h T

Q: 4-8 Differentiate 4. g(x) = (x + Vx)e* x2 – 2 8. G(x) 2x + 1

A:

Q: 9. Find an equation for a function f(x) that satisfies the following characteristics. • f(x) is CTS ...

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection and the cosine of t...

A:

Q: Convert the point from rectangular coordinates to spherical coordinates. (9, 9, 7/5) (p, 0, p) = (

A:

Q: Use the Laplace transform to solve the system d²x, d?y dt? dt? d²x d?y = 4t dt2 dt? x(0) = 8 x'(0) =...

A:

Q: Refer to the graph of y = f(x) to the right to describe the behavior of lim f(x). %3D x -1+ Use - 00...

A: The given graph is 

Q: ex+2e-1 X-3 a. lim f(x)= a= b. lim cos(h+1)+1. f(0)= 13 Y y-1/3 y c. lim fy)=

A:

Q: y = -2 In x, for 2sxs3 The integral that gives the arc length of the curve is, L = JO dk. dx.

A:

Q: x² -1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: 4. y = ce + c,xe*

A:

Q: Problems a-d. For a given function of y(x) = c, sin x + c2 cos x, solve arbitrary constants that wil...

A:

Q: You would like to have $950,000 when you retire in 40 years. How much should you invest each quarter...

A:

Q: u = (7, 0, 8), v = (4,-5, -3) %3D (a) Find the projection of u onto v. (b) Find the vector component...

A:

Q: Convert the point from rectangular coordinates to spherical coordinates. (6, 6, 3/7) (p, 8, 4) = (

A:

Q: Find the DE of each of the following by eliminating the arbitrary constants. 1.) c2y2 = x(x-1)3 2....

A:

Q: Evaluate the integral. cos-1(x) d.

A: We have to evaluate I=∫cos-1(x)dx

Q: If f(x) = x³ and g(x) = x + 4, then g(f(x)) is equal to ... %3D %3D O (x+ 4)3 x + 4 O x'(x+4 x +43

A: The solution is given in the next step.

Q: a) Convert point Q(2,37/4,-5) from cylindrical coordinates system to Cartesian coordinates system. b...

A: the question is taken from the  vector calculus in which we have to deal with the covert point into ...

Q: If 1, log,x, log,y, -15 log z are in A. P. then prove that (i)z = x (ii)x = y (iii)y %3D %3D

A: Given: 1,logzy, logxz are in A.P  To prove that  iz3=xiix=y-1iiiy=1z3

Q: Dividing the polynomial P (x) by x - 4 yields a quotient Q (x) and a remainder of 2. If Q (-4)=-6, f...

A:

Q: A diver jumps from a 3-m springboard with an initial vertical velocity of 6.8 m/s. Her height, h, in...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Find the standard form of the equation of the circle having the following properties: Center at the ...

A:

Q: Show that d(y,u)/dv = (1– v²/c)3? for y, = 1//1- v²/c?. %3D

A: Given: γv = 1/1 - v2/c2

Q: If y = a(x+ Vx? +1) +b(x - vx² -1) ,prove that If y= a(x + v (x² -1) dy +X -n°y =0. dx2 dx

A:

Q: 5 14) f(x) = (2х - 3)4 40

A: Given,             fx=52x-34

Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2 + y2...

A: The equation in rectangular coordinate is given by x2+y2+z2-3z = 0                                  ...

Q: 1. %3D X sin y - y cos x = C

A: We differentiate the equation and get:

Q: Juan bought 14 chicken wings for $22.40. If Juan spent $12.80, how many chicken wings did he buy?

A:

Q: Consider the following functions. f(x) = 5x + 5; g(x) = 3x2 + 3 %3D %3D

A:

Q: Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all ...

A:

Q: J (X) -5 9.25 -4 8.03 |-3 7.05 |-2 7.01 -1 1.02

A:

Q: Describe in words the level surfaces of g(x, y, z) = e-(x²+(y-1)'+z²). Think what the intersections ...

A:

Q: * Find the intergration: dy

A:

Q: Evaluate the limit: -5x -35 lim x-7 x2 + 13x + 42

A:

Q: If 1, log,x, log,y, -15 log z are in A. P. then prove that (i)z² = x (ii)x = y 1 (iii)y %3D %3D 3

A:

Q: Approximate to 3 decimal place accuracy

A: Maclaurin series can be given as below : take

Q: Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex a...

A: The ellipse has its center at the origin with focus at (0,4) and vertex at (0,7)

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: 300- Use the graph of f to determine where a) f(x) > 0 and b) f(x) < 0. -5 -300- -LO

A:

Q: FIND THE ORTHOGONAL TRAJECTORIES OF THE CURVES Y =Cx²,WHERE CIS AN ARBITRARY CONSTANT.

A: Given  y = C x2  where C is an arbitrary constant. We have to find the orthogonal trajectories of th...

Q: Use the definition of the derivative to prove that (vx +1) = tangent to the graph of y = vx + 1 at x...

A:

Q: Find the Laplace transform of each of the following functions (a) -4t f(t) = 5+e-3+ +te¬4!

A: Topic :- Laplace transform As per our guidelines , Only one question will be answered at a time.

Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and ...

A: We have to arrange the zeros according to instructions and then have to solve it.

Q: y= f(x) 5+-- 2 0 1 3 4 5. 7 8. Enter each answer as a whole number (like -4, 0, or 253) or DNE for u...

A: GIVEN: Graph is given of f(x)

Q: You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you...

A:

Q: In Section 5.1, the rate of change in the concentration of a drug was modeled as r(x) =1.707(0.846*)...

A:

Q: nine which of the functions are the solutions of the different b. y= x -x c.y= V -x y =x d.

A:

Q: flx)= 3x +8 (-9,-6, Fl)=b

A:

Q: Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and ...

A:

Q: Consider the points A(3, −1, 10), B(−1, 4, 1), C(5, −2, −1), and D(1, 1, 1)  (a) Determine the volu...

A: