s(b)-s(a) If s (t) represents the position of an object at time t, what does the expression represent? 6-a It is the instantaneous velocity over the time interval [a,b] O the change in position of the object over the time interval [a,b] the average position of the object over the time interval [a,b] O the average velocity over the time interval [a,b]

Q: dy 1+y+1

A:

Q: 5. у 6. уд 4+ y - 8x /y =x y- + 2| x= 3 4 3- = x i 2 3 2. 2. 4. 3. 2.

A: Note:- As per your demand we solve question 5 and 6 for you  Given problems:- use the method of…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 7, -5) Vw(13, 7, -5) =

A:

Q: Find the relative maximam/minimum values of the fuction てキX Stak where the Function S increasing of…

A: For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then…

Q: 2. Use the fundamental theorem of calculus part 2 to compute the integral 1° dr. 0,

A:

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

A:

Q: 12. f(a) = 2x" -x -3 12. f(x)- x+1 1-1 if x50 13. f(x)3= %D 4x if x>0 14. f(x)= x-1

A:

Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of…

A: Given: A(3,-3,5)  B(5,-5,2)C(-1,-4,2)D(4,1,-8)

Q: Differentiate the following. Simplify your answer completely. Write your answer without negative…

A: topic - derivatives

Q: 4y?-25 dy 3. y f

A:

Q: Find the area of the triangle with vertices P(1,5, –2), Q(0,0,0) and R(3,5, 1). NOTE: Enter the…

A: To find the area of the triangle with vertices P1, 5, -2, Q0, 0, 0 and R3, 5, 1.

Q: Find the 2 possible pairs of polar coordinates for the following rectangular coordinates. а) (-5, 0)…

A:

Q: Evaluate the integral of e**+1 2xdx.

A: Given: I = ∫ex2+12xdx                                  ...........1 Formula: ∫eydy = ey+C

Q: 30. | (Зи — 2)(и + 1) du

A:

Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION.) S 3x² -…

A: topic - linear equations in two variables

Q: 3 dx extle) Vx+4 V x+4

A: Explained below

Q: DiFferentiate Hthe function Inx Fx)=InZ+3, X70

A:

Q: ons and their graphs are given. Find the intersection points of the graphs by solv _2 + y = 7 x - 2y…

A:

Q: (1.5)+(-2.3)+(-0.3)+(1.2) + (1,9)? Simplify o= (a) State the answer in square root form and (b)…

A: Given query is to simplify the expression.

Q: Find Duf at P. 3 f (x, y) = sin(7x – 5y); P(5,7); u 4 - NOTE: Enter the exact answer. Duf

A:

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

A:

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from the…

A:

Q: Integrate the differential equation in which A is being made at a rate k1and destroyed…

A:

Q: Applications of Integral calculus 3. The following curves bounds a certain area: y = 4x – x2

A: Area bounded by a curve y=f(x) on [a,b] is given by, A= ∫abydx

Q: 2-9 dv

A:

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: Consider the following problem. Find the distance traveled in 15 seconds by an object traveling at a…

A: answer is in next step

Q: 2 (In x dx

A:

Q: Determine an equation of the form Ax t t Cz + D=O By for the plane that contains the line (x,y,2)=…

A:

Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

Q: dy J 1+y+1

A:

Q: Evaluate the sum. 30 E(5j + 4)° j=1 (Give your answer as a whole or exact number.) 30 Esj + 4)° =…

A:

Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: 2.

A:

Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes. Draw the graph

A: Given query is to find the area bounded by the line.

Q: c. f(x) = (-1 if x 0 %3D

A: We need to find possible points of discontinuity.

Q: 7. [Geogebra Question] Let's use Geogebra to find the area of the region enclosed by the graphs of…

A:

Q: Integrate nos. 1 1. f sin sin dx

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4) Vf(1, 4) =

A:

Q: a) A small metal bar, whose initial temperature was 10° C, is dropped into a large container of…

A:

Q: Simplify arctan + arctan . O 0° 45° 90°

A:

Q: Determine whether the improper integral (3- is convergent or divergent.

A: The given integral,       ∫1∞3-2x-32dx

Q: A culture initially has 700 number of bacteria. At 1=5 hour the number of bacteria is measured to be…

A: The differential equation that describes the given model can be solved by using the variable…

Q: Evaluate/Find the following integrals. 2 1. SxV4x – x¯dx

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: 8) Find a power series representation and determine the interval of convergence for 2 f(x) = 3 – x

A:

Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

Q: Evaluate/Find the following integrals. 2 1. ſxV4x – x'dx -

A:

Q: Find the directional derivative of f(x, y, z) : 4y at P(3,1, –2) x + z in the direction from P to…

A:

Q: Find the total area of the shaded regions. y=x√(36+x^2)

A: