MN || OP in O0 mMQ = 2(mNP) Given: Prove: M. 2.

Q: do part b

A: Step 1:  Step 2:

Q: Evaluate: a In(x + y) e-y. dy dx

A:

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: Giveni SP bisects <RSV meRST =2x+3y のTSV= 3xーシ+2 m2RSV =8D find: x and

A:

Q: dx 9) Which is equal to ? 1+e* A. x+ inh + e*|+C x-mh + * + C C. iml + *" -x+C D. Inh -e*|-x+C В. х…

A: solution is given below

Q: Sodve the e doll ouing egua on with suist Operaton where fox)= (112)g® and h=1 49 fCM) = ?

A:

Q: Sind goßas S.gus and Dgof cs)

A: Given that  f(x)=√(x-1) g(x)=x^2+1 To find gof(x),fog(x)

Q: p[rz 23] If X is a N(2,3), find PY2 where Y+1-X.

A:

Q: 5.Use trapezoidal rule to evaluate f,(x² + 1)7 dx by taking n = 4.

A:

Q: Use the definition or existing results given by the textbook to compute the following Fourier…

A: As per instructions we are allowed to answer only one question. Fourier Transform: Let us consider a…

Q: 2- Let x-x-8 = 0. Use secant method to find ₂ from the initial iterations o = 1 and ₁ = 2. 5) d)…

A:

Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Given: Hnx=-1nex2dndxne-x2 x∈ℝ, n∈ℕ0 This is a Hermite polynomial function. hnx=Hnxe-x22 To…

Q: Which is always TRUE when AABC-AXYZ? m<A = m/Z O Option 1 Option 2 m/B = m/X

A: The solution is given in the next step.

Q: 6. Given : 23 24, RT ST 3. Prove: HR ES 2. R

A:

Q: The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean…

A: Note: Thank you for the question. Since multiple question with multiple sub parts are posted,…

Q: Find D (x") where m, n E N. Distinguish between the cases where m>n; m = n; and m<n,

A: To distinguish between the given cases :-

Q: I. Use the composite midpocht rulo to approximate. 2 a) Sendox - For all 4 b) (3x ² √ x² +1 dx thuce…

A: Let h=b−an then the mid point rule is given by ∫abf(x)=h∑i=0nf(xi).Here, xi=xi−1+xi+12 is the mid…

Q: Given [[(a² – x² – y² ) dxdy over the positive quadrant of the circle x² +y? = a² . Find the value…

A: We are given the Integration: ∫rs∫pqa2-x2-y212dx dy Over the positive quadrant of circle: x2+y2=a2…

Q: 12 Deter mine the hunchon fbc) 13 conhintdeus at loe Birked 1S Pes) Conhinaus at oc =0?

A:

Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

A:

Q: P+ZX Calculate

A:

Q: 5. Prove that if x, y ER, then x + y ≤ x + y. Use the following cases: (i.) x, y ≥ 0, (ii.) x, y <…

A: We now prove that if x,y ∈ ℝ , then x+ y≤ x+y with the help of given three cases.

Q: A. В 1 x a n

A: From ven diagram we can get answer easily

Q: Use Taylor's Theorem with n = 2 to approximate √1+x, x>-1.

A:

Q: 1f itwas x25ect, yatunt prove Thut dy

A: Simple derivative

Q: dy Q3) Find dx for 3(x? + y?)2 = 100xy %3D

A: The given equation is 3x2+y22=100xy.

Q: 225g If p = f(q) = then what is the marginal revenue for q = 31? q+4

A: The marginal revenue can be calculated by the derivative of the total revenue with respect to…

Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

A: We have to evaluate the triple integral ∭E z dV where E is the region containing the set of points…

Q: Solve the differendial egmation : %3D

A:

Q: (c) s²+1 s(S-1)³

A: We do the partial fractions first and then find the inverse laplace transform. The detailed solution…

Q: If y = 3" . In æ, what is O = +3" (In 3)(In æ) dy + 3" (In 3)(In z) dr 뿌=프- 3" (In 3)(In æ) || ||

A:

Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

A:

Q: the following dineor sytam of linear matiz faderiation lwe egs using 2x. + X4

A: