Question 10 What is the theoretical probability of rolling a 5 on an 8-sided die? 5/8 7/8 3/8 Text 1/8 aring your screen. Stop sharing

Q: Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as…

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: Determine the point at which the line passing through the points P(1, 0, 6) and Q(2, -1, 2)…

A: Topic = 3D-Geometry

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

A: Given,  S'(t) = -20 t2/3   To find : Time required to manufacture computer

Q: 10+ 9 8 7 6 5 4 3- 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5 -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7…

A: Graph of the function is given, we have to find the values of…

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y=√x 4 X 6 X = 8 8 X

A: Topic - Area of shaded region We are given curves as y=x3andy=1xshaded area is from x=1 to x=8

Q: The graph of a function y = f(x) is shown below. The function is constructed using line segments and…

A: We can graph the given function by using the transformation rules.

Q: Find the value or values of c that satisfy the equation f(x)=3x³ +6x², [-2,1] 1(b)-1(a) b-a = f'(c)…

A:

Q: Find the scalar and vector projections of b onto a. a = (-8, 15), b = (3,5) scalar projection of b…

A: given  a=-8,15b=3,5scalar projection of b onto a is =b→.a→a→vector projection of b onto a is…

Q: 2(x³ + xy² + y)dx + (2x²y³ + 4xy² + 2x²y + x^y + 2x)dy=0; y(2) = 0

A: Let's solve given differential equation.

Q: Given a function h, defined as h(x) = bx - 4, where b is a constant, which of the following…

A: We have given function  hx=bx-4 Put x=3 h3=3b-4 Similarly, Put x=b hb=b×b-4 hb=b2-4

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A: We have to slove above questions

Q: Given the following piecewise function, evaluate f(−3). f(x)={6x+5−5x+2x<−3x≥−3

A: Here is the solution:

Q: The number of bacteria in a culture is modeled by where t is in hours. (a) The initial number of…

A: The number of bacteria in a culture is modeled by nt=1750e0.39t. We have to find the required…

Q: Evaluate the following li (a) lim 2+3+ (b) lim =-=- 13x 5 - 4x 13x 5 - 4x 11

A:

Q: 1. Find a recursive definition for the sequence 7, 11, 15, 19, 23,... Assume the first term in the…

A:

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 10 ft above the…

A: We know that Pythagoras theorem " In a right-angled triangle, the square of the hypotenuse side is…

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12s² - 21s +54 s(s² +9) Your…

A: Given function:- Fs=12s2-21s+54ss2+9

Q: 5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at x = 2.

A:

Q: Suppose f and g are continuous functions such that g(5) = 2 and_lim [3f(x) + f(x f(x)g(x)] = x → 5…

A: Given;  g(5)=2 and limx-5[3f(x)+f(x)g(x)]=20.

Q: Determine whether the following sequences converge or diverge. Answer "Converges" or "Diverges." nh…

A: Explanation of the answer is as follows

Q: What is one plus one

A: ADD two number

Q: 2?′+5?=10

A:

Q: Given: triangle ABC, find the length of side b. Round to the nearest integer. A. 110 ITF B. 111 A…

A: We are required to find the length of side b using the data given in the figure.   In ∆ABCLength of…

Q: a) Find f(-3) if f(0) = 0. b) Find f(-3) if f(4) = 15. c) Find f(-3) if f(-5) = 30.

A: We are asked to find the f(x).

Q: F(x) = 5x²-x+2 f(a+i)=

A:

Q: The cost function for manufacturing electric drills is estimated to be: C(x): 4x². = - 6x + 784.…

A:

Q: If 0.6 J of work are needed to stretch a spring from 14 cm to 16 cm and 1 J are needed to stretch it…

A:

Q: sin 57 a sin 37 127

A: given  sin(57°)a=sin(37°)127

Q: 4. lim a-2+ a+1 a²-4 1-²) 6-a² a4

A: Here we have to find the limit of a function.

Q: -iangle RST, side r measures 88 mm; angle S is 37° and angle T is 107°; find side T. Draw the…

A: Given query is to find the Indicated side.

Q: Let R be the region enclosed by f(x) = x² + 4. g(x) = (x - 3)² and the axes x = 0 and y = 0. Compute…

A:

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. lim ev1x²+5y² . (x,y)→(1,4) =

A: A=lim(x,y)→(1,4)e1x2+5y2for finding limit  put x=1  and y=4

Q: int (7)/((x+a)(x+b))dx  Evaluate the integral. (Assume  a ≠ b.  Remember to use absolute values…

A:

Q: Camels have been reported to drink as much as 22.5 gal of water in 12 hr. How many liters can they…

A: Given that Camels have been reported to drink as much as 22.5 gal ofwater in 12 hr. Our Aim is to…

Q: (a) Evaluate F(-2) (b) Evaluate lim F(x) For parts (c)-(e) please read the graph of f(x) (c)…

A:

Q: Find the solution of the following differential equations. Show your solutions. 1. (3x + 4y)dy + (y…

A: A detailed solution is given below.

Q: Find the distance from the point (-2, -2, 2) to the plane 3x−5y+5z=9.

A: given point is  (-2,-2,2)  plane is  3x-5y+5z=9standard form of plane is  ax0+by0+cz0+d=0formula for…

Q: WOW THANKS! Can you help with question 18 too? I realized I already answered 20 after i sent it

A: Here is the solution:

Q: Find lim f(x) if, for all x > 1, x →∞ 12ex - 21 4ex < f(x) < 3√x VX-1

A:

Q: Suppose that f is a f(x) = 6x² + cx 6x² + cx if x 2 Determine the value of c for which the limit of…

A:

Q: Prove the following identity by working only on the left side of the equation.  (sinx)(cotx +…

A: We can prove the given statement in the below steps using the appropriate formula.

Q: f(x) g(x) lim X-5 (Type an integer or a simplified fraction.) =

A:

Q: Find the arclength of y = 4x² +5 on 0≤x≤1 Question Help: Post to forum Submit Question

A:

Q: The graph is the following function. f(x) = x sin ( 10 ) {x # 0} and 0 {x=0} The function is…

A: If a function is continuous at x = k then limx→k-f( x ) = limx→kf( x ) = limx→k+f( x )

Q: -4 -1 3 2 1- -1- -2 -3 -4 1 Language and Notation 4 Select an option below to see how mathematicians…

A:

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: A detailed solution is given below.

Q: lim f(x) = 8. x → 2+ As x approaches 2 from the left, f(x) approaches 4. As x approaches 2 from the…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (a) Find values for the parameters a and Po. Round your answer for Po to three decimal places. Enter…

A: follow the procedure given below.

Q: Find the values of λ that satisfy the following equation: 01 λ 3 22 λ-2 202 2

A:

Q: Using d'Alembert's solution, we obtain that the solution to the problem utt=9uxx u(x,0)=3x²,…

A: