G- tanx) ydx + Inlexy cos x| dy = 0

Q: Consider the matrix -3 4-( 7² ) - Now, assuming that we know -(s). and the vector ba +0 is a…

A:

Q: 44. Express as a single logarithm and simplify: In(x10)-In(y20)

A:

Q: Find the general solution?

A: The characteristic equation for the given second order ordinary differential equation is:

Q: Dx+Dy= ムxy43t Dx-Dy =-2x+2y %3D

A:

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: Write the following sums and products explicitly without using sum/product notations.

A: 1. ∑k=0n2k+1xk =

Q: dN + N = Ntet+2 dt

A:

Q: 2. Using the same approach as was employed to derive the regression equations, derive the least-…

A: Given: x 2 4 6 7 10 11 14 17 20 y 4 5 6 5 8 8 6 9 12 To find: Graphical representation.

Q: Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) Now re-parametrize…

A: Given Data: Let us consider the given curve with parametrization given by, rt =-4 cost ,4 sint , 8t…

Q: The length of the box is 6 inches less than the width and the height is 2 inches less than the…

A: We need to find dimensions and graph.

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: x² +y F(x,y)=- x- y - is a homogeneous function of degree

A: Topic= Function Degree =1

Q: Find the general solution of the differential equation y" + (wo)²y = cos(wt), w² ‡ (wo) ².

A: We have given a second order non-homogeneous linear differential equation with constant coefficient…

Q: UESTION 7: ne discrete random variable X has the following probability distribution function. X 0 1…

A: Solution

Q: There is a medical test for a virus. The test is 95% accurate (i.e., it indicates positive 95% of…

A: Given that: Probability that the test is accurate = 0.95 Probability that a person has the virus =…

Q: (D³ – 4D)y = 0 is ® y = (C, +C,x)e* + C;e** + C,e** ° y = C, + C,x + C;e * o y = C, +C,e²* + C;e²*…

A:

Q: x² + y² F(x, y) =- - is a homogeneous function of degree

A: For finding degree of homogeneous function, Put x=hx and y=hy

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: -(1 + 4xy– 4x²y)dx + (x2 – x³ )dy = 0; when x 2, y = %3D %3D

A: Homogenous linear differential equation: dydx+p(x)y=q(x) Here p(x), q(x) are functions of x. Find…

Q: a+4a-5)2 (a2-4a+3) 4. Evaluate: lim ; Ans. 0 a-1 sinx sin2x 5. Evaluate: lim ; Ans. 4 1-cosx

A: We have to find the given limits according to the given

Q: 3. (4D +4D2 + D)y = 0. 7. (4D3 - 3D+ 1)y = 0.

A:

Q: y" - 4y' =t+ 3cost + e -2t

A:

Q: 6y' = y*sinx У (0) — 1

A:

Q: where is the step by step solution?

A: The sample size n is 20, the sample mean is 12.8 and the sample standard deviation is 2.