The equation of the line tangnet to the graph of 24e^x at x=2?

Q: A man 6 ft tall walks away from the base of a street light at a rate of 4.2 ft min⁻¹. If the light…

A: Given a man 6 ft tall walks away from the base of a street light at a rate of 4.2 ft min⁻¹. the…

Q: A right triangle has legs of 30 inches and 40 inches whose sides are changing. The short leg is…

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Q: Give 1 problem for differentiation rule of exponential

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Q: ; Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: Please refer to the image below.

Q: kel derivative

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Q: What is the rate of change of the area?

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Q: the area of a circle is decreasing at a constant rate of 181 square centimeters per second. at the…

A: Given, dAdt=181cm2sec now we know area of circle is: A=πr2 now derivate both side w.r.t t…

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: To solve the following problem of finding the rate of change in height

Q: A right triangle has legs of 3 inches and 4 inches whose sides are changing. The short leg is…

A: dhdt=7 in/sec , dbdt = -10 in/sec

Q: One side of a right triangle is 150 m long and its adjacent angle is π/3 radians, with π/60 radians…

A: Possible error

Q: Suppose that a mothball loses volume by evaporation at a rate propotional to its instataneous area.…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: Rate of change

Q: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.04…

A: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of  0.04…

Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

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Q: tion with 2 degrees of freedom. Find hree decimal places.

A: It is given that the t distribution with 2 degrees of freedom. We have to find c such that P(-c <…

Q: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 9 inches and 12 inches whose sides are changing. The short leg…

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: Let V is the volume of the pool. Water is pouring at the rate of 9 cubic feet per minute, means…

Q: If the radius of a circle increases at a rate of o.01 inch per second, find the rate of change of…

A: Let the radius be r, The rate of change of radius , drdt=0.01 inch per secondArea of the circle is…

Q: A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The length…

A: Given:A rectangle has a length of 10 inches and a width of 4 inches whose sides are changing. The…

Q: A rectangle has a length of 1 inches and a width of 12 inches whose sides are changing. The length…

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Q: The slope of a tangent line at a given point on a curve tells the rate of change for the function at…

A: Let the given curve be f(x) -  Then f'(x) will be the slope of a tangent line at a given…

Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A rectangle has a length of 11 inches and a width of 5 inches whose sides are changing. The length…

A: In the given rectangle  Width b = 5 inches Length l = 11 inches Length increasing rate dl/dt = 9…

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: A weather balloon is rising vertically at the rate of 5 meters per second. An observer is standing…

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Q: The side length'of a square is decreasing at a rate of 5 kilometers per hour. At a certain instant,…

A:

Q: A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene…

A: The Initial value of machine is 25000 and its depreciates linearly to 0 over a ten year period. We…

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: A right triangle has legs of 24 inches and 32 inches whose sides are changing. The short leg is…

A: Given, Measure of two legs of a right triangle: 24 inches, 32 inches. Let x be the short leg and y…

Q: Suppose that a car has passed the checkpoint, A, at 10:05:10 am with an average speed of 110Km/hr.…

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Q: A right triangle has legs of 18 inches and 24 inches whose sides are changing. The short leg is…

A: A right triangle has legs of 18 inches and 24 inches. The short leg is decreasing by 3 in/sec. The…

Q: A right triangle has legs of 33 inches and 44 inches whose sides are changing. The short leg is…

A: to find:- dH/dt.

Q: The radius of the base of a cylinder is increasing at a rate of 1 meter per hour and the height of…

A: Let , the radius of the cylinder=r meterand the height of the cylinder=h meterGiven…

Q: A right triangle has legs of 27 inches and 36 inches whose sides are changing. The short leg is…

A: Given that  Right triangle has  AB = 27 inches  BC = 36 inches Rate of change of short leg i.e. 27…

Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

A: Since, we have been given that all edges of a cube are expandingat a rate of 8 centimeters per…

Q: A boy is walking toward the base of a pole 20 m high at the rate of 1 m/sec. At what rate (in meters…

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Q: A rectangle has a length of 11 inches and a width of 10 inches whose sides are changing. The length…

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Q: A conical tank with the vertex down measures 10 meters in height and 9 meters in diameter of its…

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Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: Given that:                          Sides of legs = 6 in and 8 in.Decreasing rate of shorter side,…

Q: A right triangle has legs of 12 inches and 16 inches whose sides are changing. The short leg is…

A:

Q: A rectangle has a length of 7 inches and a width of 8 inches whose sides are changing. The length is…

A:

Q: A light sits on the ground 20 feet away from a very tall wall. A 5-foot-tall person walks toward the…

A:

Q: A right triangle has legs of 21 inches and 28 inches whose sides are changing. The short leg is…

A: Length of the legs are 21 inches and 28 inches and the short leg is increasing by 10 in/sec and the…

Q: A 5 meter ladder is sliding down a vertical wall so the distance between the bottom of the ladder…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.