Baruch College, CUNY

$Graph. Be sure to label the vertices. a) (24x^2 )+ (2y^2) = 72. b) {36(x-5)^2} + {4(y-2)^2} = 36.$

Statistics

Statistics Solutions

Graph. Be sure to label the vertices. a) (24x^2 )+ (2y^2) = 72. b) {36(x-5)^2} + {4(y-2)^2} = 36.

Graph and find the solutions for the quadratic function x²- 4x + 4

Calculus

Differential equations Solutions

Graph and find the solutions for the quadratic function x²- 4x + 4

$Find the indicated derivatives of the following functions. No need to simplify. a. Find f'(x) where f(x) = arctan (1 + ∛x) b. Find dy/dx where y is implicit defined by sin(2yx) – sec (y^2) – x = arctan (π) c. Find f'(x) where f(x) = {(1 + x^2)^1/x} +$

Calculus

Differential equations Solutions

Find the indicated derivatives of the following functions. No need to simplify. a. Find f'(x) where f(x) = arctan (1 + ∛x) b. Find dy/dx where y is implicit defined by sin(2yx) – sec (y^2) – x = arctan (π) c. Find f'(x) where f(x) = {(1 + x^2)^1/x} + (That's (1 + x^2) raised to the power 1/x) d. Find {d^(47)y} / {dx^(47)} | x=2 (the 47th derivative of y with respect to x at x=2) where y = ln (1 + 2x)

One card is selected from a deck of cards. Find the probability of selecting a club or a card less than 3. (Note: The ace is considered a low card.)
A) 4/13
B) 9/26
C) 19/52
D) 23/52

Statistics

Probability Solutions

One card is selected from a deck of cards. Find the probability of selecting a club or a card less than 3. (Note: The ace is considered a low card.) A) 4/13 B) 9/26 C) 19/52 D) 23/52

Find the indicated probability. Round your answer to 6 decimal places when necessary.
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.441. Find the probability that in a given year it will not

Statistics

Probability Solutions

Find the indicated probability. Round your answer to 6 decimal places when necessary. Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.441. Find the probability that in a given year it will not snow on January 1st in that town. A) 0.559 B) 2.268 C) 0.789 D) 1.441

Rationalize the denominator and if possible, simplify:
(3 + √6) / (9 - √6)

Math - Others

Basic Math Solutions

Rationalize the denominator and if possible, simplify: (3 + √6) / (9 - √6)

Graph xy = -12. Be sure to include the table of values used to make the graph.

Geometry

2D Geometry Solutions

Graph xy = -12. Be sure to include the table of values used to make the graph.

The equation V = 1800e^1.21t. describes the value of an investment after I years. For the investment, give the initial value, the continuous growth rate, the annual growth factor and the annual growth rate. Round your answer for the annual growth fac

Math - Others

Functions Solutions

The equation V = 1800e^1.21t. describes the value of an investment after I years. For the investment, give the initial value, the continuous growth rate, the annual growth factor and the annual growth rate. Round your answer for the annual growth factor to three decimal places, and your answer for the annual growth rate to one decimal place a)The initial value is b)The continuous growth rate is c)The annual growth factor is d)The annual growth rate is

$Which of the following sets is not a finite set? (A) { (x , y) : x^² + y^2 ≤ 1 ≤ x + y, x, y ∈ R } (B) { (x , y) : x^2 + y^2 ≤ 1 ≤ x + y, x, y ∈ Z } (C) { (x , y) : x^2 ≤ y ≤ |x|, x, y ∈ Z } (D) { (x , y) : x^2 + y^2 = 1, x, y ∈ Z}$

Math - Others

Sets and Relations Solutions

Which of the following sets is not a finite set? (A) { (x , y) : x^² + y^2 ≤ 1 ≤ x + y, x, y ∈ R } (B) { (x , y) : x^2 + y^2 ≤ 1 ≤ x + y, x, y ∈ Z } (C) { (x , y) : x^2 ≤ y ≤ |x|, x, y ∈ Z } (D) { (x , y) : x^2 + y^2 = 1, x, y ∈ Z}

Which formulas can be used to find the surface area of a right prism where p
is the perimeter of the base, h is the height of the prism, BA is the area of
bases, and LA is the lateral area? Check all that apply.

A. SA = BA + ph
B. SA = BA+ 1/2 LA
C.

Math

Area Solutions

Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, BA is the area of bases, and LA is the lateral area? Check all that apply. A. SA = BA + ph B. SA = BA+ 1/2 LA C. SA = BA + 1/2 ph D. SA = BA + LA E. SA - BA - LA

Do each of the following:
Describe some of the similarities and differences among Euclidean, Spherical, and Hyperbolic geometries with respect to:
a) triangles.
b) models for the geometries.
c) parallels.

Math

Basic Math Solutions

Do each of the following: Describe some of the similarities and differences among Euclidean, Spherical, and Hyperbolic geometries with respect to: a) triangles. b) models for the geometries. c) parallels.

Graph. Be sure to label the vertices.
a) 24x^2 + 2y^2 = 72
b) 36(x - 5)^2 + 4(y-2)^2 = 36

Geometry

2D Geometry Solutions

Graph. Be sure to label the vertices. a) 24x^2 + 2y^2 = 72 b) 36(x - 5)^2 + 4(y-2)^2 = 36

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