9. Use the table below to answer the question. School Population By Gender Males Females Total Freshman 17 25 Sophomores Juniors 15 10 25 12 13 25 Seniors 15 10 25 Total 50 100 In a school of 100 students, what is the probability of randomly selecting a student that is either a female or a senior? 10 A. 100 25 B. 100 60 C. 100 65 D. 100 Eleelels

Q: Find the equation of the tangent line to f at x = a. f (x) = x2 + x, a = 1

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: I am attaching image so that you understand each and every step.

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A:

Q: Vx + Vy = 4 find the third derivative

A:

Q: Given the function f(x) - xer, Determine the open interval(s) where the function is concave up Deter...

A:

Q: The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is mo...

A:

Q: An iron rod at a temperature of is placed in a room at a constant temperature of . If after minutes ...

A:

Q: Consider the function f(#) For this function there are two important intervals: C 4x 42 and (A, x) w...

A: Here, the given function is: f(x)=2x+54x+2

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A:

Q: Consider the following curve. RO) = Determine the domain of the curve. (Enter your answer using inte...

A: Given f(x) = x-3x2  to find local minimum values, find the values of x when f'(x) = 0

Q: 2. Will the limit of all polynomial functions / (x) as x approaches a be always equal to the value o...

A: Find your answer below 

Q: dy TC * of y = In [tan (G +)1 dx

A:

Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A:

Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's func...

A:

Q: graph of f(x). 3 4.

A: Find your answer below 

Q: 5. lim f(x) = +0, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3D -1+ ...

A: Note: As per our company's guidelines we are supposed to answer three sub-parts of the question. Kin...

Q: (2) In a GP  if T2 = 10 and T5 = 1250, find:-  T10

A: Given  In a G.P. T2 = 10 &amp; T5 =1250 To find T10:

Q: Determine the tangent line(s), in standard form, to the curve y = (x- + 1) (x – 9) that are perpendi...

A:

Q: Find the radius of convergence of the power series. (If you need to use oo or -0o, enter INFINITY or...

A:

Q: EX Find the area of the s had ed of fig show belwo usetng dxdy X=-1 DZ D3

A:

Q: 2. Consrler he follawing linea prcoromming problem a) Construct Ale sholck lca associated th problem...

A:

Q: Find the first derivative.

A:

Q: CoS y By-2) dy

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: Answer the following questions for the function 2 f(x) = x /x² + 36 defined on the interval – 5 < x ...

A: Given function is  f(x)=xx2+36  ,        -5≤x≤5 Differentiate with respect to x , we get  f'(x)=x2+3...

Q: Consider the function: 36x2- 25 f(x) = %3D Step 1 of 2: Find the critical values of the function. Se...

A:

Q: 33. Find an equation of the hyperbola which has the given properties. A) Vertices at (0, 3) and (0, ...

A:

Q: solutions using Integrating Factors Found by Inspection a. ydx + 2(y^4 − x)dy = 0 b. y(x^3 e^xy − ...

A: A detailed solution is given below

Q: 2x2+5 1. lim x→0 x²-3x-1

A:

Q: find f ′(x) for each function. f (x) = 5x3 − x + 1

A: Let's find. 

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). C=-2" Choos...

A:

Q: 1+cscx 7. h(x)=- 1-cscx

A: Given the functionh(x)=1+cscx1−cscx

Q: Find the arc length made by a central angle of pi/4 radians and a radius of 10 cm.

A: Given problem:- Find the arc length made by a central angle of pi/4 radians and a radius of 10 cm.

Q: . A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and b...

A:

Q: Provide an appropriate response. Given fx) dx = 4 and g(x) dx = 2. use properties of definite integr...

A: We have to solve the integration

Q: find f ′(x) for each function. f (x) = x4 + 2/x

A: f(x)=x4+2x f'(x)=dfdx        =ddxx4+2x        =ddxx4+ddx2x       =4x3+2-1x2

Q: Find the nth Maclaurin polynomial for the function. 2x – 4 f(x) : n = 4 %3D 1. X + 1 Pa(x) =

A: The nth Maclaurin polynomial is    f(x)=f(0)+f'(0)x+f''(0)2!x2+f'''(0)3!x3+...........+fn(0)n!xn Her...

Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved ab...

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

Q: 7. What is the value of A. -4 B. C. D. 4 -lei

A: 7. we know that        a-n  = 1anlet x =12-2x = 1122x = 22x = 4OPTION:D

Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

A:

Q: A typical student in an Intermediate court reporting class can reach a level of recording W(t) = 40 ...

A: W(t) =40 +37 t2t2+22W '(t) = 0 +(t2+22)37(2t) -37 t2(2t)(t2+22)2W ' (t) =22*37*2t(t2+22)2W ' (t) =16...

Q: 11. In y = e" sin x

A:

Q: A particle moves counterclockwise around the ellipse with equation 9x? + 16y² = 25. a) At what rate ...

A:

Q: The limit below represents the derivative of some function f(x) at some number a. 10 sin(2 + h) – 10...

A:

Q: Consider the function f which is given on its domain (0, ∞) by f(x) = 18x2 – (36x + 9) ln(æ) . • Fin...

A: Let's find. 

Q: Classify the series as absolutely convergent, conditionally convergent, or divergen 5(- 1)k+1 4k k=1...

A: Find your answer below 

Q: 5 =5 Hence, 6"-1 is divisible by 5 is (10.). for n=1 Part 2: Assume that 6" - 1 is divisible by 5 fo...

A:

Q: n Consider the series Which of the following is equal to an+1 for this series? 2n n=1 an a. n + 1 2n...

A: Given query is to perform indicated operation.

Q: Use the special comparison test to find whether the following series converge or diverge. 31. E (2n ...

A: We will use Limit comparison test to solve this

Q: Secos(sin-tw)dv dv S- e2cos(sin¬{w) – 4 dv S- 4+ ecos(sin-w)

A: To find the values of dv such that the antiderivatives(integrals) exists.

Q: Which of the following series converge absolutely? a. (-1)" Σ n3 n=1 n=1 00 C. (-1)" Σ Vn n=1 b.

A: To find the Absolute Convergence of the given series.