15. A music concert is organized at a memorial auditorium. The first row of the auditorium has 16 seats, the second row has 24 seats, the third row has 32 seats, and so on, increasing by 8 seats each row for a total of 50 rows. Find the number of people that can be accommodated in the sixteenth row. (Show work)

Q: Find the derivative of the vector function r(t) = ta × (b + tc), where a = (1,-1, -2), b = (2,…

A:

Q: a.Ek=1[k2 – (k – 1)3] b. Σ=1[k3 – (k – 1)3] 8 c_E=ovk+1_V

A: To evaluate the following sum.

Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = if…

A:

Q: α. Σ=of (2k) b.Σ=2f()_c.Σ=19(f(k)).

A: we need to evaluate the sum."Note that as per the rules, we are supposed to answer the first three…

Q: 50x 7500 Given the function from question 6, P(x) = 100 - determine profit when number of attendees…

A:

Q: y = x + 2 sin x (-л, π)

A: we need to find out the intervals where the given function is concave up and concave down.

Q: Find the limit, if it exists, or type N if it does not exist. 4xy + 4yz+xz 16x² + 16y² + z² lim…

A: To find:-

Q: Name all angles that are in standard position. y W X Y Z

A: If one ray of an angle is on the positive x-axis and its vertex is at the origin, the angle is said…

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 5…

A:

Q: A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall, the…

A: The objective of this problem is to find the rate at which the bottom end of the board is sliding…

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √49 - x², 0 ≤ x ≤ 6,…

A: To find the area of the segment of a sphere formed by revolving the graph of ​, , about the…

Q: 디 EX tx

A: We need to solve the inequality.

Q: Given the following Case 1 rational function, 3x-6 x² - 2x + 1 Identify the matching response for…

A:

Q: Could you explain how you got 2/5 from -2/5* ln(4) + 3/5*ln(4)? Whenever I add just the fractions on…

A: Given:To find:solve the expressionThe log rule-

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order…

A:

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. J lim (x,y)→(0,-4) ev1x²+5y²

A:

Q: MY NOTES nction, in dollars, for the food truck Crepes by Monice is given by the function P(x) =…

A:

Q: A country's production of solar power, in megawatts, can be modeled by f(t) = 350(1.3)', where t is…

A:

Q: Integration by parts  XE^4x dx

A: he

Q: z = y² sin(3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: 3) What does the matrix (_co cos (0) – sin (0) sin (0) cos (0) represent?

A: I have provided a detailed answer in the Explanation section.Explanation:The matrix[cos(θ)…

Q: Consider the following. y = 2x5 + 5x4 - 15 (a) Find the critical values of the function. (Enter your…

A:

Q: Use the formula x(x) x(x) = y = 2x4 * 1 + (f'(x))²]3/2 to find the curvature.

A:

Q: The graph below is of a transformed trig function with NO horizontal shift. Write its equation. (Use…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The Bessel equation of order one-half, ty" - ty' + (²-2)y nonhomogeneous equation below. t²y +ty² +…

A:

Q: Determine the values of x for which the function (x) = sinx can be replaced the Taylor polynomial x³…

A: Given:function Taylor polynomial To find:values of x for which the function can be replaced by the…

Q: Determine if the sequences converge or diverge.  an = (ln n)/ln 2n   an = e^-n ln n   an = (3n…

A: • Sequence 1: Inconclusive • Sequence 2: Converges (e^-n dominates) • Sequence 3: Converges…

Q: Find the first partial derivatives of 2х — у f(x, y) = 2x + у of Әх -(3,4) = of -(3,4) = ду at the…

A: To find the first partial derivatives of

Q: Find the derivative of the vector function r' (t) = ( -> r(t) = ln(5t²)i + √√19+tj-8e²t k ID 9 9

A:

Q: Find the length of the curve. L = r(t) = (2 sin (t), 7t, 2 cos (t)), -4≤ t ≤ 4

A: The curve is defined by  .Find the length of it.

Q: Hi, this is incorrect ?

A: To find a positive value of  such that the average value of  over the interval  is 20.

Q: Construct a Sign Chart for the following polynomial function and state the intervals where this…

A: F(x)=-2(3-2x)(x-3)^2(x^2+1)

Q: 10. Complete the square of the denominator of the integrand of the following anti-derivatives: X-1…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: If 3y² + x² = −3 − 3x then find dy in terms of x and y. modta If 4x² + 2 = 3y - 5y² then find in…

A:

Q: Use Linear Approximation to estimate Af = f(11.05) - ƒ(11) for f(x) = x+1' (Use decimal notation.…

A:

Q: Determine the equation of the tangent to the curve y= (2x^2-3)(x+1)^2 at the point where x=1 Thank…

A: The equation of the tangent line to a function y= f(x) at (a,b) is given byy - b = f'(a)(x - a)

Q: Find an equation for the graph sketched below -5-4-3-2 8+ 7 654 5 4- 3 2 244 1 -3 -4 -6 -7 1-8+ * ď

A:

Q: a) How many feet did you walk in 8 minutes? b) Where, relative to your starting location, are you…

A:

Q: 97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of…

A:

Q: 2+ 4 y=x-2 f(x) -X

A:

Q: The figure below shows the graph of a function over the closed interval [-1,2]. y=f(x) Answer parts…

A: From the given graph

Q: 22. Determine the area of AABC with vertices A(3,-2,4), B(1, 3, 2), and C(-1,2,4).

A: we are given three vertices of a triangle and we need to find its area.

Q: Consider the curve r = (e³t cos(6t), e³t sin(6t), e³t). Compute the arclength function s(t): (with…

A:

Q: Find the Maclaurian series for the function f(x) = e Select one: O a. O b. O C. O d. e = + 110 = e…

A:

Q: A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush…

A: Given the rate R(t) at which cars enter the highway is given by the formula  cars per minute.

Q: Peter wishes to create a retirement fund from which he can draw $40,000 when he retires and the same…

A: The objective of this question is to calculate the present value of an annuity due, which is a…

Q: Use logarithmic differentiation to find the derivative of the function. (5x +1) 5 (x4 - 8)6 Y =

A: The given function equation

Q: ? The function M(t) = (a+(b− a)ekmt)1/m is known as the von Bertalanffy function and was introduced…

A:

Q: Give the derivative of y=.

A: The given function

Q: If the total cost function for producing x lamps is C(x) = 960 + 37x + 0.6x² dollars, producing how…

A: