solve for the vertices to find where it is ...

calculus 1
Find equations of all tangent lines to the graph y=4x3−19x+40 which pass through the point (2,2) ​(not on the​ curve).

Calculus
Give an example of a function with a critical point that is neither a maximum nor a minimum. Specify the relevant point(s). This is what I have and this is what I got wrong... A function with a critical point that is neither a maximum nor a minimum would be f(x)=x^2 if F(x) = ...

calculus
Find the dimensions of the rectangle of maximum area A that can be inscribed in the portion of the parabola y^2=4px intercepted by the line x=a. heres another problem pls help Damon!!! Graph it if possible

calculus
Match club charges annual membership dues of 100 pesos per member, less 0.50 cantavo for each member over 600 and plus 0.50 centavo for each member less than 600. How many members should give the club most revenue from annual dues? I'm spamming this question, need quick answer...

calculus
Match club charges annual membership dues of 100 pesos per member, less 0.50 cantavo for each member over 600 and plus 0.50 centavo for each member less than 600. How many members should give the club most revenue from annual dues?

maths sir-reiny help calculus
solve the differential equation (x^2-xy+y^2)dy-xydx=0 plz show me working

Calculus
Hello! I need help with this problem, its been irritating me for days! Any help would be greatly appreciated! Here’s the question.. The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tip of the hands changing at 10:00...

calculus help
y=cosxcosy-sinxsiny/sinxcosy+cosxsiny find dy/dx plz show me working

Calculus
What type of discontinuity is this? f(x) = 2x+8,x<4 and x^2,x>4 I think it's a point discontinuity.

Pre-Calculus
This question has me stuck. Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

Pre-Calculus
tan theta = 1/2, what's sec theta?

Pre-Calculus
csc theta = sqr root of 5, what is cot theta?

Calculus
Write the equations of the circle in general form. 1. Points on circle (0,0), (0,8), (6,0) 2. Points on circle (1, -1), (2, -2), (0,-2). I don't know how to solve this given the fact that I don't know what the center or the radius of the circle is.

pre-calculus
sine theta = 1/3 and cos theta = 2/3, find tan theta

pre-calculus
sin theta = 1/4, find sin (-theta)

Pre-Calculus
csc theta = (sqr root 5) over 15, find sine theta

Math (calculus 3)
A football is thrown down the field by a quarterback from a height of 1 foot with an initial velocity of 40 feet per second at angle of pi/6 radians. If a receiver catches the ball downfield at a height of 1 foot above ground; a) How long was the ball in the air? b) What was ...

AP Calculus
A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8). 1. When is the particle moving toward the ...

Calculus
Thank you - (Enter your answers using interval notation. If an answer does not exist, enter DNE.) y = 4x + [5/sin x], (−π, π) concave upward (x,y)- concave downward (x,y)-

calculus help me
help find dy/dx if y=cot(x+y) working plz

Calculus
1. Use a graph to estimate the limit. Use radians unless degrees are indicated by θ°. (Round your answer to four decimal places.) lim θ → 0 θ/tan(7θ) 2. Assuming that limits as x → ∞ have the properties for limits as x → c, use ...

Pre-Calculus
If csc theta = square root of 5 divided by 15, find sin theta

Calculus
Find an equation of the tangent line to the graph of f at the given point. f(x) = x + (4/x), (4,5) I tried using the limit process a lot, but it didn't quite work. If possible, please use the limit process. Thanks a lot to whoever answers this question.

Pre-Calculus
Find two exact values of theta in degrees (0 less than or equal to theta < 360°) if cos theta = -(square root of 2)/2.

Pre-Calculus
Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

Pre-Calculus
Use a calculator to approximate two values of theta (0 <= theta < 2pi) if csc theta = 1.03. Round answer to two decimal places.

calculus help plllllz
if you go with the right substitution ∫[{(1-sin(x))/(1+sin(x))}{(2-sin(x​))/(2+sin(x))}] dx plz show me solution

calculus help me pllllllllllz
Find out what kind of improper integral is given below §dx/{x^4+4}....?,hence evaluate the integral with upper boundary=infinity lower boundary =0 i need help plz show me full work

Calculus
Water is flowing into a hemispherical bowl having a radius of 10cm at constant rate of 3cm^3/min. When the water is x cm deep, The water level rises at a rate of 0.0149 cm/min. What is the value of x?

Calculus
Construct a function f : R 2 ¡æ R such that its saddle points are given by {(n, 2m+1−n)|n ¡ô Z, m ¡ô Z}, where Z is the set of integers.

calculus
plz help show me steps solution evaluate the integral §dx/[(x+1)root(1-x^2)]

Calculus
Evaluate the limit using algebraic techniques. limit of (x^2 - 25)/(x^2 - 4x - 5) as x approaches 0. How do I do this?

