1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the hot air balloon is vertically rising at a rate of 5 ft/sec. Find the rate of change between the distance of the man and the hot air balloon when it is 40 feet high.

Q: 3 Find the area of the surface generated by revolving the curve y = 9 The area of the surface is…

A: Here we have to find the surface area.

Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

A:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: I > | − 4 • xª + 5ª

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Assume that f(x) has a critical point at x = c and that f"(c) = 0. Select the correct statement. A.…

A:

Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

A:

Q: Sx³√4 - 2x² dx 3

A: We have to solve integration

Q: 0 Figure A y = x³ y = √√x X

A: Given

Q: Find the derivative. f(x) = e. 3x

A:

Q: Find dyldx at x = pi/3* y = sinh'(2x) O 0.8617 O 0.6817 O 0.6871 O 0.8671

A: This question is based on chain rule differentiation.

Q: Show that the following series diverges. Which condition of the Alternating Series Test is not…

A:

Q: The distance is (Type an exact answer, using radicals as needed.)

A:

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

A:

Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

A:

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

A:

Q: recurrence relation for the sequence {dn} that gives the amount of drug in the blood after the nth…

A:

Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: 1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

A:

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

A:

Q: For the function f(x): - 3x + 10, evaluate and simplify the difference quotient. Question Help:…

A: The difference quotient of a function f(x) is given by, f(x+h)-f(x)h

Q: Given cost and revenue functions and C(q) = 115q + 31000 and R(q) = -3q² +2500q, how many items must…

A: Let's find how many items must be the company produce and sell to break down.

Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

A: This question is related to linear equations, we will solve it using given information.

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

A:

Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

A:

Q: Verify that af ?x || 224 ?х ду = 224 ду дх - for f(x, y) = 7x®y³ – 5x5y4.

A:

Q: Find the area under the curve using intervals of 1 unit (X) each Integral - Area Under the Curve…

A: Reimann sum:Take the left point of sub-interval:∫16f(x) dx =∑i=1N f(xi*) ∆x∆x=1∫16f(x)…

Q: f sin x ln(cos x) dx

A: Our Aim is to evaluate the integral given below:-∫sin (x) ln cos x dx -(i)

Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

Q: 5. For z=x2siny show that 332 332 = дудхду дугдх

A: Topic = Derivative

Q: Please answer this, both parts; thank you!!

A: Here ia am providing my handwritten solution

Q: A population doubles every 24 years. Assuming exponential growth find the following: % help…

A:

Q: Find d da (36x + 4)

A: We have to determine derivative

Q: 17. DETAILS MY NOTES Consider the function below. (If an answer does not exist, enter DNE.) f(x) =…

A:

Q: Suppose you go to a company that pays $0.04 for the first day, $0.08 for the second day, $0.16 for…

A:

Q: Answer the question in the space provided and in full details. . Answer in complete sentences, with…

A: The triangle law of the addition of vectors states that two vectors can be added together by placing…

Q: Determine dyldx y= (r' +2)°and 1 = x %3D 2x² + 2x 3 5(x + 2) 3 Option 1 O Option 2 1 x2 +x2 2 (x +…

A: See  this  solution in below

Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A:

Q: Find fx. fy, f₂. 2 2 f(x,y,z) = 3x -√√4y +z² fx= 3 (Type an exact answer, using radicals as needed.)…

A:

Q: Let f(x) = 4ln(4x) f(x) = £' (5)

A:

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: Find the domain and range

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

Q: Evaluate the definite integral. 5 4u [(-*--*--* du (u + 3)² 4 5 1 ((---)-D 4u du (u+3)²2 4 (Type an…

A:

Q: (e) Sketch a graph of g(x).

A: We need to find horizontal asymptote and graph.

Q: 6. Find the area of the region bounded by the curves y = x + 1, y = 9-x², x=-1, x = 2.

A:

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

A:

Q: A triangle has variable sides x,y.z subject to the constraint such that the perimeter is fixed to 24…

A:

Q: Given a surface z = 9x² - y². = (a) Find the volume of the solid lying under the surface and above…

A: