f (t) = 10t6 - 48t5 + 60t4 - 7

Q: Determine  d2y dx2 for y = (4x3 + 8)4.

A:

Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: (f) 2x2 + 2r + 11 dr. J (2x + 3)(x² + 4)'

A:

Q: Find and from: 3. x = V1-t and y = t³ – 3t

A: Since, you have asked multiple question, so as per company guidelines, we will solve the first…

Q: 5t3-3t2 +7t - 3 -dt (t² + 1)²

A: To Find: ∫5t3-3t2+7t-3(t2+1)2 Method of Partial Fraction: Let R(x)=f(x)/g(x) Let x2+ax+bbe a…

Q: Differentiate g(t) = (4t² – 3t + 2)-2 %3D

A: This question is related to differentiation, We will solve it using given information.

Q: Q2. (a) dy = (x + y + 3)² (b) 2xy4 = 4x² + 3y?

A: Given that a)dydx=x+y+32 b)2xydydx=4x2+3y2

Q: fy = √2 – 3x², find d'y dr2

A: Given query is to find the Indicated derivative.

Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

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Q: F(s) = 172S-156 s3-1.2s²-11.8s+2.4

A:

Q: f. S r4 dx J2 xV2-2x2 2.

A:

Q: f(t) = 2 cosh²3t %3D

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

Q: f (t)= 4 0.5t 2.4t 5. -3t*e5+ +3.8t²e24* 3t

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2 2X-) dy tf2 るメー。 2. Y+2

A: We have to solve the given differential equation.

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

A:

Q: y = (t² – 2)². a²y = t2 dx²

A: Derivative Question

Q: 2.) f(t)= 8t' + 3t² – e²Sin7t %3D

A: Given: ft=8t3+3t2-e2 sin7t To Find: Laplace transform

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: d2y/dx2, where y = 4x3/2

A: Given- y=4x32 To Find- d2ydx2 Identity Used- The power rule of derivative ddxxn=nxn-1

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: z = 9 – x² for x 2 0 on the x axis

A:

Q: (D³ - 3D2 + 9D + 13)y = 0

A:

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: d2/dt2 (t3 + 2t2 - t)

A:

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

A:

Q: Find fI(a) f(t)= 2t3+t

A:

Q: 4. f(t) = 13t* – 9e-5t %3D

A:

Q: F Find · LV² [V² hpxp (₂h + x)us ha

A:

Q: f(x) = 3x4 − 18x3 + x − 7 what is the concave upward ?

A:

Q: QR %3D S 36 + 2x 'R 8x - 6

A: Given: A polygon whose all sides are equal. So, QR=RS

Q: (D² + 3D – 4)y(x) = 12e2x

A:

Q: t5 -5at³+2ßt2 f (t) 2t2

A:

Q: 2 D²y+y=secx²

A:

Q: d²y if 2x²-3y²=7 dx2

A: Differentiating both sides of the equation. 23x2-32ydydx=06x2-6ydydx=06ydydx=6x2dydx=x2y . . . . . .…

Q: flt) z (34 -1)° (t²+ 2+ + 4 )

A:

Q: = f(t) = t6 — 4t² +5 -

A:

Q: (D² – 8D + 16)y = 4e¬v2t, y(0) = -1, y'(0) = 3;

A:

Q: d4y Q4\ b) Find : Y=3X³-4X²+7X+10 dx4

A: Given: Y=3x3-4x2+7x+10

Q: f(t) = t² – 3t + 5 Ans. 5s2 – 3s + 2

A: As per our guidelines we are supposed to solve only first question. Kindly repost other question as…

Q: t3 - 1-2vt f(t) 3D -t5

A: on doing differentiation with respect to t we will get

Q: y" — y' — 6y = t²e³t — 4t², y(0) = 0, y' (0) = -1

A:

Q: t² + 4t +4 3t +6 t-2 t² – 5t +6

A:

Q: f(t) = 2t2 + 4t – 3 4+2s-3s? А. 4+4s-3s? С. s3 s3 2+2s-3s2 В. 2+4s-3s2 D. s3 s3

A:

Q: d. x+ 2y + 3z = 9,3x + 2y +z = 7.

A: As there are multiple questions, we will do only first question mentioned by you. System of…

Q: The position of an object at any time is given by s(t)=3t4-40t3+126t2-9.When is the object moving to…

A: The position of an object at any time is given by s(t)=3t4-40t3+126t2-9. Find, (I) When is the…

Q: (d) 6z – 9 – z² < 0 (e) 3t2 + 21t + 30 2 5t² – 20

A:

Q: 3. Find y" y = vx² – 4 -

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

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

A: