Find the coefficients of the partial fractions expansion. 6x4 12x³ + 115x2 - 211x + 284 (x-4) (x² + 16) ² A - 4 X - + Bx + C x² + 16 + Dx + E (x² + 16)²

Q: dr secx+1

A: Given integral ∫dxsecx+1. The objective is to evaluate the integral. First simplify the equation…

Q: H G M MP ||

A: As we can see from the image, the side MP is parallel to the side GH.

Q: F (2, 12)

A: Given that  F( 2 ,12) It is the F statistic with the df1 = 2  and df2 = 12 df1 = Degrees of freedom…

Q: 30 Find x. A D 18

A: Using phythagoras theorem  (Hypotenuse)² = (base)² + (perpendicular)²

Q: An acute angle, 8, is in a right triangle such that sin 8. 10 10 5 6 1 What is the value of cot 8?

A: The acute angle θ is in right angle triangle such that:sinθ=56

Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: Let A = [-2  6]              [2   8] Find 3A.  3A =

A:

Q: | 8 - 3s | = 9/2

A: To solve: |8-3s|=92 Solution: |8-3s|=92 On simplifying further we get: |8-3s|=92⇒8-3s=±92…

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

Q: What is 1/3+3/4

A: 13+34 is addition of two fraction numberwe take cross multiplicationab+cd=ad+bcbd13+34 =1*4+3*33*4…

Q: 2+x2 x³dx 4. S (a²+x2)2

A: We have to integrate.

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

A:

Q: z = b +, for a + 9 = . a

A:

Q: e* 5 e 2X 3=0 %3D

A:

Q: Solve det[A] + det[B] when [2 + i 3 A = -6 2il [6i B = l2i i

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 2C + 4D = [|

A: Given that : To find 2 C + 4 D:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: -6 (0 Find A-' if A 2 -4 -3 10

A:

Q: [4x 4xe³dx = + C

A: B=∫4xe3xdx∫xndx=xn+1n+1+c∫eaxdx=eaxa+c∫(a.b)dx=a∫bdx-∫(d dx(a)×∫bdx)dx

Q: Find uxv

A: Given: u=-12;    v=31Note: if u=(A)2×1 ,…

Q: 3 =+ 5 3 1 6

A: Given, 12+1335+16

Q: 60° 7. Find the value of y. 9/3 y A 3/2 C 6. 9.

A:

Q: z - 8 j, k, 64y3 + 125 I. -60x² +315x - 75

A:

Q: b. 15 – 2x| > 7

A: The given inequality, 5-2x>7

Q: 2. If a b= (a+b)^2 and a @b = (a - b)^2, then what is the value of (4*3) @ (3*4)? Select an answer A…

A: The problem provides two operations, * and @, which are defined as follows:a*b=(a+b))2a@b=(a-b))2We…

Q: The value X1.1 -2 x1 + - X1 + x2 + 7 x3 = -6 4x1 — Х2 — Хз %3D 3 6 x2 + x3 = 9

A:

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: 1. Find AB. 5

A: Given : A right-angled triangle ∆ABC, ∠A = 45°∠C = 90°AC = 9

Q: 3. |(10w vw) dw Your answer

A:

Q: a2– x2 (x+y)dæ dy

A:

Q: 15. Find mzN. (8x+17) (12x-39)

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

Q: Зу — 1 dv? 4v3 1 レ

A:

Q: 3(x - 4) = 8x + 18 %3D А. X 6 C. X = -6 В. X = D. X = - 1 5

A: Equation as: