Find the interval in which the function is positive. f(x) = x2 - 7x + 10 %3D I. (- , 2) II. (2, 5) II. (5, O ,II OIl only II, II 8. 8.

Q: Differentiate. f (t) = 2/t - 3t3

A:

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

A:

Q: 2. (a) Define what it means by for y = f(x). %3D

A:

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

A:

Q: Integrate

A:

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: 2x -9 9. Find +4x+13 dx.

A: Given:     ∫2x-9x2+4x+13dx            write  2x-9 as 2x+4-13 and split…

Q: Differentiate the function. 2w2 – 6w + 4 P(w) =

A:

Q: T= tan (x+2y+ 3Z) %3D Find: Txx XX Tx Txy Ty Tyy Tyx Tz Tzz Tzx T zy

A:

Q: Let y = (3x²-2)* (4x + 3)7. %3D Find y'.

A:

Q: y = ex + 8 + 7

A: y=ex+8+7

Q: Differentiate the function. h(x) 4 xS - 4x3 + 1)8 5, x5 – 4x³ + h'(x) = %3!

A: We will use chain rule to solve this problem;