ydy – ydx = xdx; when x = y= 0

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provide...

A:

Q: Sketch the region enclosed by the given curves. y = x* - 15x?, y = x? 20 4 40 -6 -2 6 2 -20 20 -6 -4...

A:

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: planes - parametric equation

Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

A:

Q: If the marginal costs for the production of æ power drills can be modeled by the function C'(x) = 51...

A: Answer: The solution is given below:

Q: A 500 gallon tank initially contains 50 gallons of brine solution in which 28 pounds of salt have be...

A:

Q: 4 sin (2x) dx cos (2x)t4

A:

Q: Let a = ci + j and b = 3i + 4j. Findc so that the angle between a and b is . Round your answers to f...

A: We will use the formula of angle between two vectors to solve this question.

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back ...

A:

Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

A:

Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: 5. (2y- 3x)dx + xdy = 0

A:

Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A:

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y...

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: For the function f(x) x3/3 - 3/4 x2 - 27/2 x + 39 1. determine the coordinates of the turning oints...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Jean throws a boomerang whose trajectory is given by the vector function: F(t) = +5 cos (t),20+5 sin...

A:

Q: nd the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, en...

A:

Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

A:

Q: An investment loses 3.1% of its value every week. Find the half-life in this situation. The half-lif...

A:

Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

A: We are asked to find the derivatives of the following.

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

A:

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

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

Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools fro...

A: As per the guidelines I can solve only first question 

Q: Show that the functions in Exercises 21-28 have exactly one zero in the given interval. 21. f(x) = x...

A: Given problem:- Show that the functions  have exactly one zero in the given interval 21. f(x) = x4 +...

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x = ...

A:

Q: given the system of equations: 4x(x2 + y - 11) + 2(x + y2 - 7) = 0 2(x2 + y - 11) + 4y(x + y2 - 7)...

A: We need to solve the given system of equations for x and y: 4xx2+y-11+2x+y2-7=02x2+y-11+4yx+y2-7=0  ...

Q: e 2t Given that y, (t) = cos t is a solution to y"-y' +y = sin t and y, (t) = is a solution to y" -y...

A:

Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

A:

Q: 1 Evaluate lim(cos0)1-cose

A:   It is given that, limθ→0cosθ11-cosθ. Let y=cosθ11-cosθ.   Take log both sides the above equation. ...

Q: Calculate sin r e at a 10 to get 15 correct significant digits. What is the 14th digit? Answer:

A: Given expression is: sinx-x We have to calculate it at x=10-6.

Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

A:

Q: f(x) : x?

A:

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: +oo (x – 1)" Consider the power series >- log n n=2 (a) Show that the resulting series when x = 0 is...

A:

Q: A chemical substance has a decay rate of 9.5% per day. The rate of change of an amount N of the chem...

A: We can use exponential decay function to module the given data

Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: Find the surface area of the solid of revolution obtained by rotating the curve 2y – y? from y = to ...

A:

Q: 2 ア=x,y=2r

A:

Q: Find the derivative of the function at Po in the direction of u. f(x, y, z) = In(x 2 + 3y 2 + 9z 2),...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 1. lim 3 2. lim 57 3. lim log r

A:

Q: +o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is co...

A:

Q: solve the integral: integral from negative infinity to positive infinity [ (1)/(4x2 + 4x + 5) ] dx

A: The given integral is ∫-∞∞14x2+4x+5dx we find the value of the integral using proper substitution.

Q: dy Find given that dt dx x + y = 2x + 4y, x= 3 y = 1, and %3D = 6 dt dy %3D dt

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

A:

Q: %24 dl 10 4 60 S 8. 9- 5. 3. 2 # esc (Do not round until the final answer. Then round to the nearest...

A: Question- An investment loses 2.4% of its value every week. Find the half-life in this situation.