y =,

Q: 4 y = 3e* +

A: Given function is  y=3ex+4x3=3ex+4x-13

Q: Differentiate the function.

A:

Q: Consider the following functions: f(x) = 4 – x², g(x) = 7x + 2 and f + g ()(-1). X-4 h(x) = Evaluate…

A:

Q: Differentiate the function.

A:

Q: y5 + 2y = x² a. b. 5x – 4y? = + 9x?

A: a. y5+2y=x2b. 5x-4y2=xy+9x2

Q: Suppose f(x) = loga(x) and f(3) = 2. Find f(27).

A:

Q: a. a Yes or No (circle one) Explain: 8. Domain Range b. {(2,-1).(-7,5).(3,6),(-4,5),(0,9)} Yes or No…

A: Given,  Relation in part (a) and (b) We have to identify as function and to find domain and range .…

Q: g(h) = -h + 5h - 1; g(4) %3D

A:

Q: 20. Evaluate the function. 3. x - 8, ifx 1

A:

Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

A:

Q: 18 20) w(x) = -x + x²; Find w(2) 5 -

A: Given the function :

Q: 25. j(x) = x²4 + e24

A: We have to differentiate the given function.

Q: 19 21. h(u) = Au³ + Bu² + Cu

A: we have given a function h (u).  We have to find the derivative of h with respect to u.

Q: r(t) = (6 - 2t)i + (2t − 9)j + (9 + t)k A) T T = -3i+j+ ¹ k C) T = ²i-i-1 k B) T = -3i+j+ ¹ k D) T =…

A:

Q: Differentiate the function

A: The given function g(t) to be differentiated is,