Find the derivative of the function. log4|(3x²-2x) 5/21

Q: 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2+3* = 4* has a…

A: Question No. (3):To prove the following statement using the Intermediate Value Theorem (IVT):  has a…

Q: 94. Can you have a finite absolute maximum for y = ax²+bx+c over (-∞, ∞o)? Explain why or why not…

A: The quadratic function standard equation is

Q: Find the indicated derivative. dy ax for y=x® |ě

A: we need to find out the derivative of the given function.

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A:

Q: Find the linear g(x) z approximation of the function given below at a = 0. g(x) = √1+x

A:

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: Order is the highest power of the derivative Degree is the power on the highest power of the…

Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

A:

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

A:

Q: If y xy + x² + 1, then when x = 01/1/12 0 - 12/1/20 O nonexistent O -1 O-2 -1 dy d = ? dx

A: we need to find out the derivative of the function at the given value of x.

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Given that the vertical asymptotes are  and x intercepts are  and horizontal asymptote is

Q: y = (cos 7x)x

A: y=(cos⁡7x)x

Q: H.W/ Maximize QuiZ 1/ 2= 80×1+ 60 X ₂ X₁ + X₂ 15 100. subj to: + X₂ 15 150 X₁ + 10X₂ If Boo الاحدا

A:

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: Consider the parametric curve

Q: 1. Solve dy 3-x-y dx x + y

A:

Q: Consider the following. f(x) = √√49 - x² Find the critical numbers. (Enter your answers as a…

A:

Q: 3 + +++ -2 -3 -4 The graph above shows the base of an object. Compute the exact value of the volume…

A:

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(5x…

A:

Q: Knowing that sin(0.65) is about 0.6, find cos(0.65). What relationship between sin(0.65) and…

A: sin(0.65) = 0.6

Q: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2. This means the…

A: The odds on (i.e. odds against) TripleTreat winning the Kentucky Derby are 7 to 2.

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

A:

Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

A:

Q: 2. D8: I can compute derivatives using multiple rules in combination. D9: I can compute derivatives…

A: a) d(cosxy)/dxb) cos(xy)=sin(lny)

Q: Find the inflection points of thefunction f(x) = e(79-x²). INTERMEDIATE WORK f'(x) = f"(x) = On what…

A:

Q: find the derivative  y=4x^2

A:

Q: Question 6 Calculate the resultant of the forces shown in the concurrent force system. 6N 40% 30N…

A:

Q: Describe verbally the transformations that can be used to obtain the graph of g from the graph of f.…

A: we are given two functions, we need to write down the transformation that f(x) should undergo in…

Q: For y = f(x) = 7x², find f(x₁+AX)-f(x₁) Ax || f(x₁ +Ax) -f(x₁) Ax given x₁ = 5 and Ax=2.

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The equation of the curve is given byTo determine: The slope of the tangent line to the given curve…

Q: Use the definition of e, and numerical approximations as h approaches 0 from the left, and h…

A: Use the definition of e, and numerical approximation as h approaches 0 from the left and h…

Q: Find the indicated derivative. for y=x¹5 58 11

A:

Q: Differentiate the function. f(x) = √√In x f'(x) =

A: Given

Q: The following integral is an improper integral. ( Explain why it is improper, (b) determine whether…

A:

Q: Let f(x, y) = x sin(x + y) (a) Calculate the directional derivative of f at the point (1,-1) in the…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: Consider the series Sum of a geometric series

Q: 9. Locate all relative maxima, relative minima, and saddle points of the fol- lowing function f(x,…

A: The given function is

Q: Use the tangent line to the curve  x7 + y2  =  x + y  at the point (1, 1) to approximate the…

A:

Q: Consider the function F(x, y) = xy2 + 2xy-6y2-8x-12 y + 54. (a) Find the critical points, where Fx…

A:

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ''(x)(x − b)dx a

A:

Q: Use the graph to find the following limits and function value. a. lim f(x) X→2 b. lim f(x) X→2* c.…

A: In this question, we will find the limit by using the graph.

Q: Find the interval containing x = 0 where f(x) = 81x - tan(x) is increasing. Write your answer as an…

A:

Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

A:

Q: The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical…

A: In this question, we will solve the all parts.

Q: There is also a critical point on the y-axis. (e) Enter its y-coordinate. Number (f) Enter the…

A:

Q: If x² + xy = 10, then when x = 32 0 - 17/12 0-2 0 2/1/201 01/1/201 dy =? 2, dx

A:

Q: - Consider the function ƒ(x) = x² − 4x + 2 on the interval [0, 4].

A: f(x)=x2−4x+2 on the interval [0,4]

Q: inld4u trated 1. T1: I can apply mathematical definitions. 8\II out frowemdit coin 11 auber a ora ea…

A: Limx-infinity (lnx+x)/(x+3)

Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

A: