IT 5. h(x)=cos x+ 2 n(x) -(х-3)* +4 6. 7. W (x)=e**2 –3 x+2 8. f(y)=(y-1) +2

Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for a longel…

A: Given that You are buying a car. Would you prefer a higher rate for a lower term or a lower rate for…

Q: 1) The distance, travelled by a car, f(x), in meters, after x hours, can be represented by f(x + 20,…

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

Q: When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I…

A:

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

A:

Q: Use properties of the linear transformation T(x, y) = (3x − 2y, x + y) to determine if the matrix…

A:

Q: give 3 simple and basic derivatives examples of product rule with solution. see the photo for…

A: To give 3 simple and basic derivatives examples of product rule with solution. Consider,…

Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

A:

Q: Find f'(x) and simplify. f(x)= x x+2 Which of the following shows the correct application of the…

A: F′(x)=(x+2)22​Explanation:If you have any questions let me know in comment box thankyou for your…

Q: The cross product of two vectors in R³ is defined by Let 7 b₁ 「azbs - asb2 = [FB] x 102 asbr - abs…

A:

Q: There is a streetlight every 120 feet between the library and the post office. There is a…

A: There is a streetlight every  feet between the library and the post office.There is a streetlight in…

Q: Ql:- Find the domain of the following functions a) S(x) = sin"*(2 – 3x) b) f(x) = sec"*(x – 2)

A: we have to find domain

Q: lim

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: For f(x) = {2-cosxx find /(-2) + f(0).

A:

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

A:

Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

A:

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

A:

Q: If x = e*-Y then is equal to A) B) log z (1+log z)* C)

A: solution:-xy=ex-ytake log both sideslnxy=lnex-yylnx=x-ydifferentiate both sides w.r.t…

Q: If u(x) = x3, then du = 3x2.

A:

Q: • Find f(22) (0), for f(0) = 2 cos(30), using pattern recognition. (Don't take 22 derivatives!) What…

A: The given function is fθ=2cos3θ.

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.