If j(x) = ax² - 5 and j(2) = 19, what is the value of a? %3D %3D (A) -3 (B) 2 (C) 3 (D) 6

Q: (-3 V3 + 2)(-V3x + 1) LA) 9VI +2 B) -3 V30x + 2 C) 9Vx - 3V3 - 2V3x + 2 D) -8rV3 - 12/3x 4V125 4) 4…

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Q: The population of the world is given approximately by f(t) = 7.38e0.0119t billion people, where t is…

A: Use the help of derivative and solve the problem.

Q: The population of a certain province in year 2000 was 2.7 million. Its population grew to 3.3…

A: Solution:- The solution is given below,                    step-by-step solution, The population of…

Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: (d) (x– 2)* + (y-9)* =1 (e) x² + y² = 1 (f) x² +(y+5)° = = 25

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Q: 1.What is the third derivative of y = 2x5 – 2x4 + 5x3 + 6? 2x – 2x + 5x? 40a O A. " = - O B. " 24x +…

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Q: 3 dp- V1-4х 1– 4x

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Q: Determine L-1{F(s)} 2s+1 sF(s) + 3F(s) s2+2s+1

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Q: n: y" – 9y = 0; e3x; e-3x

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Q: The f e²x +e-2x e2x-e-2x dx is -2x1 {A}={In 2x te e e2x-e-2x + C 2x {B} In|e²x −e-²x | + C {C} -2…

A: To solve the given integral using substitution.

Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

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Q: 1.5-5-2y=e 3x 3De

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Q: What is the general solution of Xy(xy- 1)dx + x²(1+xy)dy=D0? A 4x3y +3x2= Cy 2x y³-3x2= Cx? 2x°y5 -…

A: Option (c) is right Solution...

Q: 2 dw V11+10w-w² O -0.1353 O -0.13520 O -0.1352 O -0.1351

A:

Q: .3) Use the exponential method to find the FM for the system: y' [4-2 01 <=0 4 -2 y 0 4] LO

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find the General Solution: y" - 3y' + 2y =e*

A:

Q: The sum of E(-1)*1 . is equal to (1/2) 3 n=1 5" F TO

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: E (X² + Y²) E (XY)

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Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

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Q: If y=x* - 5x² + 2x – 3 then equals dx A x* - 5x² + 2 В 4x – 10x+ 2x – 34 4x - 10x+ 2x D 4x - 10x+ 2…

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Q: y" + 4y' + 3y = 15 e^2x + e^-x

A: Given differential equation is: y''+4y'+3y=15e2x+e-x Solution of differential equation is sum of…

Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

A:

Q: e) xy+ y² = 1 f) x2/3 + y y²/3 = 1 g) x3 + y4 = 16

A:

Q: 1) e - 3 s2 -7 2) -la 2 (s – 3)5 7s 3) C-1 s2+4

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: 7) y'+ ky = e 9) xy' – 2y = x'e* 13) y'+xy = xy -1

A: Explanation of the solution is given below....

Q: у" +2y' + у %3 6 (t - 1) + e2t у (0) %3 0, у' (0) —0

A: The general form of a second-order nonhomogenous linear differential equation is given by…

Q: a) z=-x² + y² c) z² = x² + 2y² e) x² + y²-z² = 1 b) z=-x²-2y² d) -x² - y² + z² = 1

A: match the following quadratic surfaces with the following equations (a) z=-x2+y2

Q: d³x d2x dx -2- =0 dt dr3 dr?

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Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: (xy+ 2)* - 3x+e" =e C.

A: Part 18CGiven,           xy+22-3x+e-y=e-x

Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

A:

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: (ii) (2 – t4)4 dt *xª – 5x³ + 6x² – 18 dr g3 – 3x² (iii)

A: 2)

Q: S(x)=-2x+8x S(3) = %3D S(-1) =

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Q: (d) Find E(Yk) - Y(k-1)), 2 <k<n.

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Q: 1. y" + 4y' + 4y = e-2x %3D x2

A: We find the complementary solution Yc and Particular integral Yp The complete solution is sum of Yc…

Q: Table 1 mpc = 0.75 = 3 c = 0.05 G = 1.45 d = 0.3 T=1.6 X = 0.15 NX = 1

A: Given See the handwritten solution

Q: 7. The second derivative of y = e3* + e4* is + 4e4x b. 9e3x + 16e4* а. 6e3x + 8e4x d. 9e9x + e16% C.

A: The given function is: y=e3x+e4x

Q: y =-x² +2x+7 y =-2x +2 → Solution(s): %3D S y = x + 2x –3 %3D y= 2x+1 %3D → Solution(s):

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Q: -2x X-e -2x x+e * 2(x-e-2*) A -2x xp- x²+e¯ -2(x-e-2*) B x²+e =² -2x -2x e dx -2x x²+e-2r x²+e=2« D…

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Q: e3x-y+z (e*)³e² ey True False

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Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: correct answer Q20

A:

Q: In the Lotka-Volterra predator-prey model, the number of foxes and rabbits in a park depend on each…

A: The implicit equation for the predator-prey model is -0.002R+0.4 ln(R) -0.01F +4 ln(F) =21.4.…

Q: So Ve Pollowing the D.E 3X 3y' = e - \2 X +39

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Q: 19) If y- find the value of yl.3y. 3' A) 3. C) 1 B) 0 D) 3

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Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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Q: Find the derivatives of the given functions. (Part D and E)

A: d)  We will need the quotient rule. For that assume u and v and find u' and v'

Q: b) E(-1)"+1 Vñ Inn n-1

A: The given series is: ∑n=1∞nln n which is an alternating series with bn=(-1)n+1nln n, n≥1

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.