Let u = (2, – 4) and v =(-4,2). Find the component form and magnitude (length) of the vector 2u - 3v.

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: x(/x+y) +у) — 8 — ху

A:

Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b + x)+ 59.

A: Given that: y2=a(b-x)(b+x)+59

Q: dx Evaluate 4+x² ° x dx 4+ x2 Evaluate 88

A: Given that: ∫-∞∞dx4+x2∫0∞xdx4+x2

Q: cotxdx + ysin?xdy = 0 %3D

A: Using variable separable method.

Q: 1. cos x |? ecosx sin xdx

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

Q: 3. Solve the differential equation by variable separable method (1+ y") (3a² + 6) dy 9- dr 13 + 6r

A: dydx=91+y23x2+6x3+6x  

Q: 5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

A:

Q: Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that ...

A: It can be solved using simple differentiation and limits.

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. 10 b) f(x)= ...

A: Given that: f(x)=10(x-1)(x2+9)

Q: Choose the correct graph of F(x) = 2 sin (2x+ t): 1 27 37 -1 -2

A:

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

A:

Q: y'dx-(sy + y* }ky = 0 1. Let the substitution y=2; y=vx; dy=vdx + xdv

A:

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average...

A:

Q: y'dx- (gy + y* }ty = 0 1. Let the substitution v=2; y= vx; dy=vdx + xdv

A: We have to find solution of given differential equation.

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

A:

Q: В D A

A: Topic = Triangles

Q: f (t) = 3 (t + 1) H (t – 1) |

A: Solution ) f ( t ) = 3 ( t  + 1 ) H ( t - 1 ) Formula  [ L g(t) H ( t - a ) = e-asL{ g( t + a ) } a ...

Q: An employment research company estimates that the value of a recent MBA graduate to an accounting co...

A:

Q: Find two of the vertical asymptotes of y = tan( 2x - -).

A: We have to find the two vertical asymptotes of y=tan2x-π3.

Q: Find the laplace transform using integral transformation

A: Given that: 1. ∫0∞e(-s-7)tdt2. ∫0∞4e-st.sin(6t)dt3. ∫0∞t2e(-s+3)tdt

Q: Find the area (sq. units) covered by the line y = -Gx+ 3) from x1 = -8 to x2 = 0.

A:

Q: Solve the following Linear Equations 1. x+7=11 2. n-3= 10 3. y+8=4 4. 8y = 48 5. 1- -4 6. 15 =4 7. -...

A:

Q: cosh(2.r) - 1 6. (a) Show that sinh (r) %3D 2

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

A:

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, , 5x -2y' 2. The functio...

A:

Q: 0.2 0.4 0.6 0.8 1.0 (sec) s (ft) 0. 0.5 1.5 4.0 6.4 9.6 (a) Find the average velocity over the inter...

A: Given that:                          

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ?...

A: Given:  What is the differential equation of the family of lines whose sum of the intercepts is fixe...

Q: d.x Evaluate V3 – x dx Evaluate 3

A: Given that: ∫23dx3-x∫09dxx-13

Q: x*dy + (2.xy – y² }tx = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A:

Q: 2 dx

A: Solve by integral given this integral

Q: The demand function for a company's product is p 24e-0.99 where g is measured in thousands of units ...

A: Given: p=24e-0.9q  

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function f(x...

A:

Q: Find the average value of f (x) = cos^2 (x) on the interval [0, π]

A: Given that: f(x)=cos2x       on the interval [0, π]

Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

A:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: 9. Use the Intermediate value theorem to show that f (x) = 2x³ – 3 has a zero in the interval [1,2]....

A: Given that: f(x)=2x3-3 in the interval [1, 2]

Q: 1.Determine if the following statements are mathematical or not. Provide solution. a. Today is MMW c...

A: We know a mathematical statement is either true or false .

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4 Respective...

A: Given:   To determine: The domains of both functions

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: 7. Solve for x: 48 = 6e4x b. log (x?) + 3log (x) log (32) а.

A: Given : a) 48=6e4x   b) log(x2) +3logx=log32

Q: 3. The function (x, y)= 8r-/4x +3y is homogenous in x and y of degree 2х 4. The function (x,y)= (x' ...

A: Here ,                We have given some of functions f(x,y) which are homogeneous in x,y so we have...

Q: Which of the following trigonometric equations meets the criteria given? A = -2, period = 4, phase s...

A:

Q: 124 Х 209

A:

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

A:

Q: ()- 2y on [–10, 15]. Determine the absolute extrema of f (y) = sin

A: Here we have to find the absolute extrema.

Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b...

A: