5. Find the equation that gives the FT of x,(t) * x,(t) * x,(t) where x,(t) is the rectangular pulse in the usual notation (i.e., height A, duration t), and * refers to convolution.

Q: n Ix]a Ex Sxt] Lb ee calcalate the expuliond faz s in Dimear geggelkion hion ee and. b. analys

A: Given,  the linear regression analysis matrix equationn∑X∑X∑X2ab=∑Y∑XYWe need to calculate the…

Q: Evaluate the followingintegrals.∫(z+1)√(3z+2)dz

A:

Q: 8. What is the rate of change of the edge length s of a cube Vith respe ds С. ds D. dV 1 ds В. dv…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the d. c. of T from definition.

A:

Q: Suppose a certain population of bats can be modeled by the DE 3 y = ry? (1 M - y(0) In(7) where r =…

A: concept: If solution curve is y = f(x), then for point of inflection double derivative of given…

Q: 6.5.4 Find the PDF of W = X + Y when X and Y have the joint PDF fx,x(z,y) • otherwise.

A: Given: The joint probability density function of the random variables X and Y is provided as:…

Q: H.W. Find y at x = 2.8 for the data in table :- 4 Yi 2 3.5 2.3 188 2.

A:

Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: Given f(x, y) : 5x? + 5y2, evalue the following to at least 4 decimal places. fz( – 3, 1) =

A:

Q: is equal to sec (2x) + In|sec(2x)|+ C sec (2x) – In|sec(2x)| + C the above the above Gsec (2x) –…

A:

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: Consider the figure below. uestion 1 T. 2x W Зх - 5 Previous

A: Given TW= 2x, 3x-5

Q: 2) H. GN H G'N H' %3D in HUG b. (GUHY %3D e

A:

Q: Q#9) find the clamped cubic spline that interpolates the data ( 1,-1), (3,22), ƒ'(1) = 0, ƒ'(3) = 24

A: Given data is 1,−1, 3,22, f'1=0 and f'3=24. We have to find the clamped cubic spline the…

Q: O Find the Salution of the fllowinng Inlayrudien (x-2x++x -5) dk use

A:

Q: 3. How would you classify AG? A J G

A:

Q: (a) Suppose x E Q with x # 0 and y E R – Q. Show that their product ry is irrational.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q4/is that, the Sulutton to the differentiel equation dy-tX+4. is it's

A:

Q: 10.Show that Φ(t) = Ψ(t)Ψ−1(t0), where Φ(t) and Ψ(t) are as defined in this section.

A:

Q: What are the conditions on A, B and C for an ODE of the form Ay'' + By' + Cy = 0 to have solutions…

A:

Q: 2. A firm produces two goods in pure ompetition & has the pllowing TR & TC functions R= 15Q…

A: In this question, concept of optimization is applied. Optimization Mathematical optimization is the…

Q: (10) Without finding T and N, write a(t) in the forma(t) = a-T + ayÑ at t= r(t) =

A:

Q: Assume w = ts³, 4ts) and (x,y) = 6xy of (х.у) - 4х Find as when t = s = 1 %3D

A: Given: From the given expression it is clear that 'f' is a function of 'x' and 'y', and 'x' and 'y'…

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: HiW f(x, y) = x +2xy+y² +3x+5y ils Is.5 of (2,-3) (2,-3) al of

A: The detailed solution is as follows below:

Q: Suppose that a) b) f(x, y) = [15x²y; 0<x<y<1 0; otherwise. Compute E(X | y), Var(X) and Var(Y).…

A:

Q: Find k so that dx = ke" + C.

A:

Q: If z =e* + In(xy) Evaluate- ,and ,at the point (1, 2). Hence, calculate the change in z when x…

A:

Q: y'= 2. Ty- dExouine the ad unigeness exiDtnce ot the Jolution of the,equotion sotistying the grn=2…

A:

Q: If X is an exponential r.v. with parameter 5, identify the r.v. 10X

A: Introduction: The random variable X has an exponential probability distribution with parameter, λ =…

Q: 6. Write.a.Ct).in. the farm..aaT.T+ a. N. a..r(t).=(tcost). .+ (tsint.) j.+t ..to.

A:

Q: Evaluate Sm e" dæ. • 2 does not exist (diverges)

A:

Q: 23. If exy = 3, then what is Y at the point (1, In3)? dx -In3 3ln3 In3 -4In3

A: Given:- exy = 3 To find:- dy/dx at point (1,ln3)

Q: f(z) =e? is contiuous in C

A:

Q: 3ey , find Given z = dz dz au

A:

Q: Consider the S.mpto lincar rogressic 3:0n m adol Y tX; t U ukon exp(az.) You have the fallow. ng…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: by

A:

Q: 21. |'t cosh t dt Jo

A: Note:- These are multiple question and according to our company guideline we can do maximum one…

Q: 2. Consider the model: Y, =0.2Y+e,+0.4e. Find the autocorrelation function p, for k=1,2,3.

A: We are required to find autocorrelation function(acf) of an ARMA model.

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: terms HK K . J 12 in

A:

Q: 4.18 Given that g(x) > 0 has the property that 6. show that is a pdf. f(x, y) 2g g(x) dx = 1, (√x² +…

A:

Q: 4 In GL(2,Z13), det 1 4

A: We have to find the determinant using GL(2,Z13) That is, instead of usual addition and…

Q: The linear approximation to fix) = E at x = 8 is given by O a. 2 - x Ob. 2 Od. 12

A: Given: f(x)= x3 Linear approximation of a function fx is given by the formula  y=fa+f'ax-a

Q: f(z) = e? is contiuous in C

A:

Q: In GL(2, Z,,). det

A:

Q: 2. Use a theorem to find the ff. Zx if yz? + z = 5xy – 1.

A: Find out the zx when function is given as yz2+z=5xy-1 or yz2+z-5xy+1=0

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: Suppose that a) b) f(x, y) = [15x²y; 0<x<y<l 0; 0; otherwise. Compute E(X|y), Var(X) and Var(Y).…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.