Find the derivatives of the ff by applying the theorems 1) f(x) = 4x² + x + 1 2) g(x). 3/2 + 5/4 3) g(x) = (x³-6x) (2-4x³)

Q: Find the exact location of all the relative and absolute extrem h(t) = 60t³ + 90t with domain [-2,…

A:

Q: IV. Evaluate the following: a) A pen manufacturing company produces blue and black pens only. If…

A: This is question of calculus here percentage is given we have to find quantity of manufacturing.…

Q: Show all work for each question. 1. Find the intercepts of the function. a. f(x)=x²+2x-15 b. y =…

A:

Q: For the function shown in the graph, give the interval(s) where the rate of change of f(x) with…

A: Here we have to find the interval where the rate of change of f(x) is positive.

Q: Find x' for x(t) defined implicitly by x +tx+t* -8= 0 and then evaluate x' at the point (-2,2). x' =…

A:

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Introduction: Two different functions can be combined using mathematical operations such as…

Q: Let X and Y be points in R³. Let P be a point on the line segment joining X and Y such that the…

A:

Q: 5. (x5 + 3y)dx - xdy = 0

A: To solve the following differential equation. x5+3y dx-x dy=0

Q: 5 -4 -3 -2 C b 4c = < 4 3 2 1 -2 -3 1 2 4 Find the components of the vector 4c based on the vector…

A:

Q: 2.1) [.. 0 X (x² + 2)² dx; 2.2) So 1 x¹/2 d.x

A:

Q: = |9x|,  y = x2 − 10 please find the area

A: Given curves:- y=9x,y=x2-10

Q: Let f(x) = lim f(x) 3 2x + 12 if x > -4 Calculate the following limits. Enter "DNE" if the limit…

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A:

Q: If g(x) = 2 - x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 –…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Given the following parameters of a right circular cone, Find the height: (Answer: not a whole…

A:

Q: Each of the equal sides of an isosceles triangle has a constant length of 20 cm. If the angle…

A:

Q: Solve the following: 1. y'=√x+y+I 2. 2xy + y³e-2 = 2xy. (Bernoulli) 3. (x-y)y' = x+y, y(1) = 1. 4.…

A:

Q: Determine the derivative of the function L(x) = Answer L'(x) = In(2x) x² + 4 Key

A:

Q: Each of the equal sides of an isosceles triangle has a constant length of 20 cm. If the angle…

A: Follow the procedure given below.

Q: Assume that the function G(x) is measured in blips and x is measured in toots. What units would…

A: here we have to assume that G(x) is measured in blips and x is measured in  toots  take the first…

Q: Let 3x3-y3 = 2. What is the value of dx/dt if dy/dt = -2 when x = 1?

A: To find the derivative of x with respect to t.

Q: 10. S x² + 8x - 3 x³ + 3x² 2 dx

A: To evaluate the following integral. ∫x2+8x-3x3+3x2

Q: Solve the following problems completely. Show your graphical and analytical solutions. Express your…

A:

Q: (x(t) Find a plane containing the line y(t) z(t) Question Help: Video = = = -8+ t -8 - 7t and…

A:

Q: Given p = -2i- j and ģ= -7i - 8j, find Ip+gl and pl + Igl. Give EXACT answers. You do NOT have to…

A:

Q: $1,000 invested at 7% compounded annually after a period of 11 years

A: Given $1,000 invested at 7% compounded annually after a period of 11 years

Q: f(x) - √x² - 4, x ≤ 0 1 - 2x², x > 0 (b) f(0) (a) f(-2) (c) f(1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the differential equation dekp² + c where k>0 and c20. In Section 3.1 we saw that in the…

A: The given differential equation is: dPdt=kP1+c, k&gt;0, c&gt;0 Initial condition P0=10, P6=20

Q: Use the following graph of f(x) on the right to answer Evaluate lim f(x) x-11 Evaluate lim f(x) X-3-…

A:

Q: 5 -4 -3 -2 -1 -1 -2 -3 -4 1 2 3 u+v=< U Find the components of the addition of the two vectors u and…

A: Topic = Vector

Q: Determine the derivative of the function f(x) = ln(x45). Answer f'(x) =

A: f(x)=lnx45

Q: Find the equations of the tangent and normal to the curve y² =2−x when x= graphical solution using…

A:

Q: Use the graph of y=f(x) to graph the function g(x) = -f(x) +1. y = f(x) Ay 04 Choose the correct…

A: Graph of the function y=fx is given, we have to sketch the graph of the function gx=-fx+1.

Q: y = |9x|,  y = x2 − 10 Find the area

A: This is a problem related to area calculation using integration. Please follow the procedure given…

Q: Find the critical points of y=(16-2x)(30-2x)x in an interval [0,8]

A:

Q: Solve the equation for 0 ≤ 0 < 2π. Show all work.. cos -√2 cos 0 = 2 cos sin + cos

A:

Q: Which of the following matrices are invertible? (Select all of them.) 0 0 (88). (13). (8 5). The 3 x…

A: Find the matrices which are invertible.

Q: Let f(x) = 2 lim f(x)= 24+ -3x+2 3x + 15 if > -4 Calculate the following limits. Enter "DNE" if the…

A:

Q: State the average rate of change for the situation. Be sure to include units. The temperature rose…

A:

Q: 4. (D² - 4D + 4)y = e²x

A:

Q: Find the point(s) on the curve of y = x²+1 where the tangent line is horizontal.

A: Please see the below answer.

Q: Assume that x = x(t) and y = y(t). Find dx 1 using the following information. x² + y² = 1.13; d = -2…

A:

Q: An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=81²…

A:

Q: = FB 2. How are adding vectors and subtracting vectors similar and/or different? Use diagrams to…

A:

Q: The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to ∞.) y 4…

A: The given graph is:   To find at what value(s) of x does f have a local maximum?

Q: Your family likes to eat fruit, but because of budget constraints, you spend only $5 each week on…

A:

Q: Assume that the function G(x) is measured in blips and x is measured in fonks. What units would…

A: Given :Assume that the function G(x) is measured in blips and x is measured in fonks

Q: A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially held…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: The differential solution to cx²y-(x + y²) = 0 is a. y' = y(x+2y²) x(x- y²) c. y' = (-x-2y²) b. y' =…

A: