Find the equation of the lime passes through (2,3) and // ar ] to the lan 2X-6Y=5 I

Q: 7 Find the li foc.y)=3=

A: f(x,y)=3xe^(-xy/3) f(x,y)=3xe^(-xy/3)  given (x0,y0)=(2,0) linear approximation…

Q: 1) Linearize: 3x arourd 天=l %3D

A:

Q: 7. fox)=x-x-2 fix) = R²+2x3 %3D

A:

Q: Show that x +2 and oe) = *+6

A:

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: Find ||uLy|| in Figure u= (3, 5) = (8, 2) P. FIGURE

A: v=(8,2) u=(3,5) uv=?

Q: FCX)={x-3)? C12

A:

Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

Q: 2x-2y+1 5) y' = x-y

A:

Q: 7. If RT = 5x – 14 and US = 2x + 10, find VT. R T

A: We are given a rectangle RSTU in which diagonal RT = 5x - 14 and US = 2x + 10. V is the point of…

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: y = In(4x² + 1)

A:

Q: Suppose Cov(X,Y) = 590. What is Cov(1.7X, 3.1Y)?

A: The objective of this question is to find the covariance of the two variables 1.7X and 3.1Y given…

Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

A:

Q: Qil If y , Show that y=2x- 2y3

A:

Q: 9) If y = 3x +x² - 5 and z = x2 - 12, find 2(y +z).

A:

Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

A:

Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: use the jacobi method to ding approximate solution for x+6y-8z=-6.6 10x-3y+6z=8.6 x+15y-9z=0.8

A: Given x+6y-8z=-6.6           10x-3y+6z=8.6            x+15y-92=0.8 To find: The solution of system…

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: f) = Vx?+4x+4 9=3 Find (f") (@)

A:

Q: Solve the IVP y" – 8y' + 25y = 0; y(0) = 2, y'(0) = 2

A:

Q: Explain the conditions for the origin a node of the system x' = Ax?

A: The system of the first order differential equations x'=Ax is homogeneous and the matrix A is an n×n…

Q: Find b∈R so that ∫C4x^2dy − 2xydx = 53, where C is the segment from (1, −5) to (−2, −3), followed…

A:

Q: Differentiate: y =V4r-6z4 Oy = (12- – 24z) /(4z² – 6z*)² Oy (42-8z") (4x3 – 6z*)² Oy= 12z 24z (4z²…

A:

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: 5) y = V V+ V? + Væ

A: The function: y=x+x2+x

Q: If i = xi+yi+zk then grad (r") is equal to

A:

Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Suppose Cov(X,Y) = 590. What is Cov(1.7X, 3.1Y)?

A: The objective of this question is to find the covariance of the two variables 1.7X and 3.1Y given…

Q: use implici't differen tiatiom to brind dyldu at the pont (2,2) = 1+y" エ+Scu

A:

Q: 1. 2 2 + u- 3re + 2y-2= Sal +A4+32 = 4 22310 %3D y- 22こ1 2) e + 24-32ニ-) 3nl-y t22こ子 sae f 34-42 = 2…

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