L, 5x/(9 – 4x)-dx

Q: A cubical crystal is growing in size. Find the approximate change in the length of a side when the…

A:

Q: A rectangle's length is 5 metres longer than twice its width. If both the length and the width are…

A:

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: Just observe that increment of 2% to the original 100% means 102% which is equal to 1.02

Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the…

A: The given data is: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels…

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

A:

Q: A cylindrical pool has a height of 8 feet and a radius of 6 feet. How fast is the volume of the…

A: Here we solve the given problem of calculus.

Q: y%3C122X + C2e x + x econd derivative) y3C1e2x + C2e x + x

A:

Q: 3. Express (j-3)° in rectangular form.

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

Q: suppose the yo-yo string is 28 inches and it completes one revolution in 3 seconds. If the closest…

A:

Q: A raindrop falls into a puddle and causes a circular ripple to spread out. The radius of the ripple…

A: Ripple is perimeter of circle after 6 seconds

Q: How fast is the area of the circle of the ripples expanding at the instant that the radius of the…

A:

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: What are the dimensions of the rectangular field of maximum area that can be fenced with exactly 500…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the week before.…

A: It is given that the plant grows 1.67 cm in its first week. Each week the plant grows by 2% more…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the…

Q: The original 24 m edge length x of a cube decreases at the rate of 2m/min.   When x=2 m, the…

A: Given,           The original 24 m edge length x of a cube decreases at the rate of 2 m/min.We know…

Q: A man wants to enclose a rectangular area and divide it into two pens with fencing parallel to one…

A:

Q: I am having trouble understanding how to graph triple and double integrals.

A: Draw the region of integration E.

Q: Use differential to approximate the square root of 16.5

A:

Q: What is the image of (-9,-1) after a dilation by a scale factor of 2 centered at the origin?

A: Consider the image of points P(-9, -1) then, P-9,-1

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A:

Q: What is the image of (3,-12) after a dilation by a scale factor of centered at the origin?

A: TO find the image of the point, multiply the given point by the scale factor.

Q: What is the family of the equation y=2* linear? quadratic? or exponential? HY

A: Solve the following

Q: 2.. lim ay

A: We find limit of given function

Q: The base of a right triangle is fixed at 3 ft., the hypotenuse is 5 ft. Iong and subject to change.…

A: Pythagoras Theorem states that in right triangle the length of square of hypotenuse is equal to the…

Q: What is the image of (-4, 9) after a dilation by a scale factor of 3 centered at the origin?

A:

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

Q: Proctice Completina th 2x716x+9=| ニ1

A: Given that: x2+6x+9=1

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

A:

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: Use a linear approximation to estimate the number sqrt9.1  .

A:

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given: The distance that a person can see to the horizon on a clear day from a point above the…

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: A cylindrical can, open at the top, is to hold 470 cm of liquid. Find the height and radius that…

A:

Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

Q: Find the dimensions of a rectangle with area 27000 m2 whose perimeter is as small as possible. (Give…

A: Explanation and solutions is given below.....

Q: What is the image of -1,9 after a dilation by a scale factor of 2 centered at the origin?

A: Given problem:- What is the image of -1,9 after a dilation by a scale factor of 2 centered at the…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: #9. In exact form

A:

Q: x 2 - - 14x +33 Evalvate the indeter minate integrel

A:

Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

A:

Q: triangle

A:

Q: For the first 10 days in December, a plant cell grew in such a way that t days after December 1, the…

A:

Q: The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is…

A:

Q: A spacecraft is launched from the surface of a 6.7 x 1024 kg planet. If the spacecraft is moving at…

A:

Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

A: Dimensional analysis: A method of analysis in which physical quantities are expressed in terms of…