Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) Vg(3, 0) =

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

A:

Q: Solve the seperable differential equation for. dy 1+ x ;x > 0 xy5 dx Use the following initial condi...

A:

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the exa...

A: We know that the expression for the area of the triangle △PQR is: A=12PQ→×PR→ The given vertices of ...

Q: Which of the following functions are solutions of the differential equation y" + 16y = 64x? KE sin(4...

A:

Q: 3s – 5 L-1 [(s (s – 5)(s + 2)²]

A:

Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: ue Q(t) = 2400e-0.05t where t is measured in years, answer the following questions. (a) What is the ...

A:

Q: Evaluate the following integrals: 1. S (3* + 4°)² dæ

A: We can find the integration as below

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,...

A:

Q: 39. Determine the value of b such that the function х -а х>3 f(x) = } -2 x = 3 (ах — b х <3 is conti...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (6x-y)^12 ax^4y^8

A: The given binomial 6x-y12

Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form ai+b...

A:

Q: the edge of a tablecloth. The fringe comes in 5. Leslie needs 324 inches of fringe to put around of ...

A: one jar make 26  so 4 jar make = 26*4 = 104 cup    1 yard = 36 inch 10 yard = 360 inch leslie requir...

Q: learning.mheducation.com Question 3 of 7, Step 2 of 2 3/17 Correct The effectiveness of a certain me...

A:

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

A:

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: The objective is to write the required differential equation.

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

A:

Q: Obtain the solution using Integrating Factors Found by Formulas. 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x +...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: its principal argument. 12. Suppose the complex number z is situated along the real x axis, then the...

A:

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: 2. 2x Vx-2 dx

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

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх - 15у - 32%3D7 4x - 20y – 4z =...

A: Answer is given below.

Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

A:

Q: Integral of 2xln(1+x)

A: We will solve the integral. 

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

A: I am attaching image so that you understand each and every step.

Q: Homogeneous Equations: Solve the differential equation xdy – ydx - x2 - y?dx = 0 arccos ((-) = In cx...

A:

Q: - partial fraction 1 -dx x(x² +1}

A:

Q: 1. Find the general solution of the differential equation: d°y d'y dy , dy - - dx6 dæ3 dx2

A:

Q: Determine the homogeneity of the following function x^3-xy+y^3

A:

Q: (b) Find the value of ? in factored form: 4. [3/ (x - 4)] = [((3x + 36) / ?] 5. [4/ (2x + 5)] = [? /...

A:

Q: Find the sum of the convergent series. 1 1 (a) 2n 3n n=0 (b) (sin 1)" n=1 9 27 +... 8 (c) 8+6+ + 2 1...

A: a) ∑n=0∞12n-13nb) ∑n=1∞sin 1nc) 8+6+92+278+...... Note:     Multiple parts are given, we are answer ...

Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 8) v = (sin(0),...

A:

Q: Consider the integral e dr. How large should we choose n to guarantee that Simp- son's Rule approxim...

A:

Q: Let y = 2/ī. Find the change in y, Ay when x = 2 and Ar 0.1 Find the differential dy when z = 2 and ...

A:

Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

A:

Q: 3. c ² +7z+10 dz, C: |F|=1

A:

Q: A data set has n items. The sum of the items is 800 and the mean is 20. (a) Find n. The standard dev...

A:

Q: Which of the following functions are solutions of the differential equation y" + y = 9 sin(x)? y = 9...

A:

Q: %3D For which values of a andb does the function f(x) = ax/(b + x2) have a critical point at x = 1 a...

A:

Q: 수) +sin?y-0 2 (fy) dx dx

A:

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the ye...

A: Given a function relating the number of phone  subscribers from year 2000 to 2010

Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: We now use the substitution u = x° + 8x and du = (9x8 + 8) dx to convert the entire integral into on...

A: Given the integral  ∫9x8 + 8x9 + 8x2 dx We now use the substitution  u=x9+8x and du=9x8+8 dx.

Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

Q: VII. Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0 2. ...

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 3y = 0, y(0) = 1, y'(...

A: We have to solve above Laplace transformation