Let C be the curve parametrized by the equations.  x = e^2t - 2t, y = 4e^t (a) Find dy/dx in terms of t  (b) Find the equation of the tangent line when t =ln2

Q: Practice

A: Approach to solving the question: Detailed explanation:

Q: A canoe is being paddled at 2 knots (nautical miles per hour) on a heading of 080°. The current is…

A: Please see the attached image for the solution.  If there are queries, please do not hesitate to…

Q: 2.8

A: Step 1: Step 2: Step 3: Step 4:

Q: Fast please..

A:

Q: Find the number of trapezoids when the interval [11.3, 13.7] under a graph is uniformly divided into…

A: Given interval: [11.3,13.7] Total length = 13.7−11.3=2.4 length of each sub interval = 0.4 The…

Q: Listen Given the following matrix, and the associated cofactor matrix C - -1 -2 1 600 A = 03 1 C = 4…

A: Step 1: Step 2: Step 3: Step 4:   Thanks....

Q: 3.4

A: Step 1: Ratio Test:The Ratio Test states that for a series ∑a_n​, the limit L as n approaches…

Q: In Exercises 39-42, graph the functions. Note: In each case, the graph crosses its horizontal…

A: To graph this, we first need to identify its intercepts, asymptotes, and domain. To solve for the…

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

A:

Q: (1 and 2) Explain how to solve these question in detailed steps.

A: Step 1:1. Given, f(x)=8x3+81x2−42x−8, we need to find absolute maximum point on the interval [-4,…

Q: Write the first-order differential equation in standard form. (Use yp for y'.) y' = x7y + sin(x)

A:

Q: Use the washer method to find the volume when the region between y = x + 2, y=2x-1, and x = 0 is…

A: Step 1: To find the volume using the washer method, we integrate along the y-axis. The washer method…

Q: An object is dropped from a tower, 1296 ft above the ground. The object's height above the ground t…

A: Step 1:

Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: Please comment down for any doubt. I hope my answer helps you.

Q: See attached for question, thanks!

A: Step 1: Step 2: Step 3: Step 4:

Q: use the graph to answer a and b

A:

Q: Question 17. Use logarithmic differentiation to find dy for the implicit function た dx (1+x)5 (1 −…

A:

Q: bonus

A: Step 1: Step 2: Step 3: Step 4:

Q: I am needing assitance with the problem in the attached image, 5.9.

A: Step 1:Step 2:

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

Q: Please answer parts a and b

A:

Q: 2) A balloon advertising an open house is stabilized by two cables of lengths 20 ft and 30 ft…

A:

Q: ChatGPT x Sy extreme points of f(x)=(23x)/(x'…

A: Approach to solving the question:  Detailed explanation:

Q: S₂ S Now Ꮖ (xy+5) dydx try the integral X dady to see why the order of integration is important.…

A: To solve the double integral, we first integrate with respect to y: ∫27​[−7(xy+5)71​]34​dx This…

Q: e ƒ(x)=—, given ƒ'(x)= €*(x−1), ƒ *(x) = e* (x² -2x+2) x² Analyze the function f(x) = i) Domain and…

A: The objective of this question is to analyze the function f(x) = e^(x)/x^2 in terms of its domain,…

Q: Find a plane through the point (-4,-8,6) and orthogonal to the line:

A: # if you have any questions or queries please feel free to ask me.

Q: 39. iM 8 Answer C tan 1 n

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the area of the triangle having the following vertices: M(-2, 3, 0), N(-4, -1, 2), P(0, -3, 2)…

A: Here are the steps to find the area of the triangle with vertices M(-2, 3, 0), N(-4, -1, 2), and…

Q: Find the point on the line 4x + 2y + 4 = 0 which is closest to the point (5, 3). Answer is

A: Step 1: State the given information.Equation of the line: 4x + 2y + 4 = 0Point: (5, 3) Step 2: Write…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A:

Q: ○ f(x) 4. Compare the relative rates of growth of the following pair of functions and give the…

A: Step 1: 4-Hence the growth of function g(x) is faster than f (x). Step 2: 5- Step 3: 6- Step 4: 7-

Q: find the following for the function given: - Domain and range - Intercepts - Critical Points and…

A: Step 1: Step 2:Step 3:Step 4:Step 5: Intervals of Increase and Decrease:              f(x) is…

Q: Please help me with this question, full detailed solution thank you. See attached

A: Step 1: Step 2: Step 3: Step 4:

Q: Given f(x, y) = 5e² sin (4y) vs (0.7) -

A: The explanation is above. Feel free to request clarification.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: 2.1

A:

Q: Find a plane containing the line r(t) =< 5, -4,7 > +t < 5, 5, 3 > and orthogonal to the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the differential df of the function f = tan(x). Use it to find an approximation for the…

A: Find the derivative of f(x):  Compute f′(x), which is the derivative of tan(x), giving sec2(x).…

Q: 1. Find all critical points of this function. f(x, y) = 7x8y+2xy - x² + y ³ Then classify each…

A: Step 1: Step 2: Step 3: Step 4:

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A:

Q: Write the first-order differential equation in standard form. (Use yp for  dy/dt.) dy dt…

A:

Q: - 1- Calculate the cross product assuming that u× w = (-4, 1, 1) (-u-3w) x w = 〈

A:

Q: Approximate the area under the curve graphed below from x = 3 to x = 6 using a Left Endpoint…

A: thank you for this question

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: Sure, I can help you with this velocity data problem.To estimate the height above the Earth's…

Q: Solve the initial-value problem by using integrating factors. y' + y = x, y(0) = 7 y(x) =

A:

Q: A manufacturer has determined the marginal -cost function dc/dq below, where q is the number of the…

A:

Q: Find the point P on the graph of the function y=x√ closest to the point (4,0)

A: We can find the point P on the graph of the function y=x​ closest to the point (4,0) by minimizing…

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0<π r = = 3(1 -…

A: Step 1: Analyze the Polar EquationThe equation r = 3(1 - sin(θ)) defines a relationship between the…

Q: Using the attached theorms, Solve dx/dt =4x+y , dy/dt=-2x+2y

A: Step 1: Step 2: Step 3:

Q: what are the 3 values of lambda if  −λ3+12λ2−14λ+2=0

A: