Cable AB passes over the small ideal pulley C without a change in its tension. What length of cable CD is required for static equilibrium in the position shown? What is the tension T in cable CD? T A 44° D 1.9¹ Answers: LCD = i TCD= C B 45 lb ft lb

Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: m d 4. f(x) = ln 3/4-x x-bf + bf)

A: ddx9+9-x

Q: smal 150 125mxa 081 dia! 3a. Find the coordinates of the relative maximum and relative minimum of…

A:

Q: B) Find derivative of the following function d -6tanx dx

A: Find derivative

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A: Let's solve given diffrential equation.

Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: 3a. Find the coordinates of the relative maximum and relative minimum of the following equation:…

A: solution:-f(x)=x-32e2xf'(x)=x-32ddxe2x+e2xddxx-32…

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A:

Q: (x2 + y2 + z²)5 = -23. Calculate əz/ax using implicit differentiation. O əzləx = x/z O əzləx = 2x/z…

A:

Q: Find the derivative of the function f(y), below. It may be to your advantage to simplify first. f(y)…

A:

Q: At time t = 1, a particle is located at position (x, y) = (2, 1). If it moves in the velocity field…

A:

Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A:

Q: 3x²y dx − (x³ + y³)dy = 0,_y(1) = −2 -2

A: See the details solution in below

Q: Q.IB) If w=f(u, v) where u = tan ¹2 &v=ln(x² + y²), the show that: Əw dw aw +y ax dy 2- ду x-

A:

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: nπ X

A:

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: y = √√x(x² + x³) Calculate the derivative using the product rule. f(x) = and g(x) = which means that…

A: Topic:- application of derivatives

Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1

A: Here we have to evaluate the limx→0x2ln(secx)

Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy2 +…

A:

Q: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

A: R = {1,2,3,4,5,6} and S = {2,4,6} is set S a subset of set R?

Q: dont understand what you have done in at the beggining

A:

Q: Find dy dx dy dx if y= x³ + 7x + 5 2² +6

A:

Q: (a) By separating the variables and integrating, solve the following initial value problem:…

A:

Q: Q.2A) Evaluation: If Z = x.n.f (*), then show that: x. z₁+y. Zy = z

A:

Q: Solve the following initial value problem. y" + 16y=4 sin 2x; y(0) = 1, y'(0) = 0 The solution is…

A:

Q: For the following, problems, find the volume generated when the region between the two curve is…

A: The volume (V) of a solid generated by revolving the region bounded by y=f(x) and y=0 (x‐axis) on…

Q: Use the p-test to decide if the following integrals converge or diverge. If it converges finds its…

A: Topic:- application of integration

Q: Set up the the integral to find surface area for f(x)=x^4+1 over [1,3] show all steps for setting up…

A: The solution is given below

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A:

Q: An ice cream store was able to sell 2500 ice cream in a week at $3.50 per ice cream. The owner…

A:

Q: SHOW FULL SOLUTION. DIFFERENTIAL CALCULUS. To measure the area of a quadrangle, two students decided…

A: The objective of the question is evaluate the distance between A and B.

Q: The Value of the integration for the below function shown is : I se sec²2xdx

A: See the details solution in below

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: Let's find value of y(1.2)  = ?.

Q: Given the function z = f(x, y) = 3x² +6xy + y² + 8y, find the following: a) Find gradient at (-2, 3)…

A:

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. The point P(2,-1) lies on the…

A:

Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

A:

Q: Evaluate the following - ² (x − 1)(x − 2)(x-3) integral

A: Given problem:-

Q: Problem 8. Find critical numbers of (1) f(x)=2³-3x²+1, (2) f(x)=³/5(4-x).

A: Given :f(x)=x3-3x2+1f(x)=x35(4-x)

Q: If ū² = and find xu

A: This question can be solved using the concept of vectors.

Q: A- The result of the following limit is 2x² + 3x lim xx0x³ + x + 1

A: The objective of the question is evaluate the limit .

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: In this question we have to find the volume generated by rotating the region bounded by the given…

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

A:

Q: an ellipse has vertices (-10,-4) and (6,-4), and covertices (-2,-9) and (-2,1). find its standard…

A:

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A:

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Canary Company invested $92,400 into a fund for 5 years. What nominal interest rate compounded…

A: