Use the gradient to find the directional derivative of the function at P in the direction of PQ. g(x, y, z) = xye, P(2, 4, 0), Q(0, 0, 0) %3D

Q: 5 Sine cose do 1. Sine+ 3sine - 4

A: Indefinite integral

Q: dy If y = tan? x, find da

A:

Q: The velocity of a car is v(t) = 42(t - 2)(t - 4) miles per hour on the time interval [0, 4] hours.…

A: We need to find distance traveled by car.

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). 13 r(t) = t'i+ t3j K(t) =

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Find the J(2x + 1)³ dx

A:

Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: Improper integral: If f(x) is not continuous at x=c where a<c<b and ∫ac f(x) dx and ∫cb f(x)…

Q: Change the order of integration. f(x, y) dy dx Jo

A: 0≤x≤10≤y≤xRegion bounded by:x=0, x=1y=0, y=x

Q: Given that f'(x) is continuous everywhere and changes from negative to positive at x=a, which of the…

A:

Q: Find an equation in cylindrical coordinates for the equation given in rectangular coordinates. (b)…

A:

Q: Derive the Maclaurin series expansion for f(x) = COS x

A:

Q: 2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

A:

Q: Find the Inverse Laplace Transform of the following functions: 16 a. L4. s(s2-14) b. L4. (25-32)2

A: we have to find       L-1{16s(s2-14)}   we can re-write the function 16s(s2-14) =1614( -1s +ss2-14 )…

Q: Find the first derivative, show all your work i(x)=2^{-0.8x+35.032}

A:

Q: Referring to Figure 11, suppose that F. ds = 37, F. ds = 77 Use Green's Theorem to determine the…

A:

Q: Help Homer design a cylindrical silo to hold the output from his pet pig Harry Plopper. The silo…

A:

Q: Given L f(x) dx = 16 and i g(x) dx = 8, Evaluate the following I [2f(x) - 3g(x)] dx

A: Given query is to find the value of the indicated integral.

Q: Find an equation of the plane. The plane through the origin and the points (2, -3, 5) and (5, 3, 1)

A:

Q: around the boundary of the parallelogram in the following figure (note the orientation (X9.Y), (2.0,…

A:

Q: Find the limits of integration ly, uy, Ix, ux, Iz, uz (some of which will involve variables a, y, z)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: L (21 +x+3)dx

A:

Q: Find the constants a and b such that the function is continuous on the entire real line. x 5

A:

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

A:

Q: dy Solve the derivative dx for the function: x = e'sint ; y = etcost

A:

Q: Sketch a single graph of a function f which satisfies all of the following sign charts for f, f',…

A: We need to draw graph.

Q: Evaluate the line integral (6x + 8y)dx + (3x – 3y)dy along the curve C: x = 4 cos t, y = 8 sint…

A:

Q: Find V × (V × F) if F(x, y, z) = 9xyj+2xyz k. V x (V × F)

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p…

A:

Q: Find div F and curl F if F(x, Y, z) = x°i – 4j + yzk. div F= curl F=

A:

Q: al)= gi+ sk vio)= 5), ro) 0

A:

Q: Evaluate the definite integral. (9ti + 3+j + Vik) dt 9ti + 3tj tk dt

A: Topic = Integration

Q: 20. Evaluate dædy by changing the limits of integration appropriately. e y/2

A:

Q: Find the area bounded by the graphs of 1, y= and X=1 (Ao the right)

A: Find your answer below

Q: f(b) - fla)

A: We have to choose the correct option from the given options according to the given information

Q: Find these derivatives

A: Our Aim is to find the derivative of the following functions given below:-(i) y=e2x cos (x)(ii) y=ln…

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

A:

Q: Consider the piecewise-defined function Jr+3, |1- x, x 0. (a) FUNCTION, so it must pass the…

A:

Q: - In (e) - In7 Inlt 1. IN7(€ "-1) 2. In( e") 3.In(녹선) 4. In(글e) 1/-

A:

Q: work shoWN. 1. Let v and w denote nonzero vectors. Show that the vector v- aw is orthogonal to w V.…

A:

Q: [2.xyy' – y² +, Vy* +x* ; 4– %3D

A: ∫x2+a2 dx = xx2+a22+a22lnx+x2+a2+C

Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

A:

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

A:

Q: Evaluate the iterated integral. IT (10 + 2x2 + oy?) dx dy

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 2° , y = 0, and z = 5,…

A: We have to find the volume of the solid.

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

A:

Q: Evaluate the indefinite integral: .3 dx x² – 2x + 5

A:

Q: Find dy/de y=(1 +Sin 94)6

A:

Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

A: Given :r(t)=6costi+6sintj

Q: Apply the Ratio Test to each series to determine whether the series converges, or state that the…

A: