1- 3x? 3 (1 – z²) 6 (2 – 2²) Given f(x) = f'(x) = and f"(x) = 23 x4 25 (a) Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any. (b) Determine the intervals where f is concave up, concave down, and find the inflection point(s), if any.
Q: Write your answer on a piece of paper and show your solution. TYSM
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...
Q: 2 Determine the tail of the vector 4 whose head is (3, –2, 2).
A: To determine- The tail of the vector 24-1 whose head is 3-22.
Q: 1 2 3 Find the inverse of A = 0 2 3 1 2 4
A: Given: 123023124 We know that, AA-1=I ⇒123023124A-1=100010001 Now by using the row operation, R3=R3-...
Q: a – ° and For what values of a and b are the vectors 4 equal? a +b
A: Given vectors are: a-b2 and 4a+b. To find values of a and b for which vectors are equal. Solution: I...
Q: Write your answer and show your solution on a piece of paper. Thank you
A:
Q: She sells each cake for $22. Find her daily revenue function, R(x), where x is the number of cake or...
A:
Q: Determine the tail of the vector whose head is (1, 2). Make a sketch.
A: Consider the provided vector, 26 Whose head is 1,2. Determine the tail of the given vector.
Q: Prove that a vector space has only one zero vector.
A: Consider identities of V, e1 and e2, respectively. u+e1=u and u+e2=u
Q: Direction: Answer the following question through evaluating each given polynomial function. 1. The ...
A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...
Q: Simplify the rational expression. 2x? - - 5x - 3 10x3 + 5x + 4x + 2 First, list any restricted value...
A: The given expression is 2x2-5x-310x3+5x2+4x+2
Q: Simplify both sides of the following equation as much as possible, and then solve: 6. 4y + 3y %3D 2/...
A:
Q: n 2000, the population of a city was 181,00. The population had dropped to 104300 by 2013, Find a fo...
A: To Determine: Find a formula for the population A(t) of the city t years after 2000 if 1) The city d...
Q: Given Circle K with secants NS and NR, which expression represents PS
A: Concept used: Intersecting Secants theorem: The relation of p,q,r and s is p×q=s×r.
Q: Solve the inequality 2x-4(2x-8) <2-8(x-5). Write the solution in interval notation. O A. (-0,5] B. (...
A: Solve the inequality 2x-42x-8≤2-8x-5. Write the solution in interval notation. -
Q: 4) The school that Matt goes to is selling tickets to a play. On the first day of ticket sales the s...
A:
Q: The park of figures are similar. Find the missing side of length.
A: Given similar triangles
Q: Simplify the rational expression 2x-6x^2/2x
A:
Q: A 1,000 mL solution of acetic acid contains 33 mL of pure acetic acid. Find the percent concentratio...
A:
Q: Using desmos.com or a graphing calculator, answer the following questions. 2) A firework is launched...
A: We have the given function as h(x)=-16x2+150x+3
Q: (ba'b-)3
A: Given information: The expression is ba2b-3-3. Concept used: Exponent rules: 1. Product rule: xa·xb=...
Q: Given the following functions, find each: f(x) = x – 7x + 12 g(a) = x – 4 (f + g)(x) = x² – 6x +8 %3...
A: Use the definition
Q: Evaluate the determinant of the given matrix by cofactor expansion along the indicated row.
A: Given matrix is:
Q: Simplify the fraction. 75
A: The given expression is 45412
Q: Find m f-g (x) and the domain of f(x) = 2x° + 6x² - x - 3, g(x) = - 4x° + 5x - 18x – 12, h(x) = 2x +...
A: Consider the given:
Q: Simplify. Answer should only contain positive exponents. (2a°6?)
A:
Q: (2x-6x^2)/2x
A: Our Aim is to solve the following expression given below:-2x-6x22x -(i)
Q: Use inequality notation to represent the set. y is no more than 42. Use interval notation to repre...
A: Given, y is no more than 42.
Q: 3 Determine whether the vector w = | 10 is a linear combination of the vectors v1 = 0 , v2 = -2 -3 a...
A: Our Aim is to determine whether the vector w=310-1 is a linear combinationof the vectors v1=101, v2=...
Q: Suppose that A and B are diagonalizable matrices. Prove or disprovethat A is similar to B if and onl...
A: Consider A and B are matrices that are diagonalizable. The objective is to prove or disprove that A ...
Q: A iPhone store starts by selling 100 iPhone pre-ordered in week zero and expects to sell an average ...
A:
Q: Show that the vectors ?1 = ( 1, 1, 2, 4 ), ?2 = ( 2, -1, -5, 2 ), ?3 = ( 1, -1, -4, 0 ) and ?4 = (...
A:
Q: For f(x)=-3x-4 evaluate f(n-6)
A: We can solve this problem using function mapping.
Q: A scientist is growing cell cultures and examining the effects of various substances on them as part...
A:
Q: Find the equation of the line using the given information. (4,4) and (4,5) In point slope form I go...
A: Since, we have been given two points (4,4) and (4,5).Equation of line passing through two points is ...
Q: 1 - 6 3 Let a, = -12 and b = - 9 For what value(s) of h is b in the plane spanned by a, and a,? - 1 ...
A: Given that b is in the plane spanned by a1 and a2. To find The value of h.
Q: Hey! The question I'm trying to solve is: Use elimination to solve the following system of equations...
A:
Q: The mix Ricardo plans to use to make brownies says that each brownie will be 190 calories, and 76 ca...
A:
Q: 2.4 Find the value of x in the matrix below if the determinant has a value of 9 [6]A = (−1 −26 x)
A: First will calculate the determinant of the given Matrix and then equate it to 9 to find x.
Q: please answer question 2 and 3 thank you.
A: 2. From the given data Cost of renting a car of Running on empty company is C=40d Cost of renting a...
Q: Find a 3 x 1 matrix x with entries not all zero such that 1 2 -1 Ax = 1x, where A 1 1 4 -4
A: A=1 2-11 0 14-4 5 Now let x=abc be the required matrix. Now consider, Ax=1x⇒1 2-11 0 14-4 5a...
Q: Which graph represents the function p(x)= x-1
A:
Q: Solve the quadratic equation by completing the square. x2+4x=21
A:
Q: Divide and round to the nearest hundredth. 1,450 ÷ 0.75
A: To Divide and round to the nearest hundredth. 1,450 ÷ 0.75
Q: 1 The sum of two numbers is 12. The difference between the two numbers is 18. Part A Write a system ...
A: Explanation of the solution is given below...
Q: I need help with is Graphing Quadratic Functions
A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts...
Q: Which expression is equivalent to (x³y=2)4 for all values of x and y where the expression is defined...
A: Given: The expression is x3y-24. Concept used: xnm=xm×n Calculation: The expression that is equivale...
Q: Please help, thank you so much.
A: Given, 2x2+4x-12
Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).
A: Given, 3x-2y+7=0 .....12y+4x-3=0 .....2
Q: Group A has the larger range. Why? The box plots show the distribution of times spent shopping by tw...
A: Definition used- Median -It is the average value from a set of data and is shown by the l...
Q: The area, A, in square feet, of a rectangular storage bin in a warehouse is given by the function A(...
A: Given data; The given expression for the area of the rectangular storage bin is A(x)=-2x2+36x. The x...
Step by step
Solved in 6 steps
- f(x)=2x^3+3x^2-12x find the critical numbers of (if any), (b)find the open interval(s) on which the function is increasing ordecreasing, (c) apply the First Derivative Test to identify allrelative extremaA cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 16cm by 30cm by cutting equal squares from the four corners and turning up the sides. State the formula for the volume of a rectangular prism (aka box). Express the volume formula as a function of x. What is the domain of V? Find the derivative of V(x) with respect to x. Find the function values at the critical number/s and at the endpoints. What is the largest possible volume of the box? What is the length of the side of the cut-out square that will make the box which has the largest possible volume?f(x)=(x+6)/x^2 find critical numbers? find open intervals on which the function is increasing or decreasing in interval notation? apply the first derivative test to indentify all relative extrema?
- Let f(x) be a differentiable function with first and second derivatives given by:f'(x)=(6x+2)e-3x^2-2x+3f"(x)= (-36x^2-24x+2)e-3x^2-2x+3a) Find the intervals where f(x) is increasing and the intervals where f(x) is decreasing.b) Find the x-values of the local maxima and local minima for f(x).c) Find the intervals where f(x) is concave up and the intervals where f(x) is concave downd) Find the x-values of the inflection points for f(x)f(x)=x^3*ln(x), x>0 a) determine the intervals on which f(x) is concave up and concave down b) based on your answer in part a), determine the inflection points of f(x) as an ordered pair (x,y) c) find the critical numbers of f(x) and use the second derivative test, when possible, to determine the relative extrema.f(x,y)=(x+y) sin 1/(x-1) sin 1/(y+1) the limit of the function is 0 at the point (1, -1), the limit .Prove it using the definition.
- Use derivatives to find the critical points and inflection points. f(x)=5x - 2lnxEnter the exact answers in increasing order. If there is only one critical point, enter NA in the second area. If there are no inflection points, enter NAFor function f(x)= 3x - 8sin(x/2) and interval [ -7, 4 ]. Find a)critical points. b)the intervals on which thefunction increases and decreases. c)relative extrema. d)the intervals on which the function is concave up and concave down. e)inflection points of the function.for the function: f(x)=2/3 x^3-2x^2-6x a.what is the domain b.what is the first derivative f'(x) c. Use the first derivative to find the critical points. On what intervals is the function increasing/decreasing? Identify the local exrema using the first derivative test (give both x and y coordinates) d. What is the second derivative, f"(x) e. Use the second derivative to determine the intervals on which the function is concave up/down. Identify the location of any inflection points (give both x and y coordinates) f. where is the y-intercept of f(x) g. Use a graphing utility (such as desmos) to identify the x-intercepts of f(x). Round to one decimal place as needed. h. sketch a complete graph of f(x) please write the answer neatly, thanks!
- f(x) =10 + 10x¹ - 3x² + 0.2x³ - 0.006x⁴ + 0.0009 x⁵- 0.0000008 x⁶ Find: a) first and second derivative b) critical numbers (also state y-values of the critical points) c) points of inflection d) intervals where f(x) is increasing and decreasing (in interval notation) e) intervals where f(x) is concave up and concave down (in interval notation) f) using the closed interval method, find the global max and min of f(x) g) relative extremaf(x)=(4x^2)/[(x^2)−4]. Calculate the first derivative of f. Find the critical numbers of f, where it is increasing and decreasing, and its local extrema. Find the left- and right-hand limits at the vertical asymptote x=−2, 2, INF, -INF Calculate the second derivative of f. Find where f is concave up, concave down, and has inflection points.BASIC INTEGRATION 1.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x 2.) Given that dy/dx = ∛(x^2 ) and y = 3 when x = -1, find C