Calculus
Find the set of points that the following function is continuous at them . f(x)= { (2x+1)/(x+3) if x<0 (√(x+4)-2)/2x^2-3xx if x>0 -1/3 if x=0

Calculus
Find all the values of a and b in such a way that f is continuous function on its domain. f(x)= { (√x+a)+1 if -a ≤x ≤ 0 2x^2+3 if 0 ≤ x ≤ 1 (x+b)^2+1 if x>1

calculus help
if y^3=6xy-x^3-1 show that the maximum value of y occurs where x^3=8+2sqrt(14)

Calculus
Even after looking up how to do this and reading about it I still don't know how to find the slope of curve or the deritives . Please help solve these problems. 1. Y =x^3 p(-1, -1) 2. Y = x^4 /2 p(-1 , 1/2) 3. Y= 8x^4 -7x^2 +5x + 6 p(-1,2)

Calculus
Suppose you know f′(a) = R, a, R > 0. If f is an odd function, what is f(−a)? Explain

calculus
a ladder 10m long is leaning against a vertical wall with its other end on the ground. the top end of the ladder is sliding down the wall , when the top end is 6m from the ground it is sliding down at 2m/sec. how fast is the bottom moving away from the wall at this instant?

Calculus
(kx^2)+m, x<-2 g(x)=e^(ln(2x+3))-2<x<3 kx-m, x>3 Find values of k and m

calculus need help
solve d^2y/dx^2+y=tanx plz help me aldo i was given a link to read on but i cant even acess it just help

maths calculus need help plz
solve d^2y/dx^2+y=tanx show working plz i don't no it at all

Calculus
Find a value for k so that the function is continuous. f(x) = {(x^2 + 2x - 15)/(x - 3), x ≠ 3 and 2kx - 4, x = 3 Is k = 2?

calculus help me asap
if y^6=tanh^-1(tan^-4(4x^2+y^2)^2)^9 find dy/dx show work....

Calculus 2
A culture of bacteria is growing at the rate of 20e^0.8t cells per day, where t is the number of days since the culture was started. Suppose that the culture began with 50 cells. (a) Find a formula for the total number of cells in the culture after t days. (b) If the culture ...

Calculus III
Topic: Quadric surfaces. I have two homework problems, and they are quite a doozy for me. So the point is, I am given details of a quadric surface on the Cartesian coordinate system, and thus have to use the data to construct an equation through it. ====================== Find...

calculus and chemistry
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10°F. The initial temperature of the liquid is 160°F. After 5 minutes, the liquid's temperature is 60°F. How much longer will it take for its temperature to decrease to 20°F? (Round ...

calculus
A container of hot liquid is placed in a freezer that is kept at a constant temperature of 10°F. The initial temperature of the liquid is 160°F. After 5 minutes, the liquid's temperature is 60°F. How much longer will it take for its temperature to decrease to 20°F? (Round ...

calculus plz help me
Show that the numerical value of the radius of curvature at the point (x1, y1) on the parabola y^2=4ax is [2(a+x1)^3/2)]/a^1/2. If c is the centre of the curvature at the origin O and S is the point (a, 0), show that OC=2(OS) plz show me working plz

calculus need help
If 3ay^2=x(x-a)^2 with a>0, prove that the radius of curvature at the point (3a, 2a) is 50a/3. Help with working plz

Calculus
If a ≠ 0, then the limit of (x^2 - a^2)/(x^4 - a^4) as x approaches a is: How do I do this type of problem?

Calculus AB
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 B)Where on the interval [-2,2] is f discontinuous? Show the work that leads to your conclusion. C) classify the discontinuities in part b) as removable ...

stats
Jason, a freshman at a local college, just completed 15 credit hours. His grade report is presented below. Course: Calculus, Biology, English, Music, P.E. Credit Hours 5, 4, 3, 2, 1 Grades C, A, D, B, A The local university uses a 4 point grading system, i.e., A = 4, B = 3, C...

Calculus
Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function evaluated in 9] . I don...

Pre-Calculus 11
Two positive numbers x and 1-x add up to 1. Let the sum of their reciprocals be k. Find the only possible value of k such that x is a rational number. Hint: set up the equation and solve x with k in it. You'll encounter the quadratic formula in your solution.

Pre-Calculus/Math
a slow growing population of animals increases with time (years). the size of the population is given by P(t)=100+0.6t^2-0.004t^3. how fast is the population changing after 10 years?

