6. Solve the differential equation: 2xydx + (x² - 1)dy = 0 А. ху - 1- с B. x'y - y = C С. x y = C D. x'y - y = C E. No

Q: -2 is a critical number of the function f(x) = 2x - x2. Select one: O True O False

A: Given: f(x)=2x-x2

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

A:

Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: Sè baucy) dy

A:

Q: can I get a written formula? I cannot understand the solution that you gave to me. please asap  !!!

A:

Q: how did you get infinity

A: we need to know that limx→∞(x)=∞ and limx→∞x2=∞and∞=∞

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

A:

Q: 2. Determine the area of the region bounded by the curve y = x³ – x2 – 2x, and а. the x-axis b. the…

A:

Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: Give the range of the function f(x) = -x 2. all reals y ≤ 0 y ≥ 0

A: The given function is: f(x)=-x2

Q: 2(- 1)"- n²+ 4 n – 1 n=1 n²+3

A:

Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

A:

Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

A:

Q: use the first fundamental theorem of calculus

A: To solve the following problem

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

A:

Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

A:

Q: Can you please type it

A: Answer is given in next step.

Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: Differentiate the following. 2r-3 1. y = e

A:

Q: I do not understand the process. The process here shows alot of 0ddxx's I am unsure if this is an…

A:

Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

A:

Q: Q2. Do as required: (40 Marks) 1. Evaluate: f(x) = S, di at a = 1 2. Find the Taylor series of f…

A:

Q: 4. A car maker finds that at a sticker price of $25,000 it can sell 3,600 cars a week in a…

A:

Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

A:

Q: Describe the long run behavior of f(x)=-2(4)x+4

A:

Q: dy Siven the equation below, find dz 16z° + 2ay + y° = 19 24. dy de low, find the equation of the…

A: Given query is to find the derivative and the equation of the tangent.

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

A:

Q: Eliminate the arbitrary constants on the given equation: y = Ae + Bxe" O y = y' – 2y O y' + 2y +y =…

A:

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

A:

Q: n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

A: Please refer to the image below

Q: Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a…

A: Solve the following

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

A:

Q: f has a local minimum when x = -2

A:

Q: Step 1 Given :x+ y = e2x + 2y -> Step 2 X + y = = e2x +2y di f ferenciate wrt x thenl - %3D

A: Let's find.

Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

A:

Q: The function f : R → R defined by f(x) = cos(x – –) is a. one-to-one and onto. b. onto but not…

A:

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A:

Q: -7 -3 A 87 23 Find the eigenvectors of the given matrix: -.1 1 1 i 3 - 15

A: Solution

Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A:

Q: Prove or disprove the following statement by induction 1-3-5. ... ·(2n-1) a.) 2n whenever n is a…

A:

Q: 75° 4 A = (b) 0.4 rad 15

A: Given, theta= 75° Radius(r)= 4 units We know that, Area of sector= (theta/360°)×(pi×r²) Substituting…

Q: Differentiate x+y= e2x+2y || A. y' 1-2e2+2y 1+2e2+2y B. y': -1+2e2s+2y %3D 1-2e2x+2y C. y' = 1 D. y'…

A: Given :x+y=e2x+2y