Use the counting techniques. A bag contains two red marbles, three green ones, one fluorescent pink one, four yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.

Q: Using the Laplace theorem, find the determinant of the following matrix : D = [2 1 3}/ [4 5 6]/ [7 8…

A: The objective of this question is to find the determinant of a 3x3 matrix using the Laplace theorem.…

Q: Use the arc length formula to find the length of the curve y = 54x, -2 ≤ x ≤ 4. Check your answer by…

A:

Q: 4. [-19.09 Points] DETAILS LARCALC12 11.2.060. Find the vector z, given that u = (1, 2, 3), v = (2,…

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…

A: The rate at which the volume of the snowball is decreasing (due to the negative value of dv/dt) when…

Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: Solve the following improper integrals. For each of them statewhether the integral is convergent or…

A: ∫0∞​xe−x is convergent and converges to 1Explanation:∫01​1−x​1​dx is not convergent by p test it is…

Q: Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of…

A: Given a functionf(x,y,z)=z3−x2yTo find: Directional derivative of f(x,y,z) at the point (5,−5,5) in…

Q: day is given by the following. P(x) = -0.05x² + 22x - 120, 0 < x < 400 (a) List all the critical…

A: Note: According to Bartleby guidelines, we can solve only first three subparts of the question.  If…

Q: n x” lnxdx X

A: Given that

Q: Do the following with the given information. 21 cos(x²) dx (a) Find the approximations Tg and Mg for…

A: The integral is given by:Formulas for the trapezoid rule and midpoint rule:Trapezoid rule:Midpoint…

Q: Consider the following list of activities with time (in months) Activity A B C D E F…

A: C) Variance of project completion time is  6.0 months2D) The probability of completing is…

Q: Consider lim,-6 f(x), where f(x) = 7x+9. Find a maximum value of 6 such that: If(x) 511 <0.003 if |x…

A:

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 3x + 8 x²+x+1 (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated…

A: The given function is

Q: PLS HELP ASAP

A: Answer- I have given hand written solution in the explanation box. Explanation:Step 1:Step 2: Step…

Q: find the derivite of 9 sin squared (-6x to the sixth power)

A: The answer for the given question has been solve step by step below please find the attachments…

Q: A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of…

A:

Q: 7. Let f be function such that f(1)=7andf′(1)=12. Find h′(1) for the function h(x)=f(x)f(x).

A:

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

A:

Q: Evaluate S 6x In (5x)dx. 1/5 S 6x In (5x)dx= 1/5 (Type an exact answer.

A: The given integral

Q: dy Solve da 319-319 Solve dy = dx x-4 x+1 xy

A: The solutions have been provided.Explanation:

Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

A:

Q: Does the series converge or diverge? What test do I use to see what value it converges to? What…

A: Here's the solution of the given question. Explanation:

Q: Consider the following time series data Month 1 2 3 4 5 6 7 8…

A: The answers are given below please have a look.Explanation:

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: Compound interest formula: A = P(1+rt)Variable description:A: Final amountP: Principal amount…

Q: Let f(x) = 3√x - 6x. (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

A:

Q: Use the function y = 6x from x = 0 to x = 1 and n equal subintervals with the function evaluated at…

A: The given function  from The area under the curve by using Left hand endpoint over the interval

Q: The area of a circle is increasing at a constant rate of 88 square meters per second. At the instant…

A: The area of a circle is increasing at a constant rate of 88 square meters per second.dAdt=88 square…

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to ƒ…

A: • The Mean Values Theorem is satisfied. • The value of c guaranteed by the Mean Value Theorem on [1,…

Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a • b = 3.75877  Explanation:

Q: ints Find the general solution to the equation in implicit form dy 1 dx yey+x =

A: The given differential equation is

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: b=23​,c=27​Explanation:Approach to solving the question:  Detailed explanation:

Q: Find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point (2π/2, -3π/2,…

A: To find the equation of the tangent plane to the surface z = cos(3x) cos(4y) at the point ( 2π/2,…

Q: pls answer these question using differential solution and provide a solution no definition just…

A: The correct options are:1) D2) A3) CExplanation:

Q: THIS IS CALCULUS (integral) in ft and lb please find the work done by the force to stretch the…

A: The objective of this problem is to find the work done by the force to stretch a spring 7 inches…

Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

A:

Q: Compute the characteristic polynomial det (xI - A) of A. Show that landa = 5 is an eigenvalue of A.

A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for the below…

A: The estimated change in area is 515.22 mm2 (rounded to two decimal places).Explanation:We find the…

Q: ㅠ . Find the unit tangent vector for the vector function r(t) = (t², 2 sint, 2 cost) at t = 3

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 1 for f(x) = ln(x + 1). T2(x) =…

A:

Q: Find the curvature of y =sin(3x) at x =

A: Curvature is the measure of how much a curve curves at each point on the curve. It is defined as the…

Q: 3. Sketch a graph of y = 3 sin(2x-π) + 2. List below 5 points of 1 cycle.

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 - x^2 and…

A: Given the region is bounded by the curve and line

Q: Find the first partial derivatives of the function. f(r, s) = r In(r³ + s²)

A: Please find the below attachment.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Question 4 Let 4x²+20x24 x²-4 f(x) = Ax- x-1 B 1 x<-2 ' -2≤ x ≤1 x1 Find A and B, if any, such that…

A:

Q: g(x)=x³ sin (√√x) sin(√)

A:

Q: Given f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the…

A: Given:  To Find: To determine the equation of .The range of .The x-intercept (if any) of .The…

Q: 4. The diagram is a rectangular prism. Let u = AB, v = AD and w = AE. Express each vector as a…

A: The diagram of the rectangular prism isthe side vectors of the rectangular prism are

Q: 20. Given a = [3,-5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

A: