(b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by the equation 2u + 3v Q = 3u² + (u + v)²" If the current levels of input are u = 10 and v 25, use calculus to estimate the change in input v that should be made to offset a decrease of 0.7 unit in input u so that output will be maintained at its current level.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: Reduce to lowest terms: x'+3x++2x+6 x+3

A:

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Find y" from x =t +7, y = 6t -1

A: Answer and explanation is given below

Q: calculate the value of f(-3) for the function f(x)= -4x^2 b) How many roots does the function f(x) =…

A:

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: The standard error of the constant is

A: Given : Standard Error : Standard error of a statistic is the standard deviation (SD) of its…

Q: Differentiate the function y=1lnx.

A: Given function is y=1·lnx We know that any number multiply with 1 gives same number. So, function is…

Q: Transform into standard the funct y=(x-1)^(2)+9

A: Given,  y=(x-1)^(2)+9

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(-3)) B. f(h(7))…

A: I have given the answer in the next step. Hope you understand that

Q: go 6+5sinx)

A:

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: Find the derivitive and show each step f(x) = 5/ (2x-3)^4 y = -6e^12x

A:

Q: ImAB = 1 with A(-1; 2) and B(4; y)

A: Find the value of y

Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

A:

Q: Find the second derivative of the function Y = (3x² – 5)´ A. " = 1082? + 60 B. /" = 1082? – 60 C. "…

A:

Q: Find the fifth derivative of (2x+3)5

A:

Q: Evaluate intergral  (ax)/(x2-bx) where a and b are constants

A: The given integral is ∫axx2-bxdx.

Q: 2/3 Lal(2x²4). (2x+3 3

A: