Let f(x) = 12 1 + x (a) For what value of c is ƒ a probability density function? 1 C = π (b) For that value of c, find P(−5 < X < 5). (Round your answer to three decimal places.)
Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED
A: Step 1: Identify the formula for the cross product (ex: a x b) of two vectorslet:a and b be vectors…
Q: Assume that all functions are continuous on some interval (a, b). Prove that if y₁ and y2 are…
A: Since we are given that y1 and y2 are solutions of the differential equations y' + p(x)y = f1(x)…
Q: Let f(x) = 4+x if x < −2 if -2 ≤ x < 2. 6 x - if x ≥ 2 Sketch the graph of f. y 4 SH 3 2 4 2 2 4 2 X
A: ANSWER : I have provided another graph without points, so it'll be clearly visible .Here it is…
Q: find the limit. lim t→0^+ (4cost, 12sint, 3tlnt)
A: Step 1:The given function is:f(t)=(4cost,12sint,3tlnt)To find the limit of the vector function as…
Q: Prove the statement using the ε, & definition of a limit. lim (12x) = 7 X-3 This answer has not been…
A: Steps of solution The ε-δ Definition For any ε > 0, there exists a δ > 0 such that if 0 <…
Q: Substituting this simplified numerator back into the limit, factoring and canceling common factors,…
A:
Q: III. Show complete solution. Enclosed your final answer in a red ink box. 1) Find the General and…
A: Step 1: Step 2: Step 3: Step 4:
Q: - Determine the following: a. S b. S. c. S d. S e. S 1 49-y2 dx 5+Cos²x 2 dx dy x²+14x60 dz…
A: Problem (a): ∫ (1/√(49 - y²)) dy Step 1: Recognize the Standard Integral FormThis integral is of the…
Q: t→∞ 4. Let f(x) be a function defined for 0 ≤ x ≤ π with Π and f(x)dx = Π 2 Π f(x) cos(nx) dx = 2-…
A: a: The Fourier cosine series for a function f(x) defined on [0,π] is given…
Q: find the general solution.
A: Step 1: Given differential equation y′+3x2y=0 is a first order linear differential equation of form…
Q: s(t)=-4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] -2.3 0.211 2.6…
A: Given position function with respect to times(t)=−4.9t2+32t+21The average velocity for a time…
Q: 3. Find the volume of the solid formed by the intersection of two cylinders with radius 3, as shown…
A:
Q: HELP ASAP
A: Step 1: Given function, y=x3−3x2−2x+2 Step 2: a) The above polynomial can be written as…
Q: Please solve
A:
Q: Use the given graph of f to find a number ♪ such that if 0 < |x − 3] < & then [f(x) - 2] < 0.5. y δ…
A: ANSWER :
Q: Show that the following trajectory lies on a sphere centered at the origin, and find the radius of…
A:
Q: QUESTION 9 [10 marks] A pentagon having vertices (0; 1), (2; 2), (4; 0), (2; -2) and (0-1) is…
A:
Q: If the vectors in the figure satisfy |u| = |v| = 1 and u+v+ w = 0, what is ❘w|? |W| = u W
A: The problem is asking for the magnitude of vector w given that the magnitudes of vectors u and v are…
Q: 32. Prove: If the equations M₁ dx + N₁ dy = 0 and M2 dx + N₂ dy = 0 are exact on an open rectangle…
A: To prove that the equation ((M1+M2)dx+(N1+N2)dy=0) is exact, we need to show that there exists a…
Q: Determine the measure of angle A in triangle ABC, where A(1, 1, 8), B(4, −3, −4), and C(−3, 1,…
A: To find the measure of angle A, we first need to calculate the vectors AB and AC. The vector AB is…
Q: 3. Give the following limits. a. Let u(x, t) be the solution to problem 2a. Give lim u(x,t). 0047 b.…
A: Here's a general approach to answering this kind of problem:1. Understanding the Heat Equation:The…
Q: Q2 (999 points) Let u(t) = (cost, sint, t), and suppose v(t) is a vector-valued function such that…
A: Step 1:Step 2:
Q: what percent of 420 is 113.4
A: The problem is asking us to find what percent of 420 is 113.4. In other words, we need to find a…
Q: Evaluate (i^{i})^[i] and i^{-1}. (Hint: They might be different) **I got a -i for the second one by…
A: Step 1: Step 2: Step 3: Step 4:
Q: Given a geometric sequence with t₁ + t2= 24, t1t2t 3 = 8000, find r. Answer: r = ☐
A: Ans:
Q: Given the function f(x)=. 17-6x if x 3 lim x → +3 →3 f (x) if it exists. Olim 3 f(x) = 2 lim 3 f(x)…
A:
Q: What is your estimate of the slope? Slope ≈ ? (Round to the nearest integer)
A: ANSWER :
Q: In my calculus 3 class, my professr is talked about the derivation of an equation. However, I feel…
A: The fifth line is:∣a∣2∣b∣2−∣a∣2∣b∣2cos2(θ)Taking out common ∣a∣2∣b∣2, we…
Q: Can you help with the ones I got wrong on this. I am getting it flipped when going to the left and…
A: Let's go through the ones you got wrong: limx→3−f(x):This notation means you're approaching x = 3…
Q: Find the vectors T, N, and B at the given point. r(t) = < t2, 2/3t3, t >, (4, 16/3, 2)
A: Step 1: Step 2:Step 3: Step 4:
Q: This is just another one of the practice questions on my optional study guide.
A:
Q: Help me with the product rule, Differentiate each function with respect to x.
A: There are two different ways in which we can use product rule of differentiation.We will see both…
Q: 5. Let 1 and 2 be two solutions of the differential equation y" +3 '+y'+q(x)y = 0, where q(x) is a…
A:
Q: you are trying to lose weight by running. you wear a device that informs you that you are burning…
A: First, we need to understand the conversion factors. We know that:1 calorie = 4.184 joules1 watt = 1…
Q: 7. The absolute value function is: f(x) = |x|. This can be expressed as a piecewise function: x ≥ 0…
A: Given: The absolute value function f(x) = |x| as a piecewise functionf(x)=∣x∣={x−xif x≥0if…
Q: Find the limit as x --> 0 of {(1/x) - [1/ (e^x-1)]} using both Maclaurin series and L'Hopital's…
A:
Q: QUESTION 3 Evaluate the integral. 3 cost 5x dx ○ 9 X 2x + 2/10 sin 5x + 3 sin 10x + C 160 O 9 3 X +…
A: If you have any problem let me know in comment box thankyou.
Q: please draw the graph and explain it as well along the answer
A: Step 1:Solution-Step 2: Area under the curves is A and B. Step 3:Hence total area under curves is…
Q: Verify by substitution that the given function is a solution of the given differential equation.…
A: ANS :7 Fory1=exCosx Fory1=exSinx ANS :12 Fory1=xCos(lnx) Fory2=xSin(lnx)
Q: Evaluating Limits Graphically Below is the graph of the function f: -18 10 15 + 10 -10 Determine the…
A: • From the given graph webfind that the vertical line x = 1 is asymptotic to the given curve, i. e.,…
Q: The results from the table indicate the two-sided limit of lim 4 + 4x is Hint: x+4 (if the two-sided…
A: Step 1: Step 2: Step 3: Step 4:
Q: Question 2 1 pts A particle moves such that its position at time t is given by t3/2 r(t) = (±³/2, 2,…
A: Step 1: Step 2: Step 3: Step 4:
Q: Solve the Clairaut Differential Equation: y = xp + ep dy Where p = dx
A: The Clairaut differential equation is of the form:y=xp+f(p) wherep=dxdy. In this case, the given…
Q: 1, 0 ≤ x ≤ 1, 1. Find the Fourier sine series and Fourier cosine series for f(x) = on the lx+1, 1< x…
A: Step 1:Step 2: Step 3: Step 4:
Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = = 6* Χ…
A:
Q: please help me im confused thank you
A:
Q: Consider the initial value problem y = 3x(y-1) 1/3, y(x0) = Yo. a. For what points (0, 0) does…
A: Step 1:Step 2:18.Step 3: Step 4:
Q: Using Region R enclosed by the graphs y=x, x-y=4 and y = 0 (x-axis), please do the following. 3 a)…
A:
Q: Solve pls
A: 1. (a) The total mass of three-point masses is the sum of masses of individual masses. So, the total…
Q: This is for part of a practice packet to study for my exam #1! please help!
A:
Step by step
Solved in 2 steps
- Prove that bx=exln(b) for positive b1 .Which of the following tables shows a valid probability density function? Select all correct answers. Select all that apply: x P(X=x) 0 14 1 38 2 38 x P(X=x) 0 18 1 18 2 34 x P(X=x) 0 −310 1 110 2 15 3 1 x P(X=x) 0 0.74 1 0.0 2 0.54 x P(X=x) 0 110 1 15 2 35 x P(X=x) 0 0.18 1 0.76 2 0.0Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) = kx3; [2, 4]
- Consider the following constant function: f(x) = 3/4 If this function represents a probability density function, which of the following can be a set of realized values? A. 2/3 ≤ x ≤ 2 B. 1/4 ≤ x ≤ 1 C. 3 ≤ x ≤ 4 D. 1/2 ≤ x ≤ 3/2Find Prob(3 < x < 7) given that the probability density function is f(x) = .2e:2ª,Let X be the number of minutes that it takes a random selected student to solve a mathematical problem. The probability density function of X is: 1)Find the mean of X. 2) Find the standard deviation of X.
- Find k such that the function is a probability density function over the given interval. Then write the probability density function. f(x) = kx, 13xs3 What is the value of k? k= |(Simplify your answer.) What is the probability density function? f(x) =|Consider a constant function: f(x)= c; a ≤ x ≤ b Suppose that the function represents a probability density function and c<1 , which of the following is true? a. |a−b|<0 b. |a−b|<1 c. |a−b|>1 d. |a−b|=1Find the value of c such that P(Z > c) = 0.28 O a. 0.3 O b. 0.58 O c. 0.85 O d. 0.22
- The random variables X and Y have a joint probability density function given by f(x, y) = way, 0 < x < 3 and 1 < y < x, and 0 otherwise.Suppose that X and Y have the following joint probability density function. f(x, y) = ₁34y, 0 0, x − 2 < y < x + 2 154, (a) Find E(XY). (b) Find the covariance between X and Y. Round your answer to 4 decimals. Round your answer to 4 decimals.Consider the function O O If possible, find a value for kЄR which makes this a valid probability density function. A: k = 1, B: k = -1 O O U O O A O B F G H f(x) E: k = 24 = [k(2x-x²) 0SEE MORE QUESTIONS