rises at the rate of 8 Find the rate of change of the angle of elevation when the balloon is 25 feet above feet per second from a point on the ground 60 feet from an terr

Q: a) A guy picks up a positive rational number and multiplies it by itself three times i.e. he calcula...

A: A guy picks up a positive rational number ab

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

Q: by L'Hopital's rule 3sin e -1 lim

A: limθ→03sinθ-1θApply L-Hospital Rule

Q: Find the area bounded by the curves if x - 2y = 0 and x + 2y - 8 = 0. 1. For pt. of vertex x2 – 2y =...

A: (1)x2-2y=0y=x22for vertexdydx=02x2=0x=0vertex0,0(2)x2+2y-8=0y=8-x22for vertexdydx=00-2x2=0x=0vertex0...

Q: Find all intersections of the graphs of the following polar equations. r- 1 - 3 cos 0 and -5 cos o

A: Given polar equation r=1-3 cosθ      and r=- 5 cosθwe want to find the point of intersection 

Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car g...

A:

Q: Directions: Evaluate the following integrals. Show your complete solutions. Identify the u and the d...

A: Given: So,               ∫lnx34xdx=14·∫lnx3xdxLet u=ln x=14·∫ u3du=14·u44Substitute back u=lnx=14·l...

Q: Evaluate by any applicable method. T/2 S cos sin y dy 60 120 60 None of the choices. Please refer to...

A: Topic = Integration

Q: by L'Hopital's rule 3 sin 0 lim

A:

Q: 2. Consider a homogeneous differential equation, p(т, у) dx + q(z, у) dy %3D 0, where the coefficien...

A:

Q: dx -∞ (2x-1)3

A:

Q: 11. In x)3 dx 4x

A:

Q: Hw-4 problem SET 2.1 Yeduce to Pirs oreler and solve (1+ Cosn 6 gonod luck a^

A: First we reduce in first order that is integrate on both side.  According to guidelines we solve onl...

Q: Solve by Chain Rule g(t) = sin³ (e1-t + 3 sin(6t))

A:

Q: What are the inflection points?

A:

Q: Activity on ELLIPSE Directions: Determine the equation of the ellipse in Standard Form and General F...

A:

Q: Determine whether the improper integral is diverges or converges.

A:

Q: Translate: The product of three and the sum of an unknown number x and square of another unknown num...

A:

Q: Directions: Evaluate the following limits uring table of values. lim to

A: Let L is the value of given Limit.

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A: Distance is given as d=AP→×AB→AB→  

Q: Solve the equation z- 12=j(9-2z) where z is the complex conjugate of z

A:

Q: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b) y...

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more...

Q: 9 Find the length of the curve x = on 3sys5. %3D 27' 4y The length of the curve x = 9 - on 3sys 5 is...

A: We have to find arc length of give curve.

Q: dx Using Trigonometric substitution, prove that J A-rž arc sin x + C

A: The given integration is ∫dx1-x2     . We have to solve the integration using Trigonometric substitu...

Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,4, 1). NOTE: Enter the exac...

A:

Q: 3. Center at the origin; focus (0, 2); vertex (0, 3) 4. The foci have coordinates (-8, 0) and (4, 0)...

A:

Q: Find the measures of the angles of the triangle whose A. vertices are A(1,0), B(2,1), and C(1,-2).

A:

Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: Here, the given function f(x) is the cost (in dollars) of purchasing x candy bars.

Q: Average Monthly Temperature The average monthly temperature (in °F) in San Antonio, Texas, can be mo...

A:

Q: Let f(x) = x2 - (x + 2) and calculate f(x) dx by using integration by substitution. What was your su...

A:

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

A:

Q: Find the absolute extrema of the function f(2) = 6a? – a³ on the interval – 1 < e < 7 This function ...

A: Here we have to find the absolute extrema of the function f(x)=6x2-x3.

Q: A note card company has found that the marginal cost per card of producing x note cards is given by ...

A: In this question we have to find the total cost.

Q: 9. S sin(4x – 2) dx

A:

Q: Directiona: rolve the pollowing. 4) Given by flx) = x² +x² and glx) = 2dx; what is f'(x)-g(x) ? %3D

A:

Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

A:

Q: Convergent Sequence If a1=√5, a2=fourth of √5 raise to 3, a3=eighth of √5 raise to 7, a4=sixteenth ...

A:

Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area...

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat x...

Q: Applying the quetient rule, what is w() if hG)-

A:

Q: TOPIC: Integration by Parts Evaluate the integral of t cot^-1 t dt using the integration by parts te...

A:

Q: dy find dx

A: The given function,   ex+y=xy2

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x* - 4x2 + 3 (a) Find the i...

A: The given function is f(x)=12x4-4x2+3 ..................................................... (1)  Dif...

Q: step

A:

Q: 0. Reciprocal Substitution (x´ - x')"3

A:

Q: Given: 1. v = 2i – 4j + v5 k, u = -2i + 4j – V5 k 2. v =i+k, u = 5i + 12j | 3 4 Find: a. u· v, |v|, ...

A:

Q: lim ("V52"-1 52n-1

A: F

Q: Two poles, one 8 meters tall and one 20 meters tall, are 25 meters apart. A length of wire is attach...

A:

Q: Find the general solution of the equation: у" - у' - бу %3Dexp(-x) - 7 сosx

A: Given : y"-y'-6y=exp(-x)-7cosx