A cylinder expands with time. The helght of the cyllnder Increases at a rate of - In/h and the radlus Increases at a rate of 1 In/h. How fast Is Its volume Increasing when the helght Is 6 In and the radius Is 2 In? (V = rr²h). Select one: а. 26л b. 16т c. dfrac1267 d. - 26т

Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

A:

Q: The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of...

A:

Q: Convert from degrees to radians (a) 300 degree  (b)-18 degree

A: We know that  Therefore, we have --

Q: Using: limx→4f(x)=7limx→4f(x)=7 and limx→4g(x)=4limx→4g(x)=4, evaluate limx→4f(x)+g(x)3f(x).limx→4f(...

A:

Q: Evaluate the limits. f(x)={8x+7x2−8x≤1x>1f(x)={8x+7x≤1x2−8x>1 Enter DNE if the limit does not ...

A: Given function is Firstly, we will find left hand limit and right hand limit at x=1. For left hand ...

Q: 2. Graph and shade the region enclosed by the curves y = (x – 3)* and y = x. Find the volume of the ...

A:

Q: The integral of the function f(x) = (6x2 + 10x + 2) dx / (x + 3x² + 2x) may be determined by partial...

A:

Q: The volume of a cylinder is 900 cubic cm. Find the dimensions in cm that will minimize the surface a...

A:

Q: Answer this question, please.

A: We will have to divide by as many 9s , as there are repeating numbers. And we divide by as many zero...

Q: The order of the differential equation: ( d*t )2– 5(- dr 10 10 dr - )3 + xt = 0 is

A: The order of a differential equation is defined as the highest derivative present in the differentia...

Q: Calculus Question

A: Consider the given integral

Q: 17. Finding functions from partial derivatives Suppose that f and g are functions of x and y such th...

A: Hence, f doesn't contain any term with x and g doesn't contain any term with y Hence, f is a functio...

Q: If the length of a building is 2 times the width and each dimension is increased by 6 ft, then the p...

A:

Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution  

Q: Find the volume of the following solid. The solid bounded by the paraboloid z= 29 - 8x - 8y and the ...

A:

Q: 1. Match the rational functions (a)-(d) with the corresponding partial fraction decompositions (i)–(...

A: (a)

Q: Write number in scientific notation. 0.0027

A: Scientific notation is used to write very large and small number in a way that they are easy to comp...

Q: Graph the functions

A:

Q: Q6: In the year 2020 you have completed your graduation with HRM specialization from HCT College and...

A:

Q: Determine whether the following series converges or diverges. Show all necessary steps. k (α) Σ k(k ...

A:

Q: FIND THE FIRST DERIVATIVE

A:

Q: What is the answer?

A:

Q: Write number in scientific notation. 638,000,000,000,000,000

A: A number in its scientific Notation is written as some integer(less than 10) multiplied by 10 to the...

Q: In Exercises 23–26, sketch the region of integration and convert each polar integral or sum of integ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Q1 ,b

A:

Q: Answer this question, please.

A:

Q: How can we solve This question?

A: We need to find the rate at which balloon is rising in the air. This means we need to find dh/dt

Q: Let me R be the region in the first quadrant enclosed by the graph of f (x) = (square root )(cos x),...

A:

Q: Consider a plane in space that passes through the point (1, 3, 4) whose normal vector n is a directi...

A: The direction vector of given line is Therefore, normal vector to given plane is  We know that eq...

Q: f(x)% 3D tanh In(2x) is equivalent to

A:

Q: Evaluate:a. √81    b. -√9   c. √1/25  d. √36 + 64   e. √36 + √64.

A:

Q: During COVID-19 Global lock down, there is  short supply of cycles in the market in the month of Apr...

A:

Q: Find the derivative dydx of the polar function r=3+2cosθ at θ=π6.

A:

Q: Use a graph to find the limit from the left and the limit from the right. |x - 3| lim X— З X→3- |x –...

A:

Q: Solve the homogeneous differential equation of superior order with constant coefficients:

A:

Q: Find the local extrema points of the function f(x)=(x−a)ex, where a is an arbitrary real number.

A: Consider the function   

Q: Find the x- and y-intercepts of the equation y = (x – 3)2 + 2. Sketch the graph of the equation, not...

A:

Q: 1. Find the area of the surface generated by revolving the parametric curve x =rcos , y = r sin & (0...

A:

Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–3. ' 1. ƒ...

A:

Q: he surface of an island is defined by the following function over the region on which the function i...

A:

Q: In Problems 37 and 38, find all critical numbers. Distinguish between absolute, endpoint absolute, a...

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: Find the differential of each function.

A:

Q: FIND THE FIRST DERIVATIVE

A: y = cos 4 x -  sin 4 x

Q: Find the extreme values of ƒ(x, y) = xy subject to the constraint g(x, y) = x2 + y2 - 10 = 0.

A:

Q: Express the area and perimeter of an equilateral triangle as a function of the triangle’s side lengt...

A: Given Side’s length of equilateral triangle is x units.

Q: I need help with parts a and d

A:

Q: The weight of a person relative to the Earth is inversely proportional to the square of the person’s...

A: According to given information Where W is weight (in pounds) of astronaut, d is distance (in miles)...

Q: A straight trail with an inclination of 17° leads from a hotel at an elevation of 9000 feet to a mou...

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.