Calculus integrals
Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?

Calculus
Hello all, I would like some confirmation on a limits question. The limit is as h --> 0, [sqrt [73-5(x+h)] - sqrt (73-5x)]/h I multiplied by the conjugate of the numerator and reduced everything down to this final answer: [(-5)sqrt(73-5x)]/2 Is this correct?

differential calculus
A bulldozer costs \$120,000 and each year it depreciates 8% of its original value. Find a formula(equation) for the value V of the bulldozer after t years.

Calculus
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 2 j − 7 k

Calculus
Find the tangential and normal components of the acceleration vector. r(t) = t i + t2 j + 4t k aT= aN=

Calculus
I am sure this is the last time i am bothering you steve for today! you are very helpful. 1) I have to find the population density i which r is 0.2 apart and distance is 1.2km so there are total 7 values from 0 to 1.2 , i am taking right and left end-point approximations and ...

Calculus
The curves r1(t) = 5t, t^2, t^4 & r2(t) =sin t, sin 4t, 3t intersect at the origin. Find their angle of intersection, θ, correct to the nearest degree.

Calculus
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 5 ln t, y = 8sqrt(t), z = t^5 (0,8,1) (x(t),y(t),z(t))=( )

Calculus
Sir i need help in two questions, i am stuck ! 1) Calculate the population within a 7mile radius if the radialpopulation density is 6(3+r^2)^1/3 ? Use decimal notation and aswer should be in million. 2) Find the volume of solid obtained by rotating the region enclosed by y=x^2...

Math
In​ Marissa's calculus​ course, attendance counts for 10​% of the​ grade, quizzes count for 20​% of the​ grade, exams count for 55​% of the​ grade, and the final exam counts for 15% of the grade. Marissa had a 100% average for&#...

Calculus
Find the average interval of function 3x^3-12x^2 on the interval [-5,4]? My answer is 114.75 but when i put it on submission , it tell me that its wrong not sure why kindly help and tell me right answer

Calculus
Hello, I need help with this limit: Lim ((arctanx-x)/x^3) X->0 I can't use L'Hospital Rule or series. I don't get what to do. Can you give an idea?

Calculus
Engr. Ramos is walking at the rate of 5m/sec along the diameter of of a circular courtyard. A light at one end of a diameter perpendicular to his path casts a shadow on the circular wall. How fast the shadow from the man to the center of the courtyard is 1/2 r ,where r is the ...

Calculus
The function f relates state variables f:Q↦S according to a power function f(x)=Axp. For each state, give the corresponding equation involving the parameters A and p. (Q,S)=(6,11) implies ____=_____ (Q,S)=(5,19) implies ______=_____

Calculus 1
sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

Calculus 1
sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is falling at a rate of 20cm^3/sec. How fast is the height of the sand pile increasing when it is 3cm high?

Pre-Calculus
The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the answer to two decimal places.

Calculus
The following equation defines y as a function of x. −5xy−3x=−6y

Calculus
An airplane takes off from an airport at sea level and climbs at the constant rate of 5m/s . The outside air temperature T varies with altitude h according to the law T=15-0.0065h where T is measured in degree Celsius and h in meters above sea level . Find the rate of change ...

Calculus
How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436

Calculus integrals
Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

Calculus
I really need help. Create an appropriate table of values for the function f(x)=tan3x/7x and use the reslut to estimate lim as x approaches 0 tan3x/7x

Calculus
An electric circuit switches instantaneously from a 5 volt battery to a 18 volt battery 3 seconds after being turned on. Sketch on a sheet of paper a graph the battery voltage against time. Then fill in the formulas below for the function represented by your graph. for t < ...

Calculus
a) Find parametric equations for the line through (4, 1, 4) that is perpendicular to the plane x − y + 2z = 7. (Use the parameter t.) b) In what points does this line intersect the coordinate planes? xy-plane? yz-plane? xz-plane?

Calculus
Consider the following planes. 5x − 4y + z = 1, 4x + y − 5z = 5 a) Find parametric equations for the line of intersection of the planes. b) Find the angle between the planes

Calculus
Find (a cross b)dot product a? & Find the cross product(a × b) dot product b? a = 1, 1, −1 b = 4, 8, 10

Calculus
I can not seem to get this right Find an equation of a sphere if one of its diameters has endpoints (5, 5, 5) and (7, 7, 7).

calculus
If F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, find F '(1).

math
Y=Ax^2+Bx has agradient of 7 at the point (6,8) ,find the constant numbers of A and B ? *calculus*

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