p(x) = (-2x)f(x), q(x)= f(g(x)), r(x)= 31 Use the table to find the derivative values. f(x) %3D

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: d 는Gx+ 13)7 +C)= (x + 13)° dx

A:

Q: geč (5)

A: I used trigonometric functions identities

Q: What is the area of the kite? (2, 2) (-4, –2)(6, - 2) (2, - 6)

A:

Q: 3) yo'ty"-2y=Dxe"* %3D

A: Given that y"'+y"-2y=xe^(-x)

Q: dx (4-2²)° (뿌): O none of these 1/2 11/8

A:

Q: 2. Find the divections..in.w.hic . fCx,y) = X- a.. Increases.ms..rapidly.at. paint.C1). b. Decrenses…

A: Solution: The given function is fx,y=x22+y22    ......(1)

Q: Shade (A U B) ∩ (C-A)'

A:

Q: In(u)

A: We are asked to integrate the given

Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

A:

Q: Q //D² +60³²³ +50²_240) Y=0

A:

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

A:

Q: V3 tan 30 = - 1

A: tan π/6 = 1/3

Q: (12) 1. A (BC) . 2. (13) 1. ~ (CA)/:. ~B (A-B) v (C-D) 2. ~Al.. C (14) 1. Dv~ A 2. 3. ~(A.~B) ~ C…

A: Solution:

Q: det(ABA) is equal to OA. det(A) 1 O B. det(AB) O C. det(B) OD. det(B) 1 OE. 1+ det(B)

A: We find det(ABA-1)

Q: y" "yi g= coshox + sinhɔxi

A:

Q: 5(u-) du 2. 2

A:

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: (d) Find (AB)-' and (BA)-1.

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Q: 1. [-(p A -q)] V -r

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Q: v7} Finel N do 3-2950

A: Steps

Q: 2. Show that 1 2 = (1 - )( - )(? y)

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Q: tan' rdr

A:

Q: is 4= Sinh(2sinhix) shaw Hh at %3D 2 (a)

A:

Q: 3. 3(22+7)-

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Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: Smplty. (주)- (2) 음 2 п п n

A:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

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Q: t + t 걸

A:

Q: ) g)=マーSr -2-Sr g(カー

A: solution

Q: I+1 dr

A:

Q: (p – 1) at p=-3

A: The given expression is (p-1)3 at p=-3

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: Apple Samsung 32 17 14

A:

Q: The value of sec0 from the following figure is 40 41 40 (a) (b) 9. 9 (c) 40 (d)- 9. 41

A: To find: The value of sec θ. Formula used: Pythagorean theorem: h2=p2+b2 here, h is hypotenuse, p is…

Q: a)(2-1)(3-21) b) (2-1)²

A:

Q: y"-ym4x³+6x²

A: We have to solve the differential equation…

Q: Suppose that n(U) = 200, n(A) = 115, n(B) = 125, and n(ANB) = 50. Find n(Aº u B).

A: Given that

Q: ỳ+ (9)3 = 0

A: We have to solve the given differential equation       y" +(y')3 = 0

Q: d) (О. R)(x) — e) (О. R)(-1) 3

A: Given,Qx=7x3+xandRx=6x-7x2then,(Q.R)x=7x3+x6x-7x2=42x4-49x5+6x2-7x3=-49x5+42x4-7x3+6x2