1.Add the following displacements by the component method. 8.0 ft directed 45º northeast, 12.0ft directed south, and 20.0 ft directed 45º South of West.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Maximize f(x, y) = √11-x² - y² Constraint: x+y=2=0 )

A:

Q: 5.) Use linear approximation to estimate f(0.1, −0.9) x² sin x In(y² + 1) Y f(x, y) = of th + x+1…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the approximate…

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: 6. Write down the partial differential equations for; (a) Diffusion equation (b) Wave equation,…

A: Diffusion equation identical to heat equation  Wave and Diffusion equation contains partial…

Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: f(x) = log5 (2x + 1).

A:

Q: 7-8e2x lim x→→∞ 12e²x+28

A: To find the limit.

Q: Differentiate O y = arctan √3x

A: In this question we have to find the differentiation of y.

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A:

Q: 2. Suppose that the position of a particle is r(t) = (cos(nt), ² sin(nt), t), 0≤t≤ 2n. A. Calculate…

A: Understanding of derivative while finding velocity and acceleration from position vector is…

Q: - NASA launches a rocket at t 0 seconds. Its height, in meters above sea-level, as a function of…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: A function is given. g(x) = 7 +  1 2x;    x = 1, x = 7   (a) Determine the net change between the…

A: Given the function gx=7+12x , x=1, x=7

Q: How to work out the break-even???

A:

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Exercise 14. Determ (a) f(x)=x" (b) f(x) = ln x 1 7-x (c) f(x) =

A: a.fx=xnDnax+bn=n!an…

Q: Evaluate the iterated integral below. π 1 4 S*S'y cos (x) dy dx Só 0

A:

Q: Use the if f₁ (t) F, (w) properties of Fourier transform eat alt) JF.T = = f flt) e jwt -00 -at ejwt…

A:

Q: The following are differential equations except A y" - 2cosx=5 B C D dy x+y dx x-y y" - 2y +5=0…

A: We can find the equation which is not a differential equation as below.

Q: The angle between 0 and 360° that is coterminal with - 119° is

A: To find out the coterminal angle of -119 degrees.

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) -5…

A: Understanding of logarithmic function is required to understand this problem.

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: A jwb (b-a) [ube job A سلم) ] (b-a) e + wa a (ولم _4 ou - وسلام

A:

Q: Take xlt) then x (10) = X => x/w) = Ś j'₁. é just dt = x(w) == 1 ζω X/W) = Lx -jwt -jw jw -jw 1 -…

A:

Q: Using an appropriate substitution, the integral Jez-tan is equal to 2-tan sec²0 de O none of the…

A:

Q: Consider the following differential equation to be solved by the method of undetermined…

A: Given: The characteristics equation is m2+2=0. So,                m2+2=0⇒m=±2i So, the general…

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

A:

Q: Find the solution of the given initial value problem. 3y"" +27y810y = 0; y(0) = 11, y'(0) = 57,…

A:

Q: In order to evaluate the following integral 1 cos-¹(√x) dx we first use the substitution W = √x,…

A:

Q: (jw)²x1w) = 21 A (b-a) sin (bw) - sin(aw)

A:

Q: -4 -2 y 18- 16- 14 12 10- 8 6 y2 2 yl X

A:

Q: A linear function is given. s(w) = −0.2w − 8 (a) Sketch the graph.   (b) Find the slope of the…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by -8

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: For the next three exercises, evaluate the integral (without using tables). f 1 4r dr √1-4 2 dt gint…

A:

Q: The particular solution of y(x+y) dx + (x + 2y − 1) dy=0; y(0) = 2 by NEDE is A B C D x(x+y=1)=4e-x…

A:

Q: 2. S (2x-5)dx x2-5x+3

A:

Q: The general solution of xdy-ydx = x²e³dx is (Α) y+x² +cx=0 (В x+ye-cx=0 Ⓒ D yamcx=0 x-ye+cx=0

A:

Q: -u (w) = 3/w + πT (1) jw [{Br_mn]}x+(®on+m]x] } 2²2 ↑ 5

A:

Q: 1. Given r(t) = <In(cost), -1, 2 $₁ 2 A a) Find the length of the curve for r(t) at 0<t< R|4 b) Find…

A:

Q: NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of…

A: Please see the below picture for detailed solution.

Q: se the if f₁(t) properties of Fourier transform ē at ult) = (w) = JF.T -=S² f(t) ējwt dt -0 -jut =…

A:

Q: Verify Green's Theorem for: f4y³dx-2x²dy where C, oriented anti-clockwise, is composed of the…

A: To find the integral ∮C4y3dx-2x2dy where C is the positively oriented closed curve x2+y2=9, y≥0 and…

Q: Evaluate the iterated integral below. 1 S. * S'y cos 0 0 y cos (x) dy dx

A: Given, ∫0π4∫01y cos(x)dy dx

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: The area of the sector of a circle with radius 16 feet formed by a central angle of 95 is feet.…

A:

Q: critical points

A:

Q: True or False? All prime numbers are positive integers. True False

A:

Q: In order to evaluate the following integral :-√2+√7 COS-¹ (v cos-¹(√x) dx we first use the…

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: