Use  f(x) = 4x − 5  and  g(x) = 6 − x2  to evaluate the expression. (a)    f(g(0)) =   (b)    g(f(0)) =

Q: What is the Order of the equation? O 1 O 2 O 2/3 Оз What is the DEGREE of the equation?

A: Follow the procedure given below.

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pol...

A:

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

A:

Q: Find the slope of the tangent line to the curve

A: Follow the procedure given below.

Q: The radius and height of a right cylinder are measured at 2.9m and 1.6m respectively with a maximum ...

A:

Q: 5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

A: Given:- Differential equation (3x2-2x) dx+(x3ey-siny)dy=0 To Find:- The given D.E is Exact because ∂...

Q: |S sin(x)e²= dæ = } sin(x)e2 – S e2= cos(x)dæ. S*A):de converges. 1. - 2. |Assume that {an}n20 and {...

A:

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

A:

Q: Find the value of 6dx x2 + 1 1 Determine whether 6 n² + 1 n=1 is a convergent series. Enter C if ser...

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

Q: 6s 3 3. L-1 s2 + 25 s2 + 25

A:

Q: Pharmaceutical firms invest significant money in testing any new medication After the drug is approv...

A: Given that: Percentage of physicians, P(t)=100(1-e-0.42t)

Q: 1. (3x°y + 4xy' + 6}dx + (x + 6x°y° -1}dy=

A:

Q: Evaluate the following functions. 1. lim x² • cos x 4

A:

Q: x + 3 The partial fraction decomposition of x3 + 4x2 can be written in the form of f(x), 9(x) h(x) w...

A: Solution of given question is written in below steps.

Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

A:

Q: dx 7. (3 – 5x)*

A:

Q: 1+2x (b) g(x) = 3-x

A: The given function is: g(x)=1+2x3-x To find its derivative using the limit definition which is: f'(x...

Q: A manufacturer can produce 4590 cell phones when z dollars is spent on labor and y dollars is spent ...

A:

Q: 4. The differential equation (3.y-4y' +6)dx+(x' – 6x?y' -1)dy = 0is exact because %3D aN

A:

Q: 4. S sin xdx 5+cos?x dy 5. S 15+4y-4y2

A:

Q: [ cos(z² + y°) dydz

A: Follow the procedure given below.

Q: Learning Goals: Graph quadratic tion. Use the graph of a parabola to obtain the represented quadrati...

A: Topic:- geometry  Note:- as per our guideline if more than three subparts posted than only first thr...

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23.

A: Let the given number be x

Q: Consider the graph of y = f(x), shown below. 4

A: Given that: Graph of f(x)

Q: Find the vector equation for the line of intersection of the planes 5x + 2y – 5z = 2 and 5x + 4z = 4...

A:

Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

A:

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

A:

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A:

Q: Sketch the region that corresponds to the given inequalities. 4x + Зу s 4 4x - 3y 2 4 -y 2 2 y y 10 ...

A: Given problem :- Sketch the region that corresponds to the given inequalities. 4x + 3y≤ 4 4x - 3y ≥4...

Q: Previous Problem Problem List Next Problem (1 point) Find the slope of the tangent to the curve y" a...

A:

Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

A:

Q: Determine whether or not the angle between the two vectors below is the right angle. You need to wri...

A:

Q: An+1 Use the ratio n to determine if the sequence is strictly increasing or strictly decreasing. 2n ...

A:

Q: Explain the difference between a function f(x) being continuous at the point x=a and the limit exist...

A:  We need to find the difference between function is continuous at x=a and limit exists at x=a

Q: 3. lim (x-8) ギーー7

A:

Q: 1. Let R be the region in the first quadrant bounded by the curves x = y² +2 and x = 3y. Set up inte...

A:

Q: 4444AAAAL te =2 +2 =6 +2-X +2=6

A: Given query is to find lines are parallel or not.

Q: 7. y = x², y = 6x – 2x²

A:

Q: Find an equation for line that passes through point p(8,6) and perpendicular to v=2i+3j

A:

Q: Determine the value of the literal numbers in the given matrix equality. X-5 x+y X-z y+z 9 -7 x+t y-...

A: The order of given matrix is not same, 3*2 and 2*2

Q: The given function is not one-to-one. 9(x) = (x- 3)2 y 10 -10 -5 10 -5 -10 Restrict its domain so th...

A:

Q: Evaluate the following functions. 1. lim x2 • coS X X 4.

A: Our Aim is to evaluate the function given below:-limx→π4x2. cos (x) -(i)

Q: y = (r2 – 7r)e" y' =

A: We have to find derivative

Q: A merchant can sell 60 items per day when he charges $1.60 for that item. He has observed that for e...

A: NOTE: Refresh your page if you can't see any equations. . A merchant can sell 60 items per day when ...

Q: h (x)= 3

A:

Q: Find the point, P, at which the line intersects the plane. x = - 2+ 2t, y = - 3+ 8t, z= - 10 + 4t; 7...

A:

Q: 3n Find the equation of the tangent lines to the curve y = sin x at x = - T, 0, and 2 Graph the curv...

A:

Q: The integral expression 2x sec(5x) tan (5x) dx can be evaluated using integration by parts of the fo...

A:

Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: c/sechudu= tan -' Csinho) +c C.

A: To prove:- ∫ sechu du =tan-1(sinhu) +C