the temperature (in F) at point (x,y)(measured in miles) is given by  T(x,y)=80-x4 +2x2 y-y2 How fast is the temperature changing at the point (1,0) if you move in the direction <3,-1>? (use units)

Q: de dx = x(6x - 0) + (3x² –9).1 = 6x² + 3x² -9 = 9x -9 (x² -1) | II

A: We know that derivatives of xn is : d(xn)/dx = nxn-1. And product rule of derivatives is  d(U.V) = U...

Q: 5e*dx V9-12e3* +4e6x

A:

Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

A:

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

A:

Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: Express the function below in rectangular form, (-1+i)-1+i

A: z = -1+i-1+i                                                                         1z = -1+ii-1+iz...

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

A:

Q: S cos(7x) cos (18x)dx

A:

Q: Setup an integral to find the surface area obtained by rotating the curve y = e" about the line y = ...

A:  Given: y=ex   about the line y=119  with the limits 0≤x≤4.6 To obtain the new limits and the Surfac...

Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

A:

Q: solve with Laplace transform with x(0)=0

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

Q: 1. Evaluate the limit of as x approaches 3. В. 3/5 x2-4x+3 A. 3/2 C. O D. 5/2 4x-x 2. Evaluate the l...

A: Note: According to our expert guidelines only first three subparts are to be answered.kindly repost ...

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: Use numerical or graphical evidence to determine the left and right hand limits of the function. |7x...

A: find the limit of function, using graphical or numerical method. from the solution, we can say that ...

Q: Question 17 Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2)...

A: To find out the value of b. 

Q: The following shaded region is to be rotated about the line æ = 1 to generate a solie y = g(x) y = f...

A:

Q: a set of n values x1, x2.. X n has (3 standard deviation 6, the standard deviation :of n values x1 +...

A: This question is related to statistics.

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A: for the exact DE we have to make it separable DE so that we can separate the variables and then inte...

Q: ху (x+ Vy² + 1)dx – (y - dy = 0 2+1 4.

A:

Q: 9. The three midpoints are given as shown below. A (X), y1) D(-7, 6), F (2, –2) G (x, y) B E (8, 5) ...

A: Since you have posted multiple questions , as per our guidelines we will answer the 1st question for...

Q: The current population of a certain bacteria is 4747 organisms. It is believed that bacteria's popul...

A: We know that,  P(t)=Aekt where,  P(t) - population at time 't' A   - Initial value k   - rate of gro...

Q: Use integration by parts to show that, for n > 2, 1 cos a sin"-1 n 1 sin"-2 xdx. n - sin" xdx = x + ...

A:

Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a...

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of cy...

Q: Determine whether the integral is convergent or divergent. 4 dx (x - 6)3 convergent divergent If it ...

A:

Q: ACTIVITY 2 :Keep Practicing! Answer the following problems : 1) Find the number in the interval 12, ...

A: Given interval is [-2,2] Iy is required to find the number so that the difference of number from its...

Q: (Ā+B) • Č, if à = (1, 2, 3), B = (-2, 3, 0) and Ở = (5, 3, 2) Solve for А. 10 В. 12 С. 14 D. 16

A:

Q: 5. A trapezoidal trough is 10 ft long. 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. ...

A:

Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

A:

Q: Q/ Find the Domain and Ranye for the fallowing Kuncti Vx+5 「メ+」 Vã -1 (3 ) y= (2) y= %3D x?+ 1 14) y...

A: As per the company's guidelines, we are allowed to solve the first three parts. Kindly repost other ...

Q: Find an equation of the tangent line of y = e" cos T, at z= 0.

A:

Q: How many solutions does the following system of equations have? x - 3y + z = 2 3x - 4y + z = 0 2y - ...

A:

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations

A:

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: 28. tan (2x) sec (2x) dx

A:

Q: 3x-5 12x+41 7. The derivative of g(x) = 8. The derivative of y = V5x² – 6 is y' = is g'(x) = (4x+7)2...

A:

Q: Write down your complete solutions. Enclose all final answers in a rectangle. 1. Obtain the Derivati...

A:

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.    

Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1 (...

A:

Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

A:

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: I = (4xy' + (y')²)dx

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Let's the check the answer by using differentiation   ddx2xx+153=23ddxx32+15x                       ...

Q: A comet passing by a star, with initial velocity (30, 60), experiences a force which causes it to ac...

A:

Q: 1. Using the definition, find the derivative of f (x) = x² – 8x + 9 at the number x = a.

A:

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

A:

Q: Evaluate the following using a trigonometric substitution. Draw and label a reference right triangle...

A:

Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.

Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

A:

Q: 2. Evaluate the following iterated integrals. (») L rey dy dx In(a² + y? + 1) dx dy (b) 4- y

A: