Calculus Question

Q: Match problems with corresponding answers.  Thanks. I keep getting three wrong

A: As a first step, let's summarize the function, it's derivative and it's double derivative at one pla...

Q: Given the vector r(t) = { cosineT, sineT, Ln (CosineT) } and point (1, 0, 0) find vectors T, N and B...

A: The given vector is,

Q: An equilateral triangular plate with sides 8 m is submerged vertically in water so that the base is ...

A: The hydrostatic force is equals to the hydrostatic pressure times the area.The hydrostatic pressure ...

Q: Related rates The Incredibles are trapped in an enclosed cone-shaped reservoir that stands point dow...

A: The provided information are as follows            Height of the cone = 10 ft            radius of t...

Q: Can you help me step by step?

A: Since, the function f is an even function, so by definition of even function:

Q: By cutting away identical squares from each corner of a rectangular piece of cardboard and folding u...

A: Draw an open made by cutting identical square from each corner of a rectangular piece of cardboard a...

Q: A surveyor standing 70 feet from the base of a large tree measures the angle of elevation to the top...

A:

Q: Can you help me step by step?

A: Given,           The graph of f(x)

Q: Lost on the last part

A: The derivative of the model is given below:

Q: (a) A wire of length 3 is cut into two pieces which are then bent into the shape of a circle of radi...

A: Given that wire length is 3 and cut into two part and make as a circle and square

Q: how to find critical points of x + 16/x and if they are local min or maxima

A: Critical points of a function f can be computed by equating its derivative to zero as follows.

Q: I need help with this example

A: Given equation

Q: Please match the problems in picture 2 with corresponding answers in picture 1. I have been working ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: 45. A small island is 2 km off shore in a large lake. A woman on the island can row her boat 10 km/h...

A: Let the woman lands x km from the closest point on shore.Therefore, she is 6-x km from the village.

Q: Calculus Question

A: volume of the sphere=4/3(pie.rcube)

Q: What is the exact point of r if the point (-4,2) lies on the terminal side of an angle x when drawn ...

A: It is given that, the point (-4,2) lies on the terminal side of the angle.

Q: How would one go about finding the average rate of change and net change for a function such as: 3 s...

A: Given, function

Q: To find the distance across a river a surveyor chooses points A and B, which are 10ft apart on one s...

A: Given that there are two points A and B on same side of river at 10ft apart and a reference point C ...

Q: Write a polynomial with real coefficient have degree 4 and zeros -1,2,1-2i Find all zeros write answ...

A: Given that

Q: 4. For the following function: 1 a) f(x) b) f (x) V4-x c) f(x) 2 In(x + 4) 2x 3 (a) Find the domain ...

A: Domain of a function is a set of values in which the function is defined and the range is a set of v...

Q: problem in photo attached

A: Given that,

Q: A lont strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides...

A: Let x be the sides and B is the base. Perimeter is 12. The cross section of the area is given by bas...

Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and secon...

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test is:f''(x...

Q: Can you help me step by step?

A: Given graph is

Q: 2.7 Can you show me the steps to solve step e? 1) f(t) = t^3 - 9t^2 +24t e) Find the total distance ...

A:

Q: Find for dx + In y 0. ett Differentiate both sides of the equation with respect to x, and then solve...

A: Consider the given equation 

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given term is (1.999)5Let x = 1.999

Q: 2.6 Can you show me the steps to solve the problem? Directions: Find dy/dx by implicit differentiati...

A: Given, 

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

A: Let be the volume and r be the radius of the sphere respectively.

Q: 10. Given that f is a quadratic function with minimum f(3) = 6, find the vertex, range, and x-interc...

A: Consider the given question,Quadratic equation is a parabolic equation and its vertex is highest or ...

Q: Write the formula for the derivative of the function f(x) = 6x5 f'(x)

A: Consider the given functions:

Q: While on vacation in France, Sadie bought a box croissants. Each croissant cost 2.4 euros. Write a f...

A: Each croissant cost 2.4 euros.Hence, the function that represents the cost in euros for x croissants...

Q: Help with number 8 part d

A: To identify the interval(s) in which the speed is increasing, as per the given function s(t)

Q: Parts B, C and D please

A: NOTE: As you have posted question with multiple subparts, we will answer the first subpart of the qu...

Q: 30. The population of a species is given by the function 100000 P(t) 100900e-t where t is measured i...

A: Refer to the question , here the population of a species is given by the function P(t)= 100000/100+9...

Q: Suppose that the weekly sales volume (in thousands of units) for a product is given by y = (38)/(p+5...

A: Given weekly sale volume expression for a product is

Q: Calculus Question

A: Consider the given function:

Q: Let g(x)=   (49x2 − 9)^1/2 The function g is increasing on the following interval(s):   (−∞...

A: When g'(x)>0 then the function will be increasing and when g'(x)<0 then the function will be d...

Q: Postal regulations specify that a package sent by a certain shipping method may have a combined leng...

A: Given, combined length and girth of no more than 96 in.Assume, the length of cylindrical package is ...

Q: 4) Solve the integral: Show work 10x2-48x + 160 dx (x - 4)2 (x2 + 16)

A: Given,

Q: Can you help me step by step?

A: Given information:

Q: How do I find the x-coordinate of the point of inflection of f(x)=x(x-8^(1/2))?

A: The given function is,

Q: A weather balloon is rising vertically at the rate of 10ft/s. An observer is standing on the ground ...

A: Given: -

Q: problem in photo attached

A: Take the constant out of the integral sign. Simplify the expression  as x1/3 

Q: Can you help me step by step?

A:

Q: Calculus Question

A: Since both the variables are a function of t, we differentiate the expression with  respect to t.

Q: For n a positive interger, compute the area under the graph of y=sinn x cos3 x for 0<= x <= pi...

A: Consider the given function for which area under the curve to be calculated:

Q: A cube with 35-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter...

A:

Q: Can you help me step by step?

A: First we draw a rough sketch of the situation. where c is the child and K is the kite. K\' is the ne...

Q: ts1 Solve for (1+t2)y' + 4ty = f(t), y(0) = -3/4, with f (t) = { _ t 1

A: Solve