The number of different mammal species observed along a transect through a forest is a random variable X with CDF F₁ = 0.01, i = 0 0.16, i = 2 0.36, i = 8 0.71, i = 13 0.96, i = 17 i = 20 What is the expected value of the random variable X? Round your answer to five decimal places.

Q: Below is an attempt to derive the derivative of csc a using the product rule, where x is in the…

A:

Q: 6 Let g (2) = -3 cos (z) sin (2) Determine an indefinite integral of g. s - 6 3 cos (z) sin (z)dz

A: The given integration is

Q: Determine whether the following series converges or diverges. Hint, write as a sum of rational…

A: The given series

Q: 16 / FLX Evaluate 1+√3 2 f(x, y, z) ds. f(x, y) = 3y - X S: r(u, v) = cos(u)i + sin(u)j + vk 0 ≤us π…

A: We have to evaluate the integral.

Q: Assume f(3) = 0, f'(3) = 6, g(3) = 1, and g'(3) = 3 f(x) g(x)* Find h'(3) given h(x) = A. -2 B. 2/2…

A: Given,

Q: items. C(x)=500+7x+0.04x² A company has total cost function C(x) (in dollars), where is x is the…

A:

Q: Solve the exponential equations: A) e²x - 4ex - 5 = 0 B) 2x+¹= 3²x-1

A:

Q: Consider the solid bounded by the plane sx=0,y=0, and x+y=2 along with z=4−x2. Find the volume of…

A: We have to find the volume of the solid.

Q: The dye dilution method is used to measure cardiac output with 7 mg of dye, using the following…

A:

Q: Find the Maclaurin series for f(x) = e−²x. Hint: Maclaurin series for ex: x2 1+x+ + + + 2! 3! 4! O 1…

A:

Q: A clock has a radius of 5 in. What is the arc length on the clock between 12:00 and 1:00?

A: Arc length is given by

Q: (b) A = 40°, a = 10, b = 2

A: b) "As per the company rule, we are supposed to answer the first question, and rest of the question…

Q: csc csc(x) dx Expand fraction by csc(x) + cot(x): csc(x) (csc(x) + cot(x)) csc(x) + cot(x) 1² dx

A:

Q: X lim x+3+ (x + 2)(x-3) A. -∞ is B. 3 C. 0 D. co

A:

Q: The function f is given by f(x) = (2a³ + bx)g (a), where b is a constant and g is a differentiable…

A: First we differentiate f(x) w.r.t x

Q: A differentiable function f is given by the table. Estimate f'(4.3): X f(x) 3.7 4.3 4.9 5.5 6.1 1.8…

A:

Q: A company makes portable heaters for outdoor dining. The company has total cost function C(x) =…

A: A company makes heaters for outdoor dining. The company has total cost function  and the total…

Q: 231 Evaluate the integral (x²yz + xy²z + xyz²)dzdydx 010

A:

Q: Write the following sentence regarding a limit symbolically. 5 (x − 1)² The limit of the function…

A: when x tends to 1 then the function tends to positive infinity.

Q: (a) A = 20º, b = 11, c = 7

A: (a) Given thatNow, we are using the law of cosines

Q: ind the fangent line for... 1x1) = +²+et ( (1) = sh (k) + t at t=0 B) r(e) = sinG + case at 6: T

A: Explaination of the answer is as follows

Q: a. Find the value of a for which the matrix A is singular, A = [97] b. Find the inverse matrix B-¹…

A:

Q: The boundary-value problem y'' + 4y = 0, y(0) = 0, y(π/2) = 0 has a non-zero solution. true or false

A: y"+4y=0 y(0)=0 y(π/2)=0

Q: Find the area of the surface. The portion of the cone z = 2√x² + y² inside the cylinder x² + y² = 36…

A:

Q: For the subset "The set of points on the line given by x+2y=0" verify whether it is a sub space of…

A:

Q: The graph below on the left represents y=f(x), what is the equation of the graph on the right? 5-…

A: From the given graph

Q: Suppose the profit from the sale of x items of a product is P(x) = -x² +82x - 81. What two…

A:

Q: 1. Which of the following is not the sense of why there is a need for arbitrary constant? (a) to…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: An online retail company determined that their cost for each day, x, can be determined by the…

A: An online retail company determined that their cost for each day, x, can be determined by the…

Q: Find the area of the portion of the sphere of radius 4 (centered at the origin) that is in the cone…

A: The surface area of the required plane uses the following surface area of an equation

Q: The function f(x) = √16 - 2x is continuous on the interval [0, 8]. Which number is its average value…

A:

Q: lim 0-0 A. sin(0+h)- sin 0 h - cos 0 C. cos 0 B. - sin 0 D. -2 cos 0

A: To evaluate the following limits.Note: Since, there is a confusion whether the limit is  because…

Q: Which of the following is an antiderivative of f (x) = tan (e²+ ) on 0 ≤ x ≤ ln ( 7 ) ? A B D sec²…

A:

Q: The 3 x 3 matrix D is defined in terms of the constant k by D 2 k lk - 2 -1 3 4 2 3 J k+7] Given…

A:

Q: Question 4.2. In each case let R be the region under f over the given interval and let S be the…

A:

Q: zero is given. Chint: the other two zeros 6. For the polynomial Function, one Find all other zeros.…

A:

Q: Find for y=x²³√x+1. dx A. 3x² 2√x+1 C. 3√x+1 B. D. (7x+6) 2√x+1 2√x+1 √26 +1

A:

Q: Evaluate 1dx using Simpson's rule with N = 4 1+x3

A:

Q: A random variable has CDF given by F₁ = JA i = 0, 1, 2 1 i = 3 if A = 0.81, then what is p3? Round…

A:

Q: Example 4c) find lim x-0 lim x→0 √x+1-1 lim =1-1 √x+1-1 1-1 0 0 X-0 X 0 Multiply top & bottom by the…

A:

Q: Find the x-coordinate of the point on the graph y = x² that is closest to the point (16.¹)

A: The given equation of the curve  Let point  lie on the curve which is the closest to point Then

Q: The figure below shows the graph of f. Use the figure to answer lim f is x--6+* A. 1 D. no limit 22…

A: We have to find the limit of piecewise function from the given graph

Q: Evaluate the indefinite integral given below. Provide your answer below: [52 5x4 csc² (2x5) cot5…

A:

Q: Find the length of the cardioid r= 2-2 cos 0. The length of the cardioid is (Simplify your answer.)

A:

Q: ㅠ B. St x2 Vx2+4 dx

A: The given integral is

Q: lim 7n²+n Atạo ntsinin) ● n^n! (n+2)^(n+I)! 7e-2 but how??

A: To show that, .

Q: How is the graph of y = i and ii 1) horizontal compression by a factor of 1/2 II) translation 2…

A: 1). The transformation of  can be obtained by the expansion of the graph of  horizontally by a…

Q: Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤T/2. In each case…

A:

Q: Divide using polynomial long division. Report quotient with remainder fraction. 3 (x - - 19) = (x² −…

A:

Q: -1/ 2 y = sin ¹(x² - 1)

A: