Evaluate y' of the given functions: (х-4) y = x2

Q: 20. Explain Mathematical Ideas (1)(G) Explain why the radius of a regular polygon is greater than…

A: The radius of a regular polygon is the distance from the center to a vertex. The apothem is the…

Q: Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z) = 2.x + y – 22 subject…

A: We have to find maximum and minimum value of given function.

Q: dr

A:

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: A farmer wants to enclose a rectangular field with area 1,000 square meters by fencing it into four…

A:

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 6sxs1. The…

A:

Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

A:

Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Based on the results of the three symmetry tests for polar equations, what type of symmetry, if any,…

A:

Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D

A: ∫01xx2+9dx

Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

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

Q: Find the Me a of the Jhaded) reylan 9=x-2 2. 2. 4 5 3. 2.

A:

Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

A:

Q: V16-x polar coordinates to evaluate [' [" V16-x 4.) Use y tan™

A: Let's find.

Q: Q3.4:Choose the appropriate answer: 1-If P(A)=0.7 ,P(B)=0.2, P(AnB) = 0.5,then P(A U B) = c)2 a)0.6…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

A:

Q: 4. Find all real values of x such that |x-1| : Ix+11. O (00,-1| O (00,0) O 1,0) O 1,1) None of the…

A: Given query is to find the value of x.

Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

A:

Q: Let C(x)= x2+4x+1 dollars be the cost function, where the x represents the quantity. The estimate…

A: Cost

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A: Probability

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

A: ----------------------------------------

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: dy = -xy %3D dx

A:

Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

A:

Q: dc The marginal cost of printing a poster when x posters have been printed is 1 dollars. Find c(9) –…

A:

Q: 5-10 Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates. 5.…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: Calculate the total area of the glass needed for a KLEEMANN curved building design with a function…

A: we have to find area.

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

A:

Q: 5. A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of…

A: We need to find rate of water leaking.

Q: Find the limit. lim (t i – 3 j + t² k) t→8 Exact number, no tolerance. lim (1 i– 3 j+? k) i+ i j+ i…

A:

Q: sech (r?t2 using logarith mic differon Tiation ニ r

A:

Q: of the minor axis to the major axis? A) 3 B) 3 ulw wIN

A:

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

A:

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x-45. Round…

A:

Q: What is the probability you draw two cards of the same color from a standard 52 card deck vou are…

A:

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if x-yl se, then…

A:

Q: Find the nth derivative of y = In(16x2 – 9).

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

A:

Q: x³ +2x2-3x 2) Evaluate lim -6-1. x² +4x+3 X-3 Show every step.

A:

Q: j(r) = e sech

A: The given function,      jr=esechr2+2r