Which of the following equations is a homogenous DE? O (xy? + x)dx + (x²y- y)dy=D0 O (x- y)dx+ (3x+ y)dy =0 O (x3 + xy? + x?)dx + x² ydy =0 O 2yly? - x)dy = dx

Q: is a factor of 2 + 5z2 – 5x +1. - O I+1 O 2z +1 O +2 O 2x -1

A:

Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

A:

Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

A: Given query is to find the area of the shaded region.

Q: 2 2 2 2 4' 16' 64' 256' 1024

A:

Q: Select all that apply. Select the functions whose value is zero. sec 270° Csc 360° tan 90° cos 270°…

A:

Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the…

A:

Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: The probability that an event will happen is . What is the probability that the event will not…

A:

Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

A:

Q: y x/x, x-4, and y =0 -2

A:

Q: After substitution is performed, which of the following is equivalent to (4r249)7 dx? 45 8 du u? 13…

A: We have to use the u subsitution method

Q: The temperature in degrees centigrade (◦C) at each point (x, y) on a curve 2x + y = 3 is given by…

A:

Q: Suppose we are given the data in the table about the functions f and g and с. their derivatives.…

A:

Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

A:

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A:

Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: Step 3 Apply the Fundamental Theorem of Calculus, which states that f(x) dx = F(b) - Fa). Use this…

A: We can complete step 4 by the cross multiplication method.

Q: x2 - 6x + 8 lim x--2+ x3 - 4x

A:

Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

A:

Q: 6- Give ā = [A, B]and b = [F,E], find VProj(b onto ā) and SProjd onto b). Resolve d into…

A:

Q: Type the correct answer in each box. Create a matrix for this linear system: (3x+2y+z D26 I-4y -11…

A:

Q: Use the chain rule to find the derivative of: cos(7 + 8x)

A:

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

A:

Q: 12. A force of 170 N is applied to move an object 90 m horizontally. If the force is directed 33°…

A:

Q: If x= tane , then dr = coso de . (1+x?)½ A True B) False

A:

Q: 2. Find the desivative ofy= Binx

A:

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A:

Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

Q: 4) Find all values in the interval [-2z,27]at which the graph of fhas a horizontal tangent line.…

A: -2pi = -6.2832 2pi = 6.2832 we can see from the graph 5 values satisfies horizontal tangent, we can…

Q: .5 2. 2. dx =D dx- (6+z*) o o (x²+9)½ 's (x²+9)½

A:

Q: sin $ 3 y cos*3 ydy

A: We have to solve above integral

Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: Use the chain rule to find the derivative of f(x) = 6/3x + 5x10 Type your answer without fractional…

A:

Q: Use Lagrange multipliers to find the point on the plane x – 2y+ 3z = 6 that is closest to the point…

A: Let, the point be (x,y,z) then the distance between (x,y,z) &amp; (0,1,4) is:…

Q: q. [sec' x/1 + tan x dx

A:

Q: Let F(x) = f(x*) and G(x) = (f(x)). You also know that a' = 5, f(@) = 3, f'(a) = 13, f () = 1 Then…

A:

Q: y = x/x, x = 4, and y = 0 ... Revolve the area of the shaded region about the x-axis. Using circular…

A:

Q: NOTE: Enter your answer in terms of i, j, and k. r(11):

A:

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: Find f'(2).

A:

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: A job applicant estimates that his chance of passing a qualifying examination is , and his chance of…

A:

Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

A:

Q: If f(x) = 4,/¤In(x), find f'(æ). %3D Find f'(2). Submit Question

A: Given

Q: Find r'(t). r(t) = (tan(11t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

A: r(t)=((tan-1(11t))i+tcos(t)j-tkDIfferentiate w.r.t.…

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.