1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of change (ARC) of f(x) on the interval 4 < x < 4.1. Do not round computations. B. Find the average rate of change (ARC) of f(x) on the interval 4

Q: xdx Evaluate: 2 - x2

A:

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

A:

Q: Find an equation of the line tangent to y = xinx at the point x = 1.

A:

Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)...

A:

Q: ative of the function using the definition of derivative. 1 x) = 6 + Vx %3D ain of the function. (En...

A: Please refer to the image below

Q: 10 In the diagram, the sphere touches each face of the cube at one point–the center of each face. If...

A: Given that each side of cube,a=5Solution ; According to given diagramradius of spheare,r=a2A reasona...

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

Q: For the vector u = and v= calculate projvu and scalvu

A: projvu = u.vv.vv                 and             scalvu =v.uv

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

Q: Sketch the graph of a function f that is defined on R and continuous exXcept for the stated disconti...

A:

Q: Question 4 dx 1 the integrand is x2 In A) True B False

A:

Q: If g (x) =3x²– 4x+5 ; G(x)=x³ – 2x²+ 5x , then G is the anitiderivative of f . A True False Question...

A: Topic = Integration 1) TRUE 2) FALSE

Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '0' ...

A: Find the limit of the function (8x2-5)/(3x2+x-3) when x tends to ♾️

Q: Verify that u is a solution to the equation ugx + Uyy + u zz = 0. u(x, y, z) = e4z+3y cos(5z)

A: Follow the procedure given below. 

Q: The function f (x) is graphed below. How many points on the graph represent a relative extreme value...

A:

Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: A cylindrical tank standing upright (with one circular base on the ground) has a radius of 24 cm for...

A: Given query is to find the rate of change of height of water in the tank.

Q: Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a con...

A: Here, we have to find the acceleration of the boat. Acceleration is the rate of change of velocity w...

Q: 2. J고dr (e* -1) (e +1)

A:

Q: sin2t costdt A sin2t B cost sin³r

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: 5) a) Use Euler's method with step size 0.2 to estimate y(0.4), where y(x) is the solution of the in...

A:

Q: Draw a graph of a polynomial function with x-intercepts and signs indicated in the chart below. + + ...

A: A function properties are given we have to make a graph for the function

Q: Given the following values f (x) and 2 = e and W = - 1 and A Determine the value of u2. A H2 B) H2 =...

A:

Q: 回+9=X 8=回+回 +億粉+( G-回=1 +A-=

A: We will solve the puzzle by assuming variables for the shapes . 

Q: piane is per hour. Find the rates (In radians per hour) at which the angle of elevation e is changin...

A: Given: An airplane flies at an altitude of y = 6  miles toward a point directly over an observer  Th...

Q: The graph of f(x) is given on the grid. Graph f'(x), its derivative. 05 4 -8 -7/-6 -5 -4 -3 -2 -1 I ...

A:

Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6  

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 192 Chapter 3 Differentiatio 27. Sports A baseball diamond has the shape of a square with sides 90 f...

A: Given query is to find the rate of change of distance.

Q: 1 x²e dx = 1 2. %3D 2T 10- I

A: First we use symmetry of even function then we let x2 /2=u then using laplace transform. 

Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

A: Let's find. 

Q: A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of ...

A:

Q: + 2y 90 sec dy d0 20

A: Follow the procedure given below. 

Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

A:

Q: S(tan 3x – sin? 2x tan 3x)dx

A:

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles wi...

A: This question can be solved using rate of change of quantities.

Q: Use the Product Rule to calculate the derivative for the function h(s) = (s¬2 + 8s) (5 – s-1) at s =...

A:

Q: 8 en Vn! n=0

A: We will check the convergence of the series. 

Q: x* In xdr

A: We are asked to evaluate to integral.

Q: (a) Find the value of k. Is the population increasing or 32. Population The populations P (in thousa...

A: We will find as shown below

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E(- 1)n n ...

A: Given series is ∑n=1∞−1nn2⋅n+2!n!43n. Use ratio test Here, an=−1nn2⋅n+2!n!43n. Now,  limn→∞an+1an=li...

Q: A ladder 25 feet long is leaning agalnst the wall of a house. The base of the ladder is pulled away ...

A:

Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: SLet R be the region in the ay plane boundedd by the curves y=X=8x and y=-6x+3. Set ye, but do not e...

A: We need to evaluate integral for area.

Q: Given the function f(x) = –3x – 3, express the value of +n-12) in simplest -f(x) form.

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if...

A:

Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: source Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Contine...

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla y=num...

Q: 8) Which of the following functions are solutions of the differential equation y" + y = sin x? a) y ...

A: The given differential equation y''+y=sin x