Find the derivative of the function at P, in the direction of u. x- 3y g(x.y) = 2хy +3 Ро(1, - 1), и3 3і+ 4j (Du9) (1, - 1) =U(Simplify your answer.)

Q: du Identify u and dx for the integral /u( dx. | (8 - 5x?)*(-10x) dx u = du dx

A:

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is ∫x(9-7x2)5 dx

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A:

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

A:

Q: Let B be the region in the first octant inside both x + y + z? = 1 and Vx2 + y² . Z. 3= a) Find the…

A:

Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: Write a in the form a = a-T+a,N at the given value of t without finding T and N. )3 (7 e*cos t)i+ (7…

A: Given that;                      a(0)  = atT + anN     Let's   Find  the value of at and an.

Q: (4x – 5y) lim (x,y)→(1,1) 5x² – 7y O -1/2 O 1/2 Limit DNE

A:

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

A:

Q: and ue. Find the velocity and acceleration vectors in terms of u, r= 5 sint and 0 = 8t

A:

Q: 2 x= - 5, x=2, y = 5x, y =x -6

A:

Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: 10. (x + 3x3 sin y)dx + (x* cos y)dy = 0

A:

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: 81. Area Find the area between the graph of y = sin x and th line segment joining the points (0, 0)…

A:

Q: Evaluate the integral: /3 arctan () da *Input answer as decimal round-off to 2 decimal places.

A:

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

A:

Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: Find the following. 5) dx (13,5 + 5) dx = (Type an exact answer.)

A:

Q: Determine if the following integral converges or diverges. If the integral converges, find its…

A: To determine whether the given integral converges or diverges.

Q: 2. Determine the value of c, so the given vectors are perpendicular: u=[-4c, 3], v = [-1, 2]

A: L

Q: Evaluate the following indefinite integral. dx dx = (Type an exact answer.)

A:

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

A:

Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…

A:

Q: dx 1 1+3x2 V3x 9. 6. Option 1 Option 2 2v37 V3x 3. Option 3 Option 4

A:

Q: The graph below shows Bob's velocity as he walks in a straight line from his home. miles min (4,2)…

A:

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(1) = (1+1)100 2. f(x) =…

A:

Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A:

Q: y = x² + 1 y = 2r- 2

A: Here, from the given figure, the area bounded by the given curves are: A=∫-12∫2x-2x2+1dy dx

Q: Find the limit 4x2+17x lim x+0 ex-1 a. 1 17 b. None of these. c. с. О O d. 17 е. 1

A:

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 2. 2, 4, 8, ...…

A:

Q: You measure 43 dogs' weights, and find they have a mean weight of 34 ounces. Assume the population…

A:

Q: Express the slope of each diagonal line (the one side of each shape which is not horizontal or…

A:

Q: Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz…

A: The integration of the integral is 1/sqrt(e2x-1).

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A:

Q: The temperature at which water starts to boil (its boiling point) is linearly related to the…

A:

Q: What is the final answer

A: