1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

Q: A new running track is to be constructed in the shape of a rectangle with semicircles at each end…

A:

Q: Q1) If the radius of a circle is 16 cm, what angle in degrees is subtended by an arc of 7 cm ? Q2)…

A: 1)Given that the radius of the circle is 16 cm and the length of an arc is 7 cm.It is required to…

Q: Find the Arc lenght of the graph of the function f(x)=(4/5)x^5/4 on (0,4)

A:

Q: If the function y=e^-2x is vertically compressed by a factor of 3, reflected across the y-axis, and…

A:

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Here are graphs of the area covered by two different types of mold d days after they were first…

A:

Q: Compare the graphs of the functions. Y = In and Y, = Inx - In 2

A: Given: The functions given are  Y1=lnx2   &  Y2=ln x -ln 2

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: A hypothetical function representing the concentration of a drug in patient's bloodstream over time…

A: Given c(x) = 5xx2+1 x c(x) 0 5(0)02+1 = 0 1 5(1)12+1 = 52 2 5(2)22+1 = 2 3 5(3)32+1 = 32…

Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line?…

A:

Q: A woman 5 ft tall is standing near a street lamp-that is 12 ft tall, as shown in the figure. Find a…

A: A women 5 ft tall is standing near a street lamp that is 12 ft tall.

Q: Find a function that models the area A of a circle in terms of its circumference C.

A: Area of a circle with radius r is A=πr2 and circumference is C=2πr. On simplifying the circumference…

Q: A pebble is embedded in the tread of a rotating bicycle  wheel of diameter 60cm. If the wheel…

A:

Q: Consider the function. f(x) = 9x2 – 2, x = 1 to x = 2 Find the area (in square units) under the…

A: As we know that the area under the curve f(x) is : Area=∫abf(x)dx

Q: A pen in the shape of an isosceles right triangle with legs oflength x ft and hypotenuse of length h…

A: Given: An isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be…

Q: Compare the graphs of the functions. Y, = In and Y, = In x – In 2

A:

Q: Find a formula for the function graphed Jse u for the Heaviside function.

A:

Q: Find a formula for a function g(æ) whose graph is obtained from f(x) = Va by shifting right 3 units,…

A:

Q: The graph of a function is shown together with the tangent line at a point P. y 10 9 8 6. 5 4 2. 3.

A: Tangent line: - A tangent line is a line that touches a curve at only one place locally. The…

Q: Find the local extrema of the following functions

A:

Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

A:

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

A:

Q: If the function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and…

A:

Q: Both the front and rear wheels of a motor scooter have a reflector attached to their spokes.  The…

A: Given: The front and rear wheels of a motor scooter have a reflector attached to their spokes. The…

Q: The length of a rectangular box is to be twice its width, and its volume is to be 24 ft3. The…

A:

Q: 3 Find the exact values of the circular functions whose 0 4

A:

Q: The hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: The hypotenuse of a right isosceles triangle is made into a circle C.Length of legs of…

Q: Q1) If the radius of a circle is 12 cm, what angle in degrees is subtended by an arc of 4 cm ? 02)…

A: As per our guidelines we are supposed to answer only first questionKindly repost other  as the…

Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: Given that the graph of f passes through the point (1,5) and that the slope of its tangent at ( x,…

A: Given :Graph of f(x) passes through the point (1,5). Hence (1,5) is a point on the graph.Let x1=1…

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore,  −2x = −8…

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A:

Q: Sketch the graphs of each of the following functions for x between 0 and 2n. Label the x-axis in…

A:

Q: Graph the curve of the function F(x)= sgn([x]+1)

A: Providing a solution to given question assuming the symbol x denotes the floor function . The Floor…

Q: Find the slope of the tangent line to the graph of the given function f (x) = 4x³ at the point (2,…

A:

Q: In general, the sketching of the trace of any function can be facilitated by dividing the plot area…

A: For given statement

Q: The triangular holes have a base of 3 inches and a height of h inches, and the other dimensions are…

A:

Q: If the function y=e−x is vertically compressed by a factor of 2, reflected across the y-axis, and…

A:

Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

A:

Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

A:

Q: Investigate the range of each parent function below over the interval 0 < x < 1. Then order the…

A:

Q: Once to the top of El Capitan, 3,000ft hight, he used a rope to propel down. He descended at a rate…

A:

Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

A:

Q: The figure shows a page with 1-inch margins at the top and the bottom and half-inch side margins. A…

A: Let the length and width of the printed page be y and x, respectively. Given printed area of page is…

Q: Differentiate the following function with respect to y. eª + 3^y = 1

A: We will find the derivative.

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: Given:  From a 12‐cm by 12‐cm piece of cardboard, square corners are cut out so that the sides can…

Q: If the function y = e-2x is vertically compressed by a factor of 3, reflected across the y-axis, and…